(a) Magnitude of the force that the left side of the groove exerts on the ball is 26.4 N. (b) Magnitude of the force that the right side of the groove exerts on the ball is 21.5 N.
(a) Magnitude of the force that the left side of the groove exerts on the ball:
The centripetal force (Fc) required to keep the ball moving in a circle can be calculated using the equation:
Fc = (m × v²) / r
m × g × h = (1/2) × m × v²
v² = (2 × g × h)
v² = 2 × 9.81 × 1.20
v² = 23.55
v = √(23.55)
v = 4.854 m/s
Now, we can find the centripetal force (Fc):
Fc = (3.00 × (4.854)²) / 1.40
Fc = 26.4 N
(b) Magnitude of the force that the right side of the groove exerts on the ball:
Weight of the ball (Fg) = m × g
Fg = 3.00 × 9.81 m/s² = 21.5 N
So, the magnitude of the force that the right side of the groove exerts on the ball (the normal force) is approximately 21.5 N.
To know more about the force:
https://brainly.com/question/13191643
#SPJ12
Newton’s first law explains why roller coasters? A:starts with a big hill. B: can cause damage to the human body C:need constant pulling to stay moving. D are fun.
Newton’s first law explains why roller coasters option C. need constant pulling to stay moving.
What is Newton's first law?Newton's first law states that an object at rest will remain at rest and an object in motion will remain in motion with the same speed and in the same direction unless it is acted upon by an external force.
Therefore, for a roller coasters to keep moving there should be a constant pulling to stay moving. It could be concluded that the correct answer is as given above.
learn more about Newton's first law: https://brainly.com/question/10454047
#SPJ1
At right is a graph of force versus position for a block attached to spring. Consider the interval during which the block moves from x = 0.5 m to x = 0.1 m.
a. During this interval, what is the sign and absolute value of the work done on the block by the spring? Explain b. The spring is replaced by a rope that pulls with a constant force of magnitude F0. What must the value of F0 be so that the work done by the rope as the block moves from x = 0.5 m to x = 0 1 m is the same as the work done the spring as the work done by the spring as the block moves from x = 0.5 m to x = 0.1 m? Explain
The work done by the spring as the block moves from x = 0.5 m to x = 0.1 m is negative and equal in absolute value to the area under the graph bounded by the x-axis and the line connecting x = 0.5 m and x = 0.1 m. The value of F0 required for the work done by the rope to be equal to the work done by the spring is equal to -50 N.
a. During the interval of the block moving from x = 0.5 m to x = 0.1 m, the work done on the block by the spring is negative and equal in absolute value to the area under the graph bounded by the x-axis and the line connecting x = 0.5 m and x = 0.1 m. This area is shaded in the graph.
b. The value of F0 required for the work done by the rope to be equal to the work done by the spring is equal to the average force exerted on the block by the spring during the interval. This can be found by calculating the average of the force values at the two positions, which is equal to the average of the y-values of the graph at x = 0.5 m and x = 0.1 m. This results in F0 = -50 N.
The work done by the spring as the block moves from x = 0.5 m to x = 0.1 m is negative and equal in absolute value to the area under the graph bounded by the x-axis and the line connecting x = 0.5 m and x = 0.1 m. The value of F0 required for the work done by the rope to be equal to the work done by the spring is equal to -50 N.
learn more about work done here
https://brainly.com/question/10334435
#SPJ4
If x and t represent distance and time, respectively, the C in x = (1/2)Ct^2 must
A. have the dimensions L/T2
B. have the dimensions ML/T?.
C. have the dimensions M
D. be dimensionless.
E. have the dimensions L2/T2,
If x and t represent distance and time, respectively, the C in x = (1/2)×C×t² must have the dimensions L/T²
The relationship between time (t) and distance (x) is expressed in the form x = (1/2)×C×t² in the equation x = (1/2)Ct². As a result, the constant C must have the dimensions L/T² or length divided by time squared.
This is due to the fact that the constant C must have dimensions of L/T² in order for the equation to be dimensionally balanced and for x to have the dimensions of distance (L) and t to have the dimensions of time (T).
This is so that the equation, which must have the units of L/T², the units of acceleration, can express the position of a particle traveling in a straight line with a constant acceleration, where C is the constant acceleration.
This is how the equation was analyzed in terms of dimensions. It is a means to check whether the equation is mathematically consistent.
Learn more about dimensions at
https://brainly.com/question/24313121
#SPJ4
A light ray in air strikes the right-angle prism shown in the figure (Figure 1) (?B= 23.4?). This ray consists of two different wavelengths. When it emerges at face AB, it has been split into two different rays that diverge from each other by 8.50? .
Find the index of refraction of the prism for each of the two wavelengths.
Enter your answers in ascending order separated by a comma.
What is the speed of light for these two wavelengths in the prism?
The index of refraction of the prism for each of the two wavelengths are 1.07 and 1.08.
Given the the angle at which the light ray strikes the prism ∠B = 23.4
Let the refractive index of first wavelength = n1
The index of refraction from second wavelength = n2
The light ray emerges at face AB, it has been split into two different rays.
The angle of diffraction of two rays = 8.50
We use snell's law to calculate the refractive indices. From this, the angle of incidence is the same as the angle of reflection in the air ∠i = ∠r.
Let the angle formed by first wavelength = θ1 = 90-23.4 = 66.6 + 12 = 78.6
From snells law n1 sin i = n2 sin θ1
Here n1 is the refractive index of first wave and n2 is refractive index of air = 1 and i = 66.6 while θ1 = 78.6
Then n1 = 1 x sin 78.6/sin 66.6 = 0.98/0.91 = 1.07
The normal and the other refracted beam make an angle of θ2 = 78.6 + 8.5 = 87.1
n1' sin i = n2 sin θ2
n1' = 1 x sin 87.1/sin 66.6 = 0.99/0.91 = 1.08
Hence the refractive indices of prism of two wavelengths are 1.07 and 1.08.
To learn more about refractive index click here https://brainly.com/question/23750645
#SPJ4
A bus in traffic increases its speed from 10km/hr to 23km/hr in 2 minutes. What is the average acceleration of the bus?
The average acceleration of the bus is −6.00 m/s².
What is average acceleration?The definition of average acceleration is the change in velocity per unit of time. Acceleration is measured in squared time-distance units. The word "average" is interpreted as a symbol with a bar over it, therefore "a-bar" stands for average acceleration. Calculating Average Acceleration: The change in velocity is calculated by dividing the end velocity by the initial velocity, then multiplying the result by the change in time. This result is known as the average acceleration (a). a = v t = v f v I t. How quickly an object is travelling in a specific direction is determined by its velocity. In the formula -a=vt=vfv0tft0, where an is average acceleration, v is velocity, and t is time, the average acceleration is the rate at which velocity changes.a = ? ; Δt = 1.50 s ; v1 = 9.00 m/s ; v2 = 0.00m/s
The formula to use in this case is the definition of acceleration stating that the acceleration a = Δv / Δt or a = (v2- v1) / Δt where v2 is the final velocity and v1 is the initial velocity.
Solving for the acceleration a
a = (v2- v1) / Δt
a = (0 - 9.00 m/s) / 1.50 s
a = - 9.00 m/s / 1.50 s
a = −6.00 m/s^2
The average acceleration of the bus is −6.00 m/s^2.
The complete question is,
When a bus comes to a sudden stop to avoid hitting a dog, it slows from 9.00 m/s to 0.00m/s in 1.50 seconds. What is the average acceleration of the bus?
To learn more about average acceleration refer to:
https://brainly.com/question/104491
#SPJ4
given the fact that the wire is floating at rest, derive an expression for b.
The dB = 0/4 Idl r/r2 for a conductor segment of length and orientation dl carrying a current i. According to Biot-Savart law, the magnetic field generated by a minute current
The sine of the angle formed by the current's direction and the line connecting it to a point, and it is also inversely proportional to the square of the current. According to the Biot-Savart law, "the magnetic field due to a current-carrying conductor at a distance point is directly proportional
The Biot-Savart law expresses the partial B field contribution of a current in a conductor from a tiny conductor segment. dB = 0/4 Idl r/r2 for a conductor segment of length and orientation dl carrying a current i.
The complete question is- Express the magnitude of the magnetic force in terms of the current Z length L and the Part (c) Given the fact that the Wire is floating at rest; derive magnctic ficld B an expression tOr Part (d) Calculate the numerical value of B in tesla .
Learn more about magnetic here-
https://brainly.com/question/3160109
#SPJ4
What did the universe's thermal radiation spectrum consisted mostly of when it was 380,000 years old?
When the universe was 380,000 years old, its thermal radiation spectrum was mostly composed of microwaves.
What is radiation?Radiation is the emission of energy from any source that is capable of producing electromagnetic radiation such as light, X-rays, gamma rays and radio waves. Radiation is a form of energy that can be beneficial or harmful depending on the type and dose.
This is because at this point in its history, the universe had cooled enough that its thermal radiation spectrum was mostly in the microwave region of the spectrum. These microwaves are known as the Cosmic Microwave Background Radiation (CMBR). This radiation is believed to have been emitted by the hot, dense early universe shortly after the Big Bang.
The CMBR is one of the most important pieces of evidence for the Big Bang theory. It is uniform across the sky and is detected in all directions. Its temperature is approximately 2.7 Kelvin, which is about -270.45 degrees Celsius. This radiation is also believed to be the oldest light in the universe, as it has been travelling through space for billions of years.
To know more about radiation click-
https://brainly.com/question/1408043
#SPJ4
onsider the following reaction: PbCO3(s)⇌PbO(s)+CO2(g)
You may want to reference (Pages 833 - 836) Section 19.7 while completing this problem.
Part A
Using data in Appendix C in the textbook, calculate the equilibrium pressure of CO2 in the system at 410 ∘C.
Express your answer using two significant figures.
Part B
Using data in Appendix C in the textbook, calculate the equilibrium pressure of CO2 in the system at 240 ∘C.
A. The reaction given is PbCO3(s) ⇌ PbO(s) + CO2(g) which is at equilibrium at 410 ∘C.
The equilibrium constant (Kp) for this reaction at that temperature can be found using the data in Appendix C of the textbook.
The value of Kp at 410 ∘C is 1.0 x 10^-5.
To calculate the equilibrium pressure of CO2 in the system at 410 ∘C, we use the following equation:
Kp = [CO2]^(coefficient of CO2 in the balanced equation)
[PbO][CO2]^1 = 1.0 x 10^-5
Since the coefficient of CO2 in the balanced equation is 1, we can substitute the value of Kp into the equation as:
[CO2] = √(Kp) = √(1.0 x 10^-5) = 1.0 x 10^-2.5 = 3.162 x 10^-3
The equilibrium pressure of CO2 in the system at 410 ∘C is 3.162 x 10^-3 atm.
B. For equilibrium pressure of CO2 in the system at 240 ∘C, we can use the Kp value at that temperature which is 1.5 x 10^-7 from the Appendix C.
[CO2] = √(Kp) = √(1.5 x 10^-7) = 1.5 x 10^-3.5 = 2.121 x 10^-4
The equilibrium pressure of CO2 in the system at 240 ∘C is 2.121 x 10^-4 atm.
It should be noted that the values of Kp, pressure and temperature are interrelated in the equilibrium constant equation.
As the temperature decreases, the pressure of CO2 decreases as well.
To know more about equilibrium pressure refer to:
brainly.com/question/30115703
#SPJ4
You are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the thermosphere(really hot it is 2000 degrees fahrenheit)
You need to survive from extreme cold and extreme hot temperature, low air pressure with difficulty in breathing and no medium of sound travel, when you are in thermosphere.
What is atmosphere?All life on Earth is shielded by the atmosphere, which is made up of gases that regulate temperature and reflect harmful solar rays. It shields living things from the sun's harmful rays.
From 80 to 400 km are in the thermosphere r above the mesopause. The earth's radio waves are reflected by this stratum. In this layer, as you ascend, the temperature begins to increase once more.
Learn more about atmosphere here:
https://brainly.com/question/26767532
#SPJ1
the British system is
a) A system of units that is slowly being phased out
b) A banking system for the British Isles
c) Most widely used system of units
d) Mass transit system of London
If 63Li is struck by a slow neutron, it can form 42He and another nucleus a. What is the second nucleus? (This is a method of generating this isotope.) b. How much energy is released in the process? Express your answer to four significant figures and include the appropriate units.
The second nucleus of 63Li is 21H when struck by a slow neutron and also form 42He. The energy is released in the process is 4.784 MeV.
What substance is exposed to neutron irradiation?Although uranium-238 does not fission, it does absorb neutrons when blasted, turning them into plutonium-239. Plutonium-238 is created when uranium-235 absorbs neutrons.
What or who does a neutron strike?There is no charge on a neutron. Through physical collisions with nuclei, they communicate (target nuclei). Together, g and the nucleus. The probability and types of reactions that can occur depend on the neutron kinetic energy. The nucleus recoils as a result of the collision when the neutron impacts it. Some of the atomic electrons are removed as the nucleus passes through the nearby atoms. Ionization occurs along the route of the nucleus when it recoils as a result of the impact.
Learn more about neutrons here:
brainly.com/question/2643869
#SPJ4
You are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the thermosphere(really hot it is 2000 degrees fahrenheit)
pls help me:) this is due tmrw:)
The thermosphere is really hot it is 2000 degrees Fahrenheit. But you would need to survive from extreme cold temperature, harmful solar radiation, low air pressure in the thermosphere.
What is thermosphere?One of the layers of the earth's atmosphere that spreads outward is the thermosphere. The thermosphere layer, which is above the mesosphere and below the exosphere layer and covers a significant portion of the ionosphere.
Molecules in this layer are photoionized by ultraviolet radiation, which means that ions are produced in this layer of the atmosphere when a photon interacts with an atom or molecule.
Learn more about thermosphere here:
https://brainly.com/question/13497783
#SPJ1
Part G For the segment BC in the bacterium's trajectory; calculate the € component of its velocity: Express your answer in micrometers per second: Azd UBCx pm Submit Request Answer Part H For the segment BC in the bacterium's trajectory, calculate the y component of its velocity: Express your answer in micrometers per second: Azd UBCy pm Submit Request Answer
The y component of the velocity for the segment BC in the bacterium's trajectory is 8.7 μm/s, calculated by using the equation UBCy = UBCcos(θ).
The y component of the velocity for the segment BC in the bacterium's trajectory can be calculated by using the following equation:
UBCy = UBCcos(θ)
Where UBC is the magnitude of the velocity of the segment BC and θ is the angle of the segment BC.
In this problem, UBC is 10 μm/s and θ is 40°.
Therefore, the y component of the velocity for the segment BC in the bacterium's trajectory is 8.7 μm/s.
The y component of the velocity for the segment BC in the bacterium's trajectory is 8.7 μm/s, calculated by using the equation UBCy = UBCcos(θ).
learn more about velocity here
https://brainly.com/question/18084516
#SPJ4
The best measurements of the mass of the black hole at the galactic center come from (a) the orbits of stars in the galactic center. (b) the orbits of gas clouds in the galactic center. (c) the amount of radiation coming from the galactic center.
The orbits of stars at the galactic center provide the most accurate measurements of the black hole's mass.
The correct option is A.
What is meant by Galactic Center?The rotating and barycenter of the Milky Way galaxy is known as the Galactic Center or Galaxies Centre. Sagittarius A*, an compact radio source that lies almost perfectly in the galactic rotational center, is the galaxy's core massive object and is a supermassive black hole with a mass of roughly 4 million solar masses.
The Galactic Center is Earth?The Milky Way's Orion Arm, which is around two-thirds of the galaxy's distance from the galaxy's core, is where Earth is situated. The Solar System, which consists of eight planets, in addition to numerous comets, asteroids, and dwarf planets, is what we are a part of here.
To know more about Galactic Center visit:
https://brainly.com/question/9839210
#SPJ4
Wanda's Business Ownership Options
Wanda is currently the sole proprietor of Salty Pawz, a company that makes and sells
homemade dog treats. Wanda would like to grow her business, but she is concerned that she
might take on more financial and personal responsibility than she is comfortable with. Wanda
is also concerned about losing control of her company and having the product (and company
image) suffer.
Your task is to guide Wanda through her available options and help her find a way to grow
her business that addresses her concerns. Be sure to include the possibility of retaining sole
proprietorship.
Assignment Instructions: Click here to download Assignment Information
Limize File Preview
According to the benefits and drawbacks of each kind of financing listed below, taking out a loan is the most effective strategy for financing Wanda's company's development (e.g. 1 year).
What does ownership mean in its entirety?The act of having legal custody and control over anything, whether it be a material item or an intangible one, is known as ownership. Multiple rights that make up ownership, generally known as title, may be distinct and owned by various persons.
What is the most accurate way to define ownership?The right to use, own, and donate anything is known as ownership. Ownership can refer to physical items like real estate and personal property or it can refer to intangible things like intellectual property rights.
To know more about ownership visit:
https://brainly.com/question/14480423
#SPJ1
A 2 column table with 4 rows. The first column was labeled drink with entries hot chocolate, milk, juice, water. The second column is labeled temperature in degrees Celcius with entries 50, 35, 40, 15.
List these drinks in order of kinetic energy, starting with the drink whose particles have the highest kinetic energy.
hot chocolate, water, juice, milk
hot chocolate, juice, milk, water
water, milk, juice, hot chocolate
water, hot chocolate, juice, milk
List these drinks in order of kinetic energy, starting with the drink whose particles have the highest kinetic energy:
hot chocolate > juice > milk > water.
What is temperature?The average kinetic energy of the particles in an object is measured by its temperature. The velocity of these particles likewise increases as the temperature rises.
A thermometer or a calorimeter is used to determine the temperature. In other words, a system's internal energy is determined by its temperature.
Hence, the kinetic energy of molecules is proportional to temperature of the liquid. So, list these drinks in order of kinetic energy:
hot chocolate > juice > milk > water.
Learn more about temperature here:
https://brainly.com/question/11464844
#SPJ1
find the entropy change of the universe when 2 mol of water freezes at -10 ∘c.
The entropy change of the universe when 2 mol of water freezes at the temperature of -10°C is 0.2 J/Kmol
The amount of the water = 2 mol
The temperature of water = -10°C
The entropy change can be found using the formula,
S = Q/T
where S is the entropy
Q is the amount of water
T is the temperature
Entropy change is a phenomenon that measures changes in disorder or randomness in thermodynamic systems. It refers to converting heat or enthalpy into work. A highly random thermodynamic system implies high entropy.
Let us substitute the known values in the above equation, we get
S = 2 / -10
= -0.2 J/Kmol
Therefore, the entropy change of the universe is 0.2 J/Kmol
Learn more about the entropy in
https://brainly.com/question/13146879
#SPJ4
50 POINTS!!!
In the graph, which machine has the smallest mechanical advantage?
The mechanical advantage of an inclined plane increases with the length of the ramp, where we assume the height is constant. So, the correct option is D.
What is Mechanical advantage?Mechanical advantage is defined as the measure of force amplification achieved using a device, mechanical device, or machine system, where the device offsets input forces against movement to achieve a desired amplification in output force.
There are three types of mechanical advantage:
ForceDistance Speed.In the above given information, graph D has lowest inclined plane as compare to other graphs, so it has smallest mechanical advantage.
Therefore, the correct option is D.
Learn more about Mechanical advantage, here:
https://brainly.com/question/16617083?
#SPJ2
How many significant figures are in each number?
20.75g
3400ml
9.100g
(I really need a refresher on significant figures)
20.75g - 4 significant figures (The decimal point is included in the count, so the number of significant figures is the number of digits to the right of the decimal point plus one.)
What is significant figures?Significant figures are the digits in a number that are meaningful in terms of accuracy or precision. They are used to express the degree of precision of a measurement. Significant figures are important in scientific calculations because they indicate the precision of the measurement. For example, if a measurement is reported as 5.00, this indicates that the measurement is accurate to two decimal places. Significant figures are also used to express the precision of a calculation. For example, if a calculation is reported as 5.00, this indicates that the calculation is accurate to two decimal places.
3400ml - 4 significant figures (The decimal point is not included in the count, so the number of significant figures is the number of digits in the number.)
9.100g - 5 significant figures (The decimal point is included in the count, so the number of significant figures is the number of digits to the right of the decimal point plus one.)
To learn more about significant figures
https://brainly.com/question/24491627
#SPJ1
C/P: What kind of image is formed by the lenses of the glasses worn by a 68-year-old male who sees an object 2 m away?
Focal length of glasses worn (cm): -50
A) Real and enlarged
B) Real and reduced
C) Virtual and enlarged
D) Virtual and reduced
Option D is the correct answer. Virtual and reduced image is formed by the lenses of the glasses worn by a 68-year-old male who sees an object 2m away.
negative focal length = DIVERGING lenses thus it must always be virtual and reduced
Positive focal length = converging lens
Virtual images can be either upright or inverted. Virtual images can be magnified in size, reduced in size, or the same size as the object.
A pair of looking glasses is an optical instrument that helps a person with defective eyes to see an object as if it was being viewed with normal vision.
When a person is far-sighted, the looking glasses should have converging lenses. When a person is near-sighted, he or she should wear a pair of looking glasses fitted with diverging lenses.
To know more about Virtual and reduced:
https://brainly.com/question/15553241
#SPJ4
A radioactive substance has a half life of 20days.what faction of the original radioactive nuclei would remain after 80 days
The fraction of the radioactive nuclei that would remain after 80 days is 1/16.
What fraction of the radioactive nuclei would remain?The faction of the original radioactive nuclei that would remain after 80 days is calculated as follows;
0 day --------------------> N
20 days ----------------> N/2
40 days -----------------> N/4
60 days ------------------> N/8
80 days ------------------> N/16
Thus, the fraction of the radioactive nuclei that would remain after 80 days is a function of the half life and the initial mass of the nuclei.
Learn more about half life here: https://brainly.com/question/2320811
#SPJ1
The ΔH∘f of TiI3(s) is -328 kJ/mol and the ΔH∘ for the reaction 2Ti(s)+3I2(g)→2TiI3(s) is -839 kJ Calculate the ΔH of sublimation of I2(s), which is a solid at 25 ∘C.
The ΔH of sublimation of I2(s) is, ΔHsublimation is -366.3 kJ/mol.
To calculate the ΔH of sublimation of I2(s) we can use the following equation: ΔHsublimation = ΔHf (I2(s)) - ΔHf (I2(g))
We can use the information provided in the question to determine ΔHf (I2(s)) and ΔHf (I2(g)):
ΔHf (I2(s)) = -328 kJ/mol (ΔH∘f of TiI3(s)) + 2(-295.5 kJ/mol) (ΔHf of Ti(s))
ΔHf (I2(g)) = ΔHf (TiI3(s)) - 2 ΔHf (Ti(s)) - 3 ΔHf (I2(g))
The ΔHf of I2(g) is not given, so we can use the second equation to find it
-328 kJ/mol = -839 kJ/mol - 2(-295.5 kJ/mol) - 3 ΔHf (I2(g))
3 ΔHf (I2(g)) = -328 kJ/mol + 839 kJ/mol + 2(295.5 kJ/mol) = 212.5 kJ/mol
ΔHf (I2(g)) = 212.5 kJ/mol / 3 = 70.8 kJ/mol
Finally, the ΔH of sublimation of I2(s) is ΔHsublimation = -295.5 kJ/mol - 70.8 kJ/mol = -366.3 kJ/mol
Enthalpy of sublimation (ΔHsublimation):
ΔHsublimation is the heat absorbed or released when a substance changes from a solid to a gaseous state without passing through the liquid state.It is a measure of the strength of the forces holding the solid together and is usually expressed in units of energy per mole of a substance.The enthalpy of sublimation is typically a positive value, indicating that energy must be added to the substance to overcome the forces holding it in the solid state and causing it to sublimate.It is commonly used in thermodynamics and thermochemistry to calculate the energy changes in a chemical reaction.It is also a measure of the stability of a solid, the higher the enthalpy of sublimation the more stable the solid is.Learn more here:
https://brainly.com/question/11667877
#SPJ4
During a tug-of-war, team A does 2.20 105 J of work in pulling team B 8.00 m. What force was team A exerting?
According to the given statement 27500 N of force was team A exerting.
How many types are forces?Cohesive forces & act at such a distance forces are the two different types of forces. Your daily use of force is evident. Basically, push and pull are forces. You exert force on an item when you push against it or pull against it. Nuclear force, gravity force, kinetic friction, electrostatic flux, electromagnetic interaction, spring force, and others are a few examples of forces.
Since the definition of work is the result of force and displacement, we will have
W = F . d
so here we know that
W = 2.20 * 10⁵ J
also we know that
d = 8.00 m
now we will have
2.20 * 10⁵ J = F(8.00)
F = 2.20 * 10⁵ / 8
F = 27500 N
so, it will be under 27500 N of force.
To know more about Force visit:
brainly.com/question/13191643
#SPJ1
A cylinder with a 16-cm-diameter piston contains gas at a pressure of 3.0atm.
a) How much force does the gas exert on the piston?
b) How much force does the environment exert on the piston?
c) The gas expands at constant pressure and pushes the piston out 10cm. How much work is done by the environment?
d) How much work is done by the gas?
The force exerted on the piston is F = 6.11 × 10³N.
The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. In comparison to the surrounding pressure, gauge pressure is the pressure. The force that an object, fluid, etc., in contact with a surface exerts onto it is measured in a variety of units, such as the pressure of earth against a wall. Physics. force per square inch. pressure express
Given,
diameter = 16cm
= 0.16m
Pressure = 3 atm = 3 × 1.013 × 10⁵ Pa
= 3.039 × 10⁵ Pa
a) F = PA
⇒ F = P πr²
⇒ F = Pπ (d/2)²
⇒ F = 3.039 × 10⁵ Pa × 3.14 × (0.16/2)²
⇒ F = 6.11 × 10³N
To learn more about Pressure from given link
https://brainly.com/question/28012687
#SPJ4
A Rock is thrown Straight upward with an initial velocity of 24.5m/s where the downward acceleration due to gravity is 10.0 metre per second Square, What is the rocks displacement after 1.0 seconds
The rock was thrown upward with an initial velocity and it's displacement after one second is 19.5 m.
How does the second law of motion work?According to Newton's second law, an object's acceleration is determined by its mass and the net force that is acting on it. The body's acceleration is inversely related to its mass and directly proportional to the net force acting on it.
The displacement-time relation,
X(t) - x = vt -1/2 gt^2
X(t) = Position of object after time t
x = Initial position of object
v = Initial velocity = 24.5 m/s
g = Acceleration due to gravity = - 10.0 m/s2 (Downward)
t = time = 1 s
The displacement of rock after 1 s => X(t) - x => (24.5 x 1) - 1/2 ( 10 x 1 x 1)
=> 19.5 m
Learn more about displacement here:
brainly.com/question/11934397
#SPJ1
Suppose a camera's exposure is correct when the lens has a focal length of 8.0 mm.
Will the picture be overexposed, underexposed, or still correct if the focal length is "zoomed" to 16.0 mm without changing the diameter of the lens aperture?
a. overexposed
b. underexposed
c. still correct
Suppose a camera's exposure is correct when the lens has a focal length of 8.0 mm. The picture will be underexposed if the focal length is "zoomed" to 16.0 mm without changing the diameter of the lens aperture.
What does Focal length means?
Focal length is a measurement of a lens that determines how much of a scene is captured in the image. It is measured in millimeters and is calculated by the distance between the lens and the image sensor when the subject is in focus. The shorter the focal length, the wider the angle of view and the more of the scene that is captured.
What is lens aperture?
Lens aperture is the physical size of the opening in a lens that controls the amount of light that passes through the lens to the image sensor. Aperture is usually expressed in terms of f-numbers; the lower the f-number, the wider the aperture and the more light that is allowed to pass through the lens.The size of the aperture also affects the depth of field of an image, which is the range of distances within which objects appear to be in focus. A wider aperture (lower f-number) results in a shallow depth of field, while a narrower aperture (higher f-number) results in a greater depth of field.
Therfore the correct option is b. underexposed.
To know more about Focal Lenght,
https://brainly.com/question/1031772
#SPJ4
The figure above shows magnetic stripes on the ocean floor. This is a topic we will cover when we get to plate tectonics.
Using the figure, how fast in cm/y are points C and D spreading apart from each other. HINT: Both C and D started in the center. The total time is 3.0 million years.
The rate at which points C and D are spreading apart from each other is 10 cm / year
What is magnetic stripes on ocean floor?
The magnetic stripes on the ocean floor are created by reversals of the Earth's magnetic field during the continuous formation of ocean crust at the ridge.
Mathematically, the formula for the speed of two points on the magnetic stripe is given as;
V = L / T
where;
L is the length of the two points on the magnetic stripeT is the total time takenThe rate at which points C and D are spreading apart from each other is calculated as follows;
V = ( 30,000,000 cm ) / ( 3,000, 000 years )
V = 10 cm/y
Thus, the rate at which points C and D are spreading apart from each other is a function of the distance between points C and D, and the total time between the two points.
Learn more about magnetic stripe here: https://brainly.com/question/29791221
#SPJ1
Which one of the following impacts the vapor pressure of a pure substance below its boiling point?
A. surface area
B. temperature
C.external pressure
D. altitude
air pressure at sea level is equal to: (select all that apply)
A. 760 torr
B. 1 atmosphere
C. 101, 325 pascals
D. 2 bar
The right response is 1.01105 Pascal. At sea level, the standard pressure is 1013.25 millibars (mb) and hectopascals (hPa). With height, fewer molecules are present in the atmosphere.
Other units of measurement that are equivalent to the atmospheric pressure at sea level include 760 mm-Hg (or 760 torr), 29.92 in-Hg, 1.01325 bar, 14.696 psi, and 1013.25 millibars. The definition of normal sea-level pressure is 760 mm (29.92 inches) of mercury, 14.70 pounds per square inch, 1,013.25 millibars, one standard atmosphere, or 101.325 kilopascals. The Earth's mean sea-level atmospheric pressure is roughly equivalent to one atm, or one atmosphere, and is measured in the atm unit.
Learn more about pressure here-
https://brainly.com/question/24077755
#SPJ4
A light block of mass (m) and a heavy block of mass (M) are attached to the ends of a rope. A student holds the heavier block and lets the lighter block hang below it. Then she lets go. Air resistance can be neglected.
a. what is the tension in the rope while the blocks are falling, before either hits the ground?
b.would your answer be different if she had been holding the lighter block initially?
The tension in the rope while the blocks are falling, before either hits the ground is zero and it would be the same even if she had been holding the lighter block initially.
Given the mass of light block = m
The mass of heavy block = M
acceleration due to gravity = g
Let the tension in the rope be T
From Newtons second law of motion we know that F = ma where a is acceleration of the system.
In that situation, gravity is the sole external force that is important to us. Fnet = Fg = m(sys)a
The total mass of system = m+M. Then
(m+M)g = (m+M)a
Therefore, the blocks must be falling with the acceleration of free fall at a = g. Here, the lighter system is fastened to a heavy block. Gravity pulls it lower as it falls, so any strain would be upward.
Fnet = Fg - T = ma where m is the mass of the lighter block.
mg - T = ma. This is only accurate if T = 0. The string is therefore not under any tension.
Hence the tension will not change even if the order of blocks is reversed.
To learn more about tension click here https://brainly.com/question/11348644
#SPJ4