Two identical objects, A and B move along straight, parallel, horizontal tracks. The graph above represents the velocity as a function of time for the two objects.
(a) Indicate which of the two objects, if either, has a decreasing speed during the time interval shown. If neither object has a decreasing speed, indicate this explicitly. Briefly explain your answer.
(b) Indicate at approximately which time or times, if any, the objects are moving at the same speed. If the objects are never moving with the same speed during the interval shown, indicate this explicitly. Briefly explain your answer.
(c) For which object, if either, is the magnitude of the net work done on it greater for the time interval shown? If the net work has the same magnitude for both objects, indicate this explicitly.
(d) In a clear, coherent paragraph-length response, explain your response to part (c).
Answers
(a) According to the graph, neither object A nor object B has a decreasing speed during the time interval shown. This can be inferred from the graph, as the slope of the line representing the velocity of both objects is always positive (going upwards) and never negative (going downwards).
(b) According to the graph, the objects are never moving at the same speed during the time interval shown. This can be inferred from the graph, as the lines representing the velocity of the two objects never intersect, indicating that they are never at the same point on the graph at the same time.
(c) According to the graph, the magnitude of the net work done on object A is greater than that on object B for the time interval shown. This can be inferred from the graph, as the area under the line representing the velocity of object A is greater than that of object B.
(d) The net work done on an object is equal to the force applied to the object multiplied by the distance it moves in the direction of the force. From the graph, it can be seen that object A has a greater velocity than object B for the entire time interval shown, which means that it covers a greater distance in the same amount of time, and therefore the net work done on object A is greater than that on object B. This can be seen by the area under the velocity graph, the area under the graph of object A is greater than that of object B. This means that the force applied to object A is greater than that applied to object B, and that the net work done on object A is greater than that on object B.
How to calculate speed in physics?In physics, velocity is the rate of change of an object's position with respect to time. To calculate velocity, you need to know the initial position of the object, the final position of the object, and the time it took for the object to move from the initial position to the final position. Once you have this information, you can use the following formula to calculate velocity:
Velocity = (Final position - Initial position) / Time
The unit of velocity is typically meters per second (m/s) or kilometers per hour (km/h).
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Related Questions
Some fish have a density slightly less than that of water and must exert a force (swim) to stay submerged. What force must an 85.0-kg grouper exert to stay submerged in salt water if its body density is
Answers
The force require to keep grouper submerged is 8.207N.
According to Archimedes principle buoyant force of any object must equal to weight of fluid it displaced.
The expression for the force exerted to stay submerged in salt water is
F = F(b) - w(fish)
where F(b) = buoyant force
w(fish) = weight
now substitute w(b) for F(b)
→ F = Vρg - w(fish)
where V = volume of sea water
ρ = density of sea water
Now by Archimedes principle V = m(fish) / ρ(fish)
→ F = (m(fish) / ρ (fish) ) ρg - m(fish)g
F = (85 kg/1015 kg-m^-3) (1.025× 10³ kg-m^-3) (9.8 m/s^2)
- (85kg) × 9.8 m/s^2
F = 841.207N - 833N
F = 8.207 N
Hence, the force require to keep grouper submerged is 8.207N.
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A car approaches a stationary police car at 36 m/s. The frequency of the siren (as heard in the police car) is 500 Hz. What is the frequency (in Hz) heard by an observer in the moving car as he approaches the police car
Answers
The frequency heard by an observer in the moving car as he approaches the police car is 558.6 Hz.
Frequency hear by the observerThe frequency heard by the observer is calculated by applying the principle of Doppler effect.
f₀ = f'[(v/v - vs)]
where;
f₀ is the observed frequencyv is speed of sound = 343 m/svs is the speed of the sourcef₀ = 500[(343 / 343 - 36)]
f₀ = 500(343/307)
f₀ = 558.6 Hz
Thus, the frequency heard by an observer in the moving car as he approaches the police car is 558.6 Hz.
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The amount of excess load that can be imposed on the wing of an airplane depends upon the:.
Answers
The amount of excess load that can be imposed on the wing of an airplane depends upon the speed of the airplane.
What is meant by wing loading?
Wing loading in aerodynamics is the ratio of the loaded weight of the aircraft and the area of each wing. It is given as:
W_L = W (weight of the aircraft) / S (gross wing area of the airplane)
The more speed an aircraft gains, the more lift is produced by each unit of wing area.
Thus, with a high value of wing loading the aircraft lands and takes-off at higher speeds with low maneuvering control. Generally, Airliners have high wing loading while smaller airplanes have lower wing loading.
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When a 3.0 N weight is attached to a vertical coil spring, it stretches 5.0 cm. What weight would be required to stretch the spring 12.5 cm?
Group of answer choices
a. 7.5 N
b. 15 N
c. 4.5 N
d. 1.2 N
Answers
The weight required to stretch the spring 12.5 cm is 7.5 N (Option A)
Data obtained from the questionInitial weight (W₁) = 3 N Initial Length (L₁) = 5 cmNew length (L₂) = 12.5 cmNew Weight (W₂) =? How to determine the new weightThe new weight required to stretch the spring can be obtained as follow:
W₁ / L₁ = W₂ / L₂
3 / 5 = W₂ / 12.5
Cross multiply
W₂ × 5 = 3 × 12.5
Divide both sides by 5
W₂ = (3 × 12.5) / 5
W₂ = 7.5 N
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If a car increases its velocity from zero to 60 km/h in 10 seconds, its acceleration is______.
Answers
Answer:
1.66m/s
Explanation:
here
initial velocity(u): 0m/s
final velocity (v):60km= 60×1000/60×60
:16.6m/s
time taken(t): 10s
now
acceleration:v-u/t
or a: 16.6-0/10
:16.6/10
acceleration: 1.66 m/s
In physics, acceleration is the rate at which the velocity of an object changes in relation to time. The sum of all forces exerted on an object results in its acceleration. The acceleration is 1.66 m/s².
The rate at which velocity, either in terms of speed or direction or both, varies over time is known as acceleration. A circle's motion accelerates despite its constant speed because its direction is continually shifting.
Here
initial velocity(u) = 0m/s
final velocity (v) = 60km
v = 60 × 1000 / 60 × 60
v = 16.6 m/s
Time taken(t) = 10s
Now.
acceleration = v-u / t
a = 16.6-0/10
a = 16.6/10
a = 1.66 m/s²
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The lion has a kinetic energy of 5000 j. What is the speed of the lion?
Answers
The lion has a kinetic energy of 5000 j, the speed of the lion is v = 100 / [tex]\sqrt{M1}[/tex] m/s
What is kinetic energy ?Kinetic energy is a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy or Kinetic energy is the energy that an object possesses due to its motion. It is basically the energy of mass in motion. Kinetic energy can never be negative and it is a scalar quantity i.e. it provides only the magnitude and not the direction.
given
kinetic energy = 5000 J
speed = ?
since , mass is not given in the question
Let mass of lion will be = M1
kinetic energy = 1/2 * M1 * [tex]v^{2}[/tex]
5000 J = 1/2 * M1 * [tex]v^{2}[/tex]
[tex]v^{2}[/tex] = [tex]\sqrt{10,000 / M1}[/tex] m/s
v = 100 / [tex]\sqrt{M1}[/tex] m/s
The speed of the lion = v = 100 / [tex]\sqrt{M1}[/tex] m/s
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Normal human body temperature is 98.6°F. What is this temperature expressed in Celsius (°C) and in Kelvin (K)?
Answers
Answer: 37 Celsius and 310.15 K
Explanation:
C/5 = (F-32)/9 = (98.6-32)/9 = 66.6/9 = 7.4
C = 7.4 * 5 = 37 so the temperature is 37 Celsius
K = C + 273.15 = 37 + 273.15 = 310.15 K
Consider the function e(h) = ε h h 2 6 m where m is a bound for the third derivative of a function. Show that e(h) has a minimum at p3 3ε/m
Answers
Since , e"(h) = M >0
hence , At p3 3ε/M function e(h) has a minimum of function.
In mathematics, point at which the value of a function is less than or equal to the value at any nearby point (local minimum) or at any point (absolute minimum) or the minimum value of a function is the lowest point of a vertex
e(h) = ∈ /h +( [tex]h^{2}[/tex]/6) M
e'(h) = - ∈ /[tex]h^{2}[/tex] + (2h/6) M
putting , e'(h) = 0
- ∈ /[tex]h^{2}[/tex] + (2h/6) M = 0
h = [tex](3 /M)^{1/3}[/tex] * (∈^(1/3))
e"(h) = 2∈ / [tex]h^{3}[/tex] + (2M)/6 equation 1
substituting value of h in equation 1, we get
e"(h) = 2∈M / 3∈ + M/3
e"(h) = M >0
hence , At p3 3ε/M function e(h) has a minimum
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A proton exits the cyclotron 1. 0 ms after starting its spiral trajectory in the center of the cyclotron. How many orbits does the proton complete during this 1. 0 ms ?.
Answers
(a) The diameter of the largest orbit just before the protons exit the cyclotron is 39 cm.
(b) The number of orbits completed by the proton during this 1.0 ms is 14000 revolutions.
What is kinetic energy?
The kinetic energy of an object is the energy that it possesses due to its motion.
It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
Formula of KE:
K.E = 1/2mv²
mv² = 2 K.E
v = sqrt( 2*KE / M)
Here,
(a)
The KE of the medical isotopes = 6.5 MeV
substituting the values,
v = sqrt( 2* 6.5* 1.6* 10^-13 / 1.67* 10^-27 )
v = 3.53 × 10⁷ m/s
Now the centripetal force:
mv² / R = qvB
r = q*v / mv²
r = ( 1.67* 10^-27 * 3.53 × 10⁷ ) / ( 1.9* 1.6* 10^-19 )
r = 0.19415 m
diameter d = 2r,
d= 2(0.19415 m)
d= 0.39 m ≅ 39 cm
(b)
The time period to complete a revolution around the spiral trajectory is:
T = 2πr / v
T = 2*3.14* 0.1941 / 3.53*10^7
T = 0.7 × 10⁻⁷ s
Thus, the number of orbits that the proton does to complete the revolution in 1 ms is:
n = t / T
n = 10^-3 / (0.7*10^-7)
n = 14285.71 ≅ 14000 revolutions
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Your question is incomplete, but most probably full question was:
A medical cyclotron used in the production of medical isotopes accelerates protons to 6.5 MeV. The magnetic field in the cyclotron is 1.9 T.
(a) What is the diameter of the largest orbit, just before the protons exit the cyclotron? Express your answer with the appropriate units. d = 57 cm Previous
(b) A proton exits the cyclotron 1.0 ms after starting its spiral trajectory in the center of the cyclotron. How many orbits does the proton complete during this 1.0 ms?
In order to use the efficiency of a car engine in an optimal way, a maximum engine speed of .........rpm for shifting is recommended for gas engines.
Answers
In order to use the efficiency of a car engine in an optimal way, a maximum engine speed of 2,500 rpm for shifting is recommended for gas engines.
The maximum thermal efficiency of modern gasoline engines is over 50%, but legal cars on the road are only about 20% to 35% when used to power cars.
Unfortunately, even with regular car maintenance such as tuning and oil changes, the efficiency of today's gasoline engines is about 30-35%. In other words, about 65 cents per dollar spent on gasoline is wasted.
EPA's 2020 Automotive Trend Report preliminary data shows that the average fuel economy of 2020 model light trucks has increased to 25.7 miles per gallon (MPG). If this preliminary data holds, it will mark the highest average fuel economy ever for a new light commercial vehicle.
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What is the acceleration of a 2-kg mass if a 100-N force acts on it?
Answers
SOLUTION:
Acceleration = Force/mass
= 100N / 2 kgs
= 50 m/s
.
.
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an ambulance with a siren emitting a whine at 1600Hz overtakes and passes a cyclist pedaling a bike at 2.44 m/s. After being passed the cyclist hears a frequency of 1590 Hz. How fast was ambulance moving
Answers
The speed of the ambulance is 4.61 m/s.
Calculation:Doppler's effect formula is used, which is
[tex]f' = f (\frac{v + vo}{v + vs})[/tex]
Where,
f' = observer frequency of sound
f = actual frequency of sound waves
v = speed of sound waves
vo = velocity of observer
vs = velocity of source
Here, observer is the cyclist and source is the ambulance.
Given,
f' = 1590 Hz
f = 1600 Hz
v = 343 m/s
vo = 2.44 m/s
Now put the given values in the above formula,
[tex]f' = f (\frac{v + vo}{v + vs})[/tex]
[tex]1590 = 1600 (\frac{343 + 2.44}{343 + vs})[/tex]
[tex]1590 = 1600( \frac{345.44}{343 + vs})[/tex]
[tex]1590 = \frac{552,704}{343+vs}[/tex]
[tex]343+vs = \frac{552,704}{1590\\}[/tex]
[tex]343 + vs = 347.61\\[/tex]
[tex]vs = 347.61 - 343[/tex]
[tex]vs = 4.61 m/s[/tex]
Hence, the speed of the ambulance is 4.61 m/s.
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An object at rest has no ________ energy, but it may have ________ energy resulting from its location or structure. An object at rest has no ________ energy, but it may have ________ energy resulting from its location or structure. chemical; potential kinetic; potential kinetic; heat potential; kinetic
Answers
Answer: An object at rest has no kinetic energy, but it may have potential energy resulting from its location or structure.
Explanation: To find the answer, we need to know more about the kinetic and potential energies.
What is kinetic energy of a body?Kinetic energy is a form of mechanical energy possessed by a body by virtue of its motion.Kinetic energy of a body of mass m moving with a velocity v is given by,[tex]KE=\frac{1}{2}mv^2[/tex]
What is potential energy?Potential energy is a form of mechanical energy possessed by a body by virtue of its position in the field or configuration.PE is always associated with a conservative force.There cannot be potential energy due to frictional or viscous forces.Thus, we can conclude that, an object at rest has no kinetic energy, but it may have potential energy resulting from its location or structure.
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Which requires more work, increasing a car's speed from 0 mph to 30 mph or from 50 mph to 60 mph?
Answers
Increasing a car's speed from 0 mph to 30 mph requires more work than that of 50 mph to 60 mph.
What is work?Work is a measure of energy expended in moving an object. It is calculated by multiplying the force by the distance.
According to this question, work is required to move a car from one position to another.
The distance moved from 0 - 30mph is more than that moved from 50 - 60mph, therefore, increasing a car's speed from 0 mph to 30 mph requires more work than that of 50 mph to 60 mph.
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What would be the wavelength of the 21-cm-line if it was coming from a distance of 8,000,000,000 (8*10^9) light-years
Answers
21 cm is the wavelength of the 21-cm-line if it was coming from a distance of 8,000,000,000 (8*10^9) light-years
Only when relative velocity changes do wavelength alter. Thus, the wavelength will not change. A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in consecutive cycles.
This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm). The relationship between frequency and wavelength is inversely proportional. The wavelength of the wave with the highest frequency is the shortest. Half the wavelength corresponds to twice the frequency. The wavelength in the red spectrum is the longest.
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2) Which pattern of organization did Alicia choose for her speech outline?
Answers
The pattern of organization Alicia chose for her speech outline is referred to as topical.
What is Topical pattern of organization?
This type of organization involves the arrangement of subtopics within a large or broad topic.
Alicia talked about speech pathology and the different subtopics include challenges, therapy etc which depicts topical pattern.
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Two men standing on the same side of wall and at the same distance from It, such that they are 4oom apart when one fires a gun the other hears the first report in 1.2s and the second in 0.5s after the first. calculate 1) Velocity of sound in air . 2)the perpendicular distance of the men from the wall.
Answers
Answer:
1. 571.43m/s
2. 142.9m and 342.9m
Explanation:
1.Take the difference in time.
1.2-0.7=0.7 seconds
Take the distance between them and divide with differnce in time.
400÷0.7=571.43 seconds.
2.Take the time of the two men and divide by two.
0.5÷2= 0.25 secs
1.2÷2= 0.6 secs
multiply each with the velocity.
0.25×571.43=142.9m
0.6×571.43=342.9m
An electric heater,rated 15 volts 40 watts fitted into a metal block supplies heat to the block of mass 1.5kg and specific heat capacity of 460. calculate the temperature rise of in the block if the current flows for 10 minutes
Answers
The temperature rises of in the block if the current flows for 10 minutes is, 34.78K.
To find the answer, we need to know about the power of the electric heater.
How to find the temperature rise of in the block if the current flows for 10 minutes?We have given with the variables,[tex]P=40 W\\m=1.5kg\\S=460\\t=10minutes=10*60s=600s[/tex]
We have an expression the heat given to the system as,[tex]P*t= mS[/tex]ΔT
We have to find the temperature rise ΔT,ΔT [tex]=\frac{P*t}{mS} =\frac{40*600}{1.5*460} =34.78K[/tex]
Thus, we can conclude that, the temperature rises in the block if the current flows for 10 minute is 34.78K.
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If the current flows for 10 minutes, the temperature in the block rises by 34.78 K.
We must understand the electric heater's power in order to determine the solution.
How can you determine the block's temperature increase if the current flows for ten minutes?With the variables that we have provided,[tex]P=40Watts\\m=1.5kg\\s=460\\t=10 min=600s[/tex]
The heat supplied to the system is referred to as,[tex]Pt=ms[/tex]ΔT
We must determine the increase in temperature, T.
ΔT[tex]=\frac{Pt}{ms} =34.78 K[/tex]
Thus, we can infer that if the current flows for 10 minutes at 34.78K, the temperature in the block will increase.
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The innermost satellite of jupiter orbits the planet with a radius of 422 × 103 km and a period of 1.77 days. what is the mass of jupiter? (g = 6.67 × 10-11 n ∙ m2/kg2)?
Answers
The mass of Jupitar is obtained from the calculations as 5.8 * 10^-14 Kg.
What is the mass of Jupitar?There are nine planets in the solar system and the sun lies at the enter of our solar system. This is the heliocentric model of the solar system.
Given that;
T^2 = GMr^3/4π
T = period
G = gravitational constant
r = radius
M = mass of Jupitar
Now;
1 day = 86400 seconds
1.77 days = 1.77 days * 86400 seconds/1 day
= 152928 seconds
Making M the subject of the formula;
M =4πT^2/Gr^3
M = 4 * 3.142 * (152928)^2/6.67 × 10^-11 * (422 × 10^9)^3
M = 2.9 * 10^11/5.0 * 10^24
M = 5.8 * 10^-14 Kg
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Consider two copper wires. one has twice the length and twice the cross-sectional area of the other. how do the resistances of these two wires compare?
Answers
Answer:
R = ρ L / A where R is the resistance and ρ the resistivity:
R2 / R1 = (L2 / A2) / (L1 / A1) = L2 * A1 / (L1 * A2)
R2 / R1 = (2 L * A) / (L * 2 A) = 1
Their resistances should be the same.
Complete the following nuclear reaction:
Answer choice
a) γ
b) α
c) β–
d) p
Answers
The particle that was given off in the reaction beta rays is β–. Option C
What is a nuclear reaction?A nuclear reaction will involve the change in the nucleus of an atom. It often leads to the production of new nucleus. As we can see the equation, there was a transformation from nitrogen nucleus to oxygen atom.
Thus, the particle that was given off in the reaction beta rays is β–. The fact that the mass number remained the same but the atomic number increased by one unit from left to right implies that a beta decay has occurred.
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If a truck in front of your car begins to turn left, but its right turn signals are flashing, it is most likely that the truck driver __________________.
Answers
If a truck in front of your car begins to turn left, but its right turn signals are flashing, it is most likely that the truck driver is making a mistake or he is not conscious of his driving
What is traffic light?Traffic light can simply be defined as a set of automatically operated coloured lights such as red, amber, and green, for controlling traffic at road junctions, pedestrian crossings and roundabouts.
Below are the meaning of some traffic light colours:
Red means stop or dangerGreen means go. I.e it is safe to proceedYellow means move with caution or get ready to stopSo therefore, if a truck in front of your car begins to turn left, but its right turn signals are flashing, it is most likely that the truck driver is making a mistake
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Color is a result of the absorption and reflection of light. A shirt appears a color because it reflects that color of light. A shirt appears black when it absorbs all wavelengths of light. Why does a shirt appear white outside on a sunny day
Answers
The clothing seems white because the entire light is reflected.
what is absorption and reflection?Absorption:
This occurs when light is transformed into another type of energy. This happens when light vanishes while travelling through another medium.
reflection:
It is referred to as light reflection when a light ray hits a polished, smooth surface and bounces back. The incident light rays hit the surface and are reflected off of it. The beam that returns is referred to as the reflected ray.
according to the question we know that a shirt appears a color because it reflects that color of light. A shirt appears black when it absorbs all wavelengths of light. In case of white shirt no wavelength is absorbed by the shirt due to which the shirt appears white and in simple words the entire light is reflected back.
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(a) A certain parallel-plate capacitor has plates of area 4.00m2 , separated by 0.0100 mm of nylon, and stores 0.170 C of charge. What is the applied voltage
Answers
The applied voltage is 1.41* 10⁴ kV.
Calculation of applied voltage-
The capacitance of parallel plates in the absence of a dielectric is:
C = ∈₀A/d
where, "d" = the spacing between the plates = 0.01 * 10⁻³ m
"A" = the area of the plates = 4 m²
"∈₀" = the constant = 8.85419*10⁻¹² C²/Nm²
So, C₀ = [tex]\frac{8.85419*10^{-12}*4 }{0.0100*10^{-3} }[/tex]
= 3541.67 *10⁻⁹ F
The dielectric constant, κ= 3.4, is defined as:
κ = C/C₀
The effective capacitance (with the dielectric) is denoted by "C", whereas the original capacitance is denoted by "C₀". (without the dielectric).
As a result, the new capacitance is:
C = κC₀
However, capacitance is connected to a voltage by:
C = Q/V
utilizing the increased capacitance and accounting for "V":
κC₀ = Q/V
V = Q/κC₀ = [tex]\frac{0.170}{3.4 * 3541.67 *10^{-9} }[/tex] = 1.41* 10⁴ kV
Therefore the applied voltage is 1.41* 10⁴ kV.
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useful and inconvenience of frictional force of a soccor player running with soccer boots
Answers
They are useful in providing larger frictional force.
The force produced by two surfaces coming into contact and sliding against one another is referred to as frictional force.
The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest impact on these forces.
Football shoes have spikes or studs because they offer more frictional force when running on grass than regular shoes do.
The studs make it easier for players to move faster and change directions rapidly without slipping while also preventing them from slipping on the grass.
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Two large parallel conducting plates are 9.0 cm apart and carry equal but opposite charges on their facing surfaces. The magnitude of the surface charge density on either of the facing surfaces is 3.7 nC/m 2. Determine the magnitude of the electric potential difference between the plates.
Answers
The magnitude of the electric potential difference between the plates is 37.63 V.
Given:
Distance between the plates, d = 9 cm
Surface charge density, ρ = 3.7 nC/m² = 3.7 × 10⁻⁹ C/m²
Calculation:
For two parallel plate conductors, the electric field is given as:
E = ρ/ε₀
where ρ is the charge density
ε₀ is the permeability of free space
Applying values in the above equation we get:
E = ( 3.7 × 10⁻⁹ C/m²)/(8.85 × 10⁻¹² C²/m)
= 418.08 V/m
Now, the potential difference between the plates separated by a distance 'd' is given as:
ΔV = Ed
where E is the electric field
d is the distance of separation between the plates
Applying values in the above equation we get:
ΔV = (418.08 V/m) × (0.09 m)
= 37.63 V
Therefore, the magnitude of the electric potential difference between the plates is 37.63 V.
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In the pinball game, momentum is transferred from the plunger to the ___
Answers
In the pinball game, momentum is transferred from the plunger to the ball.
What is momentum?
Momentum is the quantity of motion of a moving body, measured as a product of its mass and velocity.
The formula of the momentum is: p = m*v
Here a pinball game machine is given.
We know that,
A plunger in a pinball is a spring loaded rod used to shoot the ball out into the playing field.When the plunger tugged all the way back and released, the plunger will send the ball flying around the playfield. so here elastic potential energy is converted to kinetic energy.That is how the momentum is transferred to the pinball from the plunger.Hence,
In the pinball game, momentum is transferred from the plunger to the ball.
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Question :
Which of the following has more inertia(mass)
(a) a rubber ball and a stone of the same size?
(b) a bicycle and a train?
(c) a five-rupees coin and a one-rupee coin?
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Answers
A rubber ball and a stone of the same size are examples which will have more inertia and is therefore denoted as option A.
What is Inertia?This is referred to as the property exhibited by a body in which it has the tendency to remain at rest or in uniform motion.This property is dependent on the mass of the substance as we can deduce that the greater the mass, the greater the inertia and vice versa.
The size of a rubber ball and stone will have different masses in which that of the stone will be greater. This is as a result of the difference in the nature of the substances which are used to make both items mentioned above.
This is therefore the reason why a rubber ball and a stone of the same size as having more inertia(mass) where chosen as the most appropriate choice in this scenario.
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Two objects X and Y move directly towards each other. The objects have the same mass.
Object X has a velocity of 5.0 m/s to the right. Object Y has a velocity of 3.0 m/s to the left.
Object X and object Y collide and stick together.
What is their velocity after colliding?
Answers
X and Y are two things that travel in the same direction. The mass of the things is the same. 5.0 m/s is the velocity of object x as it moves to the right. The velocity of object y to the left is 3.0 m/s. Objects x and y collide and adhere to one another. Following their collision, they both move at a speed of 1.0 m/s to the right.
Their velocity after colliding is 1.0 m / s to the right.
What is the velocity during the collision?
In a collision, the velocity change is always computed by subtracting the initial value from the final value. If an object is moving in one direction before a collision and rebounds or somehow changes direction, then its velocity after the collision has the opposite direction as before.Inelastic collisions occur when only the momentum is conserved but not the system's kinetic energy. Perfectly inelastic collisions happen when objects stick together and have a common velocity after collision. To solve for the final velocity in perfectly inelastic collisions, use v' = (m1v1 + m2v2)/m1 + m2.The magnitude of the relative velocity is the same before and after the collision.To learn more about velocity, refer to:
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On what does the magnitude of an applied torque depend?
Answers
Answer:
See below
Explanation:
The force applied and the length of the arm
The magnitude of an applied torque depend on force vector, 'θ' is the angle between r and F, and the distance vector.
What is torque?
The force that can cause an object to rotate along an axis is measured as torque. Similar to how force accelerates an item in linear kinematics, torque accelerates an object in an angular direction. A vector quantity is a torque.
Torque is defined as Γ=r×F=rFsin(θ). In other words, torque is the cross product of the force vector, where 'θ' is the angle between r and F, and the distance vector (the distance between the pivot point and the place where force is applied).
The magnitude of an applied torque depend on force vector, 'θ' is the angle between r and F, and the distance vector.
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