To determine the mass moment of inertia of the assembly about an axis perpendicular to the page and passing through point O, we need to use the formula: I = ∫(r²dm)
where I is the mass moment of inertia, r is the perpendicular distance from the axis of rotation to the element of mass, and dm is the mass element. In this case, we can consider each rod as a mass element with a length of 1 meter and a mass of 7 kg. Since the rods are slender, we can assume that they are concentrated at their centers of mass, which is at their midpoints. Therefore, we can divide the assembly into 2 halves, each consisting of 3 rods. The distance between the midpoint of each rod and point O is 0.5 meters. Using the formula, we can calculate the mass moment of inertia of each half: I₁ = ∫(r²dm) = 3(0.5)²(7) = 5.25 kgm², I₂ = ∫(r²dm) = 3(0.5)²(7) = 5.25 kgm². The total mass moment of inertia of the assembly is the sum of the mass moments of inertia of each half: I = I₁ + I₂ = 10.5 kgm². Therefore, the mass moment of inertia of the assembly about an axis perpendicular to the page and passing through point O is 10.5 kgm².
Learn more about inertia here :
https://brainly.com/question/3268780
#SPJ11
Bronco the skydiver, whose mass is 80 kg experiences 200 N of air resistance and gravity pulls on him with 800 N What is the acceleration of his fall?
Bronco the skydiver, whose mass is 80 kg experiences 200 N of air resistance and gravity pulls on him with 800 N. The acceleration of his fall 7.5 m/sec².
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
To find the acceleration,
F = mg
F = 80.(10)
F = 800 N
air resistance = 200 N
Net force = F - air resistance
= 800 - 200
= 600 N
600 = mass . acceleration
600 = 80 . acceleration
acceleration = 7.5 m/sec²
Bronco the skydiver, whose mass is 80 kg experiences 200 N of air resistance and gravity pulls on him with 800 N. The acceleration of his fall 7.5 m/sec².
To learn more about force refer to the link:
brainly.com/question/13191643
#SPJ2
Type the correct answer in the box. Use numerals instead of words. Frank has a sample of steel that weighs 80 grams. If the density of his sample of steel is 8 g/cm3, what is the sample's volume? The sample's volume is cm3.
Answer:
10cm^3
Explanation:
Given data
Mass of steel = 80grams
density of steel= 8 g/cm^3
We know that the formula for density is given as
density= mass/volume
make volume subject of formula
volume= mass/density
volume=80/8
volume= 10cm^3
Hence, the volume 10cm^3
3 Below, someone is trying to balance a plank with
stones. The plank has negligible weight.
a Calculate the moment of the 4 N force about O.
b Calculate the moment of the 6 N force about O.
- 2 m *
2 m-*
4 m
Р
1
4N
6N
Answer:
a. The moment of the 4 N force is 16 N·m clockwise
b. The moment of the 6 N force is 12 N·m anticlockwise
Explanation:
In the figure, we have;
The distance from the point 'O', to the 6 N force = 2 m
The position of the 6 N force relative to the point 'O' = To the left of 'O'
The distance from the point 'O', to the 4 N force = 4 m
The position of the 4 N force relative to the point 'O' = To the right of 'O'
a. The moment of a force about a point, M = The force, F × The perpendicular distance of the force from the point
a. The moment of the 4 N force = 4 N × 4 m = 16 N·m clockwise
b. The moment of the 6 N force = 6 N × 2 m = 12 N·m anticlockwise.
Acceleration is defined as
a.
a rate of displacement.
c.
the change in velocity.
b.
the rate of change of displacement.
d.
the rate of change of velocity.
(V) What are the objectives of the space mission?
Explanation:
I hope this helps, I got this from another person
in which parts of a plant would u expect phototropism to occur?
Answer:
chloroplasts
Explanation:
Most plant shoots exhibit positive phototropism, and rearrange their chloroplasts in the leaves to maximize photosynthetic energy and promote growth.
1. Regular reflection is the _______ reflection of light on a(n)______ surface
A.even, smooth
B.non or uneven, rough
C.semi-smooth, rough
D.uneven, rough
Answer:
A. Even, smooth
Explanation:
In regular reflection, light reflected from a smooth surface in a definite direction
Which electromagnetic wave can be used to treat cancer? Group of answer choices a.microwaves b.gamma waves c.infrared waves d.xray waves
Answer:
Radiation therapy uses high-energy particles or waves, such as x-rays, gamma rays, electron beams, or protons, to destroy or damage cancer cells.Hope that helps
find the value of x in this figure
Answer:
x=50
Explanation:
Answer:
vertically opposite angles are equal
Explanation:
so
2x+30=3x-20
2x-3x= -20-30
-1x= -50
so x is 50
as minus gets cancelled both sides.
HOPE IT HELPS YOU
PLS MARK ME BRAINLIEST
compare the liquid pressure at the surface of a swimming pool and the bottom of the swimming pool
Answer:
The pressure difference is equal to the product of density , height and g
Given that h is height difference between bottom and surface of a pool
P
b
−P
s
=dgh
Density d of water is 1
So we get P
b
−P
s
=gh
Therefore option A is correct
Explanation:
If a 2 kg ball is moving at 6 m/s to the right and then hits a wall and bounces back at - 4 m/s (left), what is the change in momentum (in kg*m/s)?
Answer:
Explanation:
Givens
delta mv = ?
m = 2 kg
vi = 6 m/s right is positive
vf = - 4 m/s left
Formula
delta mv = m (vf - vi)
Solution
delta mv = 2 * (-4 - 6)
delta mv = 2 * - 10
delta mv = - 20 kg m/s
is an increase in speed in a certain time .
a. Acceleration
b. ActionReaction Pairs
c. Force
d. Inertia
It's Acceleration
We can calculate the average speed by finding the total distance traveled divided by the elapsed time: Average speed=–s=Total distanceElapsed time. Average speed = s – = Total distance Elapsed time.
what is the area of a car that touches the road if the car's weight on that tire is 3072 N and the pressure exerted on the road is 48 pa
Answer:
Car's touch area = 64 m²
Explanation:
Given:
Weight of car = 3,072 N
Pressure = 48 pa
Find:
Car's touch area
Computation:
Area = Force / Pressure
Car's touch area = 3,072 / 48
Car's touch area = 64 m²
explain budding (8marks)
Answer: Budding is one of the methods of asexual reproduction in organisms.
Explanation:
The asexual reproduction is the process in which new organisms are produced from the parent organism without the formation of gametes. The budding is one of the methods of asexual reproduction in which from a mature organism a bud develops as an outgrowth. The bud obtains the nutrition from the parent organism and increase in size. On maturity the bud dissociate or detach from the parent organism and lives as separate individual organism. Budding can be seen in the case of Hydra, and Yeast.
Which of the following correctly lists the parts of the water cycle?
Question 7 options:
Evaporation, condensation, temperature, precipitation, collection
Condensation, build-up, runoff, precipitation, collection
Runoff, precipitation, evaporation, melting, condensation
Evaporation, condensation, precipitation, runoff, collection
evaporation, condensation, precipitation, runoff, collection
1. We expect a conductor to be a constant voltage throughout. The conductive surface (silver marks) is mostly a constant voltage, but sometimes you may observe a millivolts-ish difference between different points on it. What does this mean about said conductive surface?
Answer:
Answer is explained in the explanation section below.
Explanation:
If the conductor has developed the potential difference. It simply means it is charged.
A conductor can be charged in different scenarios, let's discuss some of it and try to deduce the appropriate meaning for this question.
A conductor can be charged due to ions or
A conductor can be charged if it come across any current carrying conductor, so as to gain induced emf.
So, In both of these case, both can be very reasons for its potential difference.
Anyone who answer will get brainlest
Answer:
D
Explanation:
work = Force x distance
work = 2000 x 2 = 4000
power = work÷ time
4000/.8 = 5000W
Answer:
The answer is D 5000w
Explanation:
work = Force x distance
work = 2000 x 2 = 4000
power = work÷ time
4000/.8 = 5000W
A turtle is walking across the garden at 2m/min.
How long will it take the turtle to travel 45 meters?
Answer:
22 mins and 30 seconds
Explanation:
2m in 1 min so:
45m in x mins Cross multiply
2x = 45
x = 45/2
x=22.5
Consider two equally charged objects separated by a short distance. According to Coulomb’s Law, how does doubling the charge on one object affect the electric force present between two charged objects
Question 4 options:
A. results in one-half of the original electric force
B. results in one-fourth of the original electric force
C. increases the electric force by a factor of four
D. double force by a factor of four
Answer:
Coulomb's Law states
F = K Q1 * Q2 / R^2 where K is the force constant
F2 / F1 = 2 Q1 * Q2 / (Q1 * Q2) = 2 where one of the charges is doubled
So the force will be doubled (D looks rather vague but it cannot be the other three)
When the distance between two charges decreases, the electric force.
Question 8 options:
A. Decrease
B. Only decreased if both charges are opposites
C. Increase
D. Only increase if both charges are positive
Answer:
Increase.
Explanation:
The force between two charges is given by :
[tex]F=\dfrac{kq_1q_2}{d^2}[/tex]
Where
k is electrostatic constant
d is the distance between two charges
The force is inversely proportional to the distance between charges. It means when the distance between two charges decreases, the electric force will increase. Hence, the correct option is (c) "increase".
12) Two-point charges each have a value of 3.0 C and 5.0 C and are separated by a distance of 6.0 m. What is the electric field at a point midway between the two charges?
Answer:
The electric field at a point midway between the two charges is 2 x 10⁹ N/C.
Explanation:
Given;
first point charge, Q₁ = 3.0 C
second point charge, Q₂ = 5.0 C
distance between the two point charges, R = 6.0 m
The mid-point between the two charges, r = R/2 = 3.0 m
3.0 C <-------------------->3.0m<----------------------->5.0 C
The forces are acting in opposite direction, the electric field strength of each charge is calculated as;
[tex]E_1 = \frac{kQ_1}{r^2} (-\bar x)\\\\E_1 = \frac{9\times 10^9 \times 3}{3^2}(-\bar x)[/tex]
[tex]E_2 = \frac{kQ_1}{r^2} (+\bar x)\\\\E_2 = \frac{9\times 10^9 \times 5}{3^2} (+\bar x)\\\\[/tex]
The net electric field is calculated as;
[tex]E_{net} = \frac{9\times 10^9 \times 5}{3^2} \ - \ \frac{9\times 10^9 \times 3}{3^2}\\\\E_{net} = \frac{9\times 10^9 }{3^2} (5-3)\\\\E_{net} = 2 \times 10^9 \ N/C[/tex]
Therefore, the electric field at a point midway between the two charges is 2 x 10⁹ N/C.
What is the plate tectonic theory? *
Answer:
Plate tectonics is a scientific theory describing the large-scale motion of seven large plates and the movements of a larger number of smaller plates of Earth's lithosphere, since tectonic processes began on Earth between 3.3 and 3.5 billion years ago
Identifique el tipo de variable para cada situación dada (cualitativa: nominal u ordinal) o (cuantitativa: continua o discreta)
For people who don't speak Spanish.
translation:
Identify the type of variable for each given situation (qualitative: nominal or ordinal) or (quantitative: continuous or discrete)
sorry though I cant answer your question.
Which scientific activities will Juno conduct on its trip to Jupiter? Check all that apply.
a. measuring the amount of water in Jupiter’s atmosphere
b. landing on the planet surface to collect rock samples
c. taking images of the planet using infrared cameras
d. taking chemical “fingerprints” of Jupiter’s gases
e. mapping Jupiter’s gravitational and magnetic field
f. transporting astronauts to the planet
Explanation:
Hope this helps,
Juno entered a polar orbit of Jupiter on July 5th 2016 UTC, to begin a scientific investigation of the planet. After completing its mission, Juno will be intentionally deorbited into Jupiters atmosphere. Junos mission is to measure Jupiters composition, gravitational field, magnetic field, and polar magnetosphere.
Answer:
1
3
4
5
or
a
c
d
e
Explanation:
plzzzzzzz help i need it
Answer:
1 diagram is a single element
2 diagram is a single compound
3 diagram is a mixture of element and compounds
DEFINE KINETIC ENERGY AND PATAINTIA ENERGY please
Answer:
1. Kinetic energy is the energy possessed by a body due to its motion. Potential energy is the energy possessed by a body due to its position or state. Kinetic energy can be transferred from one object to another, in case of collisions. Potential energy cannot be transferred. Thus, the potential energy is stored in the object due to its position, whereas the kinetic energy is possessed by an object due to motion.
Eg: A ball kept on the edge of the table possesses potential energy due to its height, whereas a ball falling down from the table will possess kinetic energy due to its motion.
2. The formula for Kinetic energy is as below: This means that kinetic energy is directly proportional to mass as well as velocity. But it is proportional to 1 unit of mass and a square of velocity. Hence, velocity has a greater effect on kinetic energy.…show more content…
3. The equation for kinetic energy is: .
Let’s calculate the kinetic energy of a 40 kg object traveling 15 m/s.
Solution: mass= 40kg, velocity= 15 m/s, so putting these numbers into the kinetic energy equation,
Now, let’s calculate the kinetic energy of a 40 kg object traveling 30 m/s.
Solution: mass= 40kg, velocity= 30 m/s, so putting these numbers into the kinetic energy equation, Thus, when we double the velocity of an object, its kinetic energy increases by four times. Hence the velocity of an object has more impact on kinetic energy than the mass of an object.
Explanation:
What are the three physical things that can reduce the chances of injury while catching a fastball.
Answer:
Breaking bones, injuring tendons, bruising
Explanation:
An experiment is designed to test what color of light will activate a photoelectric cell the best. The photocell is set in a circuit that "clicks" in response to current. The faster the current, the more clicks per minute. In this experiment, the number of clicks in one minute is recorded for each color of light shining on the photocell. To change the color of light, a different color of cellophane is placed over the same flashlight and the flashlight is then located a specific distance from the photocell.
Which of the following was not kept constant?
the color of the light after it has passed through the cellophane
the source of the original light
the distance of the light from the photocell
the test for photocell activation
Answer:
the color of the light after it has passed through the cellophane
Explanation:
Since in the given experiment, there is an impact of various colors of light on the cell i.e. photoelectric that should be measured. The photocell should be placed in a circuit when the current would passed. For every color that falls on the photocell, the value of the current that passed via the cell represent an idea.
In the given situation the color of light shows an independent variable and the dependent variable is clicks per minute or the current that passed through the cell
Answer:
A-the color of the light after it has passed through the cellophane
Explanation:
According to Newton's second law equation, what is the relationship between net force applied and the acceleration of the object
Acceleration is inversely proportional to the net force
if acceleration goes up forces goes down
if acceleration goes down mass goes down
Acceleration is directly proportional to the net force
Answer:
Acceleration is directly proportional to the net force
Explanation:
The net force acting on an object is given by :
F = ma
Where
m is mass
and
a is acceleration
It can be seen that the relation between the net force and the acceleration is direct i.e. as the acceleration increases, the net force will increase. Hence, the correct option is (d).
How do you know that Earth is affected by the gravitational pull of the sun ? Explain how you would be affected if you were able to safely move farther and farther away from Earth . Support your ideas
Answer:
The Sun's gravity pulls on the planets, just as Earth's gravity pulls down anything that is not held up by some other force and keeps you and me on the ground.
Explanation: Newton realized that the reason the planets orbit the Sun is related to why objects fall to Earth when we drop them. I am so sorry if I get this wrong, I'm in 5th grade! ♥
The Sun provides rotational motion to Earth by gravitational pull and if we get farther and farther, we will experience decreased gravitational force.
The Earth is continuously orbiting around the Sun, that is why we are experiencing the day and night everyday. And this orbiting is caused by the gravitational full by Sun on Earth, which is given as,
[tex]F = \dfrac{G \times M \times M'}{R^{2}}[/tex]
Here, G is the universal gravitational constant, M is the mass of Earth and M' is the mass of Sun. And R is the distance between the Earth and Sun.
If we suppose to move farther and farther away from the Earth then the strength of gravitational pull by Earth will decrease with the increasing distance. Because the gravitational pull is inversely proportional to square of distance.
Thus, we can conclude that the Sun provides rotational motion to Earth by gravitational pull and if we get farther and farther, we will experience decreased gravitational force.
Learn more about the gravitational force here:
https://brainly.com/question/12528243