Work done by gravity on a object on an inclined plane

In summary, the crate is pulled up a 8 meter incline with a force of 121 N and a coefficient of kinetic friction of 0.31. The crate's acceleration due to gravity is 9.81 m/s^2. The work done by Earth's gravity is 154.1898119N*m. The crate's speed after it is pulled is 9.81 m/s.
  • #1
hyuen9195
5
0

Homework Statement


A 11.0 kg crate is pulled up a rough incline with an initial speed of 1.3 m/s. The pulling
force is 121.0 N parallel to the incline, which makes an angle of 12.6◦ with the horizontal.
The coefficient of kinetic friction is 0.31 and the crate is pulled a distance of 8.0 m.
The acceleration of gravity is 9.81 m/s^2 .

Homework Equations


a) Find the work done by Earth’s gravity
on the crate. Answer in units of J.

The Attempt at a Solution


Fnormal=m*g*costheta
Fnormal=105.3111778N
Fnormal* coefficient of friction=Ffriction
Ffriction=32.64646511N
Fapplied-Ffriction=Fnet
Fnet=88.35353489N
Work=N*m
Work=706.8282791N*m
-(Work*sin12.6)=W done by gravity
Work done by gravity is 154.1898119N*m
I think I did it right, but the computer marked me wrong. Can anyone explained this?
 
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  • #2
hyuen9195 said:

Homework Statement


A 11.0 kg crate is pulled up a rough incline with an initial speed of 1.3 m/s. The pulling
force is 121.0 N parallel to the incline, which makes an angle of 12.6◦ with the horizontal.
The coefficient of kinetic friction is 0.31 and the crate is pulled a distance of 8.0 m.
The acceleration of gravity is 9.81 m/s^2 .

Homework Equations


a) Find the work done by Earth’s gravity
on the crate. Answer in units of J.

The Attempt at a Solution


Fnormal=m*g*costheta
Fnormal=105.3111778N
Fnormal* coefficient of friction=Ffriction
Ffriction=32.64646511N
Fapplied-Ffriction=Fnet
Fnet=88.35353489N
Work=N*m
Work=706.8282791N*m
-(Work*sin12.6)=W done by gravity
Work done by gravity is 154.1898119N*m
I think I did it right, but the computer marked me wrong. Can anyone explained this?

What did you calculate the force of gravity is that is parallel to the displacement up the plane?
 
  • #3
The displacement is parallel to the plane. If that's what you are asking
 
  • #4
Your last step is incorrect. I'm not sure what you're trying to do there. Can you explain your thinking?
 
  • #5
a) Find the work done by Earth’s gravity on the crate. Answer in units of J.
I think you have to find the work done on the block parallel to the plane, then find the y component of the work
 
  • #6
Work is Force x displacement said very simply.

So the displacement is 8 m up and parallel the plane. All you need is the force due to gravity that is also parallel to the plane, thus also parallel to the displacement. What is the force due to gravity that is parallel to the displacement?And then, is it in the same direction as the displacement (+) work, or is it in the opposite direction as the displacement, (-) work.
 
  • #7
hyuen9195 said:
I think you have to find the work done on the block parallel to the plane, then find the y component of the work
Work is a scalar quantity, not a vector. It doesn't have a y-component. You'll need a different approach. Hint: The work done by gravity is the work done by only the force of gravity. You don't need to consider any of the other forces to calculate it.

When I said earlier that your steps were correct, I didn't mean to imply that they would all be necessarily useful in trying to calculate the work done by gravity, just that you didn't make any physics mistakes in deriving them.
 
  • #8
a) Find the work done by Earth’s gravity on the crate.
Weight*Distance sine theta=Work done by the gravity

b) Find the work done by the force of friction on the crate.
Weight*Distance cos theta*coefficient=Work done by the force of gravity

c) Find the work done by the puller on the crate.
Applied Force *Distance=Work done by the puller on the crate

d) Find the change in kinetic energy of the crate.
Answer to c-(Answer to b+Answer to c)=The change in kinetic energy of the crate

e) Find the speed of the crate after it is pulled 8.0 m.
The square root of [((2*Answer to d/Mass)+Vi^2)]

I finally figured c out and ask my classmate for the others
http://answers.yahoo.com/question/index?qid=20071212140953AATtl7k
 
Last edited:
  • #9
You should have negative answers for (a) and (b).
 
  • #10
For part d, it's Answer to c-(Answer to b+Answer to a)=The change in kinetic energy of the crate
 
  • #11
I believe that the amount of work done by gravity is equal to the potential gravitational energy. Therefor, if you find the height as it goes up a 8 meter incline, then you can also find the work using mgh (meters times gravitational acceleration times height). so I think the answer is 188 J, since sin12.5=height/8 where height is 1.745 meters, g=9.81m/s^2, and 11kg=mass. multiply them and you get the amount of joules it applied which should be 188 J. Well, then again if we consider the chnage in potential energy we can safely assume that the initial potential energy is 0. so, 188 j still holds true.
 

1. What is work done by gravity on an object on an inclined plane?

Work done by gravity on an object on an inclined plane refers to the amount of energy transferred to the object by the force of gravity as it moves along the inclined plane. This can be calculated by multiplying the force of gravity by the distance the object moves along the plane.

2. How is the work done by gravity affected by the angle of the inclined plane?

The work done by gravity on an object on an inclined plane is directly affected by the angle of the plane. As the angle increases, the force of gravity acting on the object also increases, resulting in a greater amount of work being done.

3. What is the relationship between work done by gravity and the weight of the object?

The work done by gravity is directly proportional to the weight of the object. This means that as the weight of the object increases, the amount of work done by gravity also increases.

4. How does the height of the inclined plane affect the work done by gravity?

The height of the inclined plane does not directly affect the work done by gravity on an object. However, it does affect the distance the object travels along the plane, which in turn affects the amount of work done.

5. Can the work done by gravity be negative?

Yes, the work done by gravity can be negative if the object is moving in the opposite direction of the force of gravity. This means that the object is losing energy as it moves along the inclined plane.

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