Solving Work Done in Pushing Sled Up Snowy Incline

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In summary, the father does 2153J of work in moving his daughter's sled from the bottom to the top of a snowy incline with a 15 degree angle. This is calculated using the equation work = force * distance, and taking into account the given values for force, angle, and distance.
  • #1
foxproff
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Homework Statement



A father pushes horizontally on his daughter’s sled to move it up a snowy incline, If the sled moves up the hill with a constant velocity, how much work is done by the father in moving it from the bottom to the top of the hill? (angle of incline is 15 degrees
F + f(k) + mg = 0
F= -f(k)-mg
= -(-66.2N) - (-88.7N)
= 66.2N + 88.7N
= 154.9N

Work, w=fd
=154.9N * 13.9m
2153J




Homework Equations

work = force,f * Distance, d



The Attempt at a Solution



F + f(k) + mg = 0
F= -f(k)-mg
= -(-66.2N) - (-88.7N)
= 66.2N + 88.7N
= 154.9N

Work, w=fd
=154.9N * 13.9m
2153J
 
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  • #2
foxproff said:
A father pushes horizontally on his daughter’s sled to move it up a snowy incline, If the sled moves up the hill with a constant velocity, how much work is done by the father in moving it from the bottom to the top of the hill? (angle of incline is 15 degrees

Is that the entire question?
 
  • #3
yes
the plane makes an angle of 15 degrees with the horizontal
it has a height of 3.6m from the ground
thanks
 

1. How do you calculate the work done in pushing a sled up a snowy incline?

The work done in pushing a sled up a snowy incline can be calculated by multiplying the force applied to the sled by the distance over which it is pushed. This can be represented by the formula W = Fd, where W is the work done, F is the force applied, and d is the distance.

2. What factors affect the amount of work done in pushing a sled up a snowy incline?

The amount of work done in pushing a sled up a snowy incline is affected by several factors, including the mass of the sled, the angle of the incline, and the coefficient of friction between the sled and the surface of the incline. Other factors such as air resistance and the force of gravity may also play a role.

3. How does the angle of the incline affect the work done in pushing a sled up a snowy incline?

The angle of the incline can greatly affect the amount of work done in pushing a sled up a snowy incline. The steeper the incline, the greater the force required to push the sled up it. This means that more work will be done in pushing the sled up a steeper incline compared to a shallower one.

4. Is there a difference in the work done when pushing a sled up a snowy incline compared to a flat surface?

Yes, there is a difference in the work done when pushing a sled up a snowy incline compared to a flat surface. This is because the incline adds an additional force component (the force of gravity) that must be overcome in order to move the sled up the incline. This results in more work being done compared to pushing the sled on a flat surface.

5. Can the work done in pushing a sled up a snowy incline be reduced?

Yes, the work done in pushing a sled up a snowy incline can be reduced by decreasing the angle of the incline or by using a surface with less friction. Additionally, using techniques such as pushing the sled in short bursts rather than continuously can also help to reduce the overall work done.

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