Mechanical Energy: Calculating Work w/ Box, Ramp & Friction

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To calculate the total work required to push a 36 kg box up a ramp, first determine the work against gravity, which is the increase in gravitational potential energy as the box is raised 1.7 m. This can be calculated using the formula W = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height. Next, calculate the work against friction using the formula W = Force x Distance, where the friction force is 20 N and the distance is the length of the ramp. The total work required is the sum of the work done against gravity and the work done against friction. Understanding these calculations is essential for accurately determining the mechanical energy involved in moving the box.
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How much work was required to push a 36 kg box from the bottom of a ramp a distance of 10 m to the top of 1.7 m above the ground if the friction force between the box and the ramp is 20 N? Help? Formulas?
 
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To push the box up the ramp required:
(1) work against gravity (which equals the increase in gravitational potential energy).
(2) work against friction (think W = Force x Distance).

Figure these two out and add them to find the total work required.
 
The 20 N friction force is the part I'm unsure about.
 
You know the force needed to overcome the friction (20 N). So over what distance do you have to push against friction in raising the box?
 

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