# Efficiency and Energy to move a box on a conveyor belt

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## Homework Statement:

Please refer to the attached picture.

## Relevant Equations:

This is where I am stuck at, I can’t seem to figure out the formulas to use and the combination of using them. Last edited by a moderator:

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etotheipi
Gold Member
2019 Award
What force acts on the box? I assume the conveyor belt is horizontal.

Gravity??? Not sure

etotheipi
Gold Member
2019 Award
If the box is being accelerated by the belt, the belt's got to be exerting a force on it. You know the mass of the box (from the weight) and the acceleration, so can you get the force the belt exerts on the box? etotheipi
Gold Member
2019 Award
Yeah, but you can just use components here. Just say ##F=ma##. What is the force?

Would that be 350 x 2.78 to get 973 N as the force?

etotheipi
Gold Member
2019 Award
Would that be 350 x 2.78 to get 973 N as the force?
What's the mass of the box?

Oops, that would be 35.7 kg. Then 35.7 x 2.78 to get 99.2 N

haruspex
Homework Helper
Gold Member
Oops, that would be 35.7 kg. Then 35.7 x 2.78 to get 99.2 N
So how much work is done on the box in moving it the 100m?

So how much work is done on the box in moving it the 100m?
I used f=ma to get 99.2N then I used W=fd to get 9920J. This energy is the output, so output/0.25=input. To get a final answer of 3.97 x 10^4 J This is correct?

haruspex