Question

A 25 kg box of roofing shingles is lifted 15 meters vertically to the top of a roof. How much work is done on the box?

Answer 1

Important Formulas:

`F=ma`

force(measured in newtons) = mass(measured in kg) * acceleration(measured in m/s^2)

`w=Fd`

work(measured in joules) = force(measured in newtons) * distance(measured in meters)

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Given:

`m=25kg`

`d=15m`

`w=?`

We know that the acceleration due to gravity is 9.8 m/s^2.

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Finding force:

`F=ma`

`F=25*9.8`

`F=245N`

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Finding work:

`w=Fd`

`w=245*15`

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`\fbox{w = 3675 Joules}`