A large stone is rolled onto a lorry using a ramp.*1 pointThe length of the ramp is l. The stone is lifted a height of h.The mass of the stone is m. The weight of the stone is W.Which expression is equal to the useful work done on the stone?
Question
A large stone is rolled onto a lorry using a ramp.*1 pointThe length of the ramp is l. The stone is lifted a height of h.The mass of the stone is m. The weight of the stone is W.Which expression is equal to the useful work done on the stone?
Solution
The useful work done on the stone is given by the formula for work, which is force times distance. In this case, the force is the weight of the stone and the distance is the height it is lifted.
The weight of the stone (W) is equal to the mass of the stone (m) times the acceleration due to gravity (g). So, W = m*g.
The useful work done (U) is then the weight of the stone times the height it is lifted, or U = W*h.
Substituting the expression for W from above, we get U = mgh.
So, the expression equal to the useful work done on the stone is mgh.
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