Work do on the crate by gravity : <u>W = -10290 J</u>
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Further explanation</h3>
Work is the transfer of energy caused by the force acting on a moving object
Work is the product of force with the displacement of objects.
Can be formulated
<h3>W = F x S
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W = Work, J, Nm
F = Force, N
S = distance, m
Force and displacement of objects are vector. Multiplication of both is in accordance with the dot product concept of two vectors. Whereas W is a scalar quantity. Then if there is an angle formed by the force F and the displacement S is θ, then it can be formulated
<h3>W = F cos θ.S
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There are 4 forces on the crate, so there are 4 work that occurs
- work done by the applied force = Wp
- work done by the frictional force = Wf
the magnitude is the same as the force applied by the applied force (Fp) but the opposite direction
- work done by the normal force = Wn
the direction is upward with F = mg
- work done by the gravitational force = Wg
Because what is sought is only work by the force of gravity, then
we can find it from the formula of potential energy
W = ΔPE = - m. g. (h2-h1)
W = - mgh2 (h1 = 0)
Negative value are caused by <em>the movement of objects in the opposite direction to the downward force of gravity</em>
W = - 700. 9.8. 3 sin 30 (h2 has an angle of 30°)
W = -10290 J
<h3>
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