Question
The spring is unstretched at the position $x=0 .$ Under the action of a force $P$, the cart moves from the initial position $x_{1}=-6$ in. to the final position $x_{2}=3$ in. Determine $(a)$ the work done on the cart by the spring and $(b)$ the work done on the cart by its weight.
Step 1
Step 1: The work done on the cart by the spring is given by the formula $U_{1-2}=\frac{1}{2}k(x_1^2-x_2^2)$, where $k$ is the spring constant, $x_1$ is the initial position and $x_2$ is the final position. Show more…
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