A very massive cart A fitted with a compressible spring and initially moving to the right collides with a much less massive cart B which is initially at rest. Both carts roll with negligible friction and are constrained to move along a straight track. The graph shows the force that the spring exerts on cart B as a function of time during the T seconds that the spring acts on cart B. Cart B travels a distance D while the spring acts on it. At what instant does the spring store the greatest potential energy? At what instant does cart B have the greatest kinetic energy? Suppose that the experiment is repeated with a stiffer spring so that Fmax is doubled and T is halved. How would this affect the final speed of the cart and the distance D? Justify your answers. A 0000000 F. T %T ¾T тах
A very massive cart A fitted with a compressible spring and initially moving to the right collides with a much less massive cart B which is initially at rest. Both carts roll with negligible friction and are constrained to move along a straight track. The graph shows the force that the spring exerts on cart B as a function of time during the T seconds that the spring acts on cart B. Cart B travels a distance D while the spring acts on it. At what instant does the spring store the greatest potential energy? At what instant does cart B have the greatest kinetic energy? Suppose that the experiment is repeated with a stiffer spring so that Fmax is doubled and T is halved. How would this affect the final speed of the cart and the distance D? Justify your answers. A 0000000 F. T %T ¾T тах
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