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

Question
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

Image Transcription

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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