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V = 0 750 g 500 g A 500-gram cart rolls with negligible friction along a straight flat track until it collides with a 750-gram cart that was initially at rest. Position-time data for the 500-gram cart before it hits the other cart is recorded in the data table below. x-position of 500 g cart (cm) 0 10 20 30 40 time (s) O 0.5 1.0 1.5 2.0 (a) At time t = 2 seconds, the two carts collide in a perfectly inelastic collision (meaning they stick together). Calculate the final velocity of the 500-gram cart after this collision.

V = 0 750 g 500 g A 500-gram cart rolls with negligible friction along a straight flat track until it collides with a 750-gram cart that was initially at rest. Position-time data for the 500-gram cart before it hits the other cart is recorded in the data table below. x-position of 500 g cart (cm) 0 10 20 30 40 time (s) O 0.5 1.0 1.5 2.0 (a) At time t = 2 seconds, the two carts collide in a perfectly inelastic collision (meaning they stick together). Calculate the final velocity of the 500-gram cart after this collision.

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V = 0 750 g 500 g A 500-gram cart rolls with negligible friction along a straight flat track until it collides with a 750-gram cart that was initially at rest. Position-time data for the 500-gram cart before it hits the other cart is recorded in the data table below. x-position of 500 g cart (cm) o 10 20 30 40 time (s) O 0.5 1.0 1.5 2.0 (a) At time t = 2 seconds, the two carts collide in a perfectly inelastic collision (meaning they stick together). Calculate the final velocity of the 500-gram cart after this collision. (b) The collision takes place over a time period of 0.5 seconds. Draw and label a graph of the velocity of both carts as a function of time for the time period t = 0 to 4 seconds (still assuming negligle fricton). 0.0 1.0 2.0 3.0 4.0 5.0 t(s) (c) Determine the impulse applied to the 750 g cart. (d) Determine the magnitude of the average force acting on the 500 g cart during the colli- sion.
Transcribed Image Text:V = 0 750 g 500 g A 500-gram cart rolls with negligible friction along a straight flat track until it collides with a 750-gram cart that was initially at rest. Position-time data for the 500-gram cart before it hits the other cart is recorded in the data table below. x-position of 500 g cart (cm) o 10 20 30 40 time (s) O 0.5 1.0 1.5 2.0 (a) At time t = 2 seconds, the two carts collide in a perfectly inelastic collision (meaning they stick together). Calculate the final velocity of the 500-gram cart after this collision. (b) The collision takes place over a time period of 0.5 seconds. Draw and label a graph of the velocity of both carts as a function of time for the time period t = 0 to 4 seconds (still assuming negligle fricton). 0.0 1.0 2.0 3.0 4.0 5.0 t(s) (c) Determine the impulse applied to the 750 g cart. (d) Determine the magnitude of the average force acting on the 500 g cart during the colli- sion.
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