0 kg frictionless cart is moving at a constant speed of 3.0 m/s to the right on a horizontal surface, as shown above, when it collides with a second cart of undetermined mass m that is initially at rest. The magnitude of the force F of the collision as a function of time t is shown in the graph below, where t = 0 is the instant of initial contact. As a result of the collision, the second cart acquires a speed of 2.4 m/s to the right. Assume that friction is negligible before, during, and after the collision. a) Calculate the magnitude and direction of the velocity of the 2.0 kg cart after the collision. b) Calculate the mass m of the second cart

The figure below shows a bullet of mass 210 g traveling horizontally towards the east with speed 420 m/s, which strikes a block of mass 2.5 kg that is initially at rest on a frictionless table. After striking the block, the bullet is embedded in the block and the block and the bullet move together as one unit. (a) What are the magnitude (in m/s) and direction of the velocity of the block/bullet combination immediately after the impact? magnitude m/s direction ---Select--- (b) What are the magnitude (in N· s) and direction of the impulse by the block on the bullet? magnitude N.S direction ---Select--- (c) What are the magnitude (in N: s) and direction of the impulse from the bullet on the block? magnitude N.s direction ---Select-- (d) If it took 3 ms for the bullet to change the speed from 420 m/s to the final speed after impact, what is the average force (in N) between the block and the bullet during this time? (Enter the magnitude.)

A block of mass m1=1.50 kg is initially travelling at u1=3.50 m/s to the right. It collides with a block of mass m2=1.10 kg, travelling at u2=2.00 m/s to the left. After the collision, block 2 is seen travelling at v2=1.20 m/s to the right. Find the coefficient of restitution in this situation

A 45.0 kg girl is standing on a 137 kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.41 m/s relative to the plank. (Let the direction the girl is moving in be positive. Indicate the direction with the sign of your answer.) (a) What is her velocity relative to the surface of ice? m/s(b) What is the velocity of the plank relative to the surface of ice? m/s