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4. A block with mass m = 1.25 [kg] is held at a distance h = 1.50 [m] above a spring with spring constant k = 240. [N/m] as shown. The mass is then let go and eventually compresses the spring by x. A.What is the speed of the block immediately before it touches the spring? B. What is the magnitude of x?

5. Three pucks with masses ma = 25.0 [g], mg = 50.0 [g], and mc= 75.0 [g] approach the origin as they move on a frictionless table. Puck A moves with speed VA = 3.50 [m/s] while puck B moves with speed VB = 1.25 [m/s] and is oriented at = 72.0 below the horizontal as shown. All the pucks arrive at the origin at the same time and stick together, causing it to move at 0.12 [m/s] to the +x direction.

A. What must be the x- and y-components of puck C's initial momentum for the described collision to happen?

B. What must be the magnitude and direction of puck C's initial velocity for the described collision to happen?

C. What is the change in the system's total kinetic energy?

D. Did the system lose energy after the collision?

6. A m = 25.0 [kg] block slides down a =36.0 incline as shown, leaving the end with a speed of um = 1.20 [m/s]. At the same time, a M = 75.0 [kg] cart, whose top end is located h = 3.00 [m] below the end of the chute, moves to the left with a speed of um = 3.00 [m/s], and catches the block as it falls. Once the cart catches the block, both move with the same speed. You may ignore friction.

A. What is the speed of the block just as it hits the cart? B. What is the velocity of the block-cart system after the cart catches the block? C. What is the change in energy of the cart and block immediately before and immediately after collision?

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