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What we found:

Refer to the diagram above and solve all equations in-terms of R, M, k, and constants. What is the speed mass 2M as it reaches point B? Calculate the tension in the string supporting mass 2M as it reaches point B. Mass 2M collides with a smaller mass M at point B. After the collision, mass 2M has a speed equal to 1/3 its original value before the collision. What is the speed of mass M after the collision? Mass M then moves along the ground without friction with the speed found in #3 above, until it collides with the spring. Determine the maximum compression of the spring at C.

A 0.0350 kg bullet moving horizontally at 425 m/s embeds itself into an initially stationary 0.550 kg block. What is their velocity just after the collision? The bullet-embedded block slides on horizontal surface with a 0.40 kinetic coefficient of friction. What is its velocity after sliding 10.0 meters? The bullet-embedded block then strikes and sticks to a stationary 2.50 kg block (at the 10.0 m point). How far does system travel before stopping?

A space probe far from the Earth is traveling at 14.8 km/s. It has mass 1312 kg. The probe fires its rockets to give a constant thrust of 156 kN for 220 seconds. It accelerates in the same direction as its initial velocity. In this time it burns 150 kg of fuel. Calculate final speed of the space probe in km/s.

A 0.025 kg golf ball moving at 18.0 m/s crashes through the window of a house in 5.0 × 10-4 s. After the crash, the ball continues in the same direction with a speed of 10.0 m/s. Assuming the force exerted on the ball by the window was constant, what was the magnitude of this force? What impulse was delivered to the ball?