### What impulse does an engine impart to the rocket

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Q1. A 8.9 kg mass is attached to a light cord that passes over a massless, frictionless pulley. The other end of the cord is attached to a 3.8 kg mass. Utilize conservation of energy to determine the final speed of the first mass after it has fallen (starting from rest) 4.8 m. The acceleration of gravity is 9.8 m/s2.

Answer in units of m/s

Q2. An 38 g rifle bullet travelling 330 m/s buries itself in a 5.2 kg pendulum hanging on a 2.2 m long string, which makes the pendulum swing upward in an arc. Determine the greatest vertical displacement of the pendulum (height). (g = 9.8 m/s2)

Q3. Far in space, where gravity is negligible, a 455 rocket travelling at 75.0 in the positive x-direction fires its engines. The figure shows the thrust force as a function of time. The mass lost by the rocket during these 30.0 is negligible. What impulse does an engine impart to the rocket?

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