A mass ma 3.0 kg, moving with velocity V=(4.01 + 8.01 - 2.0k)m/s, collides with mass ms = 4.0 kg, which is initially at rest. Immediately after the collision, mass ma is observed traveling at velocity VA (-2.01 + 2.0k)m/s. Find the velocity of mass me after the collislon In m/s. (Assume no outside force acts on the two masses during the collision.) %3D %3D

You are investigating a collision between three boats on a lake. You know the mass of each boat, aswell as their initial velocities. Boat A: Mass: 451kg, Initial Velocity: 8x̂ Boat B: Mass 512kg, Intial Velocity: 2x̂-6ŷ Boat C: Mass 575kg, Intial Velocity: ? Intial Velocities given in m/s. After the collision, the GPS devices on boats A and B agree that the velocity was (−3 m/s)x̂ +(4 m/s)ŷ. Unfortunately, the captain of boat C claims their GPS tracker was destroyed in thecollision. What was the velocity of boat C just before the collision?

2. A 40 kg astronaut is floating in space, initially motionless in the reference frame of her nearby space ship. She has in her possession two 5 kg oxygen canisters. She suddenly notices a small 4 kg asteroid heading straight for her at a speed of 5 m/s. Wanting to avoid a collision she hurls one of the two canisters as hard as she can (3 m/s relative to her frame just before the throw) at the asteroid. The canister hits the asteroid dead on and sticks to it. A) After she throws the canister, what is her velocity relative to the space ship? B) After the canister sticks to the asteroid, what is the asteroid's velocity relative to the ship? C) She then hurls the second canister as hard as she can (3 m/s relative to her frame just before the throw), which again hits the asteroid dead on and sticks to it. What is her velocity relative to the space ship now? D) What is the asteroid's velocity now relative to the ship? Have her actions managed to avoid an impending collision between her and…

Two particles approach each other with equal and opposite speed, v. The mass of one particle is m, and the mass of the other particle is nm, where n is just a unitless number. Snapshots of the system before, during, and after the elastic collision are shown. After the collision, the first particle moves in the exact opposite direction with speed 2.95v, and the speed of the second particle, vnm(final) , is unknown. What is the value of n?