Question

8. (15 points) A new amusement park ride has a 500 kg boat with wheels compressing a spring (k 7200 N/m) a distance of 3.0 m at the top of a 16.0 m tall hill. When the spring is released, the boat travels from rest down the hill, straight through a pool of water that applies a constant 2000 N of friction for 50 m then it exits the water. Find how fast the boat is traveling when it leaves the water. Assume that the friction only exists while the boat s in the water lbin ZCOON 50m (7200 3)s0) (a-el at 3.4 m/s collides head-on witha 9. (15 points) A ball of mass 2.5 kg travels to the right second ball of mass 1.20 kg traveling at 1.8 m/s to the left. After the collision, the objects stick together. A) What type of collision is this? pericty los h B) Find the final velocity of the balls. C) Find the loss in kinetic energy due to the collision L5

i got a take home test and wanted to get my work double checked

Answer 1

8) initially there is potential energy and spring energy, which is converted into kinetic energy at the bottom of the hill.

From conservation of energy principle we can find velocity of the boat before entering the water.

From given acceleration and distance we can find final velocity velocity.

9) a) since both masses stick together, collision is perfectly inelastic.

b) from conservation of momentum we can find final velocity of the balls

c) we have initial and final velocities now. So loss in kinetic energy is difference of initial kinetic energy and final kinetic energy

Everything you've done is perfectly right. Well done. Good luck on your test