Conservation of Energy Questions
Use a system schema to identify the system and energy transformations taking place
Problem A: A block slides down a frictionless ramp of height h. It reaches velocity v at the bottom. To reach a velocity 2v, the block would need to slide down a ramp of height
Problem B: A block is shot up a frictionless 40 degree slope with initial velocity v. It reaches height h before sliding back down. The same block is shot with the velocity up a frictionless 20 degree slope. On this slope, the block reaches a height of
Problem C: Two balls, one twice as heavy as the other, are dropped from the roof of a building. Just before hitting the ground, the heavier ball has ____ the kinetic energy of the lighter ball.
Problem D: A spring-loaded gun shoots a ball 12 m straight up in the air. The ball is shot again, but this time the spring is only compressed half as far. If air resistance is and friction are negligible, the new maximum height of the ball will be
Problem E: A block sliding along a frictionless horizontal surface with velocity v collides with a spring. The far end of the spring is fixed in place, and the spring is compressed by the block. The maximum compression is 1.4 cm. If the block then collides with the spring while having a velocity of 2v, the spring's maximum compression will be
Prboblem F: If the spring in problem E is replaced by a spring whose spring constant is twice as large, a block with velocity v will compress the new spring a maximum distance of