True and false questions about the relationship between compression, kinetic energy and potential energy.

A ball of mass m is shot straight up into the air by a spring-loaded launcher. When the spring is compressed by a distance D and then released, the ball has a velocity v out of the launcher and reaches a maximum height H. Ignoring air resistance, which of the following statements is/are true? (Give ALL correct answers) A) If the compression of the spring is doubled, the ball will reach a height of H. B) The sum of the ball's KE and the spring's PE is constant C) If the compression of the spring is doubled, the velocity of the ball out of the launcher will be 8v D) If the mass of the ball is doubled, the ball will reach a height of H E) If the spring constant is doubled, the ba... click for more

True and false questions about the relationships between impulse, momentum, kinetic energy and gravitational potential energy.

Two equal mass balls (one red and the other blue) are dropped from the same height, and rebound off the floor. The red ball rebounds to a higher position than the blue ball. Neglect air resistance. Which of the following statements is/are true about this situation? (Give ALL correct answers) A) During the entire process, mechanical energy is not conserved B) Neither ball is subjected to any impulse during the collision with the floor C) Except for the instant they collide with the floor, both balls are in free fall D) Once they come to a stop in the air after bouncing off the floor, the red ball has a greater amount of potential energy E) During the collision with the f... click for more

Calculating the distance that a box will side with a given mass and coefficients of friction.

A box sits at rest at the top of a frictionless hill, at a height of 40.50 m above the ground. The box slides down the hill, and then continues across rough ground (with coefficient of kinetic friction 0.36) until it stops. What distance will the box slide along the ground before coming to a stop?

Working with spring oscillations and friction.

A block attached to a spring is acted on by a spring with spring constant k and a weak frictional force of constant magnitude f. The block is pulled a distance Xo from the equilibrium and released. It oscillates many times and eventually comes to rest. a) Show that the decrease of amplitude is the same for each cycle of oscillation. b) Find the number of cycles of n the mass oscillates before coming to rest. Answer- n=(1/4)((kXo/f)-1)

Calculating velocity in elastic collisions.

A ball of mass m1 = 31.00 grams moving at 15.20 m/s collides head-on with a stationary ball of mass m2 = 116.00 grams. The collision is elastic. What is the velocity of the first ball immediately after the collision?