A child\'s toy consists of a block that attaches to a table with a suction cup,

Question

A child's toy consists of a block that attaches to a table with a suction cup, a spring connected to that block, a ball, and a launching ramp. The spring has a spring constant K , the ball has a mass M , and the ramp rises a height Y above the table, the surface of which is a height H above the floor.

Initially, the spring rests at its equilibrium length. The spring then is compressed a distance S , where the ball is held at rest. The ball is then released, launching it up the ramp. When the ball leaves the launching ramp its velocity vector makes an angle THETA with respect to the horizontal.

Throughout this problem, ignore friction and air resistance.

1)Relative to the initial configuration (with the spring relaxed), when the spring has been compressed, the ball-spring system has?
A)gained kinetic energy
b)gained potential energy
C)lost kinetic energy
D)lost potential energy
2) As the spring expands (after the ball is released) the ball-spring system?
A)gains kinetic energy and loses potential energy
b)gains kinetic energy and gains potential energy
c)loses kinetic energy and gains potential energy
d)loses kinetic energy and loses potential energy

3)As the ball goes up the ramp, it?
A) gains kinetic energy and loses potential energy
B) gains kinetic energy and gains potential energy
C) loses kinetic energy and gains potential energy
D) loses kinetic energy and loses potential energy
4) As the ball falls to the floor (after having reached its maximum height), it?
a)gains kinetic energy and loses potential energy
b)gains kinetic energy and gains potential energy
c)loses kinetic energy and gains potential energy
d) loses kinetic energy and loses potential energy

Explanation / Answer

Compressing a spring gains potential (1/2*k*x^2). B. As a spring expands you lose spring potential, and therefore it has to go somewhere, in this case into kinetic. So A. 3. Loses kinetic and gains GPE so C. (Think about anything going up a hill) 4. A. (think anything falling to the floor)

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