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. (Figure 1)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 θ with respect to the horizontal. Throughout this problem, ignore friction and air resistance.

Part A

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

Part B

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

Part C

As the ball goes up the ramp, it

A. galns 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

Part D

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

Part E

Which of the graphs shown best represents the potential energy of the ball-spring system as a function of the ball's horizontal displacement? (Figure 2)Take the "zero" on the distance axls to represent the point at which the spring is fully compressed. Keep in mind that the ball is not attached to the spring, and neglect any recoil of the spring after the ball loses contact with it.

Part F

Figure 1 of 2 Calculate v_r, the speed of the ball when it leaves the launching ramp. Express the speed of the ball in terms k, s, m, g, y, and/or H.

Templates Symbols

v_r =

[su_box title="♦ Relevant knowledge" box_color="#2d6ff7" radius="1"]

Energy is the measurement of the capacity of an object to perform anything. The energy of the object that is not moving or potential energy, and the energy of the object moving is known as Kinetic energy.

[/su_box]

Harry O'Connor · Accepted Answer

Sign Up

Sign In

Forgot Password

ITtutoria Latest Questions

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

Find the kinetic energy K of the car at the top of the loop.