Chapter 14, Problem 25MCQ

A ball of mass m oscillates on a spring with spring constant k = 200 N/m. The ball’s position is x = (0.350 m)cos(15.0t), with t measured in seconds.

a. What is the amplitude of the ball’s motion?

A. 0.175 m

B. 0.350 m

C. 0.700 m

D. 7.50 m

E.15.0 m

b. What is the frequency of the ball’s motion?

A. 0.35 Hz

B. 2.39 Hz

C. 5.44 Hz

D. 6.28 Hz

E. 15.0 Hz

c. What is the value of the mass m?

A. 0.45 kg

B. 0.89 kg

C. 1.54 kg

D. 3.76 kg

E. 6.33 kg

d. What is the total mechanical energy of the oscillator?

A. 1.65 J

B. 3.28 J

C. 6.73 J

D. 10.1 J

E. 12.2 J

e. What is the ball’s maximum speed?

A. 0.35 m/s

B. 1.76 m/s

C. 2.60 m/s

D. 3.88 m/s

E. 5.25 m/s