Free Version
Difficult

# Medicine Ball Stopped by a Spring

APPH12-YNNFMG

A medicine ball was dropped unto a vertically mounted ideal spring. The medicine ball remained on the top of the spring as the spring compressed and stopped the medicine ball.
What is known is:

• The mass of the medicine ball was 6.5 kg ($m = 6.5$ kg).
• The spring compressed 0.87 m from its equilibrium position as it stopped the medicine ball (${x}_{max}= 0.87$ m).
• The total vertical displacement of the medicine ball was 5.7 m: this displacement includes the distance that the spring compressed.

What is the spring constant, $k$, of the spring?

A

$97$ N/m

B

$810$ N/m

C

$830$ N/m

D

$950$ N/m