A 20.5 kg ball moving at 38.5 m/s on a horizontal, frictionless surface runs into a light spring of force

constant 5.15 N/cm. Use the work-energy theorem to find the maximum compression (in m) of the spring.

Question

Evangeline Preston

Physics

16 December, 19:10

A 20.5 kg ball moving at 38.5 m/s on a horizontal, frictionless surface runs into a light spring of force

constant 5.15 N/cm. Use the work-energy theorem to find the maximum compression (in m) of the spring.

+2

Answers (1)

Know the Answer?

Jaidyn Frederick · Answer 1

7.68 m

Explanation:

Kinetic energy in ball = elastic energy in spring

KE = EE

½ mv² = ½ kx²

mv² = kx²

x = v √ (m / k)

x = (38.5 m/s) √ (20.5 kg / 515 N/m)

x = 7.68 m

A 20.5 kg ball moving at 38.5 m/s on a horizontal, frictionless surface runs into a light spring of forceconstant 5.15 N/cm. Use the work-energy theorem to find the maximum compression (in m) of the spring.

A 20.5 kg ball moving at 38.5 m/s on a horizontal, frictionless surface runs into a light spring of force

constant 5.15 N/cm. Use the work-energy theorem to find the maximum compression (in m) of the spring.