Conservation of Energy: Spring onstant

[yomii]

Homework Statement

if a basketball of mass=5kg is dropped from a height of 3 cm hits the ground and it compresses 0.015m then what is the spring constant

 

[Astronuc]

Homework Statement

if a basketball of mass=5kg is dropped from a height of 3 cm hits the ground and it compresses 0.015m then what is the spring constant

Please demonstrate effort and show one's work.

What is the potential energy of the ball with respect to the impact point?

What is the mechanical energy of a compressed spring in relation to spring constant and deflection?

Answer both questions and solve the problem.

 

[zumi78878]

Homework Statement

if a basketball of mass=5kg is dropped from a height of 3 cm hits the ground and it compresses 0.015m then what is the spring constant

use the conservation of energy.

Et1=Et1

all the the gravitational energy turns into elastic potential energy.

so Eg1 = Es2

mgh = (1/2)kx^2