- #1

dannolul

- 4

- 0

- Homework Statement
- A ball of mass 73kg starts at the top of a 52m high hill with a speed of 20.0 m/s. It rolls down the hill onto a spring and compresses it to a maximum of 46.5cm. Find the spring constant of the spring.

- Relevant Equations
- Et1=Et2

ek1+eg1+ee1=ek2+eg2+ee2

ek1+eg1=Ee2

Ek= kinetic energy (1/2mv^2)

eg=Grabitational energy (mgh)

Ee=elastic energy (1/2kx^2)

I expanded ET1=ET2 to get

(Total energy at top) 1/2mv^2+mgh = 1/2kx^2 (Total energy at bottom)

Rearanged i got

k = (mv^2+2mgh)/x^2

so [(73)(20)^2+2(73)(9.8)(52)]/0.465^2

=479137.945N/m

(Total energy at top) 1/2mv^2+mgh = 1/2kx^2 (Total energy at bottom)

Rearanged i got

k = (mv^2+2mgh)/x^2

so [(73)(20)^2+2(73)(9.8)(52)]/0.465^2

=479137.945N/m

Last edited: