Question

A mass is vibrating at the end of a spring of force constant 225N/m . The figure shows a graph of its position x as a function of time t.
At what times between t=0s and t=4.5s including the endpoints of the interval, is the mass not moving?

How much energy did this system originally contain?
How much energy did the system lose between t= 1.00 and t= 4.00 ?
Where did this energy go?

Answer 1

Answer 2

A) At t=0, s=.07m

E = 1/2 KX^2 = .5 *225 *.07^2= .55J

at t=4x=.03m
E2 =1/2 KX^2 = .5 *225 *.03^2= .1J
B)LOST = .55-.1 =.45J

Answer 3

A) mass not moving at t = 0, 1, 2, 3, 4 sec

B) At t=0, s=.07m
E = 1/2 KX^2 = .5 *225 *.07²= .55J

C) E lost = (1/2 KX_1sec² - 1/2 KX_4sec²) = K/2 ( (-.06)² - (.03)² )=.30375 J

Answer 4

what about where the energy went?

Answer 5

The energy was lost to kinetic energy- it was moving.