Question

A 25-kg weight is submerged in a tank attached to a spring, and the spring is compressed 0.1m with a final force of 1000N and released, how much energy is transferred to the water as heat by the time the oscillations stop? Assume that the energy is transferred with 100% efficiency. Neglect gravity.

Answer 1

energy is transferred to the water as heat is 50 J

Step-by-step explanation:

given data

compress = 0.1 m

force = 1000 N

to find out

how much energy is transferred to the water as heat

solution

we know total energy store in spring transfer to water as heat with 100 % efficiency

so

we use force formula that is

force = - kx ..............1

here k is spring constant and x is length

so k will be from equation 1

1000 = - k ( 0.1)

magnitudes of k =
`10^(4)` N/m

and

energy store in spring is

`energy = (1)/(2) kx^2`

`energy = (1)/(2) 10^(4) *(0.1)^2`

so energy = 50 J