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

Answer:

energy is transferred to the water as heat is 50 J

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

$energy = \frac{1}{2} kx^2$

$energy = \frac{1}{2} 10^{4} *(0.1)^2$

so energy = 50 J