When an average force f is exerted over a certain distance on a shopping cart of mass m, its kinetic energy increases by 12mv2. a) use the work-energy theorem to find the distance over which the force acts. b) if twice the force is exerted over twice the distance, how does the resulting increase in kinetic energy compare with the original increase in kinetic energy?

A)

B)

Explanation:

Given that

Force  = F

Increase in Kinetic energy =

we know that

Work done by all the forces =change in the kinetic energy

a)

Lets distance = d

We know work done by force F

W= F .d

F.d=ΔKE

b)

If the force become twice

F' = 2 F

F'.d=ΔKE'

2 F .d = ΔKE'                          ( F.d =Δ KE)

2ΔKE = ΔKE'

Therefore the final kinetic energy will become the twice if the force become twice.

specific latent heat of fusion, lf, of a substance is defined as the amount of heat required to change a unit mass of the substance from solid to liquid state, without any change in the temperature.

explanation: