Two spheres of mass 10 g and 100 g each falls on the two pans of a table balance from a height of 40 cm and 10 cm, respectively. If both are brought to rest in 0.1 second, determine the force exerted by each sphere on the pans.

Explanation

Find the velocity acquired by each sphere using `v^(2) = u^(2) + 2 as`
Find the rate of change of momentum of a sphere `= F = (m(v-u))/(t)`
The force exerted by a sphere = weight (w) + F.