The forces of gravity acting on two cast iron parts differ by a factor of 4. How many times do their

The forces of gravity acting on two cast iron parts differ by a factor of 4. How many times do their volumes differ? masses?

Given:

F1 = F is the force of gravity acting on the first cast iron part;

F2 = 4 * F – gravity acting on the second cast iron part;

ro is the density of the cast iron.

It is required to find the ratio of the masses of the parts m2 / m1 and the ratio of the volumes of the parts V2 / V1.

F1 = m1 * g or m1 = F1 / g;

F2 = m2 * g or m2 = F2 / g;

m2 / m1 = F2 * g / (F1 * g) = F2 / F1 = 4 * F / F = 4.

m2 / m1 = ro * V2 / (ro * V1) = V2 / V1 = 4.

Answer: the masses and volumes of cast iron parts differ by 4 times.