How will the force of gravity acting on a body change if its mass decreases by 5 times?

Given:

m is body weight;

m1 = m / 5 – body weight decreased by 5 times;

g = 9.8 meters per second squared – gravitational acceleration (constant near the Earth’s surface).

It is required to determine F1 / F – how the gravity of the body will change with a decrease in its mass.

In the first case, the force of gravity will be equal to:

F = m * g.

In the second case, the force of gravity will be equal to:

F1 = m1 * g = m * g / 5.

Then:

F1 / F = (m * g / 5) / (m * g) = m * g / (5 * m * g) = 1/5.

Answer: the force of gravity will decrease by 5 times.



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