Question

explain why a 10 kg object will fall towards the earth with the same acceleration as a 1 kg object?

Answer 1

Hey mate your answer is

This is because

According to the gravitional force

$f = \frac{g \times m1 \times m2}{ {r}^{2} } \: \: \: \: \: \: .......(1)$

here m1 is the mass of the earth and m2 is the mass of object which is been falling towards the surface of earth.

also according to newtons second law
f = ma
putting this value in eqn (1)
we have

$m2a \: = \frac{g \times m1 \times m2}{ {r}^{2} }$
$a = \frac{g \times m1}{ {r}^{2} }$
so we can observe from the above equation that accelaration doesn't depends upon the mass of object but it depends only upon the mass of earth and the radius of earth.