Question

Calculate the value of g in the following
two cases:
(a) If a mango of mass 7 kg falls from
a tree from a height of 15 meters,
what is the acceleration due to
gravity when it begins to fall?​

Answer 1

The force acting on a falling object is the Gravitational Force(G) and acceleration caused is termed as acceleration due to gravity (g)

Now, The force acting is given by

$F = G \frac{M \times m}{{r}^{2}}\\</p><p>and,\: F = m a=m g\\</p><p>So,\:\: mg=G\frac{Mm}{{r}^{2}}\\</p><p>or,\:\: g = G\frac{M}{{r}^{2}}$

So, as we can see Acceleration due to gravity doesn't depends on mass of object(m).

Again, distance between the two objects (r) can be taken as radius (R) of the earth as effect due to addition of 15m to radius of earth is negligible..

So, value of g is same for all objects on a body (in this case earth)..

i.e. g=9.8m/s²