Question

Frances drops a .75kg ball off a balcony sandra standing on the ground below the balcony, catches the ball by exerting a 15.5N force upwards on the ball. determine the acceleration of the ball while aisha is catching it

show diagrams and sketch and explain why

Answer 1

`a=-10.86\ m/s^2`

Step-by-step explanation:

Given that,

Mass of a ball, m = 0.75 kg

It is dropped off a balcony Sandra standing on the ground below the balcony, catches the ball by exerting a 15.5N force upwards on the ball.

We need to find the acceleration of the ball while Aisha is catching it.

The net force acting on the ball is given by :

F = ma

In this case, when the ball is accelerating downward,

mg-F=ma

a is the acceleration of the ball and g is the acceleration due to gravity

So,

`a=(mg-F)/(m)\\\\a=(0.75* 9.81-15.5)/(0.75)\\\\a=-10.86\ m/s^2`

A negative sign shows that the ball is accelerating in a downward direction.