Answer:
[tex]a=-10.86\ m/s^2[/tex]
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,
[tex]a=\dfrac{mg-F}{m}\\\\a=\dfrac{0.75\times 9.81-15.5}{0.75}\\\\a=-10.86\ m/s^2[/tex]
A negative sign shows that the ball is accelerating in a downward direction.
