Question

A 4.33 kg ball is dropped from the roof of a building 157.2 m high. While the ball is falling to Earth, a horizontal wind exerts a constant force of 11.5 N on the ball. How long does it take to hit the ground? The acceleration of gravity is 9.81 m/s 2 . Answer in units of s.

Answer 1

Answer:

The ball takes 5.66 seconds to hit the ground.

Explanation:

In this problem, the horizontal wind that interferes with the ball doesn't affect the time in which the balls hit the ground.  

To find this time this is the equation for kinetic energy:  

$d=\frac{1}{2}gt^2$

Where d is the distance, g is the acceleration of gravity and t is the time that you have to find, you can solve this equation to find t:  

$t=\sqrt{\frac{2d}{g}}$

Replace the values:

$t=\sqrt{\frac{2(157.2m)}{9.81/s}}$

t=5.66 s