posted by Sangita on .
A 3.79 kg ball is dropped from the roof of
a building 163.8 m high. While the ball is
falling to Earth, a horizontal wind exerts a
constant force of 11.5 N on the ball. It takes 5.77 second to hit the ground.
How far from the building does the ball hit
Answer in units of m.
The horizontal wind will not affect the time it takes to fall. Get that time (T) from the equation
(1/2) gT^2 = 163.8 m
Whoops, they already told you the time to fall, 5.77 s. It agrees with the above equation.
The sideways acceleration of the ball is
a_x = F/m = 3.03 m/s^2
The horizontal displacement at the ground is
X = (1/2)*a_x*T^2