Question

A pile driver falls freely from a height of 4.50 m above a pile. What is its velocity as it hits the pile? Remember to include your data, equation, and work when solving this problem.

Answer 1

Answer:

9.4 m/s

Step-by-step explanation:

We are given that

Height of pile driver above a pile =h=4.5 m

Acceleration due to gravity=$g=9.8m/s^2$

According to law of conservation of energy

K.E=Potential energy

$\frac{1}{2}mv^2=mgh$

$v^2=2gh$

$v=\sqrt{2gh}$

Substitute the values

$v=\sqrt{2\times 9.8\times 4.5}$m/s

$v=9.4 m/s$

Hence, the velocity of pile driver as it hits the pile=9.4 m/s