Question

A cup falls off of a table from a height of 0.75 m. What is the impact speed of the cup?

Answer 1

3.83 meters per second.

Answer 2

Answer:

The impact speed of the cup is 3.83 m/s.

Explanation:

Given that,

Height = 0.75 m

We need to calculate the impact speed of the cup

Using kinetic and potential energy

$K.E=P.E$

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

Where,

M = mass of the cup

v = velocity of cup

g = acceleration due to gravity

h = height

Put the value into the formula

$\dfrac{1}{2}v^2=gh$

$v=\sqrt{2gh}$

$v=\sqrt{2\times9.8\times0.75}$

$v=3.83\ m/s$

Hence, The impact speed of the cup is 3.83 m/s.