Question

A 0.5 kg ball was kicked and was going 15 m/s.What is the kinetic energy of the ball?

Answer 1

Answer:

$\boxed {\boxed {\sf 56.25 \ Joules}}$

Explanation:

Kinetic energy can be found using the following formula:

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

where m is the mass and v is the velocity.

The mass of the ball is 0.5 kilograms and the velocity is 15 meters per second

$m= 0.5 \ kg \\v= 15 \ m/s$

Substitute the values into the formula.

$E_k=\frac{1}{2} (0.5 \ kg ) * (15 \ m/s)^2$

First, evaluate the exponent.

• (15 m/s)²= (15 m/s) * (15 m/s) = 225 m²/s²

$E_k=\frac{1}{2} (0.5 \ kg ) *(225 \ m^2/s^2)$

Multiply 0.5 kg by  225 m²/s²

$E_k=\frac{1}{2}(112.5 \ kg* m^2/s^2)$

Multiply 112 kg*m²/s² by 1/2, or divide by 2.

$E_k=56.25 \ kg*m^2/s^2$

• 1 kg*m²/s² is equal to 1 Joule
• Therefore, our answer of 56.25 kg*m²/s² is equal to 56.25 Joules.

$E_k= 56.25 \ J$

The kinetic energy of the ball is 56.25 Joules