Answer:
[tex]\boxed {\boxed {\sf 56.25 \ Joules}}[/tex]
Explanation:
Kinetic energy can be found using the following formula:
[tex]E_k=\frac{1}{2}mv^2[/tex]
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
[tex]m= 0.5 \ kg \\v= 15 \ m/s \\[/tex]
Substitute the values into the formula.
[tex]E_k=\frac{1}{2} (0.5 \ kg ) * (15 \ m/s)^2[/tex]
First, evaluate the exponent.
[tex]E_k=\frac{1}{2} (0.5 \ kg ) *(225 \ m^2/s^2)[/tex]
Multiply 0.5 kg by 225 m²/s²
[tex]E_k=\frac{1}{2}(112.5 \ kg* m^2/s^2)[/tex]
Multiply 112 kg*m²/s² by 1/2, or divide by 2.
[tex]E_k=56.25 \ kg*m^2/s^2[/tex]
[tex]E_k= 56.25 \ J[/tex]
The kinetic energy of the ball is 56.25 Joules
