Answer:
[tex]\boxed {\boxed {\sf 750 \ Joules}}[/tex]
Step-by-step 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 speed.
We know this is a15 kilogram mass moving with a speed of 10 meters per second. Therefore:
[tex]m= 15 \ kg \\v= 10 \ m/s[/tex]
Substitute the values into the formula.
[tex]E_k=\frac{1}{2}(15 \ kg)(10 \ m/s)^2[/tex]
Solve the exponent first.
[tex]E_k=\frac{1}{2}(15 \ kg)(100 \ m^2/s^2)[/tex]
Multiply 100 m²/s²and 15 kg.
[tex]E_k=\frac{1}{2}(1500 \ kg*m^2/s^2)[/tex]
Multiply by 1/2 or divide by 2.
[tex]E_k= 750 \ kg*m^2/s^2[/tex]
[tex]E_k= 750 \ J[/tex]
The kinetic energy is 750 Joules.
