What is the mass of a baseball that has a kinetic energy of 105 J and is traveling at 10 m/s?​

Explanation:

Kinetic energy is the energy an object possesses due to motion. The formula 1/2 the product of mass and the squared velocity.

We know the baseball's kinetic energy is 105 Joules. It is also traveling at a velocity of 10 meters per second. `

First, convert the units of Joules to make unit cancellation easier later in the problem. 1 Joule (J) is equal to 1 kilogram square meter per square second (kg*m²/s²). The baseball's kinetic energy of 105 J is equal to 105 kg*m²/s².

Now we know 2 values:

Substitute these values into the formula.

Now we need to solve for m, the mass. Solve the exponent.

Multiply on the right side.

The variable, m, is being multiplied by 50 square meters per square second. The opposite of multiplication is division, so we divide both sides by that value.

The units of square meter per square second will cancel out.

The mass of the baseball is 2.1 kilograms.