Determine the kinetic energy of a baseball whose mass is 100 grams and has a speed of 30 m/s.

To determine the kinetic energy of the baseball, we can use the formula:

KE = \frac{1}{2} mv^2

where KE represents the kinetic energy, m represents the mass of the baseball, and v represents the speed of the baseball.

Given that the mass of the baseball is 100 grams (which is equal to 0.1 kg) and the speed is 30 m/s, we can substitute these values into the formula:

KE = \frac{1}{2} (0.1 \, \text{kg}) (30 \, \text{m/s})^2

Simplifying the expression within the parentheses first:

KE = \frac{1}{2} (0.1 \, \text{kg}) (900 \, \text{m}^2/\text{s}^2)

Now, we can multiply the numbers outside the parentheses:

KE = \frac{1}{2} (0.1)(900) \, \text{kg} \, \text{m}^2/\text{s}^2

Simplifying further:

KE = 45 \, \text{kg} \, \text{m}^2/\text{s}^2
KE=45J

Answer: The kinetic energy of the baseball is 45 J