Answer :

To find the velocity of the baseball, we can use the formula for kinetic energy. Kinetic energy (KE) is given by the equation:

[tex]\[ KE = \frac{1}{2} \times \text{mass} \times \text{velocity}^2 \][/tex]

We are provided with the kinetic energy (118 J) and the mass of the baseball (0.150 kg). We need to find the velocity.

Let's follow these steps:

1. Rearrange the formula to solve for velocity squared:

[tex]\[ \text{velocity}^2 = \frac{2 \times KE}{\text{mass}} \][/tex]

2. Substitute the known values into the equation:

[tex]\[ \text{velocity}^2 = \frac{2 \times 118 \, \text{J}}{0.150 \, \text{kg}} \][/tex]

3. Calculate velocity squared:

[tex]\[ \text{velocity}^2 = \frac{236}{0.150} = 1573.3333 \, \text{m}^2/\text{s}^2 \][/tex]

4. Find the velocity by taking the square root of velocity squared:

[tex]\[ \text{velocity} = \sqrt{1573.3333} \][/tex]

[tex]\[ \text{velocity} \approx 39.67 \, \text{m/s} \][/tex]

Therefore, the velocity of the baseball is approximately [tex]\( 39.67 \, \text{m/s} \)[/tex].

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Rewritten by : Barada