Final answer:
By rearranging the kinetic energy formula and solving for speed, the 0.25 kg baseball is determined to have a speed of approximately 22.8 m/s.
Step-by-step explanation:
The speed of a 0.25 kg baseball can be found by using the kinetic energy formula KE = 1/2 mv², where KE is kinetic energy, m is mass, and v is the velocity (speed). To solve for the speed, we rearrange this equation to solve for v: v = √(2KE/m). Plugging in the kinetic energy (65J) and the mass (0.25 kg), we get:
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- v = √(2 * 65J / 0.25 kg)
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- v = √(130J / 0.25 kg)
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- v = √(520J/kg)
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- v ≈ 22.8 m/s
Therefore, the speed of the baseball is approximately 22.8 m/s.