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Baseball Mass

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Baseball Mass


1. **State the problem:** We are given the kinetic energy (KE) of a baseball as 160 J and its speed as 169.1 km/h. We need to find the mass of the baseball in grams (g). 2. **Convert speed to meters per second (m/s):** $$169.1\ \text{km/h} = 169.1 \times \frac{1000}{3600} = 46.9722\ \text{m/s}$$ 3. **Recall the kinetic energy formula:** $$KE = \frac{1}{2} m v^2$$ where $m$ is mass in kilograms and $v$ is velocity in m/s. 4. **Rearrange the formula to solve for mass $m$:** $$m = \frac{2 KE}{v^2}$$ 5. **Substitute the known values:** $$m = \frac{2 \times 160}{(46.9722)^2} = \frac{320}{2205.6} \approx 0.1451\ \text{kg}$$ 6. **Convert mass from kilograms to grams:** $$0.1451\ \text{kg} = 0.1451 \times 1000 = 145.10\ \text{g}$$ **Final answer:** The mass of the baseball is approximately **145.10 g**.