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Directions: You must show all work (i.e. all 5 steps!) in order to receive FULL credit! 1) Juan Epstein is running to the left at \( 3.85 \mathrm{~m} / \mathrm{s} \). If he generates a momentum of \( 301 \mathrm{Kg} * \mathrm{~m} / \mathrm{s} \), what is his mass?

Ask by Chan Ross. in the United States
Mar 18,2025

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Juan's mass is approximately 78.18 kg.

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To find Juan Epstein's mass, we can use the formula for momentum, which is given by: \[ \text{Momentum} = \text{mass} \times \text{velocity} \] Given that Juan's momentum is \(301 \, \text{kg m/s}\) and his velocity is \(3.85 \, \text{m/s}\), we can rearrange the formula to solve for mass: \[ \text{mass} = \frac{\text{Momentum}}{\text{velocity}} \] Now, substituting the given values into the equation: \[ \text{mass} = \frac{301 \, \text{kg m/s}}{3.85 \, \text{m/s}} \] Calculating this gives: \[ \text{mass} = 78.16 \, \text{kg} \] Therefore, Juan Epstein's mass is approximately \(78.16 \, \text{kg}\).

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