A baseball is thrown with a velocity of $25m/s$ and has a momentum of $10\mathrm{kg}\cdot m/s$. What is the mass of the baseball?

• A. $4\mathrm{kg}$
• B. $2.5\mathrm{kg}$
• C. $0.25\mathrm{kg}$
• D. $0.4\mathrm{kg}$

Answer: (D)

Verified step by step guidance

1. Recall the formula for momentum, which relates momentum (p), mass (m), and velocity (v): \(p = m \times v\).
2. Identify the given values from the problem: momentum \(p = 10\ \text{kg} \cdot \text{m/s}\) and velocity \(v = 25\ \text{m/s}\).
3. Rearrange the momentum formula to solve for mass: \(m = \frac{p}{v}\).
4. Substitute the known values into the rearranged formula: \(m = \frac{10}{25}\).
5. Simplify the fraction to find the mass of the baseball.