Question

1. what is the mass of a baseball that has a kinetic energy of 105 j and is traveling at 10 m/s?

Explanation:

Step1: Recall the kinetic energy formula

The formula for kinetic energy is \(K = \frac{1}{2}mv^{2}\), where \(K\) is kinetic energy, \(m\) is mass, and \(v\) is velocity.

Step2: Rearrange the formula to solve for mass

From \(K=\frac{1}{2}mv^{2}\), we can solve for \(m\) as \(m=\frac{2K}{v^{2}}\).

Step3: Substitute the given values

Given \(K = 105\space J\) and \(v = 10\space m/s\), substitute into the formula: \(m=\frac{2\times105}{10^{2}}\).

Step4: Calculate the mass

First, calculate \(2\times105 = 210\) and \(10^{2}=100\). Then \(m=\frac{210}{100}=2.1\space kg\).

Answer:

\(2.1\space kg\)