Question

1. what is the mass of an object that has 324 j of energy and is moving at a speed of 9 m/s?

324 = \frac{1}{2} m (9^2)

Explanation:

Step1: Recall the kinetic energy formula

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

Step2: Rearrange the formula to solve for mass

We can rewrite the formula as \(m=\frac{2K}{v^{2}}\).

Step3: Substitute the given values

Given \(K = 324\space J\) and \(v = 9\space m/s\), substitute into the formula: \(m=\frac{2\times324}{9^{2}}\).
First, calculate \(2\times324 = 648\) and \(9^{2}=81\).
Then, \(m=\frac{648}{81}\).

Step4: Calculate the mass

\(\frac{648}{81}=8\space kg\).

Answer:

\(8\space kg\)