Question

an object has a velocity of 8 m/s and a kinetic energy of 480 j. what is the mass of the object? (formula: ke = \frac{1}{2}mv^{2}) 7.5 kg 15 kg 60 kg 120 kg

Explanation:

Step1: Rearrange the kinetic energy formula for mass

The formula for kinetic energy is \(KE=\frac{1}{2}mv^{2}\). Rearranging for \(m\) gives \(m = \frac{2KE}{v^{2}}\).

Step2: Substitute the given values into the formula

Given \(KE = 480\ J\) and \(v=8\ m/s\). Substitute into \(m=\frac{2\times480}{8^{2}}\).
First calculate \(8^{2}=64\), then \(2\times480 = 960\). So \(m=\frac{960}{64}\).

Step3: Calculate the value of \(m\)

\(\frac{960}{64}=15\).

Answer:

15 kg