Question

3 formula 1 point
what is the velocity of a car that has 4,232,216 j of ke and has a mass of 1,678 kg?
report your answer to 3 decimal places. your permitted error is ±0.001 j.
answer

Explanation:

Step1: Write the kinetic energy formula

The formula for kinetic energy \(KE=\frac{1}{2}mv^{2}\), where \(KE\) is kinetic energy, \(m\) is mass, and \(v\) is velocity. We need to solve for \(v\). Rearranging the formula for \(v\), we get \(v = \sqrt{\frac{2KE}{m}}\).

Step2: Substitute the given values

Given \(KE = 4232216\space J\) and \(m=1678\space kg\). Substitute these into the formula: \(v=\sqrt{\frac{2\times4232216}{1678}}\).
First, calculate \(2\times4232216 = 8464432\). Then, \(\frac{8464432}{1678}\approx5044.35757\).

Step3: Calculate the square - root

\(v=\sqrt{5044.35757}\approx71.024\)

Answer:

\(71.024\)