Question

1. the world record pole vaulter had 4,942 j of energy when he achieved the record. if he had a mass of 82 kg, how high is the record?

knowns
unknown
equation
work
answer with unit

Explanation:

Step1: Identify the formula

The formula for gravitational potential energy is \(W = mgh\), where \(W\) is the energy, \(m\) is the mass, \(g\) is the acceleration due to gravity (\(g = 9.8\ m/s^{2}\)), and \(h\) is the height. We need to solve for \(h\), so we can rewrite the formula as \(h=\frac{W}{mg}\).

Step2: Substitute the known values

Given \(W = 4942\ J\), \(m = 82\ kg\), and \(g = 9.8\ m/s^{2}\). Substitute these values into the formula: \(h=\frac{4942}{82\times9.8}\).
First, calculate \(82\times9.8 = 803.6\).
Then, \(h=\frac{4942}{803.6}\).

Step3: Calculate the value of \(h\)

\(h=\frac{4942}{803.6}=6.15\ m\)

Answer:

\(6.15\ m\)