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?

Explanation:

Step1: Identify the formula

The energy \(E\) (here it's the work done against gravity, which is gravitational potential energy) is given by the formula \(E = mgh\), where \(m\) is mass, \(g\) is the acceleration due to gravity (\(g = 9.8\space m/s^{2}\)), and \(h\) is the height. We need to solve for \(h\), so the formula can be rewritten as \(h=\frac{E}{mg}\).

Step2: Substitute the values

We know that \(E = 4942\space J\), \(m = 82\space kg\), and \(g = 9.8\space m/s^{2}\). 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 \(h\)

\(h = 6.15\space m\)

Answer:

\(6.15\space m\)