Question

worksheet: emk & egp
use the motional kinetic energy and gravitational potential energy formulas to answer the following questions - be sure to use 3 step math!!!

1. what is the moving kinetic energy of a 25kg object moving at a velocity of 5m/s?
2. what is the gravitational potential energy of a 150kg object suspended 5m above the earths surface?

Explanation:

Step1: Recall the kinetic energy formula

The formula for kinetic energy is \(E_{MK}=\frac{1}{2}mv^{2}\), where \(m = 25\space kg\) and \(v = 5\space m/s\).

Step2: Substitute the values into the formula

\(E_{MK}=\frac{1}{2}\times25\times5^{2}\)
First, calculate \(5^{2}=25\). Then, \(\frac{1}{2}\times25\times25=\frac{625}{2}= 312.5\space J\)

Step3: Recall the gravitational potential energy formula

The formula for gravitational potential energy is \(E_{GP}=mgh\), where \(m = 150\space kg\), \(g = 9.8\space m/s^{2}\) (acceleration due to gravity), and \(h = 5\space m\)

Step4: Substitute the values into the formula

\(E_{GP}=150\times9.8\times5\)
First, \(150\times5 = 750\). Then, \(750\times9.8=7350\space J\)

Answer:

1. The kinetic energy is \(312.5\space J\)
2. The gravitational potential energy is \(7350\space J\)