Question

A 82-kg skydiver has a speed of 40 m/s at an altitude of 490 m above the ground. Calculate the total mechanical energy of the skydiver.

Answer 1

`ME=459,364J`

Step-by-step explanation:

Mechanical Energy=Potential Energy+ kinetic Energy

`m=82kg,g=9.8N/kg,h=490m,v=40m/s`

To calculate Kinetic Energy:-

`KE=\frac{1}[2}mv^2\\=(1)/(2)*82kg *(40m/s)^2\\=65600J`

To calculate Potential Energy:-

`PE=mgh\\=82kg *9.8N/kg *490\\=393764`

therefore,

`ME=KE+PE\\=65600+393764\\=459364J`

The skydiver's total mechanical energy is 459365J