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

Answer:

$ME=459,364J$

Explanation:

Mechanical Energy=Potential Energy+ kinetic Energy

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

To calculate Kinetic Energy:-

$KE=\frac{1}[2}mv^2\\=\frac{1}{2}\times82kg \times(40m/s)^2\\=65600J$

To calculate Potential Energy:-

$PE=mgh\\=82kg \times9.8N/kg \times490\\=393764$

therefore,

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

The skydiver's total mechanical energy is 459365J