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.

Question

asked Dec 5, 2021 44.4k views

1 Answer

Christiaan Janssen · Answer 1 · 2021-12-12T15:13:19+0000

Answer:

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