Find all solutions to the equation.
cos²x + 2 cos x + 1 = 0 ​

A 72 kg athlete climbs a rope to a height of 12m. Calculate the increase in gravitational potential energy it has experienced.

8467.2J

Explanation:

Given parameters:

Mass of the athlete = 72kg

Height of the climb  = 12m

Unknown:

Increase in gravitational potential energy it has experienced = ?

Solution:

Gravitational potential energy is the energy due to the position of a body. It is mathematically expressed as;

  Gravitational potential energy  = m x g x h

m is the mass

g is the acceleration due to gravity  = 9.8m/s²

h is the height

   Insert the parameters and solve;

  Gravitational potential energy  = 72 x 9.8 x 12

  GPE = 8467.2J