Question

A 200-kg boulder has 39,200 joules of gravitational potential energy. What is the height of the boulder's location?

p.s. help on how to calculate these types of problems would be very appreciated!

Answer 1

We have that the gravitational energy is given by: U=mgh where m is the mass of the object (in kg), g is the gravitational acceleration and h is the height of the object (in meters). Hence, h=U/(m*g) where g=9.8 m/s^2. Thus, h=20 m if we substitute.Similarly, substituting in b, we have that the height of the model plane is 10 m. The kinetic energy is given by: K= where u is the speed of the object. Hence, solving for u we have u=. Substituting, we have that u=5m/s.

Explanation:

Answer 2

h=20 m

Explanation:

Hello

The gravitational potential energy of an object is the 'stored energy' that the object has by being at that height,the equation for gravitational potential energy is
`E_(g)`=mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 on Earth) and h is the height

`E_(g) =mgh\\E_(g) =39200 J\\39200 J= mgh\\\\`

let´s isolate h

`h=(39200 J)/(mg) \\h=(39200 J)/(200kg*9.8 ((m)/(s^(2) )) )\\ \\h=(39200 m)/(1960) \\h=20 m`

Have a great day