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How much kinetic energy does a 2000 gram ball have the instant before it hits the ground after falling from a height of 6 meters?

Respuesta :

Answer:

117.6J

Explanation:

Given parameters:

Mass of ball  = 2000g

Height = 6meters

Unknown:

Kinetic energy before it comes to rest = ?

Solution:

The potential energy of a body is the energy at rest of a such a body. It is given as:

  P.E  = mgh

The kinetic energy is the energy due to the motion of a body;

   K.E  = [tex]\frac{1}{2}[/tex] m v²

  m is the mass

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

  h is the height

   v is the velocity

According to the conservation of energy,

 maximum kinetic energy when the ball will be just about to hit the ground = Maximum potential energy

 At the point where ball is about to hit the ground;

         K.E  = P.E

        convert the mass to kg = 2kg

         K.E  = mgh = 2kg x 6m x 9.8 = 117.6J