If a 2 kg ball is at the edge of a 40 meter cliff and falls off, how much kinetic energy will the ball have when it hits the ground?

m = mass of the ball at the edge of the cliff = 2 kg

h = height of the cliff from where the ball falls off = 40 m

g = acceleration due to gravity = 9.8 m/s²

gravitational potential energy of the ball at the top of the cliff is given as

PE = mgh

inserting the above values in the formula

PE = (2) (9.8) (40)

PE = 784 J

KE = kinetic energy of the ball as hits the ground.

initially at the top of cliff , the ball has no kinetic energy and only potential energy. as the ball falls down the cliff , the speed of ball increase which increases the kinetic energy and potential energy decrease by same amount as the height above the ground decrease.

using conservation of energy

kinetic energy of ball as it hits the ground = Potential energy of the ball at the top of cliff

KE = PE

KE = 784 J

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.