To calculate the average power delivered by
gravity, we need to first determine the work done by gravity and then divide it
by the time it takes for the object to fall. The formula for power is:
Where:
is the average power,
is the work done by gravity,
is the time.
Calculate the work done by gravity
The work done by gravity is equivalent to
the gravitational potential energy lost by the object as it falls. The formula
for work done by gravity is:
Where:
is the mass of the
object,
is the
acceleration due to gravity,
is the height the object falls.
First, we need to calculate the height the
object falls during the 4 seconds. The object falls under constant
acceleration, so we can use the equation for displacement under uniform
acceleration:
Substitute the values: