How much work does it take to raise a #6 kg # weight #72 m #?
The formula to know how much work is done is:-
Here in the mentioned problem, the object weighing
We will take acceleration due to gravity
The formula for Force is:-
In this problem, we see that the force is also applied in the upward direction and the displacement is also in upward direction.
This implies, that the angle between force and displacement is
Plugging in the values of displacement, force and
We use the work equation, which states that,
#F#is the force in newtons
#d#is the distance in meters
Here, the force is the weight of the box.
Weight is defined by the equation,
#m#is the mass of the object in kilograms
#g#is the gravitational acceleration, which is around #9.8 \ "m/s"^2#.
So here, the weight is,
Therefore, the work is,