A 4.00kg crate is slowly lifted to a height of 1.50m.
a.How much work is done by the lifting force?
b.against gravity?
C.by gravity?
a, Work done is m*g*height
b. the work done is against gravity.
c. Because the box is lifted, the work done by gravity is negative (-mgh)
To calculate the work done by the lifting force, we can use the formula:
Work = force * distance
In this case, the lifting force is equal to the weight of the crate, which is the product of its mass and the acceleration due to gravity (9.8 m/s^2).
a. Work done by the lifting force = force * distance
= (mass * acceleration due to gravity) * distance
= (4.00 kg * 9.8 m/s^2) * 1.50 m
= 58.8 joules
The work done against gravity is equal to the negative of the work done by the lifting force because the crate is being lifted upwards, against the direction of gravity.
b. Work done against gravity = -58.8 joules
c. The work done by gravity is equal to the negative of the work done by the lifting force.
Work done by gravity = - (Work done by lifting force)
= -(-58.8 joules)
= 58.8 joules
So, the work done by gravity is 58.8 joules.