Answer:
(a) W = 449624 J or 449.624 kJ
(b) W = 449624 J or 449.624 kJ
Explanation:
Parameters given:
mass of container = 1240 kg
vertical distance moved = 37 m
(a) The amount of work done by Tension is given as:
W = T * d
where T = Tension in the cable;
d = distance moved by container.
The Tension in the cable is given as:
T = mg - ma
where w = weight of the container
g = acceleration due to gravity
a = normal acceleration
But a = 0, since the crane is accelerating due to gravity, being lifted vertically upwards. Hence, Tension is:
=> T = 1240 * 9.8
T = 12152 N
Hence, work done by Tension:
W = T * d
W = 12152 * 37
W = 449624 J or 449.624 kJ
(b) The crane operator is lifting the container vertically upward. In this type of case, the Tension is equal to the weight or force of gravity.
This means that the work done by the Tension will be the same as the work done by the force of gravity.
Hence, work done by force of gravity = 449624 J or 449.624 kJ
