Askiitians Tutor Team
Last Activity: 4 Months ago
a) In physics, work is defined as the transfer of energy that occurs when a force is applied to an object and causes it to move in the direction of the force. The formula for calculating work done on a body is:
Work = Force × Displacement × cos(θ)
Where:
Work is the amount of energy transferred or expended in doing the work, measured in joules (J).
Force is the magnitude of the force applied to the object, measured in newtons (N).
Displacement is the distance the object moves in the direction of the applied force, measured in meters (m).
θ (theta) is the angle between the force vector and the displacement vector. It represents the direction of the force with respect to the direction of motion.
b) In this case, a person with a mass of 50 kg is climbing a tower of height 72 meters. To calculate the work done, we need to determine the force applied and the displacement.
Force = mass × gravity
= 50 kg × 9.8 m/s^2 (acceleration due to gravity, approximately)
Since the person is climbing vertically, the displacement is equal to the height of the tower, which is 72 meters.
Now we can substitute these values into the formula:
Work = Force × Displacement × cos(θ)
As the person is climbing vertically, the force and displacement are in the same direction, so the angle θ between them is 0 degrees, and cos(0) = 1.
Work = (50 kg × 9.8 m/s^2) × 72 m × cos(0)
= 50 kg × 9.8 m/s^2 × 72 m × 1
= 35,280 J
Therefore, the work done by the person while climbing the tower is 35,280 joules.
