A body moves a distance of 10 m under the action of force F = 10N. If the work done is 25J, the angle which the force makes with the direction of motion is
Force is an interaction that changes the motion of an object, causing it to accelerate, decelerate or change direction.
Class 11 Physics covers Work, Energy, and Power, focusing on definitions, principles, calculations and applications relevant to the CBSE 2024-25 exam.
Share
In any movement of a body under the effect of a force, work is done and the amount depends upon the force, distance covered and angle between force and direction. Here it is given that a body moves 10 m under the influence of a 10 N force and the amount of work is 25 Joules.
We establish the angle made between the force and the direction of motion for us to deduce the relation between these parameters. Work done is essentially a product of force, displacement, and the cosine of the angle between them. In this context, work done here is lesser than the maximum possible work which would have occurred if the force had acted in full in the direction of motion. This means that the force is not completely aligned with the motion. A part of the force works in doing work while the other part of it is perpendicular to the motion.
From the values above, we find that the angle between the force and motion is 60 degrees. Thus, this force is partially effective in causing displacement; its directional component is the cause of the work done. This example goes to prove that the angle determines work.
Click here:
https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-5/