Choose the correct options A force F = (0.5x + 12) N acts on a particle. If x is in metres, calculate the work done by the force during the displcement of the particle from x= 0 to x = 4 m

A force F_(y)=(3x+2)" N" is acting on a body. The work done by this force if it tends to displace the body from x = 0 m to x = 4 m will be

The displacement x of a particle moving in one dimension under the action of a constant force is related to the time t by the equation t = sqrtx + 3 , where x is in metre and t is in second. The work done by the force in the first 6 second is

When a force of 30 N acts on a body, the body is displaced by 10 m in the direction inclined at 60^@ to the force. Find the work done by the force.

While decreasing linearly from 5 N to 3 N, a force displaces an object from 3 m to 5 m. Calculate the work done by this force during this displacement.

A time dependent force F=6t acts on a particle of mass 1kg . If the particle starts from rest, the work done by the force during the first 1 sec. will be

A block of mass 10 kg, moving in x-direction with a constant speed of 10ms^(-1) , is subjected to a retarding force F=0.1xxJ//m during its travel from x=20 m to 30 m. Its final KE will be

A force of 50 N acts on an object and displaces it by 2 m. If the force acts at an angle of 60° to the direction of its displacement, find the work done.

Solve the following examples: When a force of 20 N acts on a body, the body is displaced by 5 m. If the angle between the force and displacement is 60° , find the work done by the force.

A 1.5 kg block is initially at rest on a horizontal frictionless surface when a horizontal force in the positive direction of X-axis is applied to the block. The force is given by vec F = (4 - x ^2) hati N , where x is in metre and the initial position of the block is x = 0. The maximum kinetic energy of the block between x = 0 and x = 2.0 m is