Question

10J of energy is transformed when a A) Mass of 10kg moves a distance of 1m B) Mass of 10kg is given a velocity of 10m/s C) Force of 10N acts for 10se D) Force of 10N displaced a body through a distance of 1m.​

Answer 1

The correct option is D) Force of 10N displaced a body through a distance of 1m.

• This is because work is defined as the product of force and displacement in the direction of force. Mathematically, work (W) = force (F) x displacement (d) x cos(theta), where theta is the angle between the force vector and the displacement vector.

WHY ABC INCORRECT ?

• In option A, the work done would be W = force x displacement x cos(theta) = 0, since there is no force acting on the object.
• In option B, the work done would be W = (1/2) x mass x velocity^2 = 500 J, which is not equal to 10 J.
• In option C, the work done would be W = force x displacement x cos(theta) = 100 J, which is also not equal to 10 J.

In option D, the work done would be W = force x displacement x cos(theta) = 10 x 1 x cos(0) = 10 J, which is the given amount of energy. Therefore, option D is the correct answer.