Identify the correct statements from the following: (A) Work done by a man in lifting a bucket out of a well…

Identify the correct statements from the following:

(A) Work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket is negative

(B) Work done by gravitational force in lifting a bucket out of a well by a rope tied to the bucket is negative

(C) Work done by friction on a body sliding down an inclined plane is positive

(D) Work done by an applied force on a body moving on a rough horizontal plane with uniform velocity is zero

(E) Work done by the air resistance on an oscillating pendulum is negative

Choose the correct answer from the options given below:

  1. B and E only
  2. A and C only
  3. B, D and E only
  4. B and D only

Solution

Work done is given by, W=Fscosθ, where θ is the angle between the force and the displacement.

case(A): Direction of force and displacement both are in the same direction and hence work done will be positive. Hence, wrong.

case(B): Direction of force and displacement both are in the opposite direction and hence work done will be negative. Hence, correct.

case(C): Direction of force and displacement both are in the opposite direction and hence work done will be negative. Hence, wrong.

case(D): Direction of force and displacement both are in the same direction and hence work done will be positive. Hence, wrong.

case(E): Direction of force and displacement both are in the opposite direction and hence work done will be negative. Hence, correct.

 

Asked in: JEE Main 2023 (29 Jan Shift 2)

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