NEETPhysicsLaws of Motion
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): A box placed on a flatbed truck will slide forward relative to the truck if the truck accelerates forward with an acceleration greater than _s g . Reason (R): The maximum static friction between the box and the truck floor cannot provide an acceleration greater than _s g to the box. In the light of
Options
- ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
- BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
- C(A) is correct but (R) is not correct
- D(A) is not correct but (R) is correct
Correct answer
D. (A) is not correct but (R) is correct
Step-by-step solution
Assertion (A) is false. When the truck accelerates forward, the pseudo force on the box acts in the backward direction relative to the truck. If the truck's acceleration exceeds the maximum acceleration that static friction can provide, the box will slide backward, not forward, relative to the truck. Reason (R) is true. The only horizontal force acting on the box in the ground frame is static friction. The maximum static friction is f_ s,max = _s mg . Therefore, the maximum acceleration it can provide to the box is