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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Newton's Laws of Motion

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Newton's Laws of Motion

A smooth wedge A is secured inside a chamber suspended from a fixed...

A smooth wedge AA is secured inside a chamber suspended from a fixed ceiling near the earth's surface. A block BB positioned at the top of the wedge requires a time TT to slide down the wedge's length. If the block is placed at the top of the wedge and the cable holding the chamber is snapped at that exact instant, the block will

Options

  1. Ajump off the wedge
  2. Bstay at the top of the wedge
  3. Crequire a time longer than TT to slide down the wedge
  4. Drequire a time shorter than TT to slide down the wedge

Correct answer

B. stay at the top of the wedge

Step-by-step solution

When the cable holding the chamber is snapped, the chamber and the wedge fall freely under gravity with a downward acceleration gg.

In the non-inertial reference frame of the freely falling wedge, a pseudo force of magnitude mgmg acts upwards on the block BB.

The effective acceleration due to gravity in the frame of the wedge is geff=g−g=0g_{eff} = g - g = 0.

Since the effective gravity is zero, the normal reaction between the block and the wedge becomes zero, and there is no force component along the incline to accelerate the block down the wedge.

As the block is placed with zero initial velocity relative to the wedge, it will experience no relative acceleration and will remain at rest with respect to the wedge.

Therefore, the block will stay at the top of the wedge.
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