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
In the arrangement depicted in the figure, both springs are...
In the arrangement depicted in the figure, both springs are unstretched. If the block is given a displacement of and released, what will be its initial acceleration?


Options
- A opposite to the displacement
- B opposite to the displacement
- C opposite to the displacement
- D along the displacement
Correct answer
A. opposite to the displacement
Step-by-step solution
When the block is displaced by a distance from its equilibrium position, one spring gets stretched by and the other gets compressed by .
The restoring force from the first spring is in the direction opposite to the displacement.
The restoring force from the second spring is , also in the direction opposite to the displacement.
The net restoring force acting on the block is:
This net force acts opposite to the direction of displacement.
Using Newton's second law, the initial acceleration of the block is:
The direction of the acceleration is opposite to the displacement.
The restoring force from the first spring is in the direction opposite to the displacement.
The restoring force from the second spring is , also in the direction opposite to the displacement.
The net restoring force acting on the block is:
This net force acts opposite to the direction of displacement.
Using Newton's second law, the initial acceleration of the block is:
The direction of the acceleration is opposite to the displacement.