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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 force F = -kx , where k = 15 N/m , acts on a particle of mass 0.3...

A force

F = -kx

, where

k = 15 \text{ N/m}

, acts on a particle of mass

0.3 \text{ kg}

. Determine the initial acceleration of the particle when it is released from the position

x = 20 \text{ cm}

.

Options

A $50 \text{ m/s}^2$
B $0.9 \text{ m/s}^2$
C $10 \text{ m/s}^2$
D $1000 \text{ m/s}^2$

Correct answer

C. $10 \text{ m/s}^2$

Step-by-step solution

Given

k = 15 \text{ N/m}

,

m = 0.3 \text{ kg}

, and

x = 20 \text{ cm} = 0.2 \text{ m}

.

The magnitude of the restoring force acting on the particle is given by

|F| = kx

.

Substituting the given values:

|F| = 15 \times 0.2 = 3 \text{ N}

The initial acceleration of the particle is

a = \dfrac{|F|}{m}

.

a = \dfrac{3}{0.3} = 10 \text{ m/s}^2

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