First slide

Simple hormonic motion

Question

A particle of mass 0.3 kg is subjected to a force F = -kx with k = 15 N/m. What will be its initial acceleration if it is released from a point 20 cm away from the origin?

Easy

A

3 m/s²
B

5 m/s²
C

10 m/s²
D

15 m/s²

Solution

According to Newton's law, F = ma, where a is acceleration.
Given that F = -k x
$∴ ma = - kx or a = - kx / m$
or $a = \frac{15 \times (20 \times 10^{- 2})}{0 \cdot 3} = 10 m / s^{2} .$

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