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Question: A 5 kg collar is attached to a spring constant 500 N m–1. It slides without friction over a horizont...

A 5 kg collar is attached to a spring constant 500 N m–1. It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10 cm and released. The maximum acceleration of the collar is

A

5 m s–2

B

10 m s–2

C

15 m s–2

D

20 m s–2

Answer

10 m s–2

Explanation

Solution

Maximum acceleration

=500Nm15 kg×0.1 m=10 m s2= \frac { 500 \mathrm { Nm } ^ { - 1 } } { 5 \mathrm {~kg} } \times 0.1 \mathrm {~m} = 10 \mathrm {~m} \mathrm {~s} ^ { - 2 }