Question

Which statement describes the velocity of a mass oscillating on a spring?

The velocity is constant throughout the motion.
The velocity remains the same throughout the motion.
The velocity is zero at the maximum displacement.
The velocity is greatest at the maximum position.
The velocity is least at the equilibrium position.

Answer 1

The velocity of a mass oscillating on a spring will show that the velocity is constant throughout the motion.

Answer 2

The velocity is zero at the maximum displacement.

Step-by-step explanation:

As we know that in oscillations on a spring the force due to spring is always towards the mean position.

So here when an object is connected with a spring the force is given by

F = - kx

now here as object will move away from the mean position then it's velocity will continuously decreases and it comes to rest at its maximum displacement position.

Then after that its spring force will pull it towards the mean position and the mass will accelerate to come at its mean position. So here the velocity of that mass will be maximum when it will reach to its mean position.

So here correct answer will be

The velocity is zero at the maximum displacement.