Question

For a vertical spring-mass oscillator that is moving up and down, which of the following statements are true? (More than one statement may be true.) (a) At the lowest point in the oscillation, the momentum is zero. (b) At the lowest point in the oscillation, the rate of change of the momentum is zero. (c) At the lowest point in the oscillation, $mg=k_{s}s$ (d) At the lowest point in the oscillation, $mg>k_{5}s$ (e) At the lowest point in the oscillation, $mg<k_{5}s$.

Short answer

A vertical spring-mass oscillator that is moving up and down is

option a)at the lowest point in the oscillation, the momentum is zero, and e) at the lowest point in the oscillation,$mg<k_{s}s.$

Step-by-step solution

Spring-mass system

When a mass hung on a spring is shifted, it oscillates. The quantity of mass and the stiffness of the spring determine the oscillation period. By data logging the output from a motion sensor, this experiment allows the period, displacement, velocity, and acceleration to be evaluated.

Vertical spring-mass oscillator that is moving down

Since the vertical spring-mass system is to perform a straight-line motion path, as a result, the velocity will reach zero at the lowest point in its path.

The momentum of the spring-mass system is given by,

$$\begin{gathered} P=mv \\ V=0 \\ P=0 \end{gathered}$$

Where $P$ is the momentum of spring, $m$ is the mass of the block, and $v$ is the velocity of the block.

Thus, the correct option is a) at the lowest point in the oscillation, the momentum becomes zero.