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Chapter 4: Q14Q (page 165)

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=kss (d) At the lowest point in the oscillation, mg>k5s (e) At the lowest point in the oscillation, mg<k5s.

Short Answer

Expert verified

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<kss.

Step by step solution

01

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.

02

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,

P=mvV=0P=0

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.

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Most popular questions from this chapter

You drag a block across a table while a friend presses down on the block. The coefficient of friction between the table and the block is 0.6. The vertical component of the force exerted by the table on the block is 190N. How big is the horizontal component of the force exerted by the table on the block?

The period of a particular spring-mass oscillator is 1 when the amplitude is5cm . (a) what would be the period if we doubled the mass? (b) What would be the period if we replaced the original spring with a spring that is twice as stiff (keeping the original mass)? (c) What would be the period if we cut the original spring in half and use just one of the pieces (keeping the original mass)? (d) What would be the period if we increased the amplitude of the original system to10cm , so that the total distance traveled in one period is twice as large? (e) What would be the period if we took the original system to a massive planet whereg=25N/kg ?

In a spring-mass oscillator, when is the magnitude of momentum of the mass largest: when the magnitude of the net force acting on the mass is largest, or when the magnitude of the net force acting on the mass is smallest?

A spring has stiffness ks. You cut the spring in half. What is the stiffness of the half-spring?

(a) 2ks,

(b) ks,

(c) ks/2

Approximately what is the radius of a copper atom? Is it 1×10-15m, 1×10-12m, 1×10-10m, 1×10-8m, or 1×10-6m?
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