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Chapter 4: Q13Q (page 165)

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?

Short Answer

Expert verified

The magnitude of the momentum of mass is largest when the magnitude of the net force acting on the mass is largest.

Step by step solution

01

Spring-mass system

A spring-mass system is a spring system with a block hanging or connected at the free end. Any item executing a basic harmonic motion may generally be found using the spring-mass system.

02

Explanation

Expression for the spring-mass system

mx+kx=Fs

Where is the mass of an object, x is the displacement of an object, k is the stiffness of spring, and Fs is the force applied to the object.

As the above equation shows, as the momentum of mass is largest, then the net force acting on the mass is largest.

Thus, in a spring-mass oscillator, the magnitude of the momentum of mass is largest when the magnitude of the net force acting on the mass is largest.

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Most popular questions from this chapter

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 ?

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