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A block of mass 5 g is suspended from a spring, stretched, and released to oscil

ID: 2281384 • Letter: A

Question

A block of mass 5 g is suspended from a spring, stretched, and released to oscillate. We repeat the same experiment but this time with a block of mass 20 g. Which of the following quantities change and how? (select all choices that are correct)

The frequency decreases by a factor of 2

The period decreases by a factor of 4

The spring constant increases by a factor of 4

The period increases by a factor of 2

The frequency decreases by a factor of 4

The equilibrium position moves up

The equilibrium position moves down

The frequency decreases by a factor of 2

The period decreases by a factor of 4

The spring constant increases by a factor of 4

The period increases by a factor of 2

The frequency decreases by a factor of 4

The equilibrium position moves up

The equilibrium position moves down

Explanation / Answer

here,

as w = sqrt(k/m)

then , as m2/m1 = 20/5 = 4 , w decreases by factor of 2

then correct choices are

The period increases by a factor of 2 , The frequency decreases by a factor of 2 , also , The equilibrium position moves down

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