On a frictionless, horizontal air track, a glider oscillates at the end of an id

Question

On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force constant 3.60N/cm . The graph in the figure (Figure 1) shows the acceleration of the glider as a function of time.

Part A

Find the mass of the glider.

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Part B

Find the maximum displacement of the glider from the equilibrium point.

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Part C

Find the maximum force the spring exerts on the glider.

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Figure 1 of 1

On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force constant 3.60N/cm . The graph in the figure (Figure 1) shows the acceleration of the glider as a function of time.

Part A

Find the mass of the glider.

m = kg

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Part B

Find the maximum displacement of the glider from the equilibrium point.

A = cm

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Part C

Find the maximum force the spring exerts on the glider.

Fmax = N

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Figure 1 of 1

Explanation / Answer

A)

time period of wave=0.2seconds

W=sqrt(k/m)

2*3.14/0.2 =sqrt(k/m)

31.4=sqrt(k/m)

m=3.6/985.96

=3.65grams

=0.00365kg

B)

find average accelration of spring

actually average accelration of full cycle is zero so calculate upto halfcycle

a=W2x x=displacement

c)

F=kx

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