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.

0.00365

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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 =

0.00365

kg

SubmitMy AnswersGive Up

Incorrect; Try Again; 5 attempts remaining

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)
Here,

time period , T = 0.20 s

T = 2pi*sqrt(m/K)

0.20 = 2pi*sqrt(m/(3.6 *100))

m = 0.365 Kg

the mass m is 0.365 Kg

B)

w = 2pi/T

w = 2pi/.2

w = 31.41 rad/s

Now , A*w^2 = 12

A = 12/(31.41)^2

A = 0.0122 m

the ampilitude of displacement is 0.0122 m

C)

Fmax = m*amax

Fmax = 0.365 * 12

Fmax = 4.38 N

the maximum force is 4.38 N

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