Question

A 330 g air-track glider attached to a spring with spring constant 11 N/m is sitting...

A 330 g air-track glider attached to a spring with spring constant 11 N/m is sitting at rest on a frictionless air track. A 330 g glider is pushed toward it from the far end of the track at a speed of 120 cm/s . It collides with and sticks to the 330g glider.

What is the amplitude of the subsequent oscillations?

What is their period?

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Answer #1

a)

By Conservation of momentum

M1V1+M2V2=(M1+M2)V

330*0+330*1.2=(330+330)V

V=0.6 m/s

angular frequency

W=sqrt(K/M)=sqrt(11/(0.33+0.33))

W=4.082 rad/s

since Vmax=AW

A=0.6/4.082

A=0.147 m or 14.7 cm

b)

Period

T=2pi/W =2pi/4.082

T=1.539 s=1.54 s(approx)

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