Question 1 A wooden block is attached to a spring on a frictionless horizontal s

Question

Question 1 A wooden block is attached to a spring on a frictionless horizontal surface. The wooden block is pulled to the right and released from rest at0 s. If the block reaches a maximum speed of 39.8 cm/s and oscillates with a period of 2.50 s, what is the amplitude of oscillation? 15.8 cm 15.9 cm 2.96 cm 99.5 cm Question 2 A tether ball is pulled to an angle of 6.00e and released to swing as a pendulum. If the tether b 15.0 oscillations in 19.4 s, how long is the tether? 0.415 m 0.148 m 2.02 m 0.0424 m

Explanation / Answer

a)

Maximum speed is given by

Vmax =AW

since W=2pi/T

Vmax =A(2pi/T)

Amplitude is

=>A=Vmax*T/2pi =39.8*2.5/2pi

A=15.8 cm

b)

Time period of one oscillation is

T=19.4/15=1.2933 s

since T=2pi*sqrt(L/g)

=>L=T2g/4pi2=1.29332*9.81/4pi2

L=0.415 m

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