Question 1 ball attached tospring an a fr ctianless horzontal surface. The ball

Question

Question 1 ball attached tospring an a fr ctianless horzontal surface. The ball ts puilled to the right and releazed from rest att-s. If the ball reaches maximum speed of 323 cadoscillates wih a peried of 2.00 s what is the balls valocity at -0.700 -31.0cm/s 7.17 Cmis -19.2 cm/s 10.2 cmus tian amp tuco Question2 3 7 Nrm whats the speed of the air track glicer at a position equal tc halfortne osci ir rock der is ata ched to spring Thc g dar i,,ushed f om rest and almost instantaneous y reac ca specc of 1.47 m/s. fthc spring constant in ne spring is 1.35 kg 1.27 m/s 1.20 m/ 1.62 m/s 1.64 mis Question 3 A pendulum has its amplitude of oscil aton decrease to 269ofits orieinal value. if it takes 17.5 s for this to occur what is the time constant for the pendulum? #2.655 13.35 666 s 26.75

Explanation / Answer

v_max = 38.3 cm/s

T = 2 s

w = 2 pi / T = 3.14 rad/s

v_max = A w

A = 12.2 cm

x = 12.2 cos( pi t )

v = - 38.3 sin(pi t)

v = - 38.3 sin(0.7pi) = - 31 m/s .......Ans

2. m v'^2 / 2 = (3 / 4) (m (1.47^2 )/ 2)

v' = 1.27 m/s

3.
A = A0 e^(-t/T)

0.269 = e^(-17.5 / T )

T = 13.3 sec

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