please answer part C (( Typing please)) 2. (20 points). On a frictionless, horiz

Question

please answer part C (( Typing please))

2. (20 points). On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring with a spring constant of 75 N/m. The graph below shows the displacement of the glider as a function of time. (a) What is the glider's frequency? (b) What is the mass of the glider? (c) At what times is the glider's speed a maximum? A minimum? x (cm) 3.0 2.0 t (s) 50 1.0 -2.0 -3.0 (a) What is the glider's frequency? Angular frequency W-2pi/0.8s-7.9 Hz Frequency, f= 1/T=10.8s-13Hz (b) What is the mass of the glider? Using M-kw 2 M-1.2Kg (c) At what times is the glider's speed a maximum? A minimum?

Explanation / Answer

a) frequency f = 1/T = 1/0.8 = 1.25 Hz

b) angular frequency w = 2pif = 7.85 rad/s

w = sqrt(k/m)

m = k/w^2 = 75/7.85^2 = 1.22 kg

c) at mean position velocity is maximum

at mean position amplitude is minimum

t = T/2 = 0.8/2 = 0.4 sec

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