A spring with spring constant 20 N/mN/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 2.0 cmcm and released. The ball makes 32 oscillations in 21 seconds.
what are its (a) mass and (b) maximum speed?

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Answer :

farhansiddiqui97 farhansiddiqui97 · Answer 1 · 2020-01-15T01:54:34-05:00

Answer:

m = 164-g or 0.164-kg

Vmax = 19.1-m/s

Explanation:

Given

K= 20-N/m

r = 2-cm

f = oscillation= 32

t = 21-s

Solution

w = 2*pi*f

f = N/t = 32/21 = 1.52

w = 2*pi*1.52 = 9.55

m = K/w² = 0.164-kg

Now Vmax,

Vmax = r*w

Vmax = 2(9.55)

Vmax = 19.1-m/s

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