The free-fall acceleration on Mars is 3.7 m/s2. (a) What length pendulum has a p

Question

The free-fall acceleration on Mars is 3.7 m/s2. (a) What length pendulum has a period of 2.2-s on Earth? Your incorrect answer may have resulted from roundoff error. Make sure you keep extra significant figures in intermediate steps of your calculation. cm (b) What length pendulum would have a 2.2-s period on Mars? cm An object is suspended from a spring with force constant 10 N/m. (c) Find the mass suspended from this spring that would result in a 2.2 s period on Earth. kg (d) Find the mass suspended from this spring that would result in a 2.2 s period on Mars. kg

Explanation / Answer

Part A)

Apply T = 2pi (sqrt l/g)

2.2 = 2pi sqrt(l/9.8)

l = 1.20 m

Part B)

Apply T = 2pi (sqrt l/g)

2.2 = 2pi sqrt(l/3.7)

l = .454 m

Part C)

T = 2pi sqrt (m/k)

2.2 = 2pi sqrt(m/10)

m = 1.23 kg

Part D)

Gravity does not affect the spring, same answer as part C

T = 2pi sqrt (m/k)

2.2 = 2pi sqrt(m/10)

m = 1.23 kg

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