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On your first trip to Planet X you happen to take along a 200gmass, a 40-cm-long

ID: 1749139 • Letter: O

Question

On your first trip to Planet X you happen to take along a 200gmass, a 40-cm-long spring, a meter stick, and a stopwatch. You'recurious about the free-fall acceleration on Planet X, whereordinary tasks seem easier than on earth, but you can't find thisinformation in your Visitor's Guide.
One night you suspend the spring from the ceiling in your roomand hang the mass from it. You find that the mass stretches thespring by 31.2 cm. You then pull the mass down 10.0 cm and releaseit. With the stopwatch you find that 10 oscillations take 14.5 s.Can you now satisfy your curiosity?
One night you suspend the spring from the ceiling in your roomand hang the mass from it. You find that the mass stretches thespring by 31.2 cm. You then pull the mass down 10.0 cm and releaseit. With the stopwatch you find that 10 oscillations take 14.5 s.Can you now satisfy your curiosity?

Explanation / Answer

m = 0.200 kg, L = 0.40 m, a = 0.312 m, T = 14.5/10 = 1.45 s k = mg/a T = 2(m/k) = 2(a/g) g = a*(2/T)2 = 5.86 m/s2

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