Calculate the acceleration due to gravity at an altitude of eight times the radi

Question

Calculate the acceleration due to gravity at an altitude of eight times the radius of the earth. Leave your answer as a factor for g.
The period of oscillation for a mass-on-a-spring system is 0.16 s. If m = 4.0 kg, what is the spring constant of the spring?
A sound wave coming from a tuba has a wavelength of 1.7 m and travels to your ears at a speed of 344.63 m/s. What is the frequency of the sound you hear?
A 18.0 kg child is sitting on a playground teeter-totter, 1.7 m from the pivot. What is the minimum distance, on the other side of the pivot, such that a 221.2 N force will make the child lift off the ground?
For a wave traveling in a string, by what factor would the tension need to be increased to cause the speed of the wave to increase by a factor of two?

Explanation / Answer

a.) gh= g(re/re+8re)2= g/81

b.) T=2(m/k)

k= 6168.5

c.) f= v/= 202.72 Hz

d.)180*1.7= 221.2*x

x=1.38m

e.) v is proportional to square root of T

so T must be increased by a factor of 4

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