To measure the acceleration due to gravity on a distant planet, an astronaut hangs a 0.055-kg ball...

Question

To measure the acceleration due to gravity on a distant planet, an astronaut hangs a 0.055-kg ball from the end of a wire. The wire has a length of 1.5 m and a linear density of 3.1  10-4
 kg/m. Using electronic equipment, the astronaut measures the time for a
 transverse pulse to travel the length of the wire and obtains a value 
of 0.085 s. The mass of the wire is negligible compared to the mass of the ball. Determine the acceleration due to gravity.

Robert · Accepted Answer

From equation of speed of wave/pulse on a wire/string, v = (T/p)^0.5.
Now,Velocity = (distance i.e. length of wire ) / time ,where length =L=1.5m. and time =t= 0.055s
T = weight of ball which results tension in the wire= m.g 
p=linear density
So, from first equation,

To measure the acceleration due to gravity on a distant planet, an astronaut hangs a 0.055-kg ball from the end of a wire. The wire has a length of 1.5 m and a linear density of 3.1 10 -4 kg/m. Using...

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