To measure the acceleration due to gravity on a distant planet, an astronaut hangs a 0.070-kg ball from the end of a wire. The wire has a length of 1.5 m and a linear density of 3.10 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 0.078 s. The mass of the wire is negligible compared to the mass of the ball. Determine the acceleration due to gravity.

Question

Physics

Spookey

10 September, 13:36

To measure the acceleration due to gravity on a distant planet, an astronaut hangs a 0.070-kg ball from the end of a wire. The wire has a length of 1.5 m and a linear density of 3.10 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 0.078 s. The mass of the wire is negligible compared to the mass of the ball. Determine the acceleration due to gravity.

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Answers (1)

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Ladybug · Answer 1

g = 1.64m/s²

Explanation:

1.5m in 0.078s

V = 15 / 0.078

= 19.23m/s

Tension = mg

μ = 3.10 * 10⁻⁴

T = V²μ

mg = V²μ

g = V²μ / m

g = ((19.23) ² (3.10 * 10⁻⁴)) / (0.070)

g = 1.64m/s²