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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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  1. 10 September, 16:42
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    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
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