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28 January, 14:20

An empty spacecraft weighs 250,000 N on earth and carries 700,000 N of propellant. The spacecraftlands on Mercury, where the acceleration due to gravity is 3.7 m/s2. If the craft used 2/3 of its fuelmass to get to Mercury, how much thrust (in Newtons) will be required to lift-off from the planetif the minimum thrust is equal to the spacecraft weight?

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  1. 28 January, 16:22
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    The total thrust is 182482.96 N

    Explanation:

    Given:

    empty spacecraft weight = 250000 N

    m = mass of spacecraft = 250000/9.8 = 25510.2 kg

    mass of propellant = 700000/9.8 = 71428.57 kg

    remaining mass of propellant = 71428.57 - (2/3) * 71428.57 = 23809.52 kg

    The total mass is:

    mtotal = 25510.2 + 23809.52 = 49319.72 kg

    The total thrust is:

    Ttotal = 49319.72 * 3.7 = 182482.96 N
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