A 8.0×104kgspaceship is at rest in deep space. Its thrusters provide a force of 1200kN. The spaceship fires its thrusters for 20s, then cost

Question

A 8.0×104kgspaceship is at rest in deep space. Its thrusters provide a force of 1200kN. The spaceship fires its thrusters for 20s, then costs for 12km. How long does it take the spaceship to coast this distance

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Cherry 4 years 2021-08-25T09:49:26+00:00 1 Answers 490 views 0

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  1. phucdien
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    2021-08-25T09:50:27+00:00
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    Answer:

    Time = 40 s

    It will take the spaceship 40s to coast that distance.

    Explanation:

    Using the impulse momentum equation;

    Impulse = change in momentum

    Ft = m(∆v) ……..1

    Given;

    Force F = 1200kN

    time of action t = 20s

    Mass of spaceship m = 8.0×10^4 kg

    ∆v = change in velocity

    Substituting the values into equation 1;

    1200kN × 20s =8.0×10^4 kg × ∆v

    ∆v = 1200000×20/80000

    ∆v = 300 m/s

    Since it was initially at rest, V0 = 0

    Final velocity V2 = 300 + 0

    V2 = 300m/s

    Time To travel 12 km,

    Time = distance/speed

    Distance = 12 km = 12000m

    Speed = 300m/s

    Time = 12000/300

    Time = 40 s

    It will take the spaceship 40s to coast that distance.

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