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28 January, 04:00

A 20.0-kg space probe fires an ion engine for 10.0 s during which time it experiences a force given by F (t) = (6.00 N/s2) t2 i. If it was originally moving in the x-direction at 40.0 m/s, what is its velocity at t = 5.00 s?

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  1. 28 January, 07:46
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    190 m/s

    Explanation:

    Acceleration = Force / mass

    a = F/m ... Equation 1

    Where F = force, m = mass of the space probe.

    Given: m = 20 kg,

    F (t) = 6.00t²

    when t = 10 s.

    F = 6.00 (10) ²

    F = 600 N

    Substituting these values into equation 1

    a = 600/20²

    a = 30 m/s.

    But.

    a = (v-u) / t

    Where a = acceleration of the body, v = final velocity of the body, u = initial velocity of the body, t = time.

    making v the subject of the equation,

    v = u+at ... Equation 2

    Given: a = 30 m/s², u = 40 m/s, t = 5.00 s.

    v = 40 + 30 (5)

    v = 40+150

    v = 190 m/s

    Thus the velocity of the space probe = 190 m/s
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