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13 February, 09:17

A 12kW motor moves a 1000kg car at what constant velocity, if the motor applies a force that equals 2000N? Also, of the motor for 2.75s, what amount of work has the motor done on the car. (Show working out)

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  1. 13 February, 13:08
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    Given data

    Power = 12 KW,

    mass (m) = 1000 kg,

    Force (F) = 2000 N,

    time (t) = 2.75 s

    Determine

    1. Velocity (v) = ?

    2. Work (W) = ?

    We know that Power (P) = Rate of doing work

    = (Work : time) KW

    Also we know that Work = F * displacement

    Force = m. a N

    => 2000 = 1000 * a

    => a = 2 m/s²

    And we know that acceleration (a) = rate of change of velocity

    = v : t

    => v = a * t

    = 2 * 2.75

    = 5.5 m/s

    Now determine the Power P = Work done : time

    12 = W : 2.75

    W = 12 * 2.75

    = 33 KJ

    = 33000 J
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