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27 February, 19:25

A 1500 kg car accelerates uniformly from rest to reach 10.0 m sin 5.00 s. Determine (i) the average power delivered by the engine.

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Answers (2)
  1. 27 February, 20:27
    0
    1.50 * 10⁴ W

    Explanation:

    Given data

    Mass (m) : 1500 kg

    Initial speed (vi) : 0 m/s (rest)

    Final speed (vf) : 10.0 m/s

    Time (t) : 5.00 s

    First, we will calculate the acceleration (a) of the car.

    a = vf - vi / t = (10.0 m/s - 0 m/s) / 5.00 s = 2.00 m/s²

    Next, we find the associated force (F) using Newton's second law of motion.

    F = m. a = 1500 kg. 2.00 m/s² = 3.00 * 10³ N

    Then, we find the distance (d) traveled in this time.

    d = 1/2. a. t² = 1/2. 2.00 m/s². (5.00 s) ² = 25.0 m

    The work (w) exerted by the engine is:

    w = F. d = 3.00 * 10³ N. 25.0 m = 7.50 * 10⁴ J

    Finally, the average power (P) delivered by the engine is:

    P = w / t = 7.50 * 10⁴ J / 5.00 s = 1.50 * 10⁴ W
  2. 27 February, 22:57
    0
    Answer:240W

    Explanation: from kinematics x=a*t*t/2 so we can get acceleration:

    10=a*5*5/2; a = 0.8m/s2

    from newton's law we get the force that moves the car:

    F=m*a, F = 1500*0.8=1200N

    now we get the total work done by the force F:

    W = Fd = 1200*10=12000J

    The power is P=W/t:

    P = 12000J / 5s = 240W = 0.32HP
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