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22 March, 12:48

A 2-kg box is pushed from rest to a speed of 29.7 m/s in 21 seconds. What is the power require to accelerate the box.

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Answers (2)
  1. 22 March, 13:48
    0
    594 watts

    Explanation:

    The information given is;

    Mass of the box is 2 kg

    Speed of the box is 29.7 m/s

    Time is 21 seconds

    We are required to determine the power;

    Power is given by dividing work done by time

    Power = Work done : time

    But; work done = Force * Distance

    In this case;

    Force = 2 kg * 10 N/kg

    = 20 N

    Distance = speed * time

    = 29.7 m/s * 21

    = 623.7 m

    Therefore;

    Power = (20 N * 623.7 m) : 21

    = 594 Watts

    Therefore, the power that is required to accelerate the box is 594 watts
  2. 22 March, 16:24
    0
    P = 83.16 Watt

    Explanation:

    Given dа ta:

    Mass of box = 2 Kg

    velocity of box = 29.7 m/s

    Time = 21 sec

    Power = ?

    Solution:

    Formula:

    Power = work done/time

    Now we will calculate the work done.

    W = force * distance ... (1)

    d = speed / time

    d = 29.7 m/s * 21 s

    d = 623.7 m

    Force:

    acceleration = 29.7 m/s / 21 s

    a = 1.4 m/s²

    Force = m*a

    Force = 2 kg*1.4 m/s²

    Force = 2.8 N

    Now we will put the values in equation 1.

    W = F * d

    W = 2.8 N * 623.7 m

    W = 1746.36 Nm

    Now for power:

    P = W / time

    P = 1746 Nm / 21 s

    P = 83.16 Watt
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