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17 September, 19:14

A car of mass 2000 kg is thrusted forward with an engine force of 2000 N and a total frictional

force of 1000 N, if the initial speed of the car is 25 m/s, calculate the speed of the car once it

has moved 1000 m

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Answers (1)
  1. 17 September, 19:28
    0
    40.3 m/s

    Explanation:

    We'll begin by calculating the resultant force.

    Resultant force = 2000 - 1000 = 1000N

    Next we shall determine the acceleration of the car. This is illustrated below:

    Mass of the car = 2000kg

    Resultant Force = 1000N

    Acceleration =.?

    Resultant Force = Mass x Acceleration

    1000 = 2000 x Acceleration

    Divide both side by 2000

    Acceleration = 1000/2000

    Acceleration = 0.5m/s²

    Finally, we shall determine velocity of the car when it has moved 1000m.

    Initial velocity (u) = 25m/s

    Acceleration (a) = 0.5m/s²

    Distance (s) = 1000m

    Final velocity (v) = ... ?

    Applying the formula v² = u² + 2as we can obtain the velocity of the car at 1000m as follow:

    v² = u² + 2as

    v² = 25² + 2 (0.5 x 1000)

    v² = 625 + 2 (500)

    v² = 625 + 1000

    v² = 1625

    Take the square root of both side

    v = √1625

    v = 40.3 m/s

    Therefore, the speed of the car when it has moved 1000m is 40.3 m/s
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