## 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

Question

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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1 year 2021-08-30T13:54:02+00:00 1 Answers 7 views 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