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A car weighs 1000 kg. It is moving with a uniform velocity of 72 km/h towards a straight road. The driver suddenly presses the brakes. The car stops i
Question

A car weighs 1000 kg. It is moving with a uniform velocity of 72 km/h towards a straight road. The driver suddenly presses the brakes. The car stops in 0-2 s. The retarding force applied on the car to stop it is

A.

100 N

B.

1000 N

C.

10 kN

D.

100 kN

Correct option is D

Correct Answer: D (100 kN)

Explanation:

  1. Given Data:

    • Mass of the car: 1000 kg
    • Initial velocity: 72 km/h = 20 m/s (converted from km/h to m/s)
    • Final velocity: 0 m/s (car stops)
    • Time to stop: 0.2 seconds
  2. Step 1: Calculate Deceleration:Acceleration (a) = (Final velocity - Initial velocity) / Time
    a = (0 - 20) / 0.2 = -100 m/s²

  3. Step 2: Calculate Retarding Force:Force (F) = Mass × Acceleration
    F = 1000 × (-100) = -100,000 N

The magnitude of the retarding force is 100,000 N, which is equivalent to 100 kN.

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