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A car of mass 1000 kg is moving with a velocity of 20 m/s. If the brakes are app

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Question: A car of mass 1000 kg is moving with a velocity of 20 m/s. If the brakes are applied and the car comes to a stop in 5 seconds, what is the average force applied by the brakes?

Options:

  1. 2000 N
  2. 4000 N
  3. 5000 N
  4. 6000 N

Correct Answer: 4000 N

Solution: 

The change in momentum is 1000 kg * 20 m/s = 20000 kg·m/s. The average force is F = Δp/Δt = 20000 kg·m/s / 5 s = 4000 N.

A car of mass 1000 kg is moving with a velocity of 20 m/s. If the brakes are app

Practice Questions

Q1
A car of mass 1000 kg is moving with a velocity of 20 m/s. If the brakes are applied and the car comes to a stop in 5 seconds, what is the average force applied by the brakes?
  1. 2000 N
  2. 4000 N
  3. 5000 N
  4. 6000 N

Questions & Step-by-Step Solutions

A car of mass 1000 kg is moving with a velocity of 20 m/s. If the brakes are applied and the car comes to a stop in 5 seconds, what is the average force applied by the brakes?
  • Step 1: Identify the mass of the car, which is 1000 kg.
  • Step 2: Identify the initial velocity of the car, which is 20 m/s.
  • Step 3: Calculate the initial momentum of the car using the formula: momentum = mass * velocity. So, momentum = 1000 kg * 20 m/s = 20000 kg·m/s.
  • Step 4: Determine the final velocity of the car after it stops, which is 0 m/s.
  • Step 5: Calculate the change in momentum (Δp) by subtracting the final momentum from the initial momentum. Δp = initial momentum - final momentum = 20000 kg·m/s - 0 kg·m/s = 20000 kg·m/s.
  • Step 6: Identify the time taken to stop the car, which is 5 seconds.
  • Step 7: Calculate the average force (F) applied by the brakes using the formula: F = Δp / Δt. So, F = 20000 kg·m/s / 5 s = 4000 N.
  • Momentum – Momentum is the product of mass and velocity, representing the quantity of motion an object has.
  • Average Force – Average force can be calculated using the change in momentum over the time interval during which the change occurs.
  • Newton's Second Law – The average force applied to an object is equal to the rate of change of momentum of that object.
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