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If a car is moving at a speed of 20 m/s and the coefficient of friction between

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Question: If a car is moving at a speed of 20 m/s and the coefficient of friction between the tires and the road is 0.7, what is the maximum deceleration the car can achieve?

Options:

  1. 14.7 m/s²
  2. 19.6 m/s²
  3. 9.81 m/s²
  4. 7.0 m/s²

Correct Answer: 14.7 m/s²

Solution:

The maximum deceleration a car can achieve is given by a = μg, where g = 9.81 m/s². Thus, a = 0.7 * 9.81 m/s² ≈ 6.87 m/s².

If a car is moving at a speed of 20 m/s and the coefficient of friction between

Practice Questions

Q1
If a car is moving at a speed of 20 m/s and the coefficient of friction between the tires and the road is 0.7, what is the maximum deceleration the car can achieve?
  1. 14.7 m/s²
  2. 19.6 m/s²
  3. 9.81 m/s²
  4. 7.0 m/s²

Questions & Step-by-Step Solutions

If a car is moving at a speed of 20 m/s and the coefficient of friction between the tires and the road is 0.7, what is the maximum deceleration the car can achieve?
  • Step 1: Identify the coefficient of friction (μ) given in the problem, which is 0.7.
  • Step 2: Recognize that the formula for maximum deceleration (a) is a = μg, where g is the acceleration due to gravity.
  • Step 3: Know that the value of g (acceleration due to gravity) is approximately 9.81 m/s².
  • Step 4: Substitute the values into the formula: a = 0.7 * 9.81 m/s².
  • Step 5: Calculate the result: a = 0.7 * 9.81 = 6.87 m/s².
  • Step 6: Conclude that the maximum deceleration the car can achieve is approximately 6.87 m/s².
  • Friction and Deceleration – Understanding how the coefficient of friction relates to the maximum deceleration a vehicle can achieve.
  • Newton's Laws of Motion – Applying Newton's second law to relate force, mass, and acceleration.
  • Gravitational Acceleration – Recognizing the standard value of gravitational acceleration (g = 9.81 m/s²) in calculations.
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