A car of mass 1000 kg accelerates from rest to a speed of 20 m/s in 10 seconds.

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Question: A car of mass 1000 kg accelerates from rest to a speed of 20 m/s in 10 seconds. What is the net force acting on the car? (2000)

Options:

Correct Answer: 200 N

Solution:

Acceleration a = (final speed - initial speed) / time = (20 m/s - 0) / 10 s = 2 m/s². Net force F = ma = 1000 kg * 2 m/s² = 2000 N.

A car of mass 1000 kg accelerates from rest to a speed of 20 m/s in 10 seconds. What is the net force acting on the car? (2000)

A car of mass 1000 kg accelerates from rest to a speed of 20 m/s in 10 seconds. What is the net force acting on the car? (2000)

Step 1: Identify the mass of the car, which is 1000 kg.
Step 2: Determine the initial speed of the car, which is 0 m/s (since it starts from rest).
Step 3: Identify the final speed of the car, which is 20 m/s.
Step 4: Determine the time taken to reach the final speed, which is 10 seconds.
Step 5: Calculate the acceleration using the formula: acceleration (a) = (final speed - initial speed) / time.
Step 6: Plug in the values: a = (20 m/s - 0 m/s) / 10 s = 2 m/s².
Step 7: Use the formula for net force: net force (F) = mass (m) * acceleration (a).
Step 8: Plug in the values: F = 1000 kg * 2 m/s² = 2000 N.

Newton's Second Law of Motion – The relationship between force, mass, and acceleration, expressed as F = ma.
Acceleration Calculation – Determining acceleration using the change in velocity over time.