High School

If a 1500 kg car starts from rest and is subjected to a 3000 N force, what is its speed after 2 seconds?

Answer :

Final answer:

The speed of the car after 2 seconds is 4 m/s.

Explanation:

To calculate the final velocity of a car after applying a force, we can use Newton's second law of motion, which states that force = mass x acceleration. In this case, the force applied is 3000 N and the mass of the car is 1500 kg. We can find the acceleration using acceleration = force / mass. After finding the acceleration, we can use the equation final velocity = initial velocity + (acceleration x time) to find the speed after 2 seconds. Since the car starts from rest, the initial velocity is 0 m/s.

Let's plug in the values:

  • Force (F) = 3000 N
  • Mass (m) = 1500 kg
  • Acceleration (a) = F / m = 3000 N / 1500 kg = 2 m/s²
  • Initial velocity (u) = 0 m/s
  • Time (t) = 2 s

Using the equation, we have:

Final velocity (v) = u + (a x t) = 0 m/s + (2 m/s² x 2 s) = 4 m/s

Therefore, the speed of the car after 2 seconds is 4 m/s.

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