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A horizontal force of 4000 N is applied to a 1400 kg car. How long will it take the car to travel 36 meters if it started from rest?

Answer :

Final answer:

Using the known force and mass, we first calculate the acceleration of the car using Newton's second law. Then, solving the equation for displacement under constant acceleration, we find that the car will take approximately 5.0 seconds to cover a distance of 36 meters.

Explanation:

To find out how long the car takes to cover 36 meters, first, let's use Newton's second law (Force = Mass x Acceleration) to calculate the acceleration of the car:

Acceleration = Force / Mass = 4000 N / 1400 kg = 2.86 m/s²

Then, we use the formula for displacement under constant acceleration:

Displacement = Initial Velocity x Time + 0.5 x Acceleration x Time²

Since the car started from rest, the initial velocity is 0. So, the equation simplifies to:

Displacement = 0.5 x Acceleration x Time² => Time² = 2 x Displacement / Acceleration

Substitute the values into the equation to get:

Time² = 2 x 36 m / 2.86 m/s² => Time = sqrt(25.17) => Time = 5.0 seconds

Learn more about Physics of Acceleration here:

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