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A car is moving at a constant velocity of 6.0 m/s. How much net force is required to raise its velocity to 12.0 m/s in 31 seconds? Suppose the car has a mass of 151 kg.

Answer :

To calculate the net force required to increase the car's velocity from 6.0 m/s to 12.0 m/s in 31 seconds, we can use Newton's second law of motion. Given that the car has a mass of 151 kg, the net force required is 28.50 N.

According to Newton's second law of motion, the net force acting on an object is equal to the product of its mass and acceleration. In this case, the car is initially moving at a constant velocity of 6.0 m/s, and it needs to increase its velocity to 12.0 m/s in 31 seconds.

To calculate the acceleration, we can use the formula:

acceleration = (final velocity - initial velocity) / time

acceleration = (12.0 m/s - 6.0 m/s) / 31 s

acceleration = 6.0 m/s / 31 s

acceleration ≈ 0.1935 m/s²

Now, we can calculate the net force using Newton's second law:

net force = mass * acceleration

net force = 151 kg * 0.1935 m/s²

net force ≈ 29.1935 N

Rounding the value to two decimal places, we find that the net force required to raise the car's velocity to 12.0 m/s in 31 seconds is approximately 28.50 N.

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