A 450 Kg Sports Car Accelerates From Rest

A 450 kg sports car accelerates from rest to 100 km/h in 7.2 seconds. The average force required to achieve this is 61.1 N.

The force required to accelerate a body is given by the equation:

F = ma

Where F is the force required (in Newtons) m is the mass of the body (in kg) and a is the acceleration (in m/s^2).

To calculate the force required to accelerate a 450 kg sports car from rest to 100 km/h in 7.2 seconds we first need to convert the velocity from km/h to m/s. 100 km/h is equivalent to 27.78 m/s. The acceleration is then calculated to be 3.75 m/s^2. Plugging these values into the equation above gives us a force required of 1688.75 N.

This is the average force required over the duration of the acceleration. The instantaneous force required would be higher at the beginning of the acceleration and lower at the end. The reason for this is that the car starts from rest and so the initial force required to overcome the inertia of the car is higher than the force required to maintain the car’s velocity once it is moving.

The force required to accelerate a car is directly proportional to the car’s mass. This means that all else being equal a heavier car will require a greater force to achieve the same acceleration as a lighter car.

The force required to accelerate a car is also directly proportional to the square of the acceleration. This means that all else being equal a car that is accelerating twice as fast will require four times the force of a car that is accelerating at half the speed.

How much does the car weigh?

450 kg

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How much force is required to Accelerate the car?

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What is the car’s velocity after 7 seconds?

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