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Draw the free body diagram of A car moving in the positive x-direction, when suddenlydecelerating applying a force to slow down the vehicle, to a complete stop

Question

Draw the free body diagram of A car moving in the positive x-direction, when suddenlydecelerating applying a force to slow down the vehicle, to a complete stop

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Solution

Drawing a free body diagram involves representing all the forces acting on a body. Here are the steps to draw the free body diagram for the car:

  1. Draw a box to represent the car. It doesn't have to be detailed, as we're focusing on the forces, not the object itself.

  2. Draw an arrow pointing downwards from the center of the box. Label this arrow "Fg", which represents the force of gravity acting on the car.

  3. Draw an arrow pointing upwards from the center of the box. Label this arrow "Fn", which represents the normal force. This is the force exerted by the ground to support the weight of the car. In this case, Fn equals Fg because the car is not accelerating vertically.

  4. Draw an arrow pointing to the left (assuming right is the positive x-direction) from the center of the box. Label this arrow "Ff", which represents the frictional force. This is the force that is slowing down the car.

  5. Draw another arrow pointing to the left from the center of the box. Label this arrow "Fa", which represents the applied force. This is the force applied by the brakes to stop the car.

  6. If there's any air resistance, it can also be represented by another arrow pointing to the left, labeled "Fr". However, in many physics problems, air resistance is often neglected unless stated otherwise.

Remember, the length of the arrows should represent the magnitude of the forces. Since the car is decelerating, the forces pointing to the left (Fa, Ff, and possibly Fr) should be longer than any forces pointing to the right, indicating they are stronger.

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One of your classmates claims that the free body diagram for the skidding car above is incorrect. They think that it should have an arrow to represent the car's inertia, which keeps it moving to the left. Evaluate this claim.

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Look at the equation below. How much force would it take for a 1000 kg car that is travelling at 30 m/s to come to a stop within 3 seconds?

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