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The net force on a car is zero in both the horizontal and vertical directions. Which two situations could be true about the motion of the car?

Question

The net force on a car is zero in both the horizontal and vertical directions. Which two situations could be true about the motion of the car?

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Solution

The two situations that could be true about the motion of the car when the net force on it is zero in both the horizontal and vertical directions are:

  1. The car is at rest: If the car is not moving, then there is no net force acting on it. This is because the forces that are acting on it (like gravity and the normal force from the ground) are balanced, resulting in a net force of zero.

  2. The car is moving at a constant velocity: If the car is moving but the speed and direction of its motion are not changing, then the net force on it is also zero. This is because, according to Newton's first law of motion, an object in motion will stay in motion at a constant velocity unless acted upon by a net external force. So if the car is moving at a constant velocity, the forces acting on it (like friction and air resistance) must be balanced, resulting in a net force of zero.

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