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NCERT Exemplar · Q19

Q.A person driving a car suddenly applies the brakes on seeing a child on the road ahead. If he is not wearing seat belt, he falls forward and hits his head against the steering wheel. Why?

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The driver's body continues moving forward at the car's original speed (Newton's first law) while the car decelerates beneath him, causing him to lurch forward into the steering wheel.

When the brakes slam on, two very different things happen to the car and to the driver's body. The car experiences a large backward force from the road through its wheels—friction between brake pads and discs converts kinetic energy into heat, and the entire vehicle slows down rapidly. But the driver's body, which was moving forward at the same speed as the car just a moment ago, receives no such direct force.

This is Newton's first law in action: an object in motion stays in motion with the same velocity unless acted upon by an external force. The driver's body wants to keep moving forward at the original speed. Without a seat belt, there is nothing to apply the necessary backward force to decelerate the body along with the car.

Let me walk through exactly what happens:

  1. Before braking: Both car and driver move forward together at velocity vv. The driver is at rest relative to the car because the seat pushes forward on his back, maintaining his speed.

  2. Brakes applied: The car experiences a large friction force FbrakeF_{\text{brake}} backward from the wheels. This gives the car a negative acceleration a=−Fbrakemcara = -\frac{F_{\text{brake}}}{m_{\text{car}}}, and it begins to slow down.

  3. The driver's body responds differently: The only contact points are the seat (beneath him) and his hands on the wheel. The seat can only push upward (normal force) and cannot pull backward. His hands exert a small force, but nowhere near enough to decelerate his entire body mass at the same rate as the car.

  4. Relative motion develops: Because the car decelerates but the driver's torso does not (or decelerates much more slowly), the driver moves forward relative to the car. From the car's reference frame—which is now a non-inertial, decelerating frame—it looks like a forward "pseudo-force" throws the driver ahead. From an inertial frame outside, it's simply that the driver keeps moving while the car slows beneath him. …

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