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Deepak thinks the car goes further if it rolls down a steeper track. Why might the steepness of the track affect how far the car goes?

Question

Deepak thinks the car goes further if it rolls down a steeper track. Why might the steepness of the track affect how far the car goes?

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Solution

The steepness of the track could affect how far the car goes due to the principles of potential and kinetic energy. Here's a step-by-step explanation:

  1. Potential Energy: When the car is at the top of the track, it has a certain amount of potential energy due to its height. The steeper the track, the higher the car, and the more potential energy it has.

  2. Conversion to Kinetic Energy: As the car starts to roll down the track, the potential energy is converted into kinetic energy, which is the energy of motion. The more potential energy the car starts with, the more kinetic energy it can gain as it rolls down the track.

  3. Distance Traveled: The amount of kinetic energy the car has can affect how far it goes. More kinetic energy can result in a greater speed and thus a greater distance traveled before the car comes to a stop.

  4. Friction: However, it's important to note that other factors like friction between the car and the track can also affect how far the car goes. A smoother track can reduce friction and allow the car to travel further.

So, in conclusion, a steeper track can potentially make the car go further by giving it more potential energy to convert into kinetic energy, but other factors like friction can also play a significant role.

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