Is the ball's height the same on Earth and Mars?

In summary, the conversation discusses the law of conservation of energy and its application to a ball being dropped on Earth and Mars. The participants also consider the possibility of proving this law mathematically.
  • #1
sub7
1
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Hi,
I understand that if a ball is dropped on Earth and dropped on mars, the ball will reach the same height on both planets thanks the law of conservation of energy. Can anyone prove this mathematically?
Thanks in advance
 
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  • #3
Welcome to PF!

Conservation of energy is about as simple as physical laws get: x=x. How you prove it I guess depends on how detailed you want to be, but no matter what you do, everything in it cancels-out to x=x.
 

Related to Is the ball's height the same on Earth and Mars?

1. How does gravity affect the bounce of a ball on Mars versus Earth?

The gravity on Mars is about 38% of the gravity on Earth. This means that a ball will bounce higher and for a longer period of time on Mars compared to Earth. This is due to the fact that the force of gravity pulling the ball back towards the ground is weaker on Mars.

2. Is the surface of Mars different from Earth, and how does it affect ball bounce?

Yes, the surface of Mars is different from Earth. Mars has a much thinner atmosphere and a rougher surface with more rocks and craters. This can affect the bounce of a ball by causing it to bounce in different directions or to lose energy as it bounces.

3. Can the temperature on Mars impact the bounce of a ball?

Yes, the temperature on Mars can impact the bounce of a ball. On Mars, temperatures can range from -225°F to 70°F, which is much colder than Earth's temperature range. This can cause the ball to become more rigid and reduce its bounce height and distance.

4. How does the size and weight of the ball affect its bounce on Mars versus Earth?

The size and weight of the ball can affect its bounce on both Mars and Earth. On Mars, the weaker gravity means that a heavier ball will bounce higher and for longer compared to a lighter ball. However, the rougher surface of Mars may cause a heavier ball to bounce less compared to a lighter ball.

5. Can the bounce of a ball on Mars give us any information about the planet's surface?

Yes, the bounce of a ball on Mars can give us some information about the planet's surface. By observing how the ball bounces and the distance it travels, we can get an idea of the surface texture and roughness of the terrain. This can be useful in studying the geological features of Mars.

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