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A football and a stone has same mass
  • a)
    both have same inertia
  • b)
    both have same momentum
  • c)
    both have different inertia
  • d)
    both have different momentum
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A football and a stone has same massa)both have same inertiab)both hav...
Answer:

Mass and Inertia

- Mass is a measure of the amount of matter in an object, and inertia is the tendency of an object to resist any change in its motion.
- According to Newton's first law of motion, an object at rest tends to stay at rest and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an external force.
- Inertia depends on an object's mass. The greater the mass of an object, the greater its inertia.

Football and Stone

- The statement says that a football and a stone have the same mass, so they will have the same inertia.
- This means that both the football and the stone will resist any change in their motion to the same extent.
- If they are at rest, they will tend to stay at rest. If they are in motion, they will tend to stay in motion with the same speed and in the same direction.

Momentum

- Momentum is the product of an object's mass and its velocity.
- It is a vector quantity, which means it has both magnitude and direction.
- The momentum of an object can change if its mass or velocity changes, or if an external force is applied to it.

Momentum of Football and Stone

- Since the football and the stone have the same mass, their momentum will only be the same if they also have the same velocity.
- However, the statement does not provide any information about the velocities of the football and the stone.
- Therefore, we cannot conclude that they have the same momentum.

Conclusion

- The correct answer is option 'A' - both the football and the stone have the same inertia because they have the same mass.
- However, we cannot determine whether they have the same momentum without knowing their velocities.
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