If you drop your Keys, their momentum increases as they fall. Why is the momentum of the Keys not conserved? Does this mean that the momentum of the universe increases as the keys fall? Explain.

Question

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Answer 1

Textbook Question

Chapter 9, Problem 1CQ

If you drop your Keys, their momentum increases as they fall. Why is the momentum of the Keys not conserved? Does this mean that the momentum of the universe increases as the keys fall? Explain.

Expert Solution & Answer

To determine

The reason that the momentum of the keys is not conserved and whether the momentum of the universe increases as the key falls.

Answer to Problem 1CQ

The momentum of the key is not conserved it increases due to the forces act on the key are not balanced and the momentum of the universe is conserved.

Explanation of Solution

The rate of change in momentum is called force. When the key is dropped, there are a number of forces act on the key. The first force is the weight of the key that act downwards and the other force is the gravitational force that is act between the two bodies that are the Earth and the key.

Since the mass of earth is very large compare to the mass of key. So, the attractive force tends to attract the key more strongly than the key to the earth and there is downward force that support the downward force which concludes the net momentum act on the key is in downward direction and increases due to acceleration of the key is increases so the momentum of the key is not conserved.

The momentum of the universe is conserved as the universe consists of planets and stars in which the planets move around the sun in a fixed orbit because of the equal and opposite force that makes them to move in a fixed orbit. The net amount of force acting by the universe on the earth is equal and opposite that makes the momentum of the universe conserved.

Conclusion

Therefore, the momentum of the key is not conserved as the forces acting on the key are not balanced and the momentum of the universe is conserved.

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02:47

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When a cannonball is fired, momentum is conserved for the system of cannon plus cannonball. Would momentum be conserved for the system if momentum were not a vector quantity? Explain.

Answer 2

Textbook Question

Chapter 9, Problem 1CQ

If you drop your Keys, their momentum increases as they fall. Why is the momentum of the Keys not conserved? Does this mean that the momentum of the universe increases as the keys fall? Explain.

Expert Solution & Answer

To determine

The reason that the momentum of the keys is not conserved and whether the momentum of the universe increases as the key falls.

Answer to Problem 1CQ

The momentum of the key is not conserved it increases due to the forces act on the key are not balanced and the momentum of the universe is conserved.

Explanation of Solution

The rate of change in momentum is called force. When the key is dropped, there are a number of forces act on the key. The first force is the weight of the key that act downwards and the other force is the gravitational force that is act between the two bodies that are the Earth and the key.

Since the mass of earth is very large compare to the mass of key. So, the attractive force tends to attract the key more strongly than the key to the earth and there is downward force that support the downward force which concludes the net momentum act on the key is in downward direction and increases due to acceleration of the key is increases so the momentum of the key is not conserved.

The momentum of the universe is conserved as the universe consists of planets and stars in which the planets move around the sun in a fixed orbit because of the equal and opposite force that makes them to move in a fixed orbit. The net amount of force acting by the universe on the earth is equal and opposite that makes the momentum of the universe conserved.

Conclusion

Therefore, the momentum of the key is not conserved as the forces acting on the key are not balanced and the momentum of the universe is conserved.

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02:47

Answer 3

Textbook Question

Chapter 9, Problem 1CQ

If you drop your Keys, their momentum increases as they fall. Why is the momentum of the Keys not conserved? Does this mean that the momentum of the universe increases as the keys fall? Explain.

Expert Solution & Answer

To determine

The reason that the momentum of the keys is not conserved and whether the momentum of the universe increases as the key falls.

Answer to Problem 1CQ

The momentum of the key is not conserved it increases due to the forces act on the key are not balanced and the momentum of the universe is conserved.

Explanation of Solution

The rate of change in momentum is called force. When the key is dropped, there are a number of forces act on the key. The first force is the weight of the key that act downwards and the other force is the gravitational force that is act between the two bodies that are the Earth and the key.

Since the mass of earth is very large compare to the mass of key. So, the attractive force tends to attract the key more strongly than the key to the earth and there is downward force that support the downward force which concludes the net momentum act on the key is in downward direction and increases due to acceleration of the key is increases so the momentum of the key is not conserved.

The momentum of the universe is conserved as the universe consists of planets and stars in which the planets move around the sun in a fixed orbit because of the equal and opposite force that makes them to move in a fixed orbit. The net amount of force acting by the universe on the earth is equal and opposite that makes the momentum of the universe conserved.

Conclusion

Therefore, the momentum of the key is not conserved as the forces acting on the key are not balanced and the momentum of the universe is conserved.

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02:47

Answer 4

Textbook Question

Chapter 9, Problem 1CQ

If you drop your Keys, their momentum increases as they fall. Why is the momentum of the Keys not conserved? Does this mean that the momentum of the universe increases as the keys fall? Explain.

Expert Solution & Answer

To determine

The reason that the momentum of the keys is not conserved and whether the momentum of the universe increases as the key falls.

Answer to Problem 1CQ

The momentum of the key is not conserved it increases due to the forces act on the key are not balanced and the momentum of the universe is conserved.

Explanation of Solution

The rate of change in momentum is called force. When the key is dropped, there are a number of forces act on the key. The first force is the weight of the key that act downwards and the other force is the gravitational force that is act between the two bodies that are the Earth and the key.

Since the mass of earth is very large compare to the mass of key. So, the attractive force tends to attract the key more strongly than the key to the earth and there is downward force that support the downward force which concludes the net momentum act on the key is in downward direction and increases due to acceleration of the key is increases so the momentum of the key is not conserved.

The momentum of the universe is conserved as the universe consists of planets and stars in which the planets move around the sun in a fixed orbit because of the equal and opposite force that makes them to move in a fixed orbit. The net amount of force acting by the universe on the earth is equal and opposite that makes the momentum of the universe conserved.

Conclusion

Therefore, the momentum of the key is not conserved as the forces acting on the key are not balanced and the momentum of the universe is conserved.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

The reason that the momentum of the keys is not conserved and whether the momentum of the universe increases as the key falls.

Answer to Problem 1CQ

The momentum of the key is not conserved it increases due to the forces act on the key are not balanced and the momentum of the universe is conserved.

Explanation of Solution

The rate of change in momentum is called force. When the key is dropped, there are a number of forces act on the key. The first force is the weight of the key that act downwards and the other force is the gravitational force that is act between the two bodies that are the Earth and the key.

Since the mass of earth is very large compare to the mass of key. So, the attractive force tends to attract the key more strongly than the key to the earth and there is downward force that support the downward force which concludes the net momentum act on the key is in downward direction and increases due to acceleration of the key is increases so the momentum of the key is not conserved.

The momentum of the universe is conserved as the universe consists of planets and stars in which the planets move around the sun in a fixed orbit because of the equal and opposite force that makes them to move in a fixed orbit. The net amount of force acting by the universe on the earth is equal and opposite that makes the momentum of the universe conserved.

Conclusion

Therefore, the momentum of the key is not conserved as the forces acting on the key are not balanced and the momentum of the universe is conserved.

Answer 8

Expert Solution & Answer

To determine

The reason that the momentum of the keys is not conserved and whether the momentum of the universe increases as the key falls.

Answer to Problem 1CQ

The momentum of the key is not conserved it increases due to the forces act on the key are not balanced and the momentum of the universe is conserved.

Explanation of Solution

The rate of change in momentum is called force. When the key is dropped, there are a number of forces act on the key. The first force is the weight of the key that act downwards and the other force is the gravitational force that is act between the two bodies that are the Earth and the key.

Since the mass of earth is very large compare to the mass of key. So, the attractive force tends to attract the key more strongly than the key to the earth and there is downward force that support the downward force which concludes the net momentum act on the key is in downward direction and increases due to acceleration of the key is increases so the momentum of the key is not conserved.

The momentum of the universe is conserved as the universe consists of planets and stars in which the planets move around the sun in a fixed orbit because of the equal and opposite force that makes them to move in a fixed orbit. The net amount of force acting by the universe on the earth is equal and opposite that makes the momentum of the universe conserved.

Conclusion

Therefore, the momentum of the key is not conserved as the forces acting on the key are not balanced and the momentum of the universe is conserved.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

The reason that the momentum of the keys is not conserved and whether the momentum of the universe increases as the key falls.

Answer 12

Answer to Problem 1CQ

The momentum of the key is not conserved it increases due to the forces act on the key are not balanced and the momentum of the universe is conserved.

Answer 13

Explanation of Solution

The rate of change in momentum is called force. When the key is dropped, there are a number of forces act on the key. The first force is the weight of the key that act downwards and the other force is the gravitational force that is act between the two bodies that are the Earth and the key.

Since the mass of earth is very large compare to the mass of key. So, the attractive force tends to attract the key more strongly than the key to the earth and there is downward force that support the downward force which concludes the net momentum act on the key is in downward direction and increases due to acceleration of the key is increases so the momentum of the key is not conserved.

The momentum of the universe is conserved as the universe consists of planets and stars in which the planets move around the sun in a fixed orbit because of the equal and opposite force that makes them to move in a fixed orbit. The net amount of force acting by the universe on the earth is equal and opposite that makes the momentum of the universe conserved.

Conclusion

Therefore, the momentum of the key is not conserved as the forces acting on the key are not balanced and the momentum of the universe is conserved.