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

Want to see more full solutions like this?

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

02:47

Students have asked these similar questions

You are working with a movie director and investigating a scene with a cowboy sliding off a tree limb and falling onto the saddle of a moving horse. The distance of the fall is several meters, and the calculation shows a high probability of injury to the cowboy from the stunt. Let's look at a simpler situation. Suppose the director asks you to have the cowboy step off a platform 2.55 m off the ground and land on his feet on the ground. The cowboy keeps his legs straight as he falls, but then bends at the knees as soon as he touches the ground. This allows the center of mass of his body to move through a distance of 0.660 m before his body comes to rest. (Center of mass will be formally defined in Linear Momentum and Collisions.) You assume this motion to be under constant acceleration of the center of mass of his body. To assess the degree of danger to the cowboy in this stunt, you wish to calculate the average force upward on his body from the ground, as a multiple of the cowboy's…

A box of mass m = 2.00 kg is released from rest at the top of an inclined plane as seen in the figure. The box starts out at height h =0.200 m above the top of the table, the table height is H = 2.00 m, and 0 = 41.0°. H m (a) What is the acceleration (in m/s²) of the box while it slides down the incline? m/s² (b) What is the speed (in m/s) of the box when it leaves the incline? m/s (c) At what horizontal distance (in m) from the end of the table will the box hit the ground? m (d) How long (in s) from when the box is released does it hit the ground? S (e) Does the box's mass affect any of your above answers? Yes No

(a) A sphere made of rubber has a density of 0.940 g/cm³ and a radius of 7.00 cm. It falls through air of density 1.20 kg/m³ and has a drag coefficient of 0.500. What is its terminal speed (in m/s)? m/s (b) From what height (in m) would the sphere have to be dropped to reach this speed if it fell without air resistance? m

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

02:47

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.