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A water jet whose cross sectional is 'a' strikes a wall making an angle theta with normal and rebounds elastically the velocity of water of density 'd' is v force excerted on wall is ?
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A water jet whose cross sectional is 'a' strikes a wall making an angl...
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A water jet whose cross sectional is 'a' strikes a wall making an angl...
Explanation:
Given:
- Cross-sectional area of the water jet = 'a'
- Angle made by the water jet with the normal of the wall = θ
- Velocity of the water jet = v
- Density of water = d
Force exerted on the wall:
To find the force exerted on the wall by the water jet, we need to consider the change in momentum of the water jet before and after it strikes the wall.
Initial momentum:
The initial momentum of the water jet can be calculated using the formula:
Initial momentum = Mass * Initial velocity
The mass of the water jet can be calculated using the formula:
Mass = density * Volume
The volume of the water jet can be calculated using the formula:
Volume = Cross-sectional area * Length
Since the length of the water jet is not given, we can assume it to be 1 unit for simplicity.
Therefore, the initial momentum can be calculated as:
Initial momentum = density * Cross-sectional area * Initial velocity
Final momentum:
After striking the wall, the water jet rebounds elastically. This means that it bounces off the wall without any loss in kinetic energy.
Therefore, the final momentum of the water jet can be calculated as:
Final momentum = density * Cross-sectional area * Final velocity
Change in momentum:
The change in momentum of the water jet can be calculated as:
Change in momentum = Final momentum - Initial momentum
Force exerted on the wall:
The force exerted on the wall is equal to the rate of change of momentum. Therefore, we can calculate the force as:
Force = Change in momentum / Time
Since the time of impact is not given, we can assume it to be very small, approaching zero.
Therefore, the force exerted on the wall can be approximated as:
Force = Change in momentum / Time ≈ Change in momentum / 0 = ∞
Conclusion:
The force exerted on the wall by the water jet is infinite. This implies that the water jet imparts an extremely large force on the wall when it strikes and rebounds elastically. However, in reality, the force would be limited by the strength of the wall and the properties of the water jet.
Given:
- Cross-sectional area of the water jet = 'a'
- Angle made by the water jet with the normal of the wall = θ
- Velocity of the water jet = v
- Density of water = d
Force exerted on the wall:
To find the force exerted on the wall by the water jet, we need to consider the change in momentum of the water jet before and after it strikes the wall.
Initial momentum:
The initial momentum of the water jet can be calculated using the formula:
Initial momentum = Mass * Initial velocity
The mass of the water jet can be calculated using the formula:
Mass = density * Volume
The volume of the water jet can be calculated using the formula:
Volume = Cross-sectional area * Length
Since the length of the water jet is not given, we can assume it to be 1 unit for simplicity.
Therefore, the initial momentum can be calculated as:
Initial momentum = density * Cross-sectional area * Initial velocity
Final momentum:
After striking the wall, the water jet rebounds elastically. This means that it bounces off the wall without any loss in kinetic energy.
Therefore, the final momentum of the water jet can be calculated as:
Final momentum = density * Cross-sectional area * Final velocity
Change in momentum:
The change in momentum of the water jet can be calculated as:
Change in momentum = Final momentum - Initial momentum
Force exerted on the wall:
The force exerted on the wall is equal to the rate of change of momentum. Therefore, we can calculate the force as:
Force = Change in momentum / Time
Since the time of impact is not given, we can assume it to be very small, approaching zero.
Therefore, the force exerted on the wall can be approximated as:
Force = Change in momentum / Time ≈ Change in momentum / 0 = ∞
Conclusion:
The force exerted on the wall by the water jet is infinite. This implies that the water jet imparts an extremely large force on the wall when it strikes and rebounds elastically. However, in reality, the force would be limited by the strength of the wall and the properties of the water jet.
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A water jet whose cross sectional is 'a' strikes a wall making an angle theta with normal and rebounds elastically the velocity of water of density 'd' is v force excerted on wall is ?
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A water jet whose cross sectional is 'a' strikes a wall making an angle theta with normal and rebounds elastically the velocity of water of density 'd' is v force excerted on wall is ? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A water jet whose cross sectional is 'a' strikes a wall making an angle theta with normal and rebounds elastically the velocity of water of density 'd' is v force excerted on wall is ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A water jet whose cross sectional is 'a' strikes a wall making an angle theta with normal and rebounds elastically the velocity of water of density 'd' is v force excerted on wall is ?.
A water jet whose cross sectional is 'a' strikes a wall making an angle theta with normal and rebounds elastically the velocity of water of density 'd' is v force excerted on wall is ? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A water jet whose cross sectional is 'a' strikes a wall making an angle theta with normal and rebounds elastically the velocity of water of density 'd' is v force excerted on wall is ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A water jet whose cross sectional is 'a' strikes a wall making an angle theta with normal and rebounds elastically the velocity of water of density 'd' is v force excerted on wall is ?.
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