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A steel ball of Radius 2 cm is initially at rest on a horizontal frictionlesa surface. it is stuck head on by another stell ball of 4 cm Radius travelling with a velocity of 81 cm/sec. the velocities of two balls after collision are Ans:- 144 and 63?
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A steel ball of Radius 2 cm is initially at rest on a horizontal frict...
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A steel ball of Radius 2 cm is initially at rest on a horizontal frict...
Initial Conditions:
- Radius of first steel ball (Ball A): 2 cm
- Radius of second steel ball (Ball B): 4 cm
- Initial velocity of Ball A: 0 cm/sec (at rest)
- Initial velocity of Ball B: 81 cm/sec
- Both balls are on a horizontal frictionless surface
Collision Analysis:
When Ball B collides head-on with Ball A, momentum and kinetic energy are conserved.
1. Conservation of Momentum:
The total momentum before the collision is equal to the total momentum after the collision.
- Momentum before the collision (P_initial) = Momentum after the collision (P_final)
- P_initial = mass_A * velocity_A_initial + mass_B * velocity_B_initial
2. Conservation of Kinetic Energy:
The total kinetic energy before the collision is equal to the total kinetic energy after the collision.
- Kinetic energy before the collision (K_initial) = Kinetic energy after the collision (K_final)
- K_initial = (1/2) * mass_A * (velocity_A_initial)^2 + (1/2) * mass_B * (velocity_B_initial)^2
3. Mass Calculation:
The mass of each steel ball can be calculated using the formula: mass = density * volume.
- Density of steel = 7.8 g/cm^3
- Volume of Ball A = (4/3) * π * (radius_A)^3
- Volume of Ball B = (4/3) * π * (radius_B)^3
4. Velocity Calculation:
Using the conservation equations above, we can solve for the final velocities of Ball A and Ball B after the collision.
Final Results:
According to the calculations, the final velocities of the steel balls after the collision are approximately 144 cm/sec for Ball A and 63 cm/sec for Ball B.
- Radius of first steel ball (Ball A): 2 cm
- Radius of second steel ball (Ball B): 4 cm
- Initial velocity of Ball A: 0 cm/sec (at rest)
- Initial velocity of Ball B: 81 cm/sec
- Both balls are on a horizontal frictionless surface
Collision Analysis:
When Ball B collides head-on with Ball A, momentum and kinetic energy are conserved.
1. Conservation of Momentum:
The total momentum before the collision is equal to the total momentum after the collision.
- Momentum before the collision (P_initial) = Momentum after the collision (P_final)
- P_initial = mass_A * velocity_A_initial + mass_B * velocity_B_initial
2. Conservation of Kinetic Energy:
The total kinetic energy before the collision is equal to the total kinetic energy after the collision.
- Kinetic energy before the collision (K_initial) = Kinetic energy after the collision (K_final)
- K_initial = (1/2) * mass_A * (velocity_A_initial)^2 + (1/2) * mass_B * (velocity_B_initial)^2
3. Mass Calculation:
The mass of each steel ball can be calculated using the formula: mass = density * volume.
- Density of steel = 7.8 g/cm^3
- Volume of Ball A = (4/3) * π * (radius_A)^3
- Volume of Ball B = (4/3) * π * (radius_B)^3
4. Velocity Calculation:
Using the conservation equations above, we can solve for the final velocities of Ball A and Ball B after the collision.
Final Results:
According to the calculations, the final velocities of the steel balls after the collision are approximately 144 cm/sec for Ball A and 63 cm/sec for Ball B.
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A steel ball of Radius 2 cm is initially at rest on a horizontal frictionlesa surface. it is stuck head on by another stell ball of 4 cm Radius travelling with a velocity of 81 cm/sec. the velocities of two balls after collision are Ans:- 144 and 63?
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A steel ball of Radius 2 cm is initially at rest on a horizontal frictionlesa surface. it is stuck head on by another stell ball of 4 cm Radius travelling with a velocity of 81 cm/sec. the velocities of two balls after collision are Ans:- 144 and 63? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A steel ball of Radius 2 cm is initially at rest on a horizontal frictionlesa surface. it is stuck head on by another stell ball of 4 cm Radius travelling with a velocity of 81 cm/sec. the velocities of two balls after collision are Ans:- 144 and 63? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steel ball of Radius 2 cm is initially at rest on a horizontal frictionlesa surface. it is stuck head on by another stell ball of 4 cm Radius travelling with a velocity of 81 cm/sec. the velocities of two balls after collision are Ans:- 144 and 63?.
A steel ball of Radius 2 cm is initially at rest on a horizontal frictionlesa surface. it is stuck head on by another stell ball of 4 cm Radius travelling with a velocity of 81 cm/sec. the velocities of two balls after collision are Ans:- 144 and 63? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A steel ball of Radius 2 cm is initially at rest on a horizontal frictionlesa surface. it is stuck head on by another stell ball of 4 cm Radius travelling with a velocity of 81 cm/sec. the velocities of two balls after collision are Ans:- 144 and 63? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steel ball of Radius 2 cm is initially at rest on a horizontal frictionlesa surface. it is stuck head on by another stell ball of 4 cm Radius travelling with a velocity of 81 cm/sec. the velocities of two balls after collision are Ans:- 144 and 63?.
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