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A plank of mass 10 kg rests on a horizontal surface. Two blocks A and B of masses 2kg and 1 kg respectively lies at a distance of 3m on the plane . The coefficient of friction between block A and Planck is 0.3 and between block B and Planck is 0.1. Now a force F=15N is applied to the packing horizontal direction . Find the time after which block A collides with B?
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A plank of mass 10 kg rests on a horizontal surface. Two blocks A and ...
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A plank of mass 10 kg rests on a horizontal surface. Two blocks A and ...
Analysis:
- The force applied to the plank is 15N.
- Block A has a mass of 2kg and a coefficient of friction of 0.3.
- Block B has a mass of 1kg and a coefficient of friction of 0.1.
- The distance between block A and block B is 3m.
Calculations:
1. Calculate the acceleration of the plank:
- Net force on the plank = Applied force - Frictional force
- Net force = 15N - (0.3 * 2kg * 9.8m/s^2) - (0.1 * 1kg * 9.8m/s^2)
- Net force = 15N - 5.88N - 0.98N = 8.14N
- Acceleration = Net force / Total mass
- Acceleration = 8.14N / 13kg = 0.626 m/s^2
2. Calculate the time taken for block A to collide with block B:
- Let the distance traveled by the plank before block A collides with B be x.
- Using the equation of motion: x = (1/2) * acceleration * time^2
- 3m = (1/2) * 0.626 * time^2
- time = sqrt((2 * 3) / 0.626) = 3.42 seconds
Conclusion:
- Block A will collide with block B after approximately 3.42 seconds when a force of 15N is applied to the plank.
- The force applied to the plank is 15N.
- Block A has a mass of 2kg and a coefficient of friction of 0.3.
- Block B has a mass of 1kg and a coefficient of friction of 0.1.
- The distance between block A and block B is 3m.
Calculations:
1. Calculate the acceleration of the plank:
- Net force on the plank = Applied force - Frictional force
- Net force = 15N - (0.3 * 2kg * 9.8m/s^2) - (0.1 * 1kg * 9.8m/s^2)
- Net force = 15N - 5.88N - 0.98N = 8.14N
- Acceleration = Net force / Total mass
- Acceleration = 8.14N / 13kg = 0.626 m/s^2
2. Calculate the time taken for block A to collide with block B:
- Let the distance traveled by the plank before block A collides with B be x.
- Using the equation of motion: x = (1/2) * acceleration * time^2
- 3m = (1/2) * 0.626 * time^2
- time = sqrt((2 * 3) / 0.626) = 3.42 seconds
Conclusion:
- Block A will collide with block B after approximately 3.42 seconds when a force of 15N is applied to the plank.
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A plank of mass 10 kg rests on a horizontal surface. Two blocks A and B of masses 2kg and 1 kg respectively lies at a distance of 3m on the plane . The coefficient of friction between block A and Planck is 0.3 and between block B and Planck is 0.1. Now a force F=15N is applied to the packing horizontal direction . Find the time after which block A collides with B?
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A plank of mass 10 kg rests on a horizontal surface. Two blocks A and B of masses 2kg and 1 kg respectively lies at a distance of 3m on the plane . The coefficient of friction between block A and Planck is 0.3 and between block B and Planck is 0.1. Now a force F=15N is applied to the packing horizontal direction . Find the time after which block A collides with B? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A plank of mass 10 kg rests on a horizontal surface. Two blocks A and B of masses 2kg and 1 kg respectively lies at a distance of 3m on the plane . The coefficient of friction between block A and Planck is 0.3 and between block B and Planck is 0.1. Now a force F=15N is applied to the packing horizontal direction . Find the time after which block A collides with B? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A plank of mass 10 kg rests on a horizontal surface. Two blocks A and B of masses 2kg and 1 kg respectively lies at a distance of 3m on the plane . The coefficient of friction between block A and Planck is 0.3 and between block B and Planck is 0.1. Now a force F=15N is applied to the packing horizontal direction . Find the time after which block A collides with B?.
A plank of mass 10 kg rests on a horizontal surface. Two blocks A and B of masses 2kg and 1 kg respectively lies at a distance of 3m on the plane . The coefficient of friction between block A and Planck is 0.3 and between block B and Planck is 0.1. Now a force F=15N is applied to the packing horizontal direction . Find the time after which block A collides with B? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A plank of mass 10 kg rests on a horizontal surface. Two blocks A and B of masses 2kg and 1 kg respectively lies at a distance of 3m on the plane . The coefficient of friction between block A and Planck is 0.3 and between block B and Planck is 0.1. Now a force F=15N is applied to the packing horizontal direction . Find the time after which block A collides with B? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A plank of mass 10 kg rests on a horizontal surface. Two blocks A and B of masses 2kg and 1 kg respectively lies at a distance of 3m on the plane . The coefficient of friction between block A and Planck is 0.3 and between block B and Planck is 0.1. Now a force F=15N is applied to the packing horizontal direction . Find the time after which block A collides with B?.
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A plank of mass 10 kg rests on a horizontal surface. Two blocks A and B of masses 2kg and 1 kg respectively lies at a distance of 3m on the plane . The coefficient of friction between block A and Planck is 0.3 and between block B and Planck is 0.1. Now a force F=15N is applied to the packing horizontal direction . Find the time after which block A collides with B?, a detailed solution for A plank of mass 10 kg rests on a horizontal surface. Two blocks A and B of masses 2kg and 1 kg respectively lies at a distance of 3m on the plane . The coefficient of friction between block A and Planck is 0.3 and between block B and Planck is 0.1. Now a force F=15N is applied to the packing horizontal direction . Find the time after which block A collides with B? has been provided alongside types of A plank of mass 10 kg rests on a horizontal surface. Two blocks A and B of masses 2kg and 1 kg respectively lies at a distance of 3m on the plane . The coefficient of friction between block A and Planck is 0.3 and between block B and Planck is 0.1. Now a force F=15N is applied to the packing horizontal direction . Find the time after which block A collides with B? theory, EduRev gives you an
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