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Two blocks of mass 6 Kg and 4 kg kept on a rough surface are connected by a string which has tension T . Both the blocks have a coefficient of friction of 0.5 if a force of 40 N is applied on the block of mass 6 kg find the tension in the string.?
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Two blocks of mass 6 Kg and 4 kg kept on a rough surface are connected...
Given information:
- Mass of block 1 (m1) = 6 kg
- Mass of block 2 (m2) = 4 kg
- Coefficient of friction for both blocks (μ) = 0.5
- Force applied on block 1 (F) = 40 N
Solution:
First, we need to find the frictional force acting on each block.
Frictional force on block 1:
The frictional force on block 1 can be calculated using the formula:
Frictional force (f1) = μ * m1 * g
Where g is the acceleration due to gravity (9.8 m/s^2).
Substituting the given values:
f1 = 0.5 * 6 kg * 9.8 m/s^2 = 29.4 N
Frictional force on block 2:
The frictional force on block 2 can be calculated using the same formula:
Frictional force (f2) = μ * m2 * g
Substituting the given values:
f2 = 0.5 * 4 kg * 9.8 m/s^2 = 19.6 N
Net force on block 1:
The net force on block 1 can be calculated using the formula:
Net force (F1) = F - f1
Where F is the applied force on block 1.
Substituting the given values:
F1 = 40 N - 29.4 N = 10.6 N
Acceleration of the blocks:
The acceleration of the blocks can be calculated using the formula:
Acceleration (a) = net force / total mass
Where the total mass is the sum of the masses of the blocks.
Substituting the given values:
a = 10.6 N / (6 kg + 4 kg) = 1.06 m/s^2
Tension in the string:
The tension in the string can be calculated using the formula:
Tension (T) = m2 * a + f2
Substituting the given values:
T = 4 kg * 1.06 m/s^2 + 19.6 N = 23.84 N
Conclusion:
The tension in the string is 23.84 N.
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Two blocks of mass 6 Kg and 4 kg kept on a rough surface are connected by a string which has tension T . Both the blocks have a coefficient of friction of 0.5 if a force of 40 N is applied on the block of mass 6 kg find the tension in the string.?
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Two blocks of mass 6 Kg and 4 kg kept on a rough surface are connected by a string which has tension T . Both the blocks have a coefficient of friction of 0.5 if a force of 40 N is applied on the block of mass 6 kg find the tension in the string.? 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 Two blocks of mass 6 Kg and 4 kg kept on a rough surface are connected by a string which has tension T . Both the blocks have a coefficient of friction of 0.5 if a force of 40 N is applied on the block of mass 6 kg find the tension in the string.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two blocks of mass 6 Kg and 4 kg kept on a rough surface are connected by a string which has tension T . Both the blocks have a coefficient of friction of 0.5 if a force of 40 N is applied on the block of mass 6 kg find the tension in the string.?.
Two blocks of mass 6 Kg and 4 kg kept on a rough surface are connected by a string which has tension T . Both the blocks have a coefficient of friction of 0.5 if a force of 40 N is applied on the block of mass 6 kg find the tension in the string.? 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 Two blocks of mass 6 Kg and 4 kg kept on a rough surface are connected by a string which has tension T . Both the blocks have a coefficient of friction of 0.5 if a force of 40 N is applied on the block of mass 6 kg find the tension in the string.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two blocks of mass 6 Kg and 4 kg kept on a rough surface are connected by a string which has tension T . Both the blocks have a coefficient of friction of 0.5 if a force of 40 N is applied on the block of mass 6 kg find the tension in the string.?.
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