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Q9. A object of mass 3 kg slides down an inclined plan and reaches C in 1 sec . Coefficient of kinetic friction is 0.5 Find the initial speed of the object when it is released from position A ? where ab is 6 m angle b is 90 and angle c is 37?
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Q9. A object of mass 3 kg slides down an inclined plan and reaches C i...
Understanding the Problem
To find the initial speed of the object when released from position A, we need to analyze the forces acting on the object as it slides down the inclined plane.
Given Data
- Mass of the object (m) = 3 kg
- Coefficient of kinetic friction (μ) = 0.5
- Distance AB (height) = 6 m
- Angle A = 90 degrees
- Angle C = 37 degrees
- Time taken to reach C (t) = 1 sec
Forces Acting on the Object
- Weight component parallel to the incline: m * g * sin(θ)
- Frictional force opposing the motion: μ * m * g * cos(θ)
Calculating Acceleration
1. Find the net force (F_net):
F_net = m * g * sin(θ) - μ * m * g * cos(θ)
2. Calculate acceleration (a):
Using Newton's second law, F_net = m * a, we can solve for acceleration.
Using Kinematic Equations
- To find the initial speed (u), we use the equation:
s = ut + (1/2)at, where s is the distance along the incline from A to C.
- The distance s can be calculated using the height (h) and the angle at C:
s = h / sin(θ)
Conclusion
After calculating the acceleration and the distance, plug these values back into the kinematic equation to solve for the initial speed (u) when the object was released from position A. This systematic approach will yield the required initial speed of the object.
To find the initial speed of the object when released from position A, we need to analyze the forces acting on the object as it slides down the inclined plane.
Given Data
- Mass of the object (m) = 3 kg
- Coefficient of kinetic friction (μ) = 0.5
- Distance AB (height) = 6 m
- Angle A = 90 degrees
- Angle C = 37 degrees
- Time taken to reach C (t) = 1 sec
Forces Acting on the Object
- Weight component parallel to the incline: m * g * sin(θ)
- Frictional force opposing the motion: μ * m * g * cos(θ)
Calculating Acceleration
1. Find the net force (F_net):
F_net = m * g * sin(θ) - μ * m * g * cos(θ)
2. Calculate acceleration (a):
Using Newton's second law, F_net = m * a, we can solve for acceleration.
Using Kinematic Equations
- To find the initial speed (u), we use the equation:
s = ut + (1/2)at, where s is the distance along the incline from A to C.
- The distance s can be calculated using the height (h) and the angle at C:
s = h / sin(θ)
Conclusion
After calculating the acceleration and the distance, plug these values back into the kinematic equation to solve for the initial speed (u) when the object was released from position A. This systematic approach will yield the required initial speed of the object.
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Q9. A object of mass 3 kg slides down an inclined plan and reaches C in 1 sec . Coefficient of kinetic friction is 0.5 Find the initial speed of the object when it is released from position A ? where ab is 6 m angle b is 90 and angle c is 37?
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Q9. A object of mass 3 kg slides down an inclined plan and reaches C in 1 sec . Coefficient of kinetic friction is 0.5 Find the initial speed of the object when it is released from position A ? where ab is 6 m angle b is 90 and angle c is 37? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Q9. A object of mass 3 kg slides down an inclined plan and reaches C in 1 sec . Coefficient of kinetic friction is 0.5 Find the initial speed of the object when it is released from position A ? where ab is 6 m angle b is 90 and angle c is 37? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q9. A object of mass 3 kg slides down an inclined plan and reaches C in 1 sec . Coefficient of kinetic friction is 0.5 Find the initial speed of the object when it is released from position A ? where ab is 6 m angle b is 90 and angle c is 37?.
Q9. A object of mass 3 kg slides down an inclined plan and reaches C in 1 sec . Coefficient of kinetic friction is 0.5 Find the initial speed of the object when it is released from position A ? where ab is 6 m angle b is 90 and angle c is 37? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Q9. A object of mass 3 kg slides down an inclined plan and reaches C in 1 sec . Coefficient of kinetic friction is 0.5 Find the initial speed of the object when it is released from position A ? where ab is 6 m angle b is 90 and angle c is 37? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q9. A object of mass 3 kg slides down an inclined plan and reaches C in 1 sec . Coefficient of kinetic friction is 0.5 Find the initial speed of the object when it is released from position A ? where ab is 6 m angle b is 90 and angle c is 37?.
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