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A cylinder of mass 10 kg is rolling in a plane with an initial velocity of 10 M per second if the coefficient of friction between the surface and cylinder is 0.5 the before stopping in the distance?
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A cylinder of mass 10 kg is rolling in a plane with an initial velocit...
S=U^2/2μg=10*10/2*0.5*10=10m
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A cylinder of mass 10 kg is rolling in a plane with an initial velocit...
Introduction
To determine the distance the cylinder travels before stopping, we need to analyze the forces acting on it and apply the equations of motion.
Given Data
- Mass of the cylinder (m): 10 kg
- Initial velocity (u): 10 m/s
- Coefficient of friction (μ): 0.5
- Acceleration due to gravity (g): 9.81 m/s²
Calculating the Frictional Force
- The normal force (N) acting on the cylinder:
N = m * g = 10 kg * 9.81 m/s² = 98.1 N
- The frictional force (F_f) can be calculated as:
F_f = μ * N = 0.5 * 98.1 N = 49.05 N
Calculating Deceleration
- The deceleration (a) caused by friction is given by:
a = F_f / m = 49.05 N / 10 kg = 4.905 m/s²
Using Equations of Motion
- To find the stopping distance (s), we use the equation:
v² = u² + 2as
Here, the final velocity (v) is 0 m/s (the cylinder stops).
- Rearranging gives:
0 = (10 m/s)² + 2 * (-4.905 m/s²) * s
0 = 100 - 9.81s
9.81s = 100
s = 100 / 9.81 ≈ 10.19 m
Conclusion
The cylinder will roll approximately 10.19 meters before coming to a stop due to the frictional force acting against its motion.
To determine the distance the cylinder travels before stopping, we need to analyze the forces acting on it and apply the equations of motion.
Given Data
- Mass of the cylinder (m): 10 kg
- Initial velocity (u): 10 m/s
- Coefficient of friction (μ): 0.5
- Acceleration due to gravity (g): 9.81 m/s²
Calculating the Frictional Force
- The normal force (N) acting on the cylinder:
N = m * g = 10 kg * 9.81 m/s² = 98.1 N
- The frictional force (F_f) can be calculated as:
F_f = μ * N = 0.5 * 98.1 N = 49.05 N
Calculating Deceleration
- The deceleration (a) caused by friction is given by:
a = F_f / m = 49.05 N / 10 kg = 4.905 m/s²
Using Equations of Motion
- To find the stopping distance (s), we use the equation:
v² = u² + 2as
Here, the final velocity (v) is 0 m/s (the cylinder stops).
- Rearranging gives:
0 = (10 m/s)² + 2 * (-4.905 m/s²) * s
0 = 100 - 9.81s
9.81s = 100
s = 100 / 9.81 ≈ 10.19 m
Conclusion
The cylinder will roll approximately 10.19 meters before coming to a stop due to the frictional force acting against its motion.
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A cylinder of mass 10 kg is rolling in a plane with an initial velocity of 10 M per second if the coefficient of friction between the surface and cylinder is 0.5 the before stopping in the distance?
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A cylinder of mass 10 kg is rolling in a plane with an initial velocity of 10 M per second if the coefficient of friction between the surface and cylinder is 0.5 the before stopping in the distance? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A cylinder of mass 10 kg is rolling in a plane with an initial velocity of 10 M per second if the coefficient of friction between the surface and cylinder is 0.5 the before stopping in the distance? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylinder of mass 10 kg is rolling in a plane with an initial velocity of 10 M per second if the coefficient of friction between the surface and cylinder is 0.5 the before stopping in the distance?.
A cylinder of mass 10 kg is rolling in a plane with an initial velocity of 10 M per second if the coefficient of friction between the surface and cylinder is 0.5 the before stopping in the distance? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A cylinder of mass 10 kg is rolling in a plane with an initial velocity of 10 M per second if the coefficient of friction between the surface and cylinder is 0.5 the before stopping in the distance? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylinder of mass 10 kg is rolling in a plane with an initial velocity of 10 M per second if the coefficient of friction between the surface and cylinder is 0.5 the before stopping in the distance?.
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