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A projectile is projected at an angle 60 degree with horizontal with a speed of 10 Metre per second. the minimum radius of curvature of trajectory described by the projectile is A.2.55m B.2m C.10m D.None of these?
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A projectile is projected at an angle 60 degree with horizontal with a...
The minimum radius of curvature of the trajectory described by a projectile can be determined using the equation:
R = (v^2 * sin(2θ)) / g
Where:
R is the radius of curvature
v is the initial velocity of the projectile
θ is the angle at which the projectile is projected
g is the acceleration due to gravity
Given:
Angle of projection (θ) = 60 degrees
Initial velocity (v) = 10 m/s
Acceleration due to gravity (g) = 9.8 m/s^2
Calculating the minimum radius of curvature using the given values:
R = (10^2 * sin(2*60)) / 9.8
R = (100 * sin(120)) / 9.8
R = (100 * √3/2) / 9.8
R = (50√3) / 9.8
Using approximate values:
R ≈ 8.66 / 9.8
R ≈ 0.883 m
Therefore, the minimum radius of curvature of the trajectory described by the projectile is approximately 0.883 meters.
So, the correct option is D. None of these, as none of the given options matches the calculated value.
Summary:
- Angle of projection (θ) = 60 degrees
- Initial velocity (v) = 10 m/s
- Acceleration due to gravity (g) = 9.8 m/s^2
- Using the formula R = (v^2 * sin(2θ)) / g, the minimum radius of curvature is calculated to be approximately 0.883 meters.
- None of the given options (A, B, C) matches the calculated value.
R = (v^2 * sin(2θ)) / g
Where:
R is the radius of curvature
v is the initial velocity of the projectile
θ is the angle at which the projectile is projected
g is the acceleration due to gravity
Given:
Angle of projection (θ) = 60 degrees
Initial velocity (v) = 10 m/s
Acceleration due to gravity (g) = 9.8 m/s^2
Calculating the minimum radius of curvature using the given values:
R = (10^2 * sin(2*60)) / 9.8
R = (100 * sin(120)) / 9.8
R = (100 * √3/2) / 9.8
R = (50√3) / 9.8
Using approximate values:
R ≈ 8.66 / 9.8
R ≈ 0.883 m
Therefore, the minimum radius of curvature of the trajectory described by the projectile is approximately 0.883 meters.
So, the correct option is D. None of these, as none of the given options matches the calculated value.
Summary:
- Angle of projection (θ) = 60 degrees
- Initial velocity (v) = 10 m/s
- Acceleration due to gravity (g) = 9.8 m/s^2
- Using the formula R = (v^2 * sin(2θ)) / g, the minimum radius of curvature is calculated to be approximately 0.883 meters.
- None of the given options (A, B, C) matches the calculated value.
Community Answer
A projectile is projected at an angle 60 degree with horizontal with a...
Its easy man Radius will be minm when velocity is min and acceleration is maximum which only possible at topmost point where velcity is vcos60= 5 and a=g=9.8So r=( v^2)/aSo r=25/9.8= 2.2510So ans is A
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A projectile is projected at an angle 60 degree with horizontal with a speed of 10 Metre per second. the minimum radius of curvature of trajectory described by the projectile is A.2.55m B.2m C.10m D.None of these?
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A projectile is projected at an angle 60 degree with horizontal with a speed of 10 Metre per second. the minimum radius of curvature of trajectory described by the projectile is A.2.55m B.2m C.10m D.None of these? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A projectile is projected at an angle 60 degree with horizontal with a speed of 10 Metre per second. the minimum radius of curvature of trajectory described by the projectile is A.2.55m B.2m C.10m D.None of these? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A projectile is projected at an angle 60 degree with horizontal with a speed of 10 Metre per second. the minimum radius of curvature of trajectory described by the projectile is A.2.55m B.2m C.10m D.None of these?.
A projectile is projected at an angle 60 degree with horizontal with a speed of 10 Metre per second. the minimum radius of curvature of trajectory described by the projectile is A.2.55m B.2m C.10m D.None of these? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A projectile is projected at an angle 60 degree with horizontal with a speed of 10 Metre per second. the minimum radius of curvature of trajectory described by the projectile is A.2.55m B.2m C.10m D.None of these? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A projectile is projected at an angle 60 degree with horizontal with a speed of 10 Metre per second. the minimum radius of curvature of trajectory described by the projectile is A.2.55m B.2m C.10m D.None of these?.
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