NEET Exam > NEET Questions > Two stones are thrown simultaneously from the...
Start Learning for Free
Two stones are thrown simultaneously from the same point with speed V not at an angle 30degree and 60 degree respectively with the positive x-axis. the velocity with which stone move relative to each other in air is?
Verified Answer
Two stones are thrown simultaneously from the same point with speed V ...
Stone 1 is thrown at an angle of . Therefore, the x-axis component of the velocity is
vcos(\theta) = vcos(30^{o}) = \frac{\sqrt{3} }{2}v.
Stone 2 is thrown at an angle of Therefore, the x-axis component of the velocity is
vcos(\theta) = vcos(60^{o}) = \frac{1 }{2}v.
Since the two stones move in the same direction, the relative velocity is the difference between the two velocities; which is
frac{\sqrt{3} }{2}v-\frac{1}{2}v = 0.366v
This question is part of UPSC exam. View all NEET courses
Most Upvoted Answer
Two stones are thrown simultaneously from the same point with speed V ...
Relative Velocity of Two Stones Thrown Simultaneously
Introduction:
When two stones are thrown simultaneously from the same point with different angles relative to the positive x-axis, we can determine the velocity with which they move relative to each other in the air.
Explanation:
To understand the relative velocity of the two stones, we need to break down their velocities into their x and y components.
Components of Velocity:
Stone 1 is thrown at an angle of 30 degrees with the positive x-axis, while Stone 2 is thrown at an angle of 60 degrees. The initial velocities of the stones can be represented as follows:
Stone 1: V₁x = V * cos(30°) and V₁y = V * sin(30°)
Stone 2: V₂x = V * cos(60°) and V₂y = V * sin(60°)
Relative Velocity:
The relative velocity of Stone 2 with respect to Stone 1 can be calculated by subtracting the x and y components of Stone 1 from the x and y components of Stone 2, respectively.
Relative Velocity (Vrel) = (V₂x - V₁x) î + (V₂y - V₁y) ĵ
Using the trigonometric identities cos(30°) = √3/2, sin(30°) = 1/2, cos(60°) = 1/2, and sin(60°) = √3/2, we can substitute the values into the equation:
Vrel = (V * (1/2) - V * (√3/2)) î + (V * (√3/2) - V * (1/2)) ĵ
Simplifying the equation further:
Vrel = (V/2 - (√3/2) * V) î + (√3/2 * V - V/2) ĵ
Vrel = (- (√3/2) * V) î + (√3/2 * V) ĵ
Conclusion:
Therefore, the relative velocity of the two stones in the air is given by Vrel = (- (√3/2) * V) î + (√3/2 * V) ĵ. This means that the stones move relative to each other at an angle of 60 degrees with the positive x-axis. The magnitude of the relative velocity is (√3/2) times the magnitude of the initial velocity V.
Introduction:
When two stones are thrown simultaneously from the same point with different angles relative to the positive x-axis, we can determine the velocity with which they move relative to each other in the air.
Explanation:
To understand the relative velocity of the two stones, we need to break down their velocities into their x and y components.
Components of Velocity:
Stone 1 is thrown at an angle of 30 degrees with the positive x-axis, while Stone 2 is thrown at an angle of 60 degrees. The initial velocities of the stones can be represented as follows:
Stone 1: V₁x = V * cos(30°) and V₁y = V * sin(30°)
Stone 2: V₂x = V * cos(60°) and V₂y = V * sin(60°)
Relative Velocity:
The relative velocity of Stone 2 with respect to Stone 1 can be calculated by subtracting the x and y components of Stone 1 from the x and y components of Stone 2, respectively.
Relative Velocity (Vrel) = (V₂x - V₁x) î + (V₂y - V₁y) ĵ
Using the trigonometric identities cos(30°) = √3/2, sin(30°) = 1/2, cos(60°) = 1/2, and sin(60°) = √3/2, we can substitute the values into the equation:
Vrel = (V * (1/2) - V * (√3/2)) î + (V * (√3/2) - V * (1/2)) ĵ
Simplifying the equation further:
Vrel = (V/2 - (√3/2) * V) î + (√3/2 * V - V/2) ĵ
Vrel = (- (√3/2) * V) î + (√3/2 * V) ĵ
Conclusion:
Therefore, the relative velocity of the two stones in the air is given by Vrel = (- (√3/2) * V) î + (√3/2 * V) ĵ. This means that the stones move relative to each other at an angle of 60 degrees with the positive x-axis. The magnitude of the relative velocity is (√3/2) times the magnitude of the initial velocity V.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
Two stones are thrown simultaneously from the same point with speed V not at an angle 30degree and 60 degree respectively with the positive x-axis. the velocity with which stone move relative to each other in air is?
Question Description
Two stones are thrown simultaneously from the same point with speed V not at an angle 30degree and 60 degree respectively with the positive x-axis. the velocity with which stone move relative to each other in air is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two stones are thrown simultaneously from the same point with speed V not at an angle 30degree and 60 degree respectively with the positive x-axis. the velocity with which stone move relative to each other in air is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two stones are thrown simultaneously from the same point with speed V not at an angle 30degree and 60 degree respectively with the positive x-axis. the velocity with which stone move relative to each other in air is?.
Two stones are thrown simultaneously from the same point with speed V not at an angle 30degree and 60 degree respectively with the positive x-axis. the velocity with which stone move relative to each other in air is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two stones are thrown simultaneously from the same point with speed V not at an angle 30degree and 60 degree respectively with the positive x-axis. the velocity with which stone move relative to each other in air is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two stones are thrown simultaneously from the same point with speed V not at an angle 30degree and 60 degree respectively with the positive x-axis. the velocity with which stone move relative to each other in air is?.
Solutions for Two stones are thrown simultaneously from the same point with speed V not at an angle 30degree and 60 degree respectively with the positive x-axis. the velocity with which stone move relative to each other in air is? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of Two stones are thrown simultaneously from the same point with speed V not at an angle 30degree and 60 degree respectively with the positive x-axis. the velocity with which stone move relative to each other in air is? defined & explained in the simplest way possible. Besides giving the explanation of
Two stones are thrown simultaneously from the same point with speed V not at an angle 30degree and 60 degree respectively with the positive x-axis. the velocity with which stone move relative to each other in air is?, a detailed solution for Two stones are thrown simultaneously from the same point with speed V not at an angle 30degree and 60 degree respectively with the positive x-axis. the velocity with which stone move relative to each other in air is? has been provided alongside types of Two stones are thrown simultaneously from the same point with speed V not at an angle 30degree and 60 degree respectively with the positive x-axis. the velocity with which stone move relative to each other in air is? theory, EduRev gives you an
ample number of questions to practice Two stones are thrown simultaneously from the same point with speed V not at an angle 30degree and 60 degree respectively with the positive x-axis. the velocity with which stone move relative to each other in air is? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup