JEE Exam > JEE Questions > A body, thrown upwards with some velocity, re...
Start Learning for Free
A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height of
- a)200 m
- b)16 m
- c)80 m
- d)40 m
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A body, thrown upwards with some velocity, reaches the maximum height ...
**Explanation:**
To solve this problem, we can use the principles of projectile motion and the conservation of energy.
**Projectile Motion:**
When a body is thrown upwards, it follows a parabolic path known as projectile motion. The body goes up to a certain height, reaches its maximum height, and then falls back down.
**Conservation of Energy:**
According to the principle of conservation of energy, the total mechanical energy of a system remains constant if there are no external forces acting on it. In the absence of air resistance, the only forces acting on the body are gravity and initial velocity.
**Calculating the Maximum Height:**
Let's assume the initial velocity of the first body is "v" and its mass is "m". The initial velocity of the second body will be "2v" and its mass will be "2m".
The maximum height reached by the first body can be calculated using the equation:
h = (v^2) / (2g)
where h is the maximum height, v is the initial velocity, and g is the acceleration due to gravity.
Substituting the given values, we get:
20 = (v^2) / (2g) --(1)
Similarly, the maximum height reached by the second body can be calculated using the equation:
h' = ((2v)^2) / (2g)
Simplifying this equation, we get:
h' = (4v^2) / (2g)
= (2v^2) / (g)
Comparing h' with h, we can see that h' is 2 times h.
**Answer:**
Therefore, the second body with double the mass and double the initial velocity will reach a maximum height of 80 m (option C).
To solve this problem, we can use the principles of projectile motion and the conservation of energy.
**Projectile Motion:**
When a body is thrown upwards, it follows a parabolic path known as projectile motion. The body goes up to a certain height, reaches its maximum height, and then falls back down.
**Conservation of Energy:**
According to the principle of conservation of energy, the total mechanical energy of a system remains constant if there are no external forces acting on it. In the absence of air resistance, the only forces acting on the body are gravity and initial velocity.
**Calculating the Maximum Height:**
Let's assume the initial velocity of the first body is "v" and its mass is "m". The initial velocity of the second body will be "2v" and its mass will be "2m".
The maximum height reached by the first body can be calculated using the equation:
h = (v^2) / (2g)
where h is the maximum height, v is the initial velocity, and g is the acceleration due to gravity.
Substituting the given values, we get:
20 = (v^2) / (2g) --(1)
Similarly, the maximum height reached by the second body can be calculated using the equation:
h' = ((2v)^2) / (2g)
Simplifying this equation, we get:
h' = (4v^2) / (2g)
= (2v^2) / (g)
Comparing h' with h, we can see that h' is 2 times h.
**Answer:**
Therefore, the second body with double the mass and double the initial velocity will reach a maximum height of 80 m (option C).
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height ofa)200 mb)16 mc)80 md)40 mCorrect answer is option 'C'. Can you explain this answer?
Question Description
A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height ofa)200 mb)16 mc)80 md)40 mCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height ofa)200 mb)16 mc)80 md)40 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height ofa)200 mb)16 mc)80 md)40 mCorrect answer is option 'C'. Can you explain this answer?.
A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height ofa)200 mb)16 mc)80 md)40 mCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height ofa)200 mb)16 mc)80 md)40 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height ofa)200 mb)16 mc)80 md)40 mCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height ofa)200 mb)16 mc)80 md)40 mCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height ofa)200 mb)16 mc)80 md)40 mCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height ofa)200 mb)16 mc)80 md)40 mCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height ofa)200 mb)16 mc)80 md)40 mCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height ofa)200 mb)16 mc)80 md)40 mCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A body, thrown upwards with some velocity, reaches the maximum height of 20 m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height ofa)200 mb)16 mc)80 md)40 mCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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