JEE Exam > JEE Questions > A rocket is moving in a gravity free space wi...
Start Learning for Free
A rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in x direction with a speed of 0.3 ms-1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 ms from right end relative to the rocket. The time in seconds when its the two balls hit each other is?
Most Upvoted Answer
A rocket is moving in a gravity free space with a constant acceleratio...
**Solution:**
To solve this problem, we need to consider the motion of the two balls relative to the rocket and find the time at which they collide.
1. **Relative Motion of the Balls:**
- The ball thrown from the left end of the chamber has a velocity of 0.3 m/s in the positive x direction relative to the rocket.
- The ball thrown from the right end of the chamber has a velocity of 0.2 m/s in the negative x direction relative to the rocket.
- Therefore, the relative velocity between the two balls is the sum of their individual velocities: 0.3 m/s + (-0.2 m/s) = 0.1 m/s in the positive x direction.
2. **Time of Collision:**
- We can find the time of collision by calculating the distance covered by the balls relative to each other.
- Since both balls are thrown simultaneously, we can consider the time of collision to be the same for both balls.
- Let's assume the time of collision to be 't' seconds.
- The distance covered by the ball with a velocity of 0.1 m/s in time 't' seconds is given by the equation: distance = velocity * time.
- The distance covered by the ball in time 't' seconds is equal to the length of the chamber, which is 4 m.
- Therefore, 0.1 m/s * t = 4 m.
- Solving this equation, we can find the value of 't'.
3. **Calculations:**
- 0.1 m/s * t = 4 m.
- Dividing both sides of the equation by 0.1, we get: t = 4 m / 0.1 m/s.
- Simplifying, we find: t = 40 seconds.
4. **Conclusion:**
- The two balls will collide with each other after 40 seconds.
Therefore, the time in seconds when the two balls hit each other is 40 seconds.
To solve this problem, we need to consider the motion of the two balls relative to the rocket and find the time at which they collide.
1. **Relative Motion of the Balls:**
- The ball thrown from the left end of the chamber has a velocity of 0.3 m/s in the positive x direction relative to the rocket.
- The ball thrown from the right end of the chamber has a velocity of 0.2 m/s in the negative x direction relative to the rocket.
- Therefore, the relative velocity between the two balls is the sum of their individual velocities: 0.3 m/s + (-0.2 m/s) = 0.1 m/s in the positive x direction.
2. **Time of Collision:**
- We can find the time of collision by calculating the distance covered by the balls relative to each other.
- Since both balls are thrown simultaneously, we can consider the time of collision to be the same for both balls.
- Let's assume the time of collision to be 't' seconds.
- The distance covered by the ball with a velocity of 0.1 m/s in time 't' seconds is given by the equation: distance = velocity * time.
- The distance covered by the ball in time 't' seconds is equal to the length of the chamber, which is 4 m.
- Therefore, 0.1 m/s * t = 4 m.
- Solving this equation, we can find the value of 't'.
3. **Calculations:**
- 0.1 m/s * t = 4 m.
- Dividing both sides of the equation by 0.1, we get: t = 4 m / 0.1 m/s.
- Simplifying, we find: t = 40 seconds.
4. **Conclusion:**
- The two balls will collide with each other after 40 seconds.
Therefore, the time in seconds when the two balls hit each other is 40 seconds.
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
|
|
Top Courses for JEEView all
A rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in x direction with a speed of 0.3 ms-1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 ms from right end relative to the rocket. The time in seconds when its the two balls hit each other is?
Question Description
A rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in x direction with a speed of 0.3 ms-1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 ms from right end relative to the rocket. The time in seconds when its the two balls hit each other is? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in x direction with a speed of 0.3 ms-1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 ms from right end relative to the rocket. The time in seconds when its the two balls hit each other is? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in x direction with a speed of 0.3 ms-1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 ms from right end relative to the rocket. The time in seconds when its the two balls hit each other is?.
A rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in x direction with a speed of 0.3 ms-1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 ms from right end relative to the rocket. The time in seconds when its the two balls hit each other is? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in x direction with a speed of 0.3 ms-1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 ms from right end relative to the rocket. The time in seconds when its the two balls hit each other is? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in x direction with a speed of 0.3 ms-1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 ms from right end relative to the rocket. The time in seconds when its the two balls hit each other is?.
Solutions for A rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in x direction with a speed of 0.3 ms-1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 ms from right end relative to the rocket. The time in seconds when its the two balls hit each other is? 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 rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in x direction with a speed of 0.3 ms-1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 ms from right end relative to the rocket. The time in seconds when its the two balls hit each other is? defined & explained in the simplest way possible. Besides giving the explanation of
A rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in x direction with a speed of 0.3 ms-1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 ms from right end relative to the rocket. The time in seconds when its the two balls hit each other is?, a detailed solution for A rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in x direction with a speed of 0.3 ms-1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 ms from right end relative to the rocket. The time in seconds when its the two balls hit each other is? has been provided alongside types of A rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in x direction with a speed of 0.3 ms-1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 ms from right end relative to the rocket. The time in seconds when its the two balls hit each other is? theory, EduRev gives you an
ample number of questions to practice A rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in x direction with a speed of 0.3 ms-1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2 ms from right end relative to the rocket. The time in seconds when its the two balls hit each other is? 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