All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Class 11 Exam  >  Class 11 Questions  >  A juggler keeps 5 balls going with one hand, ... Start Learning for Free
SaveJoin the Discussion on the App
A juggler keeps 5 balls going with one hand, so that at any instant 4 balls are in air and one ball in the hand. if each ball rises to a height 20 m then the time for which each ball stays in hand.??
Clear all your Class 11 doubts with EduRev
Most Upvoted Answer
A juggler keeps 5 balls going with one hand, so that at any instant 4 ...
**Juggling Pattern:**

The juggling pattern described in the question states that the juggler keeps 5 balls going with one hand. At any given instant, 4 balls are in the air while one ball remains in the hand. This means that the juggler continuously throws and catches the balls in a specific rhythm to maintain this pattern.

**Time for Each Ball in Hand:**

To calculate the time for which each ball stays in the hand, we need to consider the time it takes for one complete cycle of throwing and catching the balls.

Let's break down the juggling pattern step by step:

1. **Throwing the First Ball:** The juggler starts by throwing the first ball from their hand, which takes some time. Let's assume this time as 't'.

2. **Throwing the Second Ball:** As soon as the first ball is thrown, the juggler quickly throws the second ball. This requires minimal time as it is a quick motion.

3. **Throwing the Third Ball:** The juggler then throws the third ball, again requiring minimal time.

4. **Throwing the Fourth Ball:** The fourth ball is thrown, similar to the previous two throws.

5. **Catching the First Ball:** After throwing the fourth ball, the juggler catches the first ball that was thrown. This also takes some time, assumed as 't'.

6. **Throwing the Fifth Ball:** As the first ball is caught, the juggler immediately throws the fifth ball.

7. **Catching the Second Ball:** The juggler then catches the second ball, which requires time 't'.

8. **Catching the Third Ball:** The third ball is caught, again requiring time 't'.

9. **Catching the Fourth Ball:** The fourth ball is caught, similar to the previous two catches.

10. **Catching the Fifth Ball:** Finally, the juggler catches the fifth ball, completing the cycle.

**Total Time for Each Cycle:**

In one complete cycle, the juggler throws and catches all five balls. The time taken for each throw and catch is 't', and there are a total of 5 throws and 5 catches in a cycle.

Therefore, the total time for each cycle is 10t (5 throws + 5 catches).

**Time for Each Ball in Hand:**

Since there are 4 balls in the air at any given instant, only one ball remains in the hand. Therefore, the time for which each ball stays in the hand is one-fourth of the total time for each cycle.

Hence, the time for each ball in the hand is (10t)/4 = 2.5t.

Therefore, each ball stays in the hand for a time of 2.5t.
Community Answer
A juggler keeps 5 balls going with one hand, so that at any instant 4 ...
Yes, are wright, ans. is 1s.explanation- assume that man has thrown his first ball. now it will again come back in 4 s. before this he has to catch 4 other balls. hence in 4 s he has to catch 4 balls. hence time period for each ball in hand is 4/4 = 1 s.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
Explore Courses for Class 11 exam

Similar Class 11 Doubts

Newton's CradleThe device consists of a row of five metal balls positioned to just barely touch one another suspended from a frame by thin wires. On a small cradles, the balls are hung from the crossbars by light wire, with the balls at the point of an inverted triangle. This ensures that the balls can only swing in one plane, parallel to the crossbars. If the ball could move on any other plane, it would impart less energy to the other balls in the impact or miss them altogether, and the device wouldn't work as well, if at all. All the balls are, ideally, exactly the same size, weight, mass and density. As long as the balls are all the same size and density, they can be as big or as small as you like. The balls must be perfectly aligned at the center to make the cradle work the best.When a ball on one end of the cradle is pulled away from the others and then released, it strikes the next ball in the cradle, which remains motionless. But the last ball on the opposite end of the row is thrown into the air, then swings back to strike the other balls, starting the chain reaction again in reverse. This device illustrates the three main principles of Physics - conservation of energy, conservation of momentum and friction. Everything that moves has momentum equal to its mass multiplied by its velocity. Like energy, momentum is also conserved. Momentum is a vector quantity, when 1st ball hits 2nd ball, it's traveling in a specific direction, let's say east to west. This means that its momentum is also moving east to west. Any change in direction of the motion brings a change in the momentum, which cannot happen without the influence of an outside force. That is why 1st ball doesn't simply bounce off 2nd ball, the momentum carries the energy through all the balls in a westward direction. It is to remember that the law of conservation only works in a closed system, which is free from any external force. The Newton's cradle is not a closed system. When 5th ball swings out away from the rest of the balls, it is affected by the force of gravity, which brings the ball down. But, the horizontal line of balls at rest, functions as a closed system, free from any influence of any force other than gravity. It's here, during the small time between the first ball's impact and the 5th ball swinging out, that momentum is conserved.When the 1st ball at one end of the cradle is pulled away and then released, then

Newton's CradleThe device consists of a row of five metal balls positioned to just barely touch one another suspended from a frame by thin wires. On a small cradles, the balls are hung from the crossbars by light wire, with the balls at the point of an inverted triangle. This ensures that the balls can only swing in one plane, parallel to the crossbars. If the ball could move on any other plane, it would impart less energy to the other balls in the impact or miss them altogether, and the device wouldn't work as well, if at all. All the balls are, ideally, exactly the same size, weight, mass and density. As long as the balls are all the same size and density, they can be as big or as small as you like. The balls must be perfectly aligned at the center to make the cradle work the best.When a ball on one end of the cradle is pulled away from the others and then released, it strikes the next ball in the cradle, which remains motionless. But the last ball on the opposite end of the row is thrown into the air, then swings back to strike the other balls, starting the chain reaction again in reverse. This device illustrates the three main principles of Physics - conservation of energy, conservation of momentum and friction. Everything that moves has momentum equal to its mass multiplied by its velocity. Like energy, momentum is also conserved. Momentum is a vector quantity, when 1st ball hits 2nd ball, it's traveling in a specific direction, let's say east to west. This means that its momentum is also moving east to west. Any change in direction of the motion brings a change in the momentum, which cannot happen without the influence of an outside force. That is why 1st ball doesn't simply bounce off 2nd ball, the momentum carries the energy through all the balls in a westward direction. It is to remember that the law of conservation only works in a closed system, which is free from any external force. The Newton's cradle is not a closed system. When 5th ball swings out away from the rest of the balls, it is affected by the force of gravity, which brings the ball down. But, the horizontal line of balls at rest, functions as a closed system, free from any influence of any force other than gravity. It's here, during the small time between the first ball's impact and the 5th ball swinging out, that momentum is conserved.When the momentum is conserved in Newton’s cradle?

Newton's CradleThe device consists of a row of five metal balls positioned to just barely touch one another suspended from a frame by thin wires. On a small cradles, the balls are hung from the crossbars by light wire, with the balls at the point of an inverted triangle. This ensures that the balls can only swing in one plane, parallel to the crossbars. If the ball could move on any other plane, it would impart less energy to the other balls in the impact or miss them altogether, and the device wouldn't work as well, if at all. All the balls are, ideally, exactly the same size, weight, mass and density. As long as the balls are all the same size and density, they can be as big or as small as you like. The balls must be perfectly aligned at the center to make the cradle work the best.When a ball on one end of the cradle is pulled away from the others and then released, it strikes the next ball in the cradle, which remains motionless. But the last ball on the opposite end of the row is thrown into the air, then swings back to strike the other balls, starting the chain reaction again in reverse. This device illustrates the three main principles of Physics - conservation of energy, conservation of momentum and friction. Everything that moves has momentum equal to its mass multiplied by its velocity. Like energy, momentum is also conserved. Momentum is a vector quantity, when 1st ball hits 2nd ball, it's traveling in a specific direction, let's say east to west. This means that its momentum is also moving east to west. Any change in direction of the motion brings a change in the momentum, which cannot happen without the influence of an outside force. That is why 1st ball doesn't simply bounce off 2nd ball, the momentum carries the energy through all the balls in a westward direction. It is to remember that the law of conservation only works in a closed system, which is free from any external force. The Newton's cradle is not a closed system. When 5th ball swings out away from the rest of the balls, it is affected by the force of gravity, which brings the ball down. But, the horizontal line of balls at rest, functions as a closed system, free from any influence of any force other than gravity. It's here, during the small time between the first ball's impact and the 5th ball swinging out, that momentum is conserved.In Newton’s cradle, the balls are hung from the crossbars by light wire, with the balls at the point of an inverted triangle. This ensures

Newton's CradleThe device consists of a row of five metal balls positioned to just barely touch one another suspended from a frame by thin wires. On a small cradles, the balls are hung from the crossbars by light wire, with the balls at the point of an inverted triangle. This ensures that the balls can only swing in one plane, parallel to the crossbars. If the ball could move on any other plane, it would impart less energy to the other balls in the impact or miss them altogether, and the device wouldn't work as well, if at all. All the balls are, ideally, exactly the same size, weight, mass and density. As long as the balls are all the same size and density, they can be as big or as small as you like. The balls must be perfectly aligned at the center to make the cradle work the best.When a ball on one end of the cradle is pulled away from the others and then released, it strikes the next ball in the cradle, which remains motionless. But the last ball on the opposite end of the row is thrown into the air, then swings back to strike the other balls, starting the chain reaction again in reverse. This device illustrates the three main principles of Physics - conservation of energy, conservation of momentum and friction. Everything that moves has momentum equal to its mass multiplied by its velocity. Like energy, momentum is also conserved. Momentum is a vector quantity, when 1st ball hits 2nd ball, it's traveling in a specific direction, let's say east to west. This means that its momentum is also moving east to west. Any change in direction of the motion brings a change in the momentum, which cannot happen without the influence of an outside force. That is why 1st ball doesn't simply bounce off 2nd ball, the momentum carries the energy through all the balls in a westward direction. It is to remember that the law of conservation only works in a closed system, which is free from any external force. The Newton's cradle is not a closed system. When 5th ball swings out away from the rest of the balls, it is affected by the force of gravity, which brings the ball down. But, the horizontal line of balls at rest, functions as a closed system, free from any influence of any force other than gravity. It's here, during the small time between the first ball's impact and the 5th ball swinging out, that momentum is conserved.What is a closed system?

Newton's CradleThe device consists of a row of five metal balls positioned to just barely touch one another suspended from a frame by thin wires. On a small cradles, the balls are hung from the crossbars by light wire, with the balls at the point of an inverted triangle. This ensures that the balls can only swing in one plane, parallel to the crossbars. If the ball could move on any other plane, it would impart less energy to the other balls in the impact or miss them altogether, and the device wouldn't work as well, if at all. All the balls are, ideally, exactly the same size, weight, mass and density. As long as the balls are all the same size and density, they can be as big or as small as you like. The balls must be perfectly aligned at the center to make the cradle work the best.When a ball on one end of the cradle is pulled away from the others and then released, it strikes the next ball in the cradle, which remains motionless. But the last ball on the opposite end of the row is thrown into the air, then swings back to strike the other balls, starting the chain reaction again in reverse. This device illustrates the three main principles of Physics - conservation of energy, conservation of momentum and friction. Everything that moves has momentum equal to its mass multiplied by its velocity. Like energy, momentum is also conserved. Momentum is a vector quantity, when 1st ball hits 2nd ball, it's traveling in a specific direction, let's say east to west. This means that its momentum is also moving east to west. Any change in direction of the motion brings a change in the momentum, which cannot happen without the influence of an outside force. That is why 1st ball doesn't simply bounce off 2nd ball, the momentum carries the energy through all the balls in a westward direction. It is to remember that the law of conservation only works in a closed system, which is free from any external force. The Newton's cradle is not a closed system. When 5th ball swings out away from the rest of the balls, it is affected by the force of gravity, which brings the ball down. But, the horizontal line of balls at rest, functions as a closed system, free from any influence of any force other than gravity. It's here, during the small time between the first ball's impact and the 5th ball swinging out, that momentum is conserved.Newton’s cradle illustrates the three main principles of Physics

Top Courses for Class 11View all

Top Courses for Class 11

A juggler keeps 5 balls going with one hand, so that at any instant 4 balls are in air and one ball in the hand. if each ball rises to a height 20 m then the time for which each ball stays in hand.??
Question Description
A juggler keeps 5 balls going with one hand, so that at any instant 4 balls are in air and one ball in the hand. if each ball rises to a height 20 m then the time for which each ball stays in hand.?? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A juggler keeps 5 balls going with one hand, so that at any instant 4 balls are in air and one ball in the hand. if each ball rises to a height 20 m then the time for which each ball stays in hand.?? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A juggler keeps 5 balls going with one hand, so that at any instant 4 balls are in air and one ball in the hand. if each ball rises to a height 20 m then the time for which each ball stays in hand.??.
Solutions for A juggler keeps 5 balls going with one hand, so that at any instant 4 balls are in air and one ball in the hand. if each ball rises to a height 20 m then the time for which each ball stays in hand.?? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A juggler keeps 5 balls going with one hand, so that at any instant 4 balls are in air and one ball in the hand. if each ball rises to a height 20 m then the time for which each ball stays in hand.?? defined & explained in the simplest way possible. Besides giving the explanation of A juggler keeps 5 balls going with one hand, so that at any instant 4 balls are in air and one ball in the hand. if each ball rises to a height 20 m then the time for which each ball stays in hand.??, a detailed solution for A juggler keeps 5 balls going with one hand, so that at any instant 4 balls are in air and one ball in the hand. if each ball rises to a height 20 m then the time for which each ball stays in hand.?? has been provided alongside types of A juggler keeps 5 balls going with one hand, so that at any instant 4 balls are in air and one ball in the hand. if each ball rises to a height 20 m then the time for which each ball stays in hand.?? theory, EduRev gives you an ample number of questions to practice A juggler keeps 5 balls going with one hand, so that at any instant 4 balls are in air and one ball in the hand. if each ball rises to a height 20 m then the time for which each ball stays in hand.?? tests, examples and also practice Class 11 tests.
Explore Courses for Class 11 exam

Top Courses for Class 11

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup