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Two steel balls, one which weighs twice as much as the other, roll off a horizontal table with the same speeds. In this situation,
- a)the lighter ball impacts the floor at about half the horizontal distance from the base of the table than does the heavier.
- b)the heavier ball impacts the floor at about half the horizontal distance from the base of the table than does the lighter.
- c)both balls impact the floor at approximately the same horizontal distance from the base of the table.
- d)the heavier ball hits considerably closer, to the base of the table than the lighter, but not necessarily half the horizontal distance.
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Two steel balls, one which weighs twice as much as the other, roll off...
Both the balls have same velocity.. so horizontal range would be same.. as range doesn't depend on masses
R= u^2 sin2@/g
range will be same but impulsive force and momentum imparted on hitting the ground by the heavier ball will be more than lighter
R= u^2 sin2@/g
range will be same but impulsive force and momentum imparted on hitting the ground by the heavier ball will be more than lighter
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Community Answer
Two steel balls, one which weighs twice as much as the other, roll off...
Brief Explanation:
When two steel balls with different weights but the same speed roll off a horizontal table, they will both have the same initial horizontal velocity. This is because the speed of an object rolling off a table is determined by its vertical drop, not its weight. Therefore, both balls will have the same horizontal velocity when they hit the floor.
Explanation:
1. Initial Horizontal Velocity:
- Both balls have the same initial horizontal velocity because their speeds are the same when rolling off the table.
- The weight of the balls does not affect their initial horizontal velocity.
2. Vertical Acceleration:
- The vertical acceleration due to gravity is the same for both balls.
- Both balls experience the same acceleration towards the ground.
- The weight of the balls does not affect their vertical acceleration.
3. Time of Flight:
- Both balls take the same time to reach the ground.
- The time of flight is determined by the vertical distance traveled and the vertical acceleration, which are the same for both balls.
4. Horizontal Distance:
- The horizontal distance traveled by an object depends on its horizontal velocity and the time of flight.
- Since both balls have the same horizontal velocity and time of flight, they will cover the same horizontal distance.
5. Conclusion:
- Both balls impact the floor at approximately the same horizontal distance from the base of the table.
- The weight of the balls does not affect their horizontal distance traveled.
Example:
To further illustrate, let's consider an example.
- Suppose the lighter ball weighs 1 kg and the heavier ball weighs 2 kg.
- Both balls are rolled off the table with the same speed.
- The horizontal distance from the base of the table to where the lighter ball impacts the floor is x meters.
- According to the given information, the heavier ball will also impact the floor at approximately the same horizontal distance from the base of the table, which is x meters.
- The ratio of their weights (2 kg/1 kg) does not affect the horizontal distance they travel.
Therefore, in this situation, both balls impact the floor at approximately the same horizontal distance from the base of the table (Option C).
When two steel balls with different weights but the same speed roll off a horizontal table, they will both have the same initial horizontal velocity. This is because the speed of an object rolling off a table is determined by its vertical drop, not its weight. Therefore, both balls will have the same horizontal velocity when they hit the floor.
Explanation:
1. Initial Horizontal Velocity:
- Both balls have the same initial horizontal velocity because their speeds are the same when rolling off the table.
- The weight of the balls does not affect their initial horizontal velocity.
2. Vertical Acceleration:
- The vertical acceleration due to gravity is the same for both balls.
- Both balls experience the same acceleration towards the ground.
- The weight of the balls does not affect their vertical acceleration.
3. Time of Flight:
- Both balls take the same time to reach the ground.
- The time of flight is determined by the vertical distance traveled and the vertical acceleration, which are the same for both balls.
4. Horizontal Distance:
- The horizontal distance traveled by an object depends on its horizontal velocity and the time of flight.
- Since both balls have the same horizontal velocity and time of flight, they will cover the same horizontal distance.
5. Conclusion:
- Both balls impact the floor at approximately the same horizontal distance from the base of the table.
- The weight of the balls does not affect their horizontal distance traveled.
Example:
To further illustrate, let's consider an example.
- Suppose the lighter ball weighs 1 kg and the heavier ball weighs 2 kg.
- Both balls are rolled off the table with the same speed.
- The horizontal distance from the base of the table to where the lighter ball impacts the floor is x meters.
- According to the given information, the heavier ball will also impact the floor at approximately the same horizontal distance from the base of the table, which is x meters.
- The ratio of their weights (2 kg/1 kg) does not affect the horizontal distance they travel.
Therefore, in this situation, both balls impact the floor at approximately the same horizontal distance from the base of the table (Option C).
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Two steel balls, one which weighs twice as much as the other, roll off a horizontal table with the same speeds. In this situation,a)the lighter ball impacts the floor at about half the horizontal distance from the base of the table than does the heavier.b)the heavier ball impacts the floor at about half the horizontal distance from the base of the table than does the lighter.c)both balls impact the floor at approximately the same horizontal distance from the base of the table.d)the heavier ball hits considerably closer, to the base of the table than the lighter, but not necessarily half the horizontal distance.Correct answer is option 'C'. Can you explain this answer?
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Two steel balls, one which weighs twice as much as the other, roll off a horizontal table with the same speeds. In this situation,a)the lighter ball impacts the floor at about half the horizontal distance from the base of the table than does the heavier.b)the heavier ball impacts the floor at about half the horizontal distance from the base of the table than does the lighter.c)both balls impact the floor at approximately the same horizontal distance from the base of the table.d)the heavier ball hits considerably closer, to the base of the table than the lighter, but not necessarily half the horizontal distance.Correct answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two steel balls, one which weighs twice as much as the other, roll off a horizontal table with the same speeds. In this situation,a)the lighter ball impacts the floor at about half the horizontal distance from the base of the table than does the heavier.b)the heavier ball impacts the floor at about half the horizontal distance from the base of the table than does the lighter.c)both balls impact the floor at approximately the same horizontal distance from the base of the table.d)the heavier ball hits considerably closer, to the base of the table than the lighter, but not necessarily half the horizontal distance.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two steel balls, one which weighs twice as much as the other, roll off a horizontal table with the same speeds. In this situation,a)the lighter ball impacts the floor at about half the horizontal distance from the base of the table than does the heavier.b)the heavier ball impacts the floor at about half the horizontal distance from the base of the table than does the lighter.c)both balls impact the floor at approximately the same horizontal distance from the base of the table.d)the heavier ball hits considerably closer, to the base of the table than the lighter, but not necessarily half the horizontal distance.Correct answer is option 'C'. Can you explain this answer?.
Two steel balls, one which weighs twice as much as the other, roll off a horizontal table with the same speeds. In this situation,a)the lighter ball impacts the floor at about half the horizontal distance from the base of the table than does the heavier.b)the heavier ball impacts the floor at about half the horizontal distance from the base of the table than does the lighter.c)both balls impact the floor at approximately the same horizontal distance from the base of the table.d)the heavier ball hits considerably closer, to the base of the table than the lighter, but not necessarily half the horizontal distance.Correct answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two steel balls, one which weighs twice as much as the other, roll off a horizontal table with the same speeds. In this situation,a)the lighter ball impacts the floor at about half the horizontal distance from the base of the table than does the heavier.b)the heavier ball impacts the floor at about half the horizontal distance from the base of the table than does the lighter.c)both balls impact the floor at approximately the same horizontal distance from the base of the table.d)the heavier ball hits considerably closer, to the base of the table than the lighter, but not necessarily half the horizontal distance.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two steel balls, one which weighs twice as much as the other, roll off a horizontal table with the same speeds. In this situation,a)the lighter ball impacts the floor at about half the horizontal distance from the base of the table than does the heavier.b)the heavier ball impacts the floor at about half the horizontal distance from the base of the table than does the lighter.c)both balls impact the floor at approximately the same horizontal distance from the base of the table.d)the heavier ball hits considerably closer, to the base of the table than the lighter, but not necessarily half the horizontal distance.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Two steel balls, one which weighs twice as much as the other, roll off a horizontal table with the same speeds. In this situation,a)the lighter ball impacts the floor at about half the horizontal distance from the base of the table than does the heavier.b)the heavier ball impacts the floor at about half the horizontal distance from the base of the table than does the lighter.c)both balls impact the floor at approximately the same horizontal distance from the base of the table.d)the heavier ball hits considerably closer, to the base of the table than the lighter, but not necessarily half the horizontal distance.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
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