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Two bodies of mass 1 kg and 100 kg respectively are dropped simultaneously from same height 4.9m in vacuum.Calculate and compare their final velocities just before hitting the ground and the time interval in which they will hit the ground?
Most Upvoted Answer
Two bodies of mass 1 kg and 100 kg respectively are dropped simultaneo...
Hiii mate, here's ur answer:-
Mass of first body = 1 kg
Mass of second body = 100 kg
Height from where the bodies have been dropped = 4.9 m.
All these are acting in vacuum, thus no external force will act.
Now as the only force acting on the bodies is the gravity. Final
velocity and Time interval in which they will hit the ground will be same for both the bodies.
Initial velocity for both the bodies = 0 m/s since both the bodies are being dropped from rest at some height.
Now using Newton's equation of motion:
v
2
= u2
+ 2gswe get, v = 9.8 m/s
From equation, v = u + gt
we get t = 1 sec.
Hope it helps...cheers!!
Community Answer
Two bodies of mass 1 kg and 100 kg respectively are dropped simultaneo...
Calculation of Final Velocities and Time of Impact
Calculating Time of Impact
- Both the bodies are dropped from the same height, h = 4.9m.
- Acceleration due to gravity, g = 9.8 m/s^2
- Time taken by both the bodies to hit the ground can be calculated using the formula, t = sqrt(2h/g).
- Substituting the values, we get, t = sqrt(2*4.9/9.8) = 1 second.
Calculating Final Velocities
- Final velocity of an object dropped from a height is given by the formula, v = sqrt(2gh).
- For the 1 kg mass, final velocity, v1 = sqrt(2*9.8*4.9) = 19.8 m/s.
- For the 100 kg mass, final velocity, v2 = sqrt(2*9.8*4.9) = 19.8 m/s.
Comparison of Final Velocities
- Both the masses have the same final velocity just before hitting the ground, which is 19.8 m/s.
- This is because the final velocity only depends on the height from which the objects are dropped and is independent of the mass of the objects.
Comparison of Time of Impact
- Both the masses hit the ground at the same time, which is 1 second.
- The time taken for an object to fall from a particular height is independent of its mass and depends only on the height of the fall.
Conclusion
- Both the 1 kg and 100 kg masses have the same final velocity and hit the ground at the same time when dropped from the same height in vacuum.
- This is because the final velocity and time of impact depend only on the height of the fall and are independent of the mass of the object.
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Two bodies of mass 1 kg and 100 kg respectively are dropped simultaneously from same height 4.9m in vacuum.Calculate and compare their final velocities just before hitting the ground and the time interval in which they will hit the ground?
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Two bodies of mass 1 kg and 100 kg respectively are dropped simultaneously from same height 4.9m in vacuum.Calculate and compare their final velocities just before hitting the ground and the time interval in which they will hit the ground? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two bodies of mass 1 kg and 100 kg respectively are dropped simultaneously from same height 4.9m in vacuum.Calculate and compare their final velocities just before hitting the ground and the time interval in which they will hit the ground? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bodies of mass 1 kg and 100 kg respectively are dropped simultaneously from same height 4.9m in vacuum.Calculate and compare their final velocities just before hitting the ground and the time interval in which they will hit the ground?.
Two bodies of mass 1 kg and 100 kg respectively are dropped simultaneously from same height 4.9m in vacuum.Calculate and compare their final velocities just before hitting the ground and the time interval in which they will hit the ground? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two bodies of mass 1 kg and 100 kg respectively are dropped simultaneously from same height 4.9m in vacuum.Calculate and compare their final velocities just before hitting the ground and the time interval in which they will hit the ground? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bodies of mass 1 kg and 100 kg respectively are dropped simultaneously from same height 4.9m in vacuum.Calculate and compare their final velocities just before hitting the ground and the time interval in which they will hit the ground?.
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