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Inside a lift accelerating up at 2m/s^2 a loose bolt falls from its ceiling. If height of lift is 2m, find the speed of bolt with which it hits the floor . Initial speed of lift is 5m/s in upward direction.?
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Problem:

In a lift accelerating up at 2m/s^2, a loose bolt falls from its ceiling. If the height of the lift is 2m, find the speed of the bolt with which it hits the floor. The initial speed of the lift is 5m/s in an upward direction.


Solution:

Firstly we need to find the time taken by the bolt to fall from the ceiling to the floor:


Using the formula: s = ut + 1/2 at^2


  • s = 2m (height of the lift)

  • u = 0 (initial velocity of the bolt)

  • a = 9.8m/s^2 (acceleration due to gravity)



Substituting the values, we have:

2 = 0 x t + 1/2 x 9.8 x t^2

2 = 4.9t^2

t^2 = 2/4.9

t = 0.642s


Now, we can find the final velocity of the bolt just before it hits the floor:


Using the formula: v = u + at


  • u = 5m/s (initial velocity of the lift)

  • a = 2m/s^2 (acceleration of the lift)

  • t = 0.642s (time taken by the bolt to fall)



Substituting the values, we have:

v = 5 + 2 x 0.642

v = 6.284m/s


Answer:

The speed of the bolt with which it hits the floor is 6.284m/s.
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Inside a lift accelerating up at 2m/s^2 a loose bolt falls from its ceiling. If height of lift is 2m, find the speed of bolt with which it hits the floor . Initial speed of lift is 5m/s in upward direction.?
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Inside a lift accelerating up at 2m/s^2 a loose bolt falls from its ceiling. If height of lift is 2m, find the speed of bolt with which it hits the floor . Initial speed of lift is 5m/s in upward direction.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Inside a lift accelerating up at 2m/s^2 a loose bolt falls from its ceiling. If height of lift is 2m, find the speed of bolt with which it hits the floor . Initial speed of lift is 5m/s in upward direction.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Inside a lift accelerating up at 2m/s^2 a loose bolt falls from its ceiling. If height of lift is 2m, find the speed of bolt with which it hits the floor . Initial speed of lift is 5m/s in upward direction.?.
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