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A stone drop from height h reaches at earth surface in 1sec. If same stone taken to moon and drop freely from same height then it will reach the surface of moon in time?
Most Upvoted Answer
A stone drop from height h reaches at earth surface in 1sec. If same s...
On earth h=(1÷2)gt×th=5on moon,a=g÷65=(1÷2)(g÷6)t×t6=t×tt=√6 if you got it reply me
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A stone drop from height h reaches at earth surface in 1sec. If same s...
Answer:
Explanation of the scenario:
A stone is dropped from a height h on the earth's surface and it reaches the surface in 1 second. The time taken by the same stone to reach the surface of the moon when dropped from the same height is to be calculated.
Assumptions:
- The height h is assumed to be the same on both the earth and the moon.
- The gravitational force acting on the stone is assumed to be the same on both the earth and the moon.
Formula:
The formula to calculate the time taken by an object to fall freely from a certain height is given by:
t = √(2h/g)
where,
t = time taken
h = height
g = gravitational acceleration
Calculation:
On earth,
t = √(2h/g)
Given, t = 1 second
Squaring both sides, we get:
1 = 2h/g
Solving for h, we get:
h = g/2
On the moon, the gravitational acceleration is one-sixth of the earth's gravitational acceleration. Therefore,
gmoon = 1/6 * gearth
Substituting the value of gmoon in the above equation, we get:
hmoon = gmoon/2
hmoon = 1/12 * gearth
Final Answer:
Therefore, the time taken by the stone to reach the surface of the moon is calculated as follows:
tmoon = √(2hmoon/gmoon)
tmoon = √(2 * 1/12 * gearth / 1/6 * gearth)
tmoon = √(1/4)
tmoon = 1/2 seconds
Therefore, the stone will take 1/2 seconds to reach the surface of the moon when dropped from the same height as it was dropped on earth.
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A stone drop from height h reaches at earth surface in 1sec. If same stone taken to moon and drop freely from same height then it will reach the surface of moon in time?
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A stone drop from height h reaches at earth surface in 1sec. If same stone taken to moon and drop freely from same height then it will reach the surface of moon in time? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A stone drop from height h reaches at earth surface in 1sec. If same stone taken to moon and drop freely from same height then it will reach the surface of moon in time? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone drop from height h reaches at earth surface in 1sec. If same stone taken to moon and drop freely from same height then it will reach the surface of moon in time?.
A stone drop from height h reaches at earth surface in 1sec. If same stone taken to moon and drop freely from same height then it will reach the surface of moon in time? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A stone drop from height h reaches at earth surface in 1sec. If same stone taken to moon and drop freely from same height then it will reach the surface of moon in time? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone drop from height h reaches at earth surface in 1sec. If same stone taken to moon and drop freely from same height then it will reach the surface of moon in time?.
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