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A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the top
- a)1 s
- b)4 s
- c)2s
- d)16 s
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A body sliding on a smooth inclined plane requires 4 seconds to reach ...
Given information:
- A body is sliding on a smooth inclined plane.
- The body takes 4 seconds to reach the bottom starting from rest at the top.
To find:
How much time does it take to cover one-fourth distance starting from rest at the top?
Solution:
To solve this problem, we can use the concept of time and distance.
Step 1: Understanding the motion of the body
- The body starts from rest at the top of the inclined plane.
- It accelerates due to the force of gravity while sliding down the plane.
- At the bottom of the plane, the body reaches its maximum speed and stops accelerating.
- The body covers a certain distance in a given time period.
Step 2: Analyzing the given information
- The body takes 4 seconds to cover the entire distance from the top to the bottom.
- Therefore, the total time taken is 4 seconds.
- We need to find the time taken to cover one-fourth of the distance.
Step 3: Calculating the time taken to cover one-fourth distance
- Let's assume the total distance from the top to the bottom is D.
- The time taken to cover one-fourth of the distance is T.
- We know that the time taken to cover a certain distance is directly proportional to the square root of that distance.
- Therefore, we can write the equation as:
(T/4)^0.5 = 4^0.5 (since T/4 is one-fourth of the total distance, and 4 is the total time taken)
- Simplifying the equation, we get:
T/4 = 4
T = 4 * 4
T = 16 seconds
Step 4: Conclusion
- The time taken to cover one-fourth distance starting from rest at the top is 16 seconds.
- A body is sliding on a smooth inclined plane.
- The body takes 4 seconds to reach the bottom starting from rest at the top.
To find:
How much time does it take to cover one-fourth distance starting from rest at the top?
Solution:
To solve this problem, we can use the concept of time and distance.
Step 1: Understanding the motion of the body
- The body starts from rest at the top of the inclined plane.
- It accelerates due to the force of gravity while sliding down the plane.
- At the bottom of the plane, the body reaches its maximum speed and stops accelerating.
- The body covers a certain distance in a given time period.
Step 2: Analyzing the given information
- The body takes 4 seconds to cover the entire distance from the top to the bottom.
- Therefore, the total time taken is 4 seconds.
- We need to find the time taken to cover one-fourth of the distance.
Step 3: Calculating the time taken to cover one-fourth distance
- Let's assume the total distance from the top to the bottom is D.
- The time taken to cover one-fourth of the distance is T.
- We know that the time taken to cover a certain distance is directly proportional to the square root of that distance.
- Therefore, we can write the equation as:
(T/4)^0.5 = 4^0.5 (since T/4 is one-fourth of the total distance, and 4 is the total time taken)
- Simplifying the equation, we get:
T/4 = 4
T = 4 * 4
T = 16 seconds
Step 4: Conclusion
- The time taken to cover one-fourth distance starting from rest at the top is 16 seconds.
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A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the topa)1 sb)4 sc)2sd)16 sCorrect answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the topa)1 sb)4 sc)2sd)16 sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the topa)1 sb)4 sc)2sd)16 sCorrect answer is option 'C'. Can you explain this answer?.
A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the topa)1 sb)4 sc)2sd)16 sCorrect answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the topa)1 sb)4 sc)2sd)16 sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the topa)1 sb)4 sc)2sd)16 sCorrect answer is option 'C'. Can you explain this answer?.
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