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A stone was dropped freely in a river flowing down a bridge. The stone takes 2 seconds in touching the water surface. The height of the bridge is
- a)8m
- b)16m
- c)19.7m
- d)19.6m
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A stone was dropped freely in a river flowing down a bridge. The stone...
Understanding the Problem
A stone is dropped from a bridge and takes 2 seconds to reach the water surface below. We need to calculate the height of the bridge using the principles of free fall.
Key Concepts
- In free fall, the only force acting on the object is gravity.
- The acceleration due to gravity (g) is approximately 9.8 m/s².
Formula for Distance in Free Fall
The distance (h) fallen by an object in free fall can be calculated using the formula:
h = (1/2) * g * t²
Where:
- h = height (in meters)
- g = acceleration due to gravity (9.8 m/s²)
- t = time (in seconds)
Calculating the Height
Given:
- g = 9.8 m/s²
- t = 2 seconds
Substituting the values into the formula:
- h = (1/2) * 9.8 * (2)²
- h = (1/2) * 9.8 * 4
- h = (1/2) * 39.2
- h = 19.6 m
Conclusion
The height of the bridge is 19.6 meters, which corresponds to option 'D'.
This calculation illustrates the effect of gravity on an object in free fall and confirms the correct answer for the problem.
A stone is dropped from a bridge and takes 2 seconds to reach the water surface below. We need to calculate the height of the bridge using the principles of free fall.
Key Concepts
- In free fall, the only force acting on the object is gravity.
- The acceleration due to gravity (g) is approximately 9.8 m/s².
Formula for Distance in Free Fall
The distance (h) fallen by an object in free fall can be calculated using the formula:
h = (1/2) * g * t²
Where:
- h = height (in meters)
- g = acceleration due to gravity (9.8 m/s²)
- t = time (in seconds)
Calculating the Height
Given:
- g = 9.8 m/s²
- t = 2 seconds
Substituting the values into the formula:
- h = (1/2) * 9.8 * (2)²
- h = (1/2) * 9.8 * 4
- h = (1/2) * 39.2
- h = 19.6 m
Conclusion
The height of the bridge is 19.6 meters, which corresponds to option 'D'.
This calculation illustrates the effect of gravity on an object in free fall and confirms the correct answer for the problem.
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Community Answer
A stone was dropped freely in a river flowing down a bridge. The stone...
H=9.8×2=19.6. g=9.8
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A stone was dropped freely in a river flowing down a bridge. The stone takes 2 seconds in touching the water surface. The height of the bridge isa)8mb)16mc)19.7md)19.6mCorrect answer is option 'D'. Can you explain this answer?
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