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A 200m long train crosses a women travelling at 9km/h in opposite direction in 7.2s then the velocity of the train is?
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A 200m long train crosses a women travelling at 9km/h in opposite dire...
Problem:
A 200m long train crosses a woman traveling at 9km/h in the opposite direction in 7.2s. Find the velocity of the train.
Solution:
Given:
- Length of the train (L) = 200m
- Velocity of the woman (v) = 9 km/h = 9000 m/3600 s = 2.5 m/s
- Time taken to cross the woman (t) = 7.2s
We need to find the velocity of the train (V).
Approach:
- When a train crosses a stationary object, the relative velocity of the train with respect to the object is equal to the sum of their individual velocities.
- In this case, the woman is stationary, so the velocity of the train with respect to the woman is the velocity of the train itself.
- We can use the formula: V = (L + S) / t, where S is the distance covered by the train relative to the woman.
Calculation:
- Distance covered by the train relative to the woman (S) = Length of the train + Distance travelled by the woman = L + (v * t)
Substituting the values:
S = 200m + (2.5m/s * 7.2s)
S = 200m + 18m
S = 218m
V = S / t
V = 218m / 7.2s
V ≈ 30.28 m/s
Therefore, the velocity of the train is approximately 30.28 m/s.
Conclusion:
The velocity of the train is approximately 30.28 m/s.
A 200m long train crosses a woman traveling at 9km/h in the opposite direction in 7.2s. Find the velocity of the train.
Solution:
Given:
- Length of the train (L) = 200m
- Velocity of the woman (v) = 9 km/h = 9000 m/3600 s = 2.5 m/s
- Time taken to cross the woman (t) = 7.2s
We need to find the velocity of the train (V).
Approach:
- When a train crosses a stationary object, the relative velocity of the train with respect to the object is equal to the sum of their individual velocities.
- In this case, the woman is stationary, so the velocity of the train with respect to the woman is the velocity of the train itself.
- We can use the formula: V = (L + S) / t, where S is the distance covered by the train relative to the woman.
Calculation:
- Distance covered by the train relative to the woman (S) = Length of the train + Distance travelled by the woman = L + (v * t)
Substituting the values:
S = 200m + (2.5m/s * 7.2s)
S = 200m + 18m
S = 218m
V = S / t
V = 218m / 7.2s
V ≈ 30.28 m/s
Therefore, the velocity of the train is approximately 30.28 m/s.
Conclusion:
The velocity of the train is approximately 30.28 m/s.
Community Answer
A 200m long train crosses a women travelling at 9km/h in opposite dire...
25.3m/sec may be I just tried
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A 200m long train crosses a women travelling at 9km/h in opposite direction in 7.2s then the velocity of the train is?
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A 200m long train crosses a women travelling at 9km/h in opposite direction in 7.2s then the velocity of the train is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A 200m long train crosses a women travelling at 9km/h in opposite direction in 7.2s then the velocity of the train is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 200m long train crosses a women travelling at 9km/h in opposite direction in 7.2s then the velocity of the train is?.
A 200m long train crosses a women travelling at 9km/h in opposite direction in 7.2s then the velocity of the train is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A 200m long train crosses a women travelling at 9km/h in opposite direction in 7.2s then the velocity of the train is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 200m long train crosses a women travelling at 9km/h in opposite direction in 7.2s then the velocity of the train is?.
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