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A 50 m long train passes over a bridge at a speed of 30 km/h. If it takes 36 seconds to cross the bridge, calculate the length of the bridge. - Physics

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Question

A 50 m long train passes over a bridge at a speed of 30 km/h. If it takes 36 seconds to cross the bridge, calculate the length of the bridge.

Short Note

Solution

Speed of train = 30 km/hr.
Speed in m/s = ( 30 X1000 )/3600 = 50/6 m/s.
Length of train = 50 m.
Let the length of the bridge be s metre.
The train has to cover a total distance of 50 +s to cross that bridge.
Time taken by train to cover this distance = 36 sec.
So as time taken = total distance /total time taken.
36 = ( 50 +s ) X 6/ 50.
1800 = 300 + 6s
6s = 1500.
S = 1500/6 = 250m
Length of bridge is 250 m.

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Chapter 2: Motion in One Dimension - Exercise 3 [Page 86]

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Frank Physics [English] Class 9 ICSE
Chapter 2 Motion in One Dimension
Exercise 3 | Q 59 | Page 86
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