GATE Civil Engineering (CE) 2019 Shift 2 Solved Paper

Question : 35 of 65

Marks: +1, -0

A vehicle is moving on a road of grade

+4 \%

at a speed of

20 {m} {/} {s}

. Consider the coefficient of rolling friction as

0.46

and acceleration due to gravity as

10 {m} \/ {s}^{2} .

On applying brakes to reach a speed of

10 {m} {/} {s}

, the required braking distance (in

{m}

, round off to nearest integer) along the horizontal, is ________-.

Solution:

Given: grade

=+4 \%

{V}_{1}=20 {m} {/} {sec}

{f}=0.46

{g}=10 {m} {/} {sec}

{V}_{1}=10 {m} {/} {sec}

We know,

V_{2}^{2}=V_{1}^{2}+2 a s

(10)^{2}=(20)^{2}+2 s[-g(f+\;{n \%}/{100})]

⇒ \;\; s=30 {m}

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