03. Attempt the following questions.
7. A truck of mass 5 ton is travelling on a horizontal road with 36 km/hr, stops on travelling 1 km
after it's engine fails suddenly. What fraction of it's weight is the frictional force exerted by road?
If we assume that the story repeats for a car of mass 1 ton ie car moving with same speed stops at
similar distance, how much will the fraction be!
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Answer:
to calculate the value of gravity here is the final formula
μ= 1/(2 x g x d)
g= gravity constant
d= distance
here are the steps to calculate this formula
final velocity - initial velocity = 2 x a x d equation 1
a can be calculated form
F = ma = -μ x mx g ( force applied = force stopping)
m will cancel out
a= -μ x g
put this in equation 1
36km/h ( 36 * 1000/3600) to convert it in to m/s
( 1m/s ) inital speed
0- 1m/s = 2 ( -μ x g ) x d
-1m/s = 2 ( -μ) x 10 x 1000 (m)
mins sign will cancel out
and equation will be like
μ= 1/(2 x 10 x 1000)
so the answer will be
1/20000 or 0.00005
or 0.5 x 10 ^ -4
Explanation:
i hope it's very easy for you
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