Q.6. A truck starts from rest and rolls down a hill with a constant acceleration. It travels a
distance of 400m in 20 seconds. Find its acceleration. Find the force acting on it, if its mass
is 7 tonne. (1 tonne = 1000 kg)
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2
Answer:
Explanation:
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Answered by
11
Answer:
Acceleration,a = 2ms^-2
Force,f = 1400N
Explanation:
Given :
Initial velocity of the truck,u => 0 [Since truck starts from rest]
Distance travelled,s => 400m
Time taken,t => 20s
Mass,m => 7 tonnes = (7 × 1000)kg = 7000kg
To Find :
Accelaration,a => ?
Force,f => ?
Solution :
We know that :-
\rm{s=ur+\dfrac{1}{2}at^2
\rightarrow\rm{400m=0\times 20s+\dfrac{1}{2}\times a\times(20)s^2
\rightarrow \rm{400m=0+\dfrac{1}{2}\times a\times400s^{2}
\rightarrow\rm{}400m=\dfrac{1}{1}\times a\times 200s^2→400m=
1
1
×a×200s
2
\rightarrow\rm{400m=a\times200s^2}→400m=a×200s
2
\rightarrow \rm{a=\dfrac{400m}{200s^2}
\rightarrow\rm{a=2ms^{-2}}→a=2ms
−2
Force = m × a
⇒ F = 7000kg × 2ms^-2
⇒ F = 1400N
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