A car weighing 1000kg and travelling at 30m/s syops at a distance of 50m deaccelerating uniformly . what is the force exerted on it by the brakes ? what is the work done by the brakes??
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Answer:acceleration=9m/s^2
Work done= 450000J
Explanation:
a) 2as=v^2-u/^2
where ‘v’ is final velocity
‘u’ is initial velocity
‘a’ is acceleration
‘s’ is displacement
Using this eq
2(a)(50)=0^2-30^2
100a=0-900
a=-9ms^-2
So deceleration is 9(not -9)
b) W=F.d. Eq1
where ‘F’ is force
‘d’ is diplacement
Since
F=ma Eq2
‘m’ is mass
‘a’ is acceleration
Using eq 2
F=1000x9
= 9000N
Using eq 1
W=9000x50
=450000J
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