Q.26 If the engine of a car provides an acceleration of 2 m/s to start it from rest then assuming
the mass to be roughly 1000 kg. Calculate the
(1) force provided by the engine, (in) velocity after 10 s
(iii) and time after which the car comes to rest, if the engine is turned off after 15 s (Take
frictional force = 15 N)
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Answer:
(i)a=2m/s^2;m=1000kg
a)force provided by the engine is
F=ma=1000×2=2000N
(b)After t=10s,the velocity will be
v=u+at =0+2×10=20m/s
Hence,the momentum will be
P10=mv=1000×20=20000kg m/s.
c)Engine is turned of after 15seconds.
so,the speed with the train would be moving is
v=0+at=2×15=30m/s
This is the frictional force,f=15N
Hence,the decleration provided is
a=15/1000=0.015m/s^2
Therefore,the time taken to stop the car is
t=v-u/t=0-30/-0.015=2000s=33.33mins
(ii)The force required to accelerated the motion of a body is unbalanced force.This is in accordance with Newton's first law of motion.
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