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Comprehension # 4 When the mass of a s...

Comprehension # 4
When the mass of a sytem is variable, a thrust force has to be applied on it in addition to all other forces acting on it. This thrust force is given by : `vec(F) = vec(v)_(r) (+- (dm)/(dt))`

Here `vec(v)_(r)` is the relative velocity with shich the mass dm either or leaves the system. A car has total mass `50 kg`. Gases are ejected from this backwards with relative velocity `20 m//s`. The rate of ejection of gas is `2 kg//s`. Total mass of gas is `20 kg`. Coefficient of friction between the car and road is `mu = 0.1`.
Car will stop after (from starting) `t =` ........... seconds :-

A

`12.2`

B

`6.4`

C

`10.6`

D

`1.2`

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The correct Answer is:
C
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Comprehension # 4 When the mass of a sytem is variable, a thrust force has to be applied on it in addition to all other forces acting on it. This thrust force is given by : vec(F) = vec(v)_(r) (+- (dm)/(dt)) Here vec(v)_(r) is the relative velocity with shich the mass dm either or leaves the system. A car has total mass 50 kg . Gases are ejected from this backwards with relative velocity 20 m//s . The rate of ejection of gas is 2 kg//s . Total mass of gas is 20 kg . Coefficient of friction between the car and road is mu = 0.1 . Car will start moving after time t = ......... second :-

Comprehension # 4 When the mass of a sytem is variable, a thrust force has to be applied on it in addition to all other forces acting on it. This thrust force is given by : vec(F) = vec(v)_(r) (+- (dm)/(dt)) Here vec(v)_(r) is the relative velocity with shich the mass dm either or leaves the system. A car has total mass 50 kg . Gases are ejected from this backwards with relative velocity 20 m//s . The rate of ejection of gas is 2 kg//s . Total mass of gas is 20 kg . Coefficient of friction between the car and road is mu = 0.1 . Maximum speed of car willl be v = ....... m//s :- (Take in (4)/(3) = 0.28 )

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