A car of mass 
is initially at rest on the boat of mass 
tied to the wall of dock through a massless, inextensible string. The car accelerates from rest to velocity 
in times 
. At 
the car applies brake and comes to rest relative to the boat in negligible time. Neglect friction between the boat and water; the time 
at which boat will strike the wall is
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a)
b)
c)
d)
None of these
is initially at rest on the boat of mass tied to the wall of dock through a massless, inextensible string. The car accelerates from rest to velocity in times . At the car applies brake and comes to rest relative to the boat in negligible time. Neglect friction between the boat and water; the time at which boat will strike the wall isa)
b)
c)
d)
None of these
Question ID - 100504 | SaraNextGen Top Answer A car of mass is initially at rest on the boat of mass tied to the wall of dock through a massless, inextensible string. The car accelerates from rest to velocity in times . At the car applies brake and comes to rest relative to the boat in negligible time. Neglect friction between the boat and water; the time at which boat will strike the wall is
a)
b)
c)
d)
None of these
A car of mass is initially at rest on the boat of mass tied to the wall of dock through a massless, inextensible string. The car accelerates from rest to velocity in times . At the car applies brake and comes to rest relative to the boat in negligible time. Neglect friction between the boat and water; the time at which boat will strike the wall is
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a) |
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b) |
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c) |
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d) |
None of these |
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(b) Till time
Time taken is |
friction on car will be in forward direction and on boat in backward direction. So the boat will not move till 
. Let 
be the velocity of car +boat system just after applying the brakes. From conservation of momentum,
