A man of mass m is at rest on a stationary flat car. The car can move without friction along horizontal rails. The man starts walking with velocity v relative to the car, work done by him m
mv 2 if he walks along the rails
mv 2 if he walks normal to the rails
mv 2
mv 2 if he walks along the rails
Text Solution
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(a, b)
If the man walks along the rails, some velocity say V is imparted to car also. Let M be the mass of car. Then from conservation of linear momentum.
M.V = m(v – V)
∴ V = 
∴ work done by man
= 
m (v – V) 2 + 
MV 2 = 
+ 
= 
v 2 < 
mv 2
Hence, option is correct. If the man moves normal to the rails then car will not move. Hence, work done by him in the case will be 
mv 2 and option is also correct.
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