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Man on ice sheet: Can he reach solid land by throwing the rock; how long will it take?

A man of 60 kg mass is stuck on a sheet of ice 10m from solid land. The coefficient of friction between the man and ice is 0.03. He has a 5 kg rock which he can throw with a speed of 12 m/s.

a) Can he reach solid land by throwing the rock?
b) If so, how long will it take him?

Solution Preview

a.) The man throws rock of mass 5 Kg with speed 12 m/sec, by law of conservation of momentum, the man will get some initial velocity.
m1*v1 = m2*v2
=>60*v1 = 5*12
=> v1 = 1 m/sec
Now, let the man stops after travelling a distance s.
work done ...

Solution Summary

with full calculations and explanations, the problem is solved.