An ice skater 'A' of total mass 65kg slides on a frictionless frozen lake ina straight line with velocity 2m/s?
while moving,A throws his helmet weight 5kg horizontally with a velocity of 4m/s in the direction perpendicular to his direction of motion .
(a) Find the magnitude of the resultant velocity of A after throwing the helmet.
(b) Another skater 'B' of mass 45kg sliding freely in the opposite direction on a nearby parallel course with velocity 1m/s catches the helmet thrown by A.after catching the helmet,find the new velocity of B in;
(1)the original direction of motion of B
(2)the direction perpendicular to the original direction of motion B.
(c) Calculate the total kinetic energy of the helmet and the skater B just before B catches the helmet.
(d)Calculate also the kinetic energy of the helmet and the skater B after B catches the helmet.
(e) Explain briefly why the two values calculated in (c) and (d) above are different.
(f) After some time the helmet falls off freely from the skater B. What will happen to the velocity of B? explain your answer.
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