Trigonometric EquationHard

Question

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms-1 and the second part of mass 2 kg moves with 8 ms-1 speed. If the third part files off with 4 ms-1 speed, then its mass is :-

Options

A.17 kg
B.3 kg
C.5 kg
D.7 kg

Solution


                            


From conservation of momentum

    
    ⇒    m = 5kg.

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