Question

Two objects of mass 4 kg and 3 kg approach each other at a right angle as shown above. The 4-kg mass moves along the +x – axis with an initial speed of 5 m/s, and the 3-kg mass moves in the +y – direction with a speed of 5 m/s. The two masses collide at the origin and stick together. Measured from the +x – axis, the angle of the resulting momentum of the two objects after the collision is most nearly

(A) 30° above the +x – axis 

(B) 37° above the +x – axis 

(C) 45° above the +x – axis 

(D) 53° above the +x – axis 

(E) 60° above the +x – axis

Answer 1

Correct Option :- (B) 37° above the +x – axis

Explanation :-

After the collision, there is one mass of 7 kg moving upward and to the right. Measuring the angle θ from the +x – axis, the conservation of momentum equations in the horizontal and vertical directions are