**Question1**

An unstable nucleus of mass 3.4 10-26 kg, initially at rest at an origin of a coordinate system, disintegrates into 3 particles. One particle, having a mass of m1 = 1.0 10 to 26 kg, moves in positive y-direction with speed v1 = 6.2 106 m/s. Another particle, of mass m2 = 1.5 10-26 kg, moves in positive x-direction with speed v2 = 4.2 106 m/s. discover the magnitude and direction of the velocity of third particle.

**Question2**

An elevator is stopped at ground floor. It starts moving upwards at constant acceleration a>0 for 5 seconds. It then keeps a constant speed for 35 seconds. At last, it slows down with an acceleration of similar magnitude (but opposite direction) -a, until it comes to a halt at top floor. The top floor is 340 meters above ground floor.

(a)What is maximal speed v of the elevator?

(b)What is acceleration a?

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