Question

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a. Provide a mathematical definition of momentum, and provide its unit in the MKS system of units. b. In a game of billiards, there are usually 11 identical balls. In this problem, we concentrate on two of them. The first one is hit by the player and moves at a speed of 12 m/sec, and it collides with a second stationary ball. The two balls stick together. What is the speed of the balls after the collision? c. Along with many elementary particles, a neuron is a neutral particle that re- sides in the nucleus of an atom. Similarly, a deuteron is a heavier particle of almost twice the mass of a hydrogen atom. In high-energy physics, we can think of a situation where a neutron of mass 1.67 x 10-27 kg and veloc- ity 10 m/s collides head-on with a STATIONARY deuteron of mass 4.54 x 10-27 kg. The particles do not stick together, and the neutron moves off at a speed of 5.6 x 10 m/s in the opposite direction. What is the velocity of the deuteron?

Answer 1

(9) There are There are two types of momentum 2 linear momentum :- mathematically, if you the Product of mass of the moving body to the velocity of the moving body- - P - m > Plem - wyout in mks system - kg m / sec. 2 angular momentum - It jos define about 9 Point or axjos. The croses Product of o body Position vector about Payout or axis good fits linear momentum vector. T = x P It jos also the moment of product of inertia of body about Pojot or axis to 1 mks unit is Il system - kg m²/sec stationary Initial Tiit situation 12 mles 7771771 o u Final situation apply momentum conservation Pe - Pof mx12 to 2 mv V = 6 ms -27 kg

(c) Here direction of particles most properly given so we consider I-D motion D By momentum conservation. Pé - Pf => 1.678 10 27 x 106 to = - 1.67X10 27 x 5.6x107 + 4.84x1027 xv med v= 3.884 x los mis So Final velocfity of deuteron jos 3-8844 105 mlen.