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- A firecracker is moving to the left before it explodes. Right after exploding, it breaks off into two pieces of equal mass, one travelling to the left and the other travelling to the right. Which one has the higher speed – the piece travelling to the left or the piece travelling to the right? Answer using ideas of momentum.1. In beta decay, an atomic nucleus emits an electron as it turns into another type of nucleus. A 2¹⁰Bi nucleus at rest decays to 210Po. Suppose the emitted electron moves to the right with momentum 5.60 x 10-22 kg m/s. The 210Po nucleus, with mass 3.50 x 10-25 kg, recoils to the left at a speed of 1.14 x 10³ m/s. Momentum conservation requires that a second particle, called an antineutrino, must also be emitted. Calculate the magnitude and direction of the antineutrino's momentum. 210PO 210Bi Before After e ?1. Calculate the magnitude of the linear momentum for the following cases: (Serway & Vuille, 2012) A. A proton with mass equal to 1.67x10-27 kg, moving with a velocity of 5.00x10⁰ m/s; B. A 15.0 g bullet is moving with a speed of 300. m/s; C. A 75.0 kg sprinter running with a velocity of 10.0 m/s; and D. The Earth (m=5.98x 1024 kg) moving at an orbital speed equal to 2.98x10 m/s.
- 7. A 1.000 kg particle moves at a speed of 0.500 m/s, as shown in Figure 2a. It collides with a 2,000 kg particle at rest at origin. What is the system's total momentum of the system in the x and y direction before the collision? +y m2) V4 30 m m2 +X +X 45° (a) (b) Fig. 2: Collision of mass m, and m, 8. Figure 2b shows that, after a collision, m, travels at a speed v3 at an angle e, = 315.0° with respect to the horizontal axis, while m, moves at a speed v, at an angle O, = 30.0° with respect to the horizontal axis. Write an equation for the system's total momentum in the x and y direction after the collision. 9. Using the equations produced in question 8, solve the value of v3 and v4.23. Please give detailed answer.8. On a frictionless air track, a 0.15 kg glider moving at 1.2 m/s to the right collides with and sticks to a stationary 0.25 kg glider (a) What is the net momentum of this two-glider system before the collision? (b) What must be the net momentum of this system after the collision? (c) Use your answers in parts (a) and (b) to find the speed of the gliders after the collision. (d) Is kinetic energy conserved during the collision?
- 1. What is the total momentum of the following system? a) Two 1-kg balls move away from each other; one travels with 5 m/s to the right and the other 5 m/s to the left. b) Two balls move away from each other, both travelling at 7 m/s along the same direction. One has mass of 2 kg and the other has a mass of 3 kg.15. A 10000Kg car is moving toward north at a speed of 3m/s at noon. One hour later, the car is moving toward east at 4m/s. The change in momentum of the car during that onehour period is (a) 10000Kgm/s, toward east. (b) 50000Kgm/s, toward 37 degrees north of east. (c) 50000Kgm/s, toward 53 degrees north of east. (d) 50000Kgm/s, toward 37 degrees south of east. (e) 50000Kgm/s, toward 53 degrees south of east.8. Two identical pucks of mass 40 grams on an air hockey table collide (no friction). Puck A is traveling at 15 m/s when it collides with Puck B, which is initially at rest. After the collision, both pucks travel in the same direction, with puck A moving at 6 m/s and puck B moving independently of A (no sticking). a. Find the initial momentum of both puck A and puck B before the collision. b. Calculate the final velocity of puck B after the collision. c. Calculate the final momentum of each puck after the collision. d. Calculate the total final momentum between the two pucks. How does it compare to the total momentum before the collision? 9. Rosita needs to purchase a sump pump for her basement that must carry 10.0 kg of water to a height of 3.0 m every minute. a. How much work is done by the pump in moving 10.0 kg of water? b. How much power must the pump use to complete its task? 10. A 700 kg roller coaster car travels along the tracks shown below. At point A, the car is 60 m above…
- 11. Please answer1.Two cars collide at an intersection and stick together. Car A, with a mass of 1200 kg , was going east at vA = 25 m/s before the collision while car B, of mass 1600 kg , was going north at vB = 16 m/s . What is the speed of the cars after the collision? 2.A head-on, elastic collision between two particles with equal initial speed v leaves the more massive particle (mass m1 ) at rest. The less massive particle has mass m2 . Find the ratio of the particle masses. Then find the final speed of the less massive particle.3) A coconut with a firework in it is sitting still and then explodes into three pieces. The first piece has a mass of 1.00kg, the second 2.00kg and the third 3.00kg. The first piece flies in the negative y-direction at a speed of 4.00 m/s, the second piece flies In the negative x-direction at a speed of 6.00 m/s. a. What is the initial momentum of the coconut before the explosion? What will be the total momentum after the explosion? b. Find the x-comoponent of the the third pieces velocity. С. Find the y-componnent of the third pieces velocity. d. What is the magnitude and direction of the third pieces total velocity?