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(a) If the system's kinetic energy, as measured from the Earth reference frame, decreases by 20% because of the collision, what are the final velocities of the balls?
(b) What change in internal energy has occurred?
(c) An observer watches this collision from a reference frame moving at a velocity of 15 m/ s to the east relative to the Earth reference frame. What changes in kinetic energy does this observer measure?
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- Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei (He) from gold-197 nuclei (197Au). The energy of the incoming helium nucleus was 7.34 x 10-13 J, and the masses of the helium and gold nuclei were 6.68 x 10-27 kg and 3.29 × 10-25 kg, respectively (note that their mass ratio is 4 to 197. Assume that the helium nucleus travels in the +x-direction before the collision.) (a) If a helium nucleus scatters to an angle of 145° during an elastic collision with a gold nucleus, calculate the helium nucleus' final speed (in m/s) and the final velocity (magnitude in m/s and direction counterclockwise from the +x-axis) of the gold nucleus. He nucleus 4He speed 197 Au velocity 197 Au direction m/s m/s ° counterclockwise from the +x-axis (b) What is the final kinetic energy (in J) of the helium nucleus? 120° Gold nucleusA bowling ball onboard a space station is floating at rest relative to the station and an astronaut nudges a Ping-Pong ball toward it at speed v, initiating a perfectly elastic headon collision. Which answer is closest to the Ping-Pong ball’s speed after the collision? (a) 0 (b) v/2 (c) v (d) 2v (e) 3vA railroad car of mass 2000 kg is moving with a speed of 4 m/s. It collides and couples with another railroadcar of the same mass which was initially at rest. a) What is the speed of the two cars after the collision? b) If the collision happened within 0.02s, how big is the force impacted on the car which was at restinitially?
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- Mechanic Physics: Please make sure this is right In the figure, a ball of mass m = 56 g is shot with speed vi = 23 m/s (in the negative direction of an x axis) into the barrel of a spring gun of mass M = 263 ginitially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring. Assume that the increase in thermal energy due to friction between the ball and the barrel is negligible. (a) What is the speed of the spring gun after the ball stops in the barrel? (b)What fraction of the initial kinetic energy of the ball is stored in the spring?A particle of mass m (particle #1) is fired head-on at speed 48 m/s toward another particle of mass 3m (particle #2) which is at rest. The result of this collision is that #1 comes to a complete stop, and #2 moves forward. (a) At what speed does particle #2 emerge from the collision? (b) What fraction of the original kinetic energy is lost during this process?A 1.0 kg mass with a speed of 4.5 m/s strikes a 2.0 kg mass at rest. For a completely inelastic collision, find: (a) The speed of the masses after the collision. (b) The change in kinetic energy. (c) The momentum after the collision.