Two objects collide and stick together. Initially, object A has a mass of 6.0 kg and a velocity of vA . Object B has a mass of 4.5 kg and a velocity of vB [4.6] m (a) What is the magnitude and direction of the momentum of the system that includes both A and B? (b) What will be the magnitude and direction of the velocity of the two objects immediately after the collision?
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- A nucleus, initially at rest, decays radioactively, leaving a residual nucleus. In the process, it emits two particles horizontally: an electron with momentum 9.0 x 10^-21 kg/s [E] and a neutrino with momentum 4.8 x 10^-21 kg/s [S]. If the mass of the residual nucleus is 3.6 x 10^-25 kg, what is its recoil velocity?A comet is traveling through space with a speed of 3.10 ✕ 104 m/s when it collides with an asteroid that was at rest. The comet and the asteroid stick together during the collision process. The mass of the comet is 1.05 ✕ 1014 kg, and the mass of the asteroid is 6.50 ✕ 1020 kg. (a) What is the magnitude of the momentum of the system's center of mass before the collision? kg · m/s(b) What is the magnitude of the momentum of the system's center of mass after the collision? kg · m/sTwo carts mounted on an air track are moving toward one another. Cart 1 has a speed of 0.9 m/s and a mass of 0.53 kg. Cart 2 has a mass of 0.63 kg.(a) If the total momentum of the system is to be zero, what is the initial speed (in m/s) of Cart 2? (Enter a number.) m/s(b) Does it follow that the kinetic energy of the system is also zero since the momentum of the system is zero? YesNo (c) Determine the system's kinetic energy (in J) in order to substantiate your answer to part (b). (Enter a number.) J
- can you please provide the equations and how to solve these problems, thank youIn the figure, mass m1=10.0 kg is moving at a speed of Vi1 undergoes a collision with mass m2 = 7.00 kg with speed Vi2 at θi = 37°. After the collision, the two masses stick together and keep moving with Vf at θf = 17°. The change in kinetic energy ∆K = −58.5 J, What is the velocity before the collision of Vi1 and Vi2 and after the collision of Vf?Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 0.8 m/s and a mass of 0.53 kg. Cart 2 has a mass of 0.69 kg. (a) If the total momentum of the system is to be zero, what is the initial speed (in m/s) of Cart 2? (Enter a number.) m/s (b) Does it follow that the kinetic energy of the system is also zero since the momentum of the system is zero? Yes No (c) Determine the system's kinetic energy (in J) in order to substantiate your answer to part (b). (Enter a number.) J
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