The two disks A and B have a mass of 3 kg and 5 kg, respectively. If they collide with the initial velocities shown, determine their velocities just after impact. The coefficient of restitution is e=0.65. (VB)1 = 7 m/s, B A (VA)I =6 m/s/ 60°
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- In the figure, two satellites, A and B, both of mass m = 49.1 kg, move in the same circular orbit of radius r = 7410 km around Earth (mass ME = 5.98×1024 kg) but in opposite senses of rotation and therefore on a collision course. (a) Find the total mechanical energy EA+ EB of the two satellites + Earth system before the collision. (b) If the collision is completely inelastic so that the wreckage remains as one piece of tangled material (mass = 2m), find the total mechanical energy immediately after the collision. (c) Just after the collision, is the wreckage falling directly toward Earth’s center or orbiting around Earth?White dwarf stars are produced by the collapse of regular stars, such as our sun, toward the end of their normal life. Suppose a star initially has the same mass as our sun and the same radius as that of the sun. Suppose further that it collapses into a white dwarf with a radius of 5000km. If the initial period of the star is the same 27 day period of our sun, what is the resulting period of the white dwarf?A 4,600 kg open train car is rolling on frictionless rails at 21.1 m/s when it starts pouring rain. A while later the car's speed is 19.5 m/s. What mass of water has collected in the car? Provide your answer in appropriate units of meters (m), seconds (s), kilograms (kg), radians (rad) or combinations thereof, such as m/s or m/s^2. Use at least three significant figures in your answer, do not use scientific notation. Using more significant figures will not be considered incorrect; using fewer may lead to errors due to rounding.
- In the figure, two satellites, A and B, both of mass m = 36.1 kg, move in the same circular orbit of radius r = 7240 km around Earth (mass ME = 5.98×1024 kg) but in opposite senses of rotation and therefore on a collision course. (a) Find the total mechanical energy Е+ ЕÅ of the two satellites + Earth system before the collision. (b) If the collision is completely inelastic so that the wreckage remains as one piece of tangled material (mass = 2m), find the total mechanical energy immediately after the collision. (c) Just after the collision, is the wreckage falling directly toward Earth's center or orbiting around Earth? (a) Number Units (b) Number (c) Units A B EarthThe centers of the earth and its moon are separated by an average of 3.84 c 10^5 m and the moon's mass is 7.35 c 10^22 kg. What does Earth's moon exert on a 10 kg mass?Two stars in a binary system orbit around their center of mass. The centers of the two stars are 6.96x10¹¹ m apart. The larger of the two stars has a mass of 4.46x10³0 kg, and its center is 1.86x10¹¹ m from the system's center of mass. What is the mass of the smaller star?
- Please asapA 50-lb sphere A with a radius of 4.5 in. is moving with a velocity of magnitude v0 = 6 ft/s. Sphere A strikes a 4.6-lb sphere B that has a radius of 2 in., is hanging from an inextensible cord, and is initially at rest. Knowing that sphere B swings to a maximum height of h= 0.75 ft, determine the coefficient of restitution between the two spheres.The bar has mass M = 1.77 kilograms and length L = 1.25 meters. The puck has mass m = 0.433 kilograms and is initially moving at vi = 6.83 perpendicular to the bar. The puck collides with the bar at a location of b = 0.475 meters from the center of the bar. Note that the size of the puck is negligible compared to the length of the bar. Part (a) Calculate the center of mass speed (in m/s) of the puck-and-bar system just after the collision. Part (b) Calculate the angular speed (rad/s) about the center of mass of the puck-and-bar system just after the collision.