don't In another dream, you find yourself in the middle of outer space with your best friend and his evil twin. They look identical but you know the evil twin has a much lower mass since he is only part human (and part machine.) Without harming either of them, how can you determine which one is the evil twin? Consider Newton's Second Law and inertial mass.
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- A space vehicle is traveling at 5230 km/h relative to Earth when the exhausted rocket motor is disengaged and sent backward. The relative speed between the motor and the command module is then 96 km/h. The mass of the motor is four times the mass of the module. What is the speed of the command module relative to Earth just after the separation? Number Enter your answer in accordance to the question statement Units Choose the answer from the menu in accordance to the question statement radmmcmkmhkm/hgm^3kWkPaMPakNm^3/sg/cm^3mgμgMWkg/scm/s^2ft/s^2Consider two spaceships, initially at rest and separated by 5,000 m. Spaceship 1 has mass 632 kg, and spaceship 2 has mass 374 kg. Spaceship 1 turns on a tractor beam, which pulls spaceship 2 towards it with 231 N of constant force. If this force is the only one present in this system, and taking into account the reaction on ship 1, how much time will it take, in s, for the two ships to touch? (Hint: Solve x1(t) = x2(t)) (Please answer to the fourth decimal place - i.e 14.5336)Two manned satellites approaching one another at a relative speed of 0.400 m/s intend to dock. The first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. Assume that the positive direction is directed from the second satellite towards the first satellite.(a) Calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest. _________ m/s(b) What is the loss of kinetic energy in this inelastic collision? _________ J(c) Repeat both parts, in the frame of reference in which the second satellite was originally at rest.final velocity__________ m/sloss of kinetic energy __________ JExplain why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both. (Do this on paper. Your instructor may ask you to turn in this work.)
- An African elephant is walking along when a mini-black hole suddenly appears directly above him. The mass of the black hole is so great that its gravity is able to lift the elephant from the Earth. How close must the mini-black hole be to the elephant's center of mass in order to just overcome the downward pull of Earth's gravity? (Treat the mass of the elephant as if it's concentrated at the elephant's center. Mass of Earth ME = 6.97 x 1024 kg Mass of mini-black hole MBH = 4.17 x 1012 kg Radius of Earth RE = 6.40 x 106 meters Mass of elephant (not needed) mini black hole •A satellite is in a circular orbit of radius r around the Earth. (Use the following as necessary: G, ME, and r.) a) Determine an expression that will allow you to find the speed of the satellite. b)The satellite splits into two fragments, with masses m and 4m. The fragment with mass m is initially at rest with respect to the Earth, then falls straight towards the Earth. The fragment with mass 4m moves with initial speed vi. Find an expression for vi. c)Because of the increase in its speed, this larger fragment now moves in an elliptical orbit. Find an expression for the fragment's distance away from the center of the Earth when it reaches the far end of the ellipse.For a particle of mass "m" moving in a central force field, show that: v²-i²+1²0²-h²[(du/d0)²+u²] 2
- Two manned satellites approaching one another at a relative speed of 0.150 m/s intend to dock. The first has a mass of 4.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. Assume that the positive direction is directed from the second satellite towards the first satellite. (a) Calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest. (b) What is the loss of kinetic energy in this inelastic collision? (c) Repeat both parts, in the frame of reference in which the second satellite was originally at rest.final velocity: loss of kinetic energy:1. Consider a mass m initially at rest at a large distance I from center of the earth (l>R the earth's radius). The mass m is released and falls toward the earth. (a) Calculate the speed of the mass as a function of its distance x from the center of the earth. (b) In the approximation that l>>R, how much time does it take for the mass m to reach the earth? Express your answers in terms of R, 1, g (acceleration at the earth's surface) and (for part a) x.Two manned satellites approaching one another at a relative speed of 0.250 m/s intend to dock. The first has a mass of 2.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. Assume that the positive direction is directed from the second satellite towards the first satellite.(a) Calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.m/s(b) What is the loss of kinetic energy in this inelastic collision?J(c) Repeat both parts, in the frame of reference in which the second satellite was originally at rest.final velocitym/sloss of kinetic energyJExplain why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both. (Do this on paper. Your instructor may ask you to turn in this work.)
- k by gravitational force Goc X Bb Thread: Week 6- General Physic X + ackboard.life.edu/webapps/discussionboard/do/message?action=Dcreate&do=create&requestType-.. Q* ☆☆曲 Not sy 3. Ấn object of mass m moves to the right with a speed v. It collides head-on with an object of mass 3m moving with speed v/3 in the opposite direction. If the two objects stick together, what is the speed of the combined object, of mass 4m, after the collision? Explain what happens. 4. A skater is standing still on a frictionless ice rink. Her friend throws a Frisbee straight to her. In which of the following cases is the largest momentum transferred to the skater? (a) The skater catches the Frisbee and holds onto it. (b) The skater catches the Frisbee momentarily, but, then drops it vertically downward. (c) The skater catches the Frisbee, holds it momentarily, and throws it back to her friend. Explain. MESSAGE * Subject Forum 3 Message For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). Qi ン ABC TTT 3…A binary star consist of two stars of the same mass m revolving in a circle of radius R about their common centre of mass. Suppose that a meteorite passes through the centre of mass of the binary star in a direction perpendicular to the orbital plane. What is the minimum speed that the meteorite must have at the centre of mass in order for it to escape from the gravitational attraction of the binary star? ANSW: 4Gm R wTwo manned satellites approaching one another at a relative speed of 0.100 m/s intend to dock. The first has a mass of 5.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. Assume that the positive direction is directed from the second satellite towards the first satellite. (a) Calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.m/s(b) What is the loss of kinetic energy in this inelastic collision?J(c) Repeat both parts, in the frame of reference in which the second satellite was originally at rest.final velocitym/sloss of kinetic energyJ