6.1 In the inertial system S, an event is observed to take place at point A on the x-axis and 10S later another event takes place at point B, 900 m further down. Find the magnitude and direction of the velocity of S' with respect to S in which these two events appear simultaneous. S evetemns may
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- Check Your Understanding What happens to force and accleration as the vehicles fall together? What wil our estimate of the velocity at a collision higher or lower than the speed actually be? And finally, what would happen if the masses were not identical? Would the force on each be the same or different? How about their accelerations?In a particle accelerator, a proton has mass 1.6710-27kg and an initial speed of 2.00105m/s . It moves in a straight line, and its speed increases to 9.00105m/s in a distance of 10.0 cm. Assume that the acceleration Is constant. Find the magnitude of the force exerted on the proton.Two manned satellites approaching one another at a relative speed of 0.450 m/s intend to dock. The first has a mass of 3.00 ✕ 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 velocity (m/s) loss of kinetic energy (J)
- Two manned satellites approaching one another at a relative speed of 0.500 m/s intend to dock. The first has a mass of 3.50 ✕ 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.)Two manned satellites approaching one another at a relative speed of 0.150 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. (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:loss of kinetic energy:Explain 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.)Two 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
- 7) Two manned satellites approaching one another, at a relative speed of 0.550 m/s, intending to dock. The first has a mass of 5.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. (a) Calculate the final velocity (after docking) in m/s by using the frame of reference in which the first satellite was originally at rest. (Assume the second satellite moves in the positive direction. Include the sign of the value in your answer.) _____m/s (b) What is the loss of kinetic energy (in J) in this inelastic collision? _____ J (c) Repeat both parts by using the frame of reference in which the second satellite was originally at rest. final velocity (m/s) _____ m/s loss of kinetic energy (J) _____ J Explain in detail why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both.A group of Loyola students decided to depart from Earth after graduation to find work on Mars. Before building a shuttle, they conducted careful calculations. A model for the velocity of the shuttle, from liftoff at t = 0 s until the solid rocket boosters were jettisoned at t = 84.8 s, is given by ?(?)=0.001111333?^3−0.085745?^2+30.69?+9.71 (in feet per second). Using this model, estimate the global maximum value =?and global minimum value =?Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The first has a mass of 4.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103kg. 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.)
- 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.)Two manned satellites approaching one another at a relative speed of 0.550 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. 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 _____________ JTwo manned satellites approaching one another at a relative speed of 0.250 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.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.)
