Please explain the difference between an inertial and a non-inertial frame. Would being in the roller coaster car during a loop be an inertial frame? Why or why not. Would being on the ground watching the roller coaster be an inertial frame? Why or why not.
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- Answer the following questions about inertial and non-inertial frames.
- Please explain the difference between an inertial and a non-inertial frame.
- Would being in the roller coaster car during a loop be an inertial frame? Why or why not.
- Would being on the ground watching the roller coaster be an inertial frame? Why or why not.
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- The principle of equivalence states that all experiments done in a lab in a uniform gravitational field cannot be distinguished from those done in a lab that is not in a gravitational field but in uniformly accelerating. For the latter case, consider what happens to a laser beam at some height shot perfectly horizontally to the floor, across the accelerating lab. (View this from a nonaccelerating frame outside the lab.) Relative to the height of the laser, where will the laser beam hit the far wall? What does this say about the effect of a gravitational field on light? Does the fact that light has no mass make any difference to the argument?Quite apart from effects due to Earth’s rotational and orbital motions, a laboratory reference frame is not strictly an inertial frame because a particle at rest there will not, in general, remain at rest; it will fall. Often, however, events happen so quickly that we can ignore the gravitational acceleration and treat the frame as inertial. Consider, for example, an electron of speed v =0.992c, projected horizontally into a laboratory test chamber and moving through a distance of 20 cm. (a) How long would that take, and (b) how far would the electron fall during this interval? (c) What can you conclude about the suitability of the laboratory as an inertial frame in this case?Two manned satellites are approaching one another at a relative speed of 0.235 m/s, intending to dock. The first has a mass of 3.95 × 103 kg, and the second a mass of 10.8 × 103 kg. a)Calculate the final velocity, in meters per second, of the two satellites after docking, in the frame of reference in which the first satellite is initially at rest. Take the initial velocity of the second satellite to be in the positive direction. b)What is the change in kinetic energy, in joules, in this inelastic collision? c) Calculate the final velocity of the satellites, in meters per second, in the frame of reference in which the second satellite is initially at rest. Take the initial velocity of the first satellite to be in the negative direction. d)What is the change in kinetic energy, in joules, in this frame of reference.
- Two manned satellites approaching one another at a relative speed of 0.300 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.A student says that a material particle must always move at a slower speed than the speed of light, and that a massless particle must always move at the same speed as the speed of light, both of which are incorrect. Is she correct in her assessment? If this is the case, how could massless particles such as photons and neutrinos achieve such a high rate of acceleration? Isn't it possible to start from a standing start and accelerate? Explain.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 ✕ 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
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- Earth astronomers measure that two novas (sudden brightening of a star) occur simultaneously, one in the constellation Orion and the other in the constellation Lyra. Each is 2.5×103c·y from Earth, but in opposite directions. Observers in aspacecraft flying at 1000 km/h on a line from Orion to Lyra measure one nova to occurbefore the other. (a) Which nova occurs first? (b) How much time separates the twonovas? Assume Earth is an inertial reference frame.When parked, your car is 5 m long. Unfortunately, your garage is only 4.0 m long. In order to solve for how fast would your car have to be moving for an observer on the ground to find your car shorter than your garage, complete the following given information: a) Who would get the O frame? The observer outside or the observer in the car? b) Who would calculate the proper length of the garage? ______________ In order to solve for, when you are driving at this speed, how long is your garage, measured in the car's frame of reference, complete the following given as information: c) Who would get the O frame? The observer in the car or an observer in the garage? d) Without solving quantitatively, would the car fit according to the observer in the car's frame of reference?In the frame of a moving car, the driver coughs, and at the same moment (by coincidence) a puff of smoke emerges from the tailpipe. in earth's frame which is true? a. These two events are again simultaneous. b. The puff of smoke emerges before the driver coughs. c. The driver coughs before the puff of smoke emerges. d. The driver never coughs.