Assignment 12Due: 11:59pm on Thursday, July 14, 2011Note:To understand how points are awarded, read your instructor's Grading Policy.[Switch to Standard Assignment View]When Time Flies...It Runs More SlowlyLearning Goal: To understand length contraction and time dilation.An inertial frame of reference is one in which Newton's laws hold. Any frame of reference that moves at aconstant speed relative to an inertial frame of reference is also an inertial frame. The proper length of anobject is defined to be the length of the object as measured in the object's rest frame. If the length of theobject is measured in any other inertial frame, moving with speed relative to the object's rest frame (in adirection parallel to ), the resulting length is given by the length contraction equation,where is the speed of light. Similarly, if two events occur at the same spatial point in a particularreference frame, and an observer at rest in this frame measures the time interval between these twoevents, the time interval so measured is defined to be the proper time . When the time interval ismeasured in any other inertial frame, again moving with speed relative to the first frame, the resultingtime interval is given by the time dilation equation.Part ASuppose that you measure the length of a spaceship, at rest relative to you, to be 400 . How long willyou measure it to be if it flies past you at a speed of Express the length in meters to three significant figures.?
Part BThe spaceship from Part A has a large clock attached to its side. This clock ran at the same rate asyour watch when you were in the same reference frame. How much time will pass on your watch as80 passes on the clock attached to the ship?Hint B.1How to approach the problemHint not displayed[ Print]