(a) Calculate theγfactor corresponding to a speed ofv= 0.987c. (b) Free neutrons (unbound to a nucleus) are unstable. The mean lifetime of a free neutron at rest is 886 s. As measured by a stationary observer, how long is the mean lifetime of a free neutron traveling at v= 0.987c? (c) A lead ion at rest has a width of 360 pm (picometres). When measured by a stationary observer, what is the width of a lead ion (as measured in the direction of its motion) if it is travellingatv= 0.987c?

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Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.