A stationary observer Bob, observes Alice take 5 seconds to travel from point A to B at 0.95c. How much time does Alice measure the journey from A to B to take?
This question is all about the application of Special Relativity. In order to solve this problem we need to identify that the correct equation to use here is:t= (gamma factor)t0Where t is the time observed by Bob, t0 is the time observed by Alice and the gamma factor = 1/Sqrt(1-(v2/c2)We need to rearrange the equation for t0, giving t0=t/(gamma factor) t0= t(Sqrt(1-(v2/c2))Subsituting t =5 s, v = 0.95c, we obtain:t0=(5 s)(Sqrt(1-0.952))t0 = 1.56 s
ER
Related Physics A Level answers
All answers ▸Explain what happens in terms of current induced as a magnet enters a solenoid in a closed circuit, and as it leaves.
What is the mathematical relationship between the frequencies of musical notes that we perceive identical, but at different octaves?
why does photoelectric emission occur only when there is a certain threshold frequency of incident radiation?
A stationary particle explodes into 3: A (to the left), B and C (both to the right). B has mass m and speed 3v. C has mass 2m and speed v. A has speed 2v. What is the mass of A in terms of m?