A muon (an elementary particle) moving in straight line enters a region with a speed of 5.00 x 10^6 m/s and then is slowed at the rate of 1.25 x 10^14 m/s^2. ?

A muon (an elementary particle) moving in straight line enters a region with a speed of 5.00 x 10^6 m/s and then is slowed at the rate of 1.25 x 10^14 m/s^2.

a. How far does the muon take to stop?
b. Graph x vs. t and v vs. t for the muon.

1 Answer
Harish Chandra Rajpoot
Jul 2, 2018

Distance #s# traveled by the muon moving with initial velocity #u=5\times10^6# m/s before it comes to rest #(v=0)# under deceleration #a=1.25\times10^{14}\ m/s^2#

From third equation of motion
#v^2=u^2-2as#

#0^2=(5\times10^6)^2-2(1.25\times10^{14})s#

#s=0.1\ m#

The graph #x# vs #t# will be a downward parabola

The graph #v# vs #t# will be a straight line with negative slope

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