a) Before it leaves Earth you observe the length of another spacecraft to be 200

Question

a) Before it leaves Earth you observe the length of another spacecraft to be 200 m. After

take-off, the craft travels past Earth (to wave good bye!) while moving at a velocity of 95% of the speed of light. You are assigned the task of re-measuring its length as it travels past.

i) Explain, at a fundamental level (i.e. with the principles of relativity in mind), how must you perform this measurement?

ii) What value will you obtain?

b) During machine testing time, a proton in the Large Hadron Collider travels at 0.999990

c, where c is the velocity of light.

i) Find the total energy of the proton.

ii) Find its kinetic energy.

pleas show formula

Explanation / Answer

a)the length can be deternmined by using the ormula for length contaction.................. L=L0*sqrt(1-v^2/c^2) = 200*sqrt(1-(0.95c)^2/c^2) = 62.44m..........................................

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