In experiments, physicists routinely accelerate protons to speeds quite close to the speed of light. The mass of a proton is $1\mathrm{.}67$ x $10-27$ kg$,$ and the proton is moving with a speed of $0\mathrm{.}99$c$.$ i$)$ Calculate the proton's momentum, according to Newton's definition. i Calculate the proton's relativistic momentum.iii$)$ Determine the ratio of the relativistic momentum to the Newtonian momentum.

a$.$ 

i$)4\mathrm{.}96$ x $10-19$ kgm$/$s

ii$)3\mathrm{.}52$ x $10-18$ kg$-$m$/$s$111)7$:$1$

b$.$ 

i$)3\mathrm{.}52$ x $10-18$ kgm$/$s

ii$)4\mathrm{.}96$ x $10-19$ kgm$/$sTil$)1$:$7$

$$c$.$ 

i$)4\mathrm{.}96$ x $10-19$ kgm$/$s

ii$)4\mathrm{.}96$ x $10-18$ kg m$/$s

iii$)10$:$1$

$$d$.$

i$)4\mathrm{.}96$ x $10-18$ kgm$/$s

ii$)4\mathrm{.}96\backslash$times $10-19$ kgm$/$s

iii$)1$:$10$ 

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