Ask your homework questions to teachers and professors, meet other students, and be entered to win $600 or an Xbox Series X 🎉Join our Discord!

Like

Report

Numerade Educator

Like

Report

Problem 16 Easy Difficulty

At what speed do the classical and relativistic values of a particle’s momentum differ by 10.0%?

Answer

$2.98 \times 10^{8} \mathrm{~m} / \mathrm{s}$

Discussion

You must be signed in to discuss.

Video Transcript

according to given condition, Uh, 10% 10% off related mystic momentum is equal to, uh, classical momentum. Or we can say they, uh classical momentum is equal to 10% off real atavistic momentum. Well, 10% is a 0.1, and relativistic momentum is given by I am not times we divided by screen Rudolph one minus b squared, divided by C square is equal to Alaska. Momentum ease in not times and not times we not right now let's plug in the values. Well, we have, uh, and not gets cancelled and then taking script on both sides. We have, ah 0.1 square multiply by we square divided by one minus. So one minus b squared, divided by C square is equal to we swear we swear and further we have ah, we square on both sides. Let's divide discrete in by the square. Then we're left with 0.1 squared, divided by one minus. We squared, divided by C squared is equal to one and further 0.1 square is equal to one minus. We squared, divided by C square, and we have 0.1 and minus one is equal to minus. We squared, divided by C square and uh, 0.1 minus swarm is minus zero point 99 is equal to minus. We squared, divided by N. C. Square Now minus gets cancelled and we have we we is equal to ah, square root off zero mind my nine time see well sees three multiply by 10 to the power heat and therefore we is equal to 2.98 multiplied by tend to the bomber, eight meter per second. So 2.98 months of live attempted Bari per second.

Top Physics 101 Mechanics Educators
Elyse G.

Cornell University

LB
Liev B.

Numerade Educator

Farnaz M.

Other Schools

Aspen F.

University of Sheffield