Problem

(a) Show that a potential difference of $1.02 \ti…

02:49

Problem 49 Hard Difficulty

The non relativistic expression for the momentum of a particle, $p=m v,$ can be used if $v < < c .$ For what speed does the use of this formula give an error in the momentum of (a) 1.00$\%$ and (b) 10.0$\%$ ?

Answer

a) 0.141$c$
b) 0.436$c$

Topics

Gravitation

Book Cover for College Physics 2017

College Physics 2017

Chapter 26

Relativity

Discussion

You must be signed in to discuss.

Top Physics 101 Mechanics Educators

Christina K.

Rutgers, The State University of New Jersey

Andy C.

University of Michigan - Ann Arbor

LB

Liev B.

Numerade Educator

Meghan M.

McMaster University

Watch More Solved Questions in Chapter 26

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Video Transcript

well, Delta P divided by B. Well, don't be Exchange momentum and peas. Just momentum. So the racial is equal to gum. A minus one times. Mm. We divided by well, these gamma times, m we And this whole trump is equal to 1% and 1% is equal to 0.1 And the Sim Ply State gamma is equal to one divided by 0.9 mine Xeno. And since come is equal to one divided by ah screen route off one minus. Police were divided by C Square and the high is equal to 0.990 and solving. For we, we is equal to 0.1 for one times the speed of light. And also we have Don't be demanding it be, uh is equal to gamma minus one times and we divided by, uh, gonna times and we gonna times and we And it's equal to 10%. These done and 10% 10.0% is equal to unseat a 0.10 And gunmen is equal to one divided by zero point mind 00 Then gonna use one divided by a squared who does one minus we squinty body by C Square, we screened your mindedly cease creator and it's equal to one divided by zero point times zero and solving from B, we is equal to 0.436 times the speed of light.

Zulfiqar A.

Topics

Gravitation

Book Cover for College Physics 2017

College Physics 2017

Chapter 26

Relativity

Top Physics 101 Mechanics Educators

Christina K.

Rutgers, The State University of New Jersey

Andy C.

University of Michigan - Ann Arbor

LB

Liev B.

Numerade Educator

Meghan M.

McMaster University