Question

Two protons, initially 1.00 m apart, are shot directly towards each other, in a 1-dimensional motion
problem.
a. What is their minimum separation distance if their initial speed was 2.75 × 104 mm/ss each?

b. What would the minimum separation distance be if they were electrons used in the same
experiment?

c. What will be the speeds be when they are far apart? (do this for both the protons and the
electrons.)

d. How much speed is needed to get the protons within 1 femtometer (10-15m) of each other
where the strong nuclear force can attract the two?

Answer 1

hnotoms betuen th inutial of pu1o tom -37 G736 X 1o elletunom is thu masa -31 me = proton is elicturom of magmitud of chang (4) each potom is imitial pud 4 R.75 X 10 ( mal) Imitial

twhuy thu minimum spaiatiom at which stop both purotoms will from consuvatiom enungy 1 + + mp 4πέο η whiu 9 *10 4πέο P 4ITEO d 4 TEO JI (1.6x10-19) 4 (275 x 10) - 37 1.6726x1 (610 Lo-19 X 9 x 10 -29 33.04 x10 -19 12 649 x lo 33.04 x 1 23. 04 x1 39 13.649 x 1019

33.04 x 1 -19 13.649 x lo -10 1831 x 10 (b) e lic turoms FOUT forom consunvation emugy 93 me 2 e ? 4mEO 4 TTEo d 4-1TE d 4 ITEO 1Cr10 13) 43 + -19 (3.75x10 9.1x 131 (1.6 LO-19) x 9 68.818 88 88o3 33.04 x 1o39

-39 3 3.0 4 x 1o -23 G8. 818 x lo -7 3.347 x Lo (C) Four PTotons whm they faun petum tal emuTgy of apant tu 3ystum wille by e ach pu1otom whin the spuid of bu Lat fau apaut tHuy quur eng compunvatiom fimal emungy imitial emugy 3 + 1 PSI? + 2 2 m12 41TEO J 9 3 P

37 1 6726 x 1O (16x10-19 ) x (3-75x 16) t 9x10 -19 12. 649 xlo -37 36x io 2 4 R.75 X L0 m/a Four elicturoms 9 me 4ITEO UT from emigy comaurvation mev? 4TEOJ m

4 2.75 x I0 (d) Jim un that ST- Lat Apud of each putotom hu forom comsuvatiom emungy q 3 2 2 + 4πέο 41TEo UT gr1o (3-6 x16-19 (611619910 9x1 LA-15 14 3.04 x J6 .6726 xJ t 11.736 x 1o