Question

During a commercial on 23 Century Netflix (in the future all TV is Netflix), the announcer states that: Thanks to the new and improved Magnetic Blankets developed by the Du Mideas corporation, you too can now feel safe from fleets of enemy vessels equipped with high velocity charged particle beam weapons! B Field beam returned to agressors Proton beam # You are concerned that the Anterian's new weapon might penetrate the Magnetic Blankets and so you perform a calculation. The mass of a proton is m - 1.54e-28 kg it is positively charged with q- 1.501-18 Coulombs. The Anterian weapon fires protons with a velocity of 12400000 m/s toward your ship. The advertisement indicates that the new and improved Magnetic Blankets generates a magnetic field of 8.241 Tesla Calculate the momentum of a proton in this beam Kgs Calculate the radius of the circle followed by the protons The figure shows the proton beam bending in a particular direction. For this figure to be correct, which direction should the magnetic field be directed? Toward the left. Toward the right Into the screen away from you). Toward the bottom of the screen. Out of the screen (toward you) Toward the top of the screen

Answer 1

The problem involves the concept of magnetic force , magnetic filed and centripetal force. A detailed explanation of all parts is given in below images.

Bfield Page No. : 20/1 7 0 boton beam O Civen m B. 2.4IT Cliven Maus Mars of proton (mp) = 1:64 x 10 kg Charge proton Coq = 1.501 x 10-18 Velocity of proton (y = 12400000 m/s A Momentum (p) s mats x velosing So Momentum of profon (pp) = mp x up we know 7 X -26 X 1.24 x 10 -19 (1064x1.24) x 10 kg m/sec kg m/ sec. og 20:326 € -19 kg m/ sec 19 = 2.033 6 x 10 () Circle We need De To caladate the radius to equal magnetic force Acting on centripetal force Proton to

in des Magnetic force acting proton Adela B [632 le ff = 61.501 x 10 ) x (1.24 X 107 7 x 2.41 F = (1.501) x (1.24) X 2.41 X 1 N to = 4.485 x 10 W Now centripetal force acting on object mV So fp = fc 4.485 x 10 move 4.485 x 10 [164X163767 x [1.24x10 y? Trov 20175376 x 10" -11 4. 4 & 5xló 12 Y = (1.647 X[1:53.71) 10 Ko> m 0.5622 X /о Tre 0.05622m or (5. 622 cm so radius =0005622 m

B field LB FOBTB fo K A Proton beam figure to be For this figure bue As we know that direction of fo which is given by q (u x B) at A js upwald towards n the canbre AL B it is downward towards the centre - E = B 9 (TXB) is given Direction for Since velocity at Thor by VXB in right direction AB do b should be inward the flanel because only then Ab would be in upworld direction

Similarily for B is in left velocity B Vot So B Ř should be (inward the again I love so that ŭ x B con be in downward direchin answer is. 4 into the screen Coney from you)

Hope it would be helpful for you.