Problem $3(..../13$ pts$)$

b$)$ A particle has charge q $-1$ C and mass m $-100$ g$.$ It has an initial velocity of & $=4\mathrm{.}07$ m$/$s and a commo

acceleration a $=(20$ m$/$s$*$ in a region in which uniform electric fields and magnetic fields are presen

IF B $=3$ TE$,$ find the electric field $.(/5$ pts$)$

$2-02$:$0$

AU

AV $=-$

$90$

Watectrie force $=$

E$,=-$

a

$4$IZa

C$=$m

CParallel $=$

$0==$

$2$ C

V$=$RI

Rseries $=$ R

$-9=9(1$

Fo $=$ qux B

a$)$

Another particle of same charge q $=1$ C and same mass is put in a uniform magnetic field B $=(5$t $-10$j $+1$k$)$

T$.$ At time t $=0,$ the charge's velocity is given by: i $=(4$i $-8$j $+12$k$)$m$/$s$.$

$1.$ Find the force exerted on the charged particle in unit$-$vector notation. $(../6$ pts$)$

$2.$ Does the magnetic force cause a change in the speed of the charge? Explain. $(...//$ pts$)$

$3.$ Does it cause a change in the angle between i$$and$$B$?(//$prs$)$