The position of an electron is given by #vecr=3.63t hati - 5.73t^2 hatj + 8.16 hatk#, with #t# in seconds and r in meters?
what are (a) the #x# -component, (b) the #y# -component, (c) the magnitude, and (d) the angle relative to the positive direction of the x-axis, of the electron's velocity #vecv# (give the angle in the range (-180°, 180°])?
-My answers (all incorrect)
a) 9.547
b) -15.07
c)19.61
d)-57.64
what are (a) the
-My answers (all incorrect)
a) 9.547
b) -15.07
c)19.61
d)-57.64
1 Answer
On the basis of given text
Explanation:
Position of an electron is given by
Velocity
#vecv=d/dt(3.63thati−5.73t^2hatj+8.16hatk)#
#=>vecv=3.63hati−11.46thatj#
(a)
(b)
#-11.46xx2.63=-30.140\ ms^-1#
(c)
#|vecv|=30.578\ ms^-1#
(d) If
# tantheta=v_y/v_x#
Inserting calculated values
#tan\ θ=(-30.140)/3.63# , (#4th# quadrant)
#theta=-83.1^@# , relative to the positive direction of the#x# -axis, in the desired range.
(Clockwise being positive direction and anti-clockwise being negative direction)