Magnetic fields are very useful in particle accelerators for “beam steering”; that is, magnetic fields can he used to change the beam’s direction without altering its speed (Fig. 27–51). Show how this could work with a beam of protons. What happens to protons that are not moving with the speed that the magnetic field is designed for? If the field extends over a region 5.0 cm wide and has a magnitude of 0.38T, by approximately what angle will a beam of protons traveling at 0.85 × 10 7 m/s be bent?
Magnetic fields are very useful in particle accelerators for “beam steering”; that is, magnetic fields can he used to change the beam’s direction without altering its speed (Fig. 27–51). Show how this could work with a beam of protons. What happens to protons that are not moving with the speed that the magnetic field is designed for? If the field extends over a region 5.0 cm wide and has a magnitude of 0.38T, by approximately what angle will a beam of protons traveling at 0.85 × 10 7 m/s be bent?
Magnetic fields are very useful in particle accelerators for “beam steering”; that is, magnetic fields can he used to change the beam’s direction without altering its speed (Fig. 27–51). Show how this could work with a beam of protons. What happens to protons that are not moving with the speed that the magnetic field is designed for? If the field extends over a region 5.0 cm wide and has a magnitude of 0.38T, by approximately what angle will a beam of protons traveling at 0.85 × 107 m/s be bent?
4.4 A man is dragging a trunk up the
loading ramp of a mover's truck. The
ramp has a slope angle of 20.0°, and
the man pulls upward with a force F
whose direction makes an angle of 30.0°
75.0°
with the ramp (Fig. E4.4). (a) How large a force F is necessary for the
component Fx parallel to the ramp to be 90.0 N? (b) How large will the
component Fy perpendicular to the ramp be then?
Figure E4.4
30.0
20.0°
1.
*
A projectile is shot from a launcher at an angle e, with an initial velocity
magnitude v., from a point even with a tabletop. The projectile lands on the tabletop
a horizontal distance R (the "range") away from where it left the launcher. Set this
up as a formal problem, and solve for vo (i.e., determine an expression for Vo in
terms of only R, 0., and g). Your final equation will be called Equation 1.
2. A projectile is shot from a launcher at an angle 0,, with an initial velocity
magnitude vo, from a point even with a tabletop. The projectile hits an apple atop a
child's noggin (see Figure 1). The apple is a height y above the tabletop, and a
horizontal distance x from the launcher. Set this up as a formal problem, and solve
for x. That is, determine an expression for x in terms of only v₁, o,y and g.
Actually, this is quite a long expression. So, if you want, you can determine an
expression for x in terms of v., 0., and time t, and determine another expression for
timet (in terms of v., 0., y and g) that you will solve and then substitute the value of
t into the expression for x. Your final equation(s) will be called Equation 3 (and
Equation 4).
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