Referring to Figure 11.21, prove that the buoyant force on the cylinder is equal to the weight of the fluid displaced (Archimedes' principle). You may assume that the buoyant force is F 2 − F 1 and that the ends of the cylinder have equal areas A . Note that the volume of the cylinder (and that of the fluid it displaces) equals ( h 2 − h 1 ) A . Figure 11.21 (a) An object submerged in a fluid experiences a buoyant force F B . If F B is greater than the weight of the object, the object will rise. It F B is less than the weight of the object, the object will sink. (b) If the object is removed, it is replaced by fluid having weight W f 1 . Since this weight is supported by surrounding fluid, the buoyant force must equal the weight of the fluid displaced. That is, F B =w f l , a statement of Archimedes' principle.
Referring to Figure 11.21, prove that the buoyant force on the cylinder is equal to the weight of the fluid displaced (Archimedes' principle). You may assume that the buoyant force is F 2 − F 1 and that the ends of the cylinder have equal areas A . Note that the volume of the cylinder (and that of the fluid it displaces) equals ( h 2 − h 1 ) A . Figure 11.21 (a) An object submerged in a fluid experiences a buoyant force F B . If F B is greater than the weight of the object, the object will rise. It F B is less than the weight of the object, the object will sink. (b) If the object is removed, it is replaced by fluid having weight W f 1 . Since this weight is supported by surrounding fluid, the buoyant force must equal the weight of the fluid displaced. That is, F B =w f l , a statement of Archimedes' principle.
Referring to Figure 11.21, prove that the buoyant force on the cylinder is equal to the weight of the fluid displaced (Archimedes' principle). You may assume that the buoyant force is
F
2
−
F
1
and that the ends of the cylinder have equal areas A. Note that the volume of the cylinder (and that of the fluid it displaces) equals
(
h
2
−
h
1
)
A
.
Figure 11.21 (a) An object submerged in a fluid experiences a buoyant force FB. If FB is greater than the weight of the object, the object will rise. It FB is less than the weight of the object, the object will sink. (b) If the object is removed, it is replaced by fluid having weight Wf1. Since this weight is supported by surrounding fluid, the buoyant force must equal the weight of the fluid displaced. That is, FB=wfl, a statement of Archimedes' principle.
Three slits, each separated from its neighbor by d = 0.06 mm, are illuminated by a coherent light source of
wavelength 550 nm. The slits are extremely narrow. A screen is located L = 2.5 m from the slits. The
intensity on the centerline is 0.05 W. Consider a location on the screen x = 1.72 cm from the centerline.
a) Draw the phasors, according to the phasor model for the addition of harmonic waves, appropriate for this
location.
b) From the phasor diagram, calculate the intensity of light at this location.
A Jamin interferometer is a device for measuring or for comparing the indices of refraction of gases. A beam
of monochromatic light is split into two parts, each of which is directed along the axis of a separate cylindrical
tube before being recombined into a single beam that is viewed through a telescope. Suppose we are given the
following,
•
Length of each tube is L = 0.4 m.
• λ= 598 nm.
Both tubes are initially evacuated, and constructive interference is observed in the center of the field of view. As
air is slowly let into one of the tubes, the central field of view changes dark and back to bright a total of 198
times.
(a) What is the index of refraction for air?
(b) If the fringes can be counted to ±0.25 fringe, where one fringe is equivalent to one complete cycle of
intensity variation at the center of the field of view, to what accuracy can the index of refraction of air be
determined by this experiment?
1. An arrangement of three charges is shown below where q₁ = 1.6 × 10-19 C, q2 = -1.6×10-19 C,
and q3 3.2 x 10-19 C.
2 cm
Y
93
92
91
X
3 cm
(a) Calculate the magnitude and direction of the net force on q₁.
(b) Sketch the direction of the forces on qi
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