A thin cylindrical shell is released from rest and rolls without slipping down an inclined ramp that makes an angle of 30° with the horizontal. How long does it take it to travel the first 3.1 m?
A) 1.4 s
B) 1.1 s
C) 2.1 s
D) 1.6 s
E) 1.8 s
D
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A transverse periodic wave is represented by the equation y(x, t) = -1.50 cm sin(1,500 rad/s t - 10.0
x). Another transverse wave is represented by the equation y(x, t) = +1.50 cm sin(1,500 rad/s t + 10.0
x). What is the equation that represents the superposition of the two waves?
A. y(x, t) = 3.0 cm sin(1,500 rad/s t - 10.0
x)
B. y(x, t) = 3.0 cm sin(1,500 rad/s t) cos(10.0x)
C. y(x, t) = +3.0 cm cos(1,500 rad/s t) sin(10.0x)
D. y(x, t) = 3.0 cm sin(1,500 rad/s t + 10.0x)
What power lens is needed to correct for farsightedness where the uncorrected near point is 75 cm?
A) -2.67 D B) +2.67 D C) +5.33 D D) -5.33 D E) +1.00 D
A 100-g ball falls from a window that is 12 m above ground level and experiences no significant air resistance as it falls. What is its momentum when it strikes the ground?
A) 3.3 kg ? m/s B) 4.8 kg ? m/s C) 1.8 kg ? m/s D) 1.5 kg ? m/s E) 2.4 kg ? m/s
A puddle of water (n = 1.33) is covered with a very thin layer of oil (n = 1.20). How thick is the oil in the region that strongly reflects light with a wavelength of 497 nm?
a. 207 nm c. 458 nm b. 550 nm d. 229 nm