GO In Figure 35-50, two isotropic point sources S 1 and S 2 emit light in phase at wavelength λ and at the same amplitude. The sources are separated by distance d = 6.00 λ on an x axis. A viewing screen is at distance D = 20.0 λ from S 2 and parallel to the y axis. The figure shows two rays reaching point P on the screen, at height y P . (a) At what value of y P do the rays have the minimum possible phase difference? (b) What multiple of λ gives that minimum phase difference? (c) At what value of y P do the rays have the maximum possible phase difference? What multiple of λ gives (d) that maximum phase difference and (e) the phase difference when y P = d ? (f) When y P = d , is the resulting intensity at point P maximum, minimum, intermediate but closer to maximum, or intermediate but closer to minimum? Figure 35-50 Problem 84.
GO In Figure 35-50, two isotropic point sources S 1 and S 2 emit light in phase at wavelength λ and at the same amplitude. The sources are separated by distance d = 6.00 λ on an x axis. A viewing screen is at distance D = 20.0 λ from S 2 and parallel to the y axis. The figure shows two rays reaching point P on the screen, at height y P . (a) At what value of y P do the rays have the minimum possible phase difference? (b) What multiple of λ gives that minimum phase difference? (c) At what value of y P do the rays have the maximum possible phase difference? What multiple of λ gives (d) that maximum phase difference and (e) the phase difference when y P = d ? (f) When y P = d , is the resulting intensity at point P maximum, minimum, intermediate but closer to maximum, or intermediate but closer to minimum? Figure 35-50 Problem 84.
GO In Figure 35-50, two isotropic point sources S1 and S2 emit light in phase at wavelength λ and at the same amplitude. The sources are separated by distance d = 6.00 λ on an x axis. A viewing screen is at distance D = 20.0 λ from S2 and parallel to the y axis. The figure shows two rays reaching point P on the screen, at height yP. (a) At what value of yP do the rays have the minimum possible phase difference? (b) What multiple of λ gives that minimum phase difference? (c) At what value of yP do the rays have the maximum possible phase difference? What multiple of λ gives (d) that maximum phase difference and (e) the phase difference when yP = d? (f) When yP = d, is the resulting intensity at point P maximum, minimum, intermediate but closer to maximum, or intermediate but closer to minimum?
A skateboarder with his board can be modeled as a particle of mass 80.0 kg, located at his center of mass. As shown in the figure below, the skateboarder starts from rest in a crouching position at one lip of a half-pipe (point). On his descent, the skateboarder moves without friction so
that his center of mass moves through one quarter of a circle of radius 6.20 m.
i
(a) Find his speed at the bottom of the half-pipe (point Ⓡ).
m/s
(b) Immediately after passing point Ⓑ, he stands up and raises his arms, lifting his center of mass and essentially "pumping" energy into the system. Next, the skateboarder glides upward with his center of mass moving in a quarter circle of radius 5.71 m, reaching point D. As he
passes through point ①, the speed of the skateboarder is 5.37 m/s. How much chemical potential energy in the body of the skateboarder was converted to mechanical energy when he stood up at point Ⓑ?
]
(c) How high above point ① does he rise?
m
A 31.0-kg child on a 3.00-m-long swing is released from rest when the ropes of the swing make an angle of 29.0° with the vertical.
(a) Neglecting friction, find the child's speed at the lowest position.
m/s
(b) If the actual speed of the child at the lowest position is 2.40 m/s, what is the mechanical energy lost due to friction?
]
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