69 through 79 GO 76, 78 SSM 75, 77 More lenses. Object O stands on the central axis of a thin symmetric lens. For this situation, each problem in Table 34-8 refer to (a) the lens type, converging (C) or diverging (D), (b) the focal distance f , (c) the object distance p , (d) the image distance i , and (e) the lateral magnification m . (All distances are in centimeters.) It also refers to whether (f) the image is real (R) or virtual (V), (g) inverted (I) or noninverted (NI) from O , and (h) on the same side of the lens as O or on the opposite side. Fill in the missing information, including the value of m when only an inequality is given. Where only a sign is missing, answer with the sign. Table 34-8 Problem 69 through 79: More Lenses. See the setup for these problems. (a) Type (b) f (c) p (d) i (e) m (f) R/V (g) I/NI (h) Side 69 +10 +5.0 70 20 +8.0 <1.0 NI 71 +16 +0.25 72 +16 –0.25 73 +10 –0.50 74 C 10 +20 75 10 +5.0 <1.0 Same 76 10 +5.0 >1.0 77 +16 +1.25 78 +10 0.50 NI 79 20 +8.0 >1.0
69 through 79 GO 76, 78 SSM 75, 77 More lenses. Object O stands on the central axis of a thin symmetric lens. For this situation, each problem in Table 34-8 refer to (a) the lens type, converging (C) or diverging (D), (b) the focal distance f , (c) the object distance p , (d) the image distance i , and (e) the lateral magnification m . (All distances are in centimeters.) It also refers to whether (f) the image is real (R) or virtual (V), (g) inverted (I) or noninverted (NI) from O , and (h) on the same side of the lens as O or on the opposite side. Fill in the missing information, including the value of m when only an inequality is given. Where only a sign is missing, answer with the sign. Table 34-8 Problem 69 through 79: More Lenses. See the setup for these problems. (a) Type (b) f (c) p (d) i (e) m (f) R/V (g) I/NI (h) Side 69 +10 +5.0 70 20 +8.0 <1.0 NI 71 +16 +0.25 72 +16 –0.25 73 +10 –0.50 74 C 10 +20 75 10 +5.0 <1.0 Same 76 10 +5.0 >1.0 77 +16 +1.25 78 +10 0.50 NI 79 20 +8.0 >1.0
69 through 79 GO 76, 78 SSM 75, 77 More lenses. Object O stands on the central axis of a thin symmetric lens. For this situation, each problem in Table 34-8 refer to (a) the lens type, converging (C) or diverging (D), (b) the focal distance f, (c) the object distance p, (d) the image distance i, and (e) the lateral magnification m. (All distances are in centimeters.) It also refers to whether (f) the image is real (R) or virtual (V), (g) inverted (I) or noninverted (NI) from O, and (h) on the same side of the lens as O or on the opposite side. Fill in the missing information, including the value of m when only an inequality is given. Where only a sign is missing, answer with the sign.
Table 34-8Problem 69 through 79: More Lenses. See the setup for these problems.
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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