Two lenses, with f 1 = +20.0 cm and f 2 = +30.0 cm, are placed on the x axis, as shown in Figure 27-28 An object is fixed 50 0 cm to the left of lens 1, and lens 2 is a variable distance x to the right of lens 1. Find the lateral magnification and location of the final image relative to lens 2 for the following cases: (a) x = 115 cm; (b) x = 30.0 cm; (c) x = 0 (d) Show that your result for part (c) agrees with the relation for the effective focal length of two lenses in contact, 1/ f eff = 1.
Two lenses, with f 1 = +20.0 cm and f 2 = +30.0 cm, are placed on the x axis, as shown in Figure 27-28 An object is fixed 50 0 cm to the left of lens 1, and lens 2 is a variable distance x to the right of lens 1. Find the lateral magnification and location of the final image relative to lens 2 for the following cases: (a) x = 115 cm; (b) x = 30.0 cm; (c) x = 0 (d) Show that your result for part (c) agrees with the relation for the effective focal length of two lenses in contact, 1/ f eff = 1.
Two lenses, with f1 = +20.0 cm and f2 = +30.0 cm, are placed on the x axis, as shown in Figure 27-28 An object is fixed 50 0 cm to the left of lens 1, and lens 2 is a variable distance x to the right of lens 1. Find the lateral magnification and location of the final image relative to lens 2 for the following cases: (a)x = 115 cm; (b)x = 30.0 cm; (c)x = 0 (d) Show that your result for part (c) agrees with the relation for the effective focal length of two lenses in contact, 1/feff = 1.
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?
]
Chapter 27 Solutions
Modified Mastering Physics with Pearson eText -- Access Card -- for Physics (18-Weeks)
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