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# longproblems1 - example of a fusion reaction is 2 1 H + 3 1...

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[1] A 5 cm tall object is located 20 cm to the left of a lens whose focal length is 10 cm. (a) Find the position, size, and type of the image. Show a rough sektch. (b) A second lens of 10 cm focal length is placed 40 cm to the right of the ﬁrst lens. Find the position, size, and type of the ﬁnal image. Show a rough sektch. [2] A conducting rod with a mass m and length is sliding with speed v down a pair of frictionless vertical conducting rails that are joined at the bottom and that have a total resistance R . There is a uniform horizontal magnetic ﬁeld of magnitude B that is perpendicular to the plane of the rails. (a) Give arguments to show that the induced emf is E = B‘v , and ﬁnd the induced current ﬂowing in the circuit indicating its direction. (b) Find the magnetic force acting on the rod and indicate its direction. (c) If the rod is falling with constant velocity ﬁnd the velocity in terms of B,‘,m,g , and R . [3] Stars get their energy from fusing hydrogen isotopes together to produce helium. An
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Unformatted text preview: example of a fusion reaction is 2 1 H + 3 1 H → 4 2 He + neutrons, (a) how many neutrons must be emitted? (Give your reasoning.) (b) If m ( 1 n) = 1 . 009u, and the atomic masses are m ( 2 1 H) = 2 . 014102u, m ( 3 1 H) = 3 . 016049u, and m ( 4 2 He) = 4 . 002603u, how much energy, in Mev units, is released in each fusion? [4] If the gravitational pull by the two masses on each other were given by the magnitude Km 1 m 2 /r 3 instead of the usual expression ( K is a constant), what would the speed be for a satellite in orbit at a distance r from the center of the Earth, whose mass is M ? F m m 1 2 [5] A block of mass m 1 on a smooth, horizontal surface is connected to a second mass m 2 by a light cord over a light, frictionless pulley as shown. (Neglect the masses of the cord and of the pulley.) A force of magnitude F is applied to mass m 1 as shown. Neglect any friction. Find the accelerations of the masses and the tension in the cord....
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## This note was uploaded on 01/10/2011 for the course EE 100 taught by Professor Razasuleman during the Spring '10 term at University of Engineering & Technology.

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