Help A physics 158 student has constructed a rail gun where a metal bar of length 6.00 cm and mass0.300 kg slides without friction on two parallel metal rails 6.00 cm apart. The metal bar makescontact with the rails at two points far from the right hand ends of the rails. Rbar = 0.700 Q but theresistance of the rails is much less than Rbar so it can be ignored. The uniform magnetic field B isdirected out of the page but its value is unknown.The bar is given an initial velocity v = 20.0 cm/s to the right. Once released the only unbalancedforce acting on the bar is the force exerted by the magnetic field. Using high-speed photography, youmeasure the magnitude of the acceleration of the bar as a function of its speed. The results are givenin the table below:(a) Write an equation for the induced EMF in the circuit as a function of the speed, .(b) What is the direction of the induced current, ??(c) Using the measured data for v and a calculate the uniform magnetic field B.(d) Using the equation for a(v) find the speed of the bar as a function of time, v(t).BarRailsv(cm/s)a(cm/s²)20.016.012.06.174.943.70Magnetic field

Here given a rail bar of length 6 cm and mass 0.3 kg is moved along right. The initial velocity of…

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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A physics 158 student has constructed a rail gun where a metal bar of length 6.00 cm and mass
0.300 kg slides without friction on two parallel metal rails 6.00 cm apart. The metal bar makes
contact with the rails at two points far from the right hand ends of the rails. Rbar = 0.700 Q but the
resistance of the rails is much less than Rbar so it can be ignored. The uniform magnetic field B is
directed out of the page but its value is unknown.
The bar is given an initial velocity v = 20.0 cm/s to the right. Once released the only unbalanced
force acting on the bar is the force exerted by the magnetic field. Using high-speed photography, you
measure the magnitude of the acceleration of the bar as a function of its speed. The results are given
in the table below:
(a) Write an equation for the induced EMF in the circuit as a function of the speed, .
(b) What is the direction of the induced current, ??
(c) Using the measured data for v and a calculate the uniform magnetic field B.
(d) Using the equation for a(v) find the speed of the bar as a function of time, v(t).
Bar
Rails
v(cm/s)
a(cm/s²)
20.0
16.0
12.0
6.17
4.94
3.70
Magnetic field

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