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An aluminum bar of length l = 7.00 cm slides along metal rails through a magnetic field B = 2.40 T. The switch closes at t = 0 s, while the bar is at rest, and a battery of emf εbat = 4.16 V starts a current flowing around the loop. Solve for the terminal velocity if the battery has an internal resistance r = 0.240 Ω and the resistance of the rails and the bar are negligible.
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- In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably mole comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical Intuition. More precisely, show that (a) 1.0m/s=3.6km/h and 1.0m/s=2.2mi/h .If $ (x,y,z) ху?г and A %3 xz i - xy? j + yz?k, find (OA) at the point (2,–1,1). %3D dx dz O 2i-4j O 4i - 2j O 2i+4j O 4i + 2jipa Suppose (p | ) = e¯. What is (x | b) =? V2nh 8 (x – x') 2nh Vasi 8 (x – x') 2πh 8 (x – x') O O
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- 6. Determine the equation, which will represent the best line for the following set of data, and solve for the unknown variables as listed below the table. Method of Least Squares 1 2 3 4 5 6 7 8 9 10 X 0 1 2 3 4 5 6 7 8 9 y 4.6 7.1 9.5 11.5 13.7 15.9 18.6 20.9 23.5 25.4 XX 0 1 4 9 16 25 36 49 64 81 xy 0 7.1 19.0 34.5 54.8 79.5 111.6 146.3 188.0 228.65.25×106 yryr Express your answer with the appropriate units.[A] = −kt + [A]0 What is the value of [A]0 if ..... [A] = -7.00x10^-2 k = 3.11x10^-4 t = 225
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