Given the two regions: --> x< 0, with Er = 4 and D1 = 3 ax+4 ay +5 az C/m --> x>0 with r2 =4 find the y component of D2 in C/m? note: E0 = 8.85e-12 (F/m)
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- Since &o=8.85 x 10-12 C2/N-m², the units of E² can be reduced to O J s m O N s m J m 3 3 N m W mProblem 11: A small block of mass M= 350 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 1.9 N/m. The coefficient of static friction between the blocks is μ =0.2. The lower block is pulled until the attached spring is stretched a distance D = 2.5 cm and released. Randomized Variables M = 350 g D = 2.5 cm k = 1.9 N/m Part (a) Assuming the blocks are stuck together, what is the maximum magnitude of acceleration amax of the blocks in terms of the variables in the problem statement? amax = k D/(3 M+M ) ✓ Correct! Part (b) Calculate a value for the magnitude of the maximum acceleration amax of the blocks in m/s². ✓ Correct! | @mar= 0.03390 Part (c) Write an equation for the largest spring constant kmax for which the upper block does not slip. Kmax = μ (M +M) g/klN 4 99% 16:34 20 rad/s O 2.5 rad/s A block of mass m = 5 Kg is attached to a spring of spring constant k. The block oscillates in simple harmonic motion on a frictionless horizontal surface. The block-spring total mechanical energy is 14.4 J. The maximum velocity of block, vmax, is: O 3.8 m/s O 2.4 m/s O 1.8 m/s O 2.1 m/s O 3 m/s
- We can model a molecular bond as a spring between two atoms that vibrate with simple harmonic motion.The figure below shows an simple harmonic motion approximation for the potential energy of an HCl molecule.This is a good approximation when E < 4 ×10^−19. Since mH << mCl, we assume that the hydrogen atomoscillates back and forth while the chlorine atom remains at rest. Estimate the oscillation frequency of theHCl molecule using information in the figure below.Three children are riding on the edge of a merry-go-round that is a disk of mass 98 kg, radius 1.9 m, and is spinning at 25rpm. The children have masses of 24 kg, 26 kg, and 32.6 kg.Randomized VariablesM = 98 kgm1 = 24 kgm2 = 26 kgm3 = 32.6 kgr = 1.9 mf = 25 rpm If the child who has a mass of 26 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm? f' =