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a) Choose any two different non-zero numbers. Show that the mean (average) of their squares is not always equal to the square of their mean.
b) Using just two variable names (such as a or b), prove that the above fact is true in general- that the square of the mean is not always equal to the mean of the square.
Compute the magnitude & direction of the current.
A spherical conducting shell has an interior radius of 18 cm and an outer radius of 21cm. The shell carries a net charge of -2.4 micro coulombs. A point charge of charge +6.4 micro coulombs is placed at the center of spherical shell.
A person's prescription for her new bifocal glasses calls for a refractive power of -0.461 diopters in the distance-vision part, and a power of +1.83 diopters in the close-vision part. Find the near and far points of this person's uncorrected visi..
An object that hangs form the ceiling of a staionary elevator by an ideal spring scilliates with a period T. If the elevator accelerates upward 2g , what will the period of oscillation of the object ?
Calculate the change in the melting point of naphthalene for one atmosphere rise in pressure given that its melting point is 80 C. Latent heat of fusion is 4563 cal/mol and increase in volume on fusion is 18.70 cm3 per mol and 1 calorie = 4.2×10^7..
A particle undergoes a displacement Δr of magnitude 57 m in a direction 25° below the x axis. Express Δr in terms of the unit vectors x and y.
If the mass of both weights is 150 gm, the first mass is located 30 north of east, the second mass is located 30 south of east, and the transducer sensitivity is 0.5 volts/Newton, how large a voltage do you expect to measure? Suppose the transducer h..
The flywheel of an engine has a moment of inertia 2.80 {rm kg} cdot {rm m} ^ {2} about its rotation axis. What is its final kinetic energy.
A 258-kg log is pulled up a ramp by means of a rope that is parallel to the surface of the ramp. The ramp is inclined at 30.0° with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.980, and the log has ..
When in deep space, the block accelerates at 4.2 m/s^2 even as a 120 N force is applied to it. The coefficient of static friction for a particular plane and this block is 0.31. What angle can this plane make with horizontal before the object starts t..
What is magnitude of the change in the magnetic field
Two speakers, one directly behind the other, are each generating a 374-Hz sound wave. What is the smallest parting distance between the speakers that will generate destructive interference at a listener standing in front of them? Take the speed of so..
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