Lennie Carroll
2021-05-20
Answered

Assume that a ball of charged particles has a uniformly distributednegative charge density except for a narrow radial tunnel throughits center, from the surface on one side to the surface on the opposite side. Also assume that we can position a proton any where along the tunnel or outside the ball. Let $F}_{R$ be the magnitude of the electrostatic force on the proton when it islocated at the ball's surface, at radius R. As a multiple ofR, how far from the surface is there a point where the forcemagnitude is 0.44FR if we move the proton(a) away from the ball and (b) into the tunnel?

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yagombyeR

Answered 2021-05-22
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Jeffrey Jordon

Answered 2021-10-14
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(a) The flux is still

(b) We use

asked 2021-02-19

The rotor (flywheel) of a toy gyroscope hasmass 0.140 kg. Its moment of inertia about its axis is . The mass of the frame is 0.0250 kg. The gyroscopeis supported on a single pivot javascript:void(0); with its center of mass a horizontaldistance of 4.00 cm from the pivot. The gyroscope is precessing ina horizontal plane at the rate of one revolution in 2.20 s.
Find the upward force exerted by thepivot.
Find the angular speed with which the rotoris spinning about its axis, expressed in rev/min.
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A stream of water strikes a stationary turbine bladehorizontally, as the drawing illustrates. The incident water streamhas a velocity of +18.0 m/s, while the exiting water stream has avelocity of -18.0 m/s. The mass of water per second that strikesthe blade is 17.0 kg/s. Find themagnitude of the average force exerted on the water by theblade.

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a. What is the earth’s angular speed?

b. Viewed from a point above the north pole, is the angular velocity positive or negative?

c. What is the speed of a point on the equator?

d. What is the speed of a point on the earth’s surface halfway between the equator and the pole? (Hint: What is the radius of the circle in which the point moves?)

a. What is the earth’s angular speed?

b. Viewed from a point above the north pole, is the angular velocity positive or negative?

c. What is the speed of a point on the equator?

d. What is the speed of a point on the earth’s surface halfway between the equator and the pole? (Hint: What is the radius of the circle in which the point moves?)

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evaluate dy and delta y

let

evaluate dy and delta y if

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Given:

Find the scale factor from