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A tiny drop of dye is put in a very still tub of water. The dye molecules travel about 10^-11 m between collisions and undergo about 10^13 collisions per second. The direction of any step is completely arbitrary; all directions are equally probable. For molecular motion in one direction, calculate the average distance traveled and the standared deviation after:
a) one step
b) one minute
c) one year (3.17x10^7 sweconds)
Ilustrate what is the magnitude of the torque about his shoulder if he holds his arm in each of the following ways? Straight out to his side, parallel to the floor.
What is potential barrier for the molecule aggregation? Will the solution be stable at these conditions? Will it be stable at 100 mmol/L salt concentration?
A 25kg solid door is 220cm tall, 91cm wide. What is the door's moment of inertia for rotation about a vertical axis inside the door, 15cm from one edge.
A cluster of galaxies has a radius of about 5.2 million light-years (4.9×10^22) and an intracluster medium with a temperature of (6.5×10^7) K. Estimate the mass of the cluster. Give the answer in both kilograms and solar masses. Suppose combined l..
A baseball player hits a ball towards the outfield with an initial velocity of 76.0 m/s at an angle of 45 relative to the ground. The outfield is 118 m away and is 4.0 m tall.
The magnitude of the vector is 45.0 units and points in the direction 386 counter clockwise from the positive x-axis. Calculate the x-component of this vector.
A conducting rectangular loop of mass M, resistance R, and dimensions w by l falls from rest into a magnetic field. All through the time interval before the top edge of the loop reaches the field, the loop approaches a terminal speed vT.
Visualize the one cubic centimeter as formed by stacking up identical cubes, with one copper atom at the center of each. Determine the volume of each cube.
An electron with an initial speed of 4.00×105m/sis brought to rest by an electric field, What was the initial kinetic energy of the electron, in electron volts
For the motion from the initial free until the piece of wood comes to rest, what is the total amount of work completed by friction.
A girl sits fixed on a merry-go-round of mass M = 500 kg and radius R = 2 m. The merry-go-round is at first at rest and is free to rotate without friction.
A converging lens of focal length 7.930cm is 16.6 cm to the left of a diverging lens of focal length -6.0cm. A coin is placed 12.60cm to the left of the converging lens. Determine the location of the coin's final image.
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