A suspension of protein molecules in water (molar mass of 1.05x105 g/mol and radius 3.40x10-9 m) is placed in a test tube. The test tube is placed in a centrifuge which operates at 4200 Hz. a) If the distance from the axis of rotation to the sample is 4.0 cm, what is the terminal velocity assuming the protein reaches it instantaneously? b) How many hours will it take the protein molecules to travel a distance of 6.0 cm to reach the bottom of the test tube?
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- A girl on a bicycle takes 13.6 s to ride half way around a circular track of radius 12.5 m (see the figure below). (a) What is the girl's average speed (in m/s)? m/s (b) What is the magnitude of her average velocity (in m/s)? m/sDuring a very quick stop, a car decelerates at 6.4 m/s2. Assume the forward motion of the car corresponds to a positive direction for the rotation of the tires (and that they do not slip on the pavement). Randomized Variables at = 6.4 m/s2r = 0.26 mω0 = 91 rad/s What distance does the car travel in this time in meters?In downtown Chicago, the east-west blocks are 400 ft long while the north-south blocks are 280 ft long. Because of the many one-way streets, it can be challenging to get around. Veronica starts at the corner of Dearborn and Ohio Streets. She drives four blocks north to Superior, two blocks east to Wabash, then a block south to get to her destination at Wabash and Huron. What is the straight-line distance from her starting point?
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- A record is played by spinning the record so that a circular groove in the vinyl slides under the stylus. Suppose that a record turns at a rate of 33 1/3 rev. min, the groove being played is at a radius of 10.0 cm and the bumps in the grove are uniformly separated by 1.75 mm. At what rate (hits per second) do the bumps hit the stylus? Enter units as hertz (Hz). You will need v=rω ω is in rad/s and 1rev = 2 pi rad.at an instant in time a particles velocity is v = (2.00i + 1.00j) m/s, while it’s acceleration is a = -1.00i m/s^2. at what rate is the particle speeding up / slowing down and what’s the radius of the curve on the particles trajectoryA Tire has a radius of 0.34 m. If it is driven of 2.7 km, What is the total angle that it has rotated ?