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We will consider a "race" between a listeria bacteria (about 1 μm across) that swims along a straight track inside a (much larger ~15 μm) mammalian cell that it has infected. The listeria emits a pulse of signaling molecules. The listeria itself moves in the cell at a speed of about 5 μm/s. The question we want to tackle is whether molecules emitted by the listeria cell could move ahead of the cell as they diffuse.
A. Assume that a Listeria cell, when at one end of the mammalian cell, emits a pulse of molecules with diffusion constant of D=200 μm2/s. The Listeria cell then moves to the other side of the mammalian cell, reaching the other side of the cell in 3 seconds. How much time does it take the diffusing molecules to reach the other end of the cell?
A small mailbag is released from a helicopter that is descending steadily at 1.58 m/s. After 4.00 s, what is the speed of the mailbag
A double-slit apparatus consists of two of slits separated by 0.25 mm with a screen 5.0 cm away. Calculate the wavelength of the light
The front 1.20 m of a 1600 kg car is designed as a "crumple zone" that collapses to absorb the shock of a collision.
A hydrogen atom initially in the n=3 level emits a proton and ends up in the ground state. what must the energy of this photon be and What is the energy of the emitted photon
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Determine the tangential speed of Nairobi, Kenya, a city near the equator? The earth makes one revolution every 23.93 hour and has an equatorial radius of 6380 kilometer
The resistance of a 100-cm wire of cross sectional area 2 × 10-6 m2 is 400 ?. What is the resistivity of the material of this wire
The half-life of a radioactive sample containing 3.60 x 1012 atoms is 12.6 minute. Find how many atoms of the sample remain after 26 minutes
An object is attached to the lower end of a 100-coil spring that is hanging from the ceiling. The spring stretches by 0.160 m. The spring is then cut into two identical springs of 50 coils each. Each spring is attached between the ceiling and the obj..
A uniform board is leaning against a smooth vertical wall. The board is at an angle (theta) above the horizontal ground. Find the smallest value for the angle (theta), such that the lower end of the board does not slide along the ground.
A 89 kg man lying on a surface of negligible friction shoves a 88 g stone away from himself, giving it a speed of 3.5 m/s. What speed does the man acquire as a result
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