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Suppose biological cell membrane has a specific capacitance of ~1μF/cm^2. Calculate the capacitance of a typical cell with diameter of ~10 μm. Suppose the membrane potential is -60mV, calculate the amount of net charge kept inside the cell. Calculate how many Na+ ions need to go across the membrane to alter the membrane potential from -60mV to 40 mV. Note: The charge of a single Na+ ion = 1.602x 10^(-19) C (Reference: https://www.scholarpedia.org/article/Electrical_properties_of_cell_membranes)
You accidentally throw your car keys horizontally at 8.0 m/s from a cliff 64 m high. How far from the base of the cliff should you look for the keys
A lithium-5 nucleus is moving at 1.6 Mm/s when it decays into a proton and an alpha particle. What are the magnitude and direction of the proton's velocity
A series RLC circuit has a resistance of 12 ohms and an impedance of 10 ohms, what average pewer is delieverd to circuit
A laser pulse has an energy of 25 J and a beam radius of 2 mm. The pulse duration is 6 ns and the energy density is constant within the pulse. What is the spatial length of the pulse
question two insulating spheres have radii r1 and r2 masses m1 and m2 and uniformly distributed charges -q1 and q2.
Suppose you loft a ball in a tennis game with an initial speed of 16.5 m/s at an angle of 52.0 degrees above the horizontal. With what minimum average speed must he move
Point charges of +1nc, +3nc and -3nc are located at each of three corners of an equilateral triangle with side length of 30cm. Find the net electrostatic fornce exerted on the +1nc charge.
A large arm model was constructed with a free arm which weights 1 kg, an additional weight of 1 kg is supported by the arm at a distance of 12 cm from the pivot. What is the total torque of the resistance
A 5.0 kg box, starting from rest, slides down a 5.0 m high frictionless hill, then across a 2.0 m wide horizontal surface, and finally hits a horizontal spring with spring constant 500 N/m. find the speed of the box just before hitting the spring
A light rod 1.00 meter in length rotates about an axis perpendicular to its length and passing through its center. Compute what is the system kinetic energy when its angular speed is 2.50 rad/s
A soccer player kicks the ball off the ground at an angle ? above the horizontal. The ball is in the air for 3.0 seconds, Find the soccer ball's initial horizontal (vox) velocity component
how do the phase angle and current change as the resistance changes in a circuit where the frequency stays constant?
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