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1. Write expressions for the derivative (t > 0) and integral (from 0 to t) of the exponential waveform i(t) = [100e-2500t] u(t) mA.
2. An exponential waveform decays to 50% of its initial (t = 0P) amplitude in 20 μs. Find the time constant of the waveform.
A child slides down a slide with a 26° incline, and at the bottom her speed is precisely half what it would have been if the slide had been frictionless. Calculate the coefficient of kinetic friction between the slide and the child.
Given mass of skier 70kg, initial speed of 12.0m/s, friction coefficient of 0.74, time of 30s, angle is 30 above horizontal how long is the ski trail
what is the potential difference between the plates.Take the zero of the gravitational potential energy to be at the position of the child as the ropes are horizontal.
an electron is accelerated by a constant electric field of magnitude 290 nc. a find the acceleration of the electron. b
A uniform magnetic field of magnitude 0.80 T is directed perpendicular to the plane of a rectangular loop, calculate the magnetic flux through the loop
A ray of light is traveling in glass and strikes a glass/liquid interface. The angle of incidence is 56.0°, and the index of refraction of glass is n = 1.50. What should be the index of refraction of the liquid such that the direction of the light en..
A hypodermic syringe contains a medicine with the density of water (see figure below). The barrel of the syringe has a cross-sectional area of 2.50 x 10^-5 m2. In the absence of a force on the plunger, the pressure everywhere is 1.00 atm.
Compute the gravitational potential due to a thin rod of length L and mass M at a point P located a distance R from the end of the rod and in a direction perpendicular to the rod. Suppose that the density of the rod is not constant, However changes a..
A cue ball, which has a mass of 170 g, collides head-on with a stationary 8-ball, which has a mass of 160 g. The 8-ball then takes off at 120 cm/s. What was the velocity of the cue ball before and after collision
The acceleration due to gravity of a particle falling toward the earth is a = -gR2/r2, where r is the distance from the center of the earth to the particle, R is the radius of the earth, and g is the acceleration due to gravity at the surface of t..
A photographer in a helicopter ascending vertically at a constant rate of 15.0m/s accidentally drops a camera out the window when the helicopter is 60.0m above the ground. How long will the camera take to reach the ground
The inner edge of a race track is in the form of a rectangle with two semicircular ends on the shorter sides. The rectangle is 87.0 m wide and 132.0 m long. The race track is 5.50 m wide. What is the dissimilarity between the longest path around the ..
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