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1. Find the function i(t) that satisfies the following differential equation and the initial condition:(500)(di(t)/dt) + 25ki(t) = 0, i(0) = 25mA2. Find the function v(t) that satisfies the following differential equation and initial condition:
(10-4)(dv(t)/dt) + v(t) = 0, v(0) = 100V
A hot-air balloon is rising upward with a constant speed of 3.88 m/s. When the balloon is 7.87 m above the ground, How much time elapses before the compass hits the ground
A 20 kg loudspeaker is suspended 2.0m below the ceiling by two cables that are 30 degrees from vertical. what is the tension in the cables
A double-slit interference pattern is created with two narrow slits spaced 0.2 mm apart. The distance among the first and the fifth minimum on a screen 60mm behind the slits is 6.0 mm. What is the wavelength of the light utilized in the experiment?
A coin is placed 32 cmfrom the center of a horizontal turntable, initially at rest. Theturntable then begins to rotate. When the speed of the coin is 100cm/s (rotating at a constant rate), the coin just begins to slip.The acceleration of gravity i..
An electron is accelerated by a constant electric field of magnitude 325 N/C. (a) Find the acceleration of the electron. m/s2 (b) Use the equations of motion with constant acceleration to find the electron's speed after 9.00 10-9 s, assuming it st..
Liquid helium is stored at its boiling point temperature of 4.2K in a spherical container (r=0.30 meter). The container is a perfect blackbody radiator. Calculate what mass of liquid helium boils away through a venting valve in 1 hour
Light in air is incident perpendicularly on a sheet of crown glass having an index of refraction of 1.522. Determine both the reflectance and transmittance.
a rocket is fired at a speed of 72.0 ms from ground level at an angle of 50.0 deg above the horizontal. the rocket is
q1. an archer puts a 0.26 kg arrow to the bowstring. an average force of 213 n is exerted to draw the string back 1.3
Find the magnetic field at a point 34.0 cm above the point of intersection of the wires along the z axis; that is, 34.0 cm out of the page, toward you.
An object moves with constant acceleration 3.55 m/s2 and over a time interval reaches a final velocity of 12.8 m/s. What is the distance it travels during this interval
assume you have a perfectly isolated closed system under reversible and isothermal conditions where pv 0.8
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