The quantity t1/2=τ ln 2 is called the half-life of an exponential decay, where τ=rc is the time constant in an rc circuit. the current in a discharging rc circuit drops by half whenever t increases by t1/2. for a circuit with "r=1.0 kω and c=4.0 μf, if the current is 6.0 ma at t=4.0 ms", at what time (in ms) will the current be 3.0 ma?
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Arocket starts from rest and moves upward from the surface of the earth. for the first 10.0 s of its motion, the vertical acceleration of the rocket is given by ay = 12.80 m/s32t, where the +y-direction is upward. (a) what is the height of the rocket above the surface of the earth at t = 10.0 s? b) what is the speed of the rocket when it is 325 m above the surface of the earth?
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One soccer player (a) is moving at 4 km/h when she kicks the ball while another soccer player (b) is moving at 8 km/h. what statement accurately compares their kinetic energy if they have the same mass? a) both soccer players have the same kinetic energy. b) player b has twice the kinetic energy of player a. c) player b has four times the kinetic energy of player a. d) their kinetic energy can't be compared without knowing their mass.
Answers: 1
The quantity t1/2=τ ln 2 is called the half-life of an exponential decay, where τ=rc is the time con...
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