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A particle moves along the x-axis. Its position varies with time according to the expression x(t) = -4t + 2t2, where x is in meters and t is in seconds. a) Determine the displacement of the particle in the two time intervals t = 0 to t = 1 s and t = 1 s to t = 3 s. b) Calculate the average velocity during these two time intervals. c) Find the instantaneous velocity of the particle at t = 2.5 s.
David is driving a steady 28.0m/s while he passes Tina, who is sitting in her car at rest. Tina begins to accelerate at a steady 2.70 at the instant when David passes. How far does Tina drive before passing David.
A 430 microF capacitor is charged to 245 V. after that a wire is connected between the plates. How many joules of thermal energy are produced as capacitor discharges if all of the energy that was stored goes into heating the wire.
What is the tangential acceleration of a bug on the rim of a 13.0-in.-diameter disk if the disk accelerates uniformly from rest to the angular speed of 76.0 rev/min in 3.50 s.
Two large metal plates of area 1.20m2 face each other. They are 4.8cm apart and have equal but opposite charges on their inner surfaces. The strength of the electric field between them is 63N/C.what is the magnitude of the charge on each plate.
What is the minimal mass of helium (density 0.18) needed to lift a balloon carrying two people in a basket, if the total mass of people, basket, and balloon (but not gas) is 320.
A 1.50 kg box (position is given in meters and time is given in seconds) slides on ice for 1.5 seconds and then encounters a rough surface. Find out the momentum at the start of the animation. Is momentum conserved during the first 1.5 seconds? Is..
What is the integral from s to p of B dot dL, where an integral is taken along the dotted path shown, first from point P to point R at (x,y) = (0.707d, 0.707d), and then to point S at (x,y) = (0.6d, 0.6d).
A brick is thrown vertically upward with an initial speed of 4.90 m/s from the roof of a building. If the building is 98 m tall, how much time passes before brick lands on the ground.
A 30 gram mass is hanging from a spring whose unstretched length is 20 cm and whose spring constant is 2.5 N/m. In the list below are described 5 situations. In some of the situations, mass is at rest and remains at rest. In other situations, at the ..
A light bulb emits light uniformly in all directions. The average emitted power is 150.0 W. At a distance of 4.50 m from the bulb, find out (a) the average intensity of the light, (b) the rms value of the electric field, and (c) the peak value of t..
A wire streches from the top of a vertical pole to a point on level ground 16 feet from the base of the pole. if the wire makes an angle of 62 degrees withe the ground, find the height of the pole and length of the wire.
Two loudspeakers are placed 3-m apart. They emit 498 Hz sounds, in phase. A microphone is placed 3.2m distant from a point midway between the two speakers, where an intensity highest is recorded.
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