Your latest invention is a car alarm that produces sound at a particularly annoying frequency of 3500 hz . to do this, the car alarm circuitry must produce an alternating electric current of the same frequency. that's why your design includes an inductor and capacitor in series. the maximum voltage across the capacitor is to be 12.0 v . to produce a sufficiently loud sound, the capacitor must store an amount of energy equal to 1.65×10−2 j .

An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 137 ft at an angle of 34.0° above the horizontal. it then moves 137 ft at an angle of 48.0° below the horizontal. if we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)

The position of a crate sliding down a ramp is given by x=(0.05t^3) m, y=(1.7t^2) m, z=(6−0.85t^5/2) m, where t is in seconds. (a) determine the magnitude of the crate's velocity when t = 2 s. (b) determine the magnitude of the crate's acceleration when t = 2 s.

If an athlete runs once around a track, back to the starting line, her average velocity is zero. true or false?