We would like to use the fundamental frequency of a wire to measure gravity on a new planet. we will first calibrate an instrument on earth. we will then use the instrument on this new celestial body. a. we hang a wire having a mass of 3.58 g and length 44.2 cm from the ceiling. what mass would we hang from this wire (giving us tension) to get a fundamental mode of vibration at 100 hz? b. using the same wire and mass from the previous section to the new if we set the experiment up again and measure a new fundamental frequency of 98.9 hz, what is g on this new planet? g acceleration of gravity

Aplane takes off from an airport and flies to town a, located d1 = 215 km from the airport in the direction 20.0° north of east. the plane then flies to town b, located d2 = 230 km at 30.0° west of north from town a. use graphical methods to determine the distance and direction from town b to the airport. (enter the distance in km and the direction in degrees south of west.)

Search coils and credit cards. one practical way to measure magnetic field strength uses a small, closely wound coil called a search coil. the coil is initially held with its plane perpendicular to a magnetic field. the coil is then either quickly rotated a quarter-turn about a diameter or quickly pulled out of the field. (a) derive the equation relating the total charge q that flows through a search coil to the magnetic-field magnitude b. the search coil has n turns, each with area a, and the flux through the coil is decreased from its initial maximum value to zero in a time ∆t. the resistance of the coil is r, and the total charge is q = i∆t, where i is the average current induced by the change in flux. (b) in a credit card reader, the magnetic strip on the back of a credit card is rapidly “swiped” past a coil within the reader. explain, using the same ideas that underlie the operation of a search coil, how the reader can decode the information stored in the pattern of magnetization on the strip. (c) is it necessary that the credit card be “swiped” through the reader at exactly the right speed? why or why not?

How would a small bar magnet be oriented when placed at position x?