Anovelty golf ball of mass m is launched with an initial velocity v0 = (25i + 13j) m/s and then follows a parabolic trajectory. at the top of the ball’s trajectory, it explodes into two fragments a and b. fragment a has mass ma = 1/3 m and is stationary immediately after the explosion, while fragment b has mass mb = 2/3 m and has non-zero velocity vb immediately after splitting from fragment a. in answering the following questions, ignore air resistance and assume the terrain over which the ball and fragments fly is level.(a) how many seconds after the launch does the ball attain its maximum height? (b) what is the velocity v of the ball immediately prior to the explosion? (c) what is the velocity of fragment b immediately before it hits the ground?

Suppose that recording station n is located 200 km north of the epicenter of an earthquake, and recording station s is located 100 km south of the epicenter of the same earthquake. which of the following statements would be true?

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?

What happens when you slowly pulled the carboard?