Ablock with mass m =6.9 kg is hung from a vertical spring. when the mass hangs in equilibrium, the spring stretches x = 0.24 m. while at this equilibrium position, the mass is then given an initial push downward at v = 5.1 m/s. the block oscillates on the spring without friction. 1) what is the spring constant of the spring? a: 282.04 n/m (correct) 2) what is the oscillation frequency? a: 1.02 hz (correct) 3) after t = 0.32 s what is the speed of the block? a: ? m/s 4) what is the magnitude of the maximum acceleration of the block? a: ? m/s^2 5) at t = 0.32 s what is the magnitude of the net force on the block? a: ? n 6) where is the potential energy of the system the greatest? a) at the highest point of the oscillation. b) at the new equilibrium position of the oscillation. c) at the lowest point of the oscillation. (i can choose multiple options for question 6).   note: i've had a lot of trouble figuring out the answer to q3 - i know it's not 5.1, as that is the maximum velocity. i've tried many more but i'm stuck.

Chapter 23, problem 075 the figure shows a geiger counter, a device used to detect ionizing radiation (radiation that causes ionization of atoms). the counter consists of a thin, positively charged central wire surrounded by a concentric, circular, conducting cylindrical shell with an equal negative charge. thus, a strong radial electric field is set up inside the shell. the shell contains a low-pressure inert gas. a particle of radiation entering the device through the shell wall ionizes a few of the gas atoms. the resulting free electrons (e) are drawn to the positive wire. however, the electric field is so intense that, between collisions with gas atoms, the free electrons gain energy sufficient to ionize these atoms also. more free electrons are thereby created, and the process is repeated until the electrons reach the wire. the resulting "avalanche" of electrons is collected by the wire, generating a signal that is used to record the passage of the original particle of radiation. suppose the radius of the central wire is 24 âµm, the inner radius of the shell 2.3 cm, and the length of the shell 14 cm. if the electric field at the shell's inner wall is 2.8 ă— 104 n/c, what is the total positive charge on the central wire?

Notice how they put future which of the clouds shown would indicate a possible future rain storm? a) b) c) d)

Which of the following is a true statement about the acceleration ~a of the pendulum bob ~a is equal to the acceleration due to gravity. ~a is perpendicular to the bob’s trajectory. ~a is equal to the instantaneous rate of change in velocity. ~a is tangent to the bob’s trajectory.