Learning verification exercises

1) A particular particle of mass 3.0 kg is in simple motion, in one dimension moving according to aeonic a: X = 5.0 cos (t/3 + em x/4), with em x in x meters and time in seconds. A) For what value of X will the potential energy of the particle be equal to half the total energy? B) at this point, what will be the speed of the particle? C) At what instant of time does this occur?

2) The wave in the figure represents a transverse wave, propagating. Determine: a) wave amplitude, wavelength, and propagation speed, knowing its frequency is 10 Hz. b) Write the wave equation.

40 cm\f