Transverse waves on a string have wave speed v=8.00 m/s, amplitude a=0.0700m, and direction, and at t=0 the x-0 end of the wavelength -0.320m. the waves travel in the -x string has its maximum upward displacement. a) find the frequency, period and wave number of these waves b) write a wave function describing the wave c) find the transverse displacement of a particle at x=0.360m at time t=0.150 d) how much time must elapse from the instant in part (c) until the particle at x-0.360 m next has maximum upward displacement?

Your starship, the aimless wanderer, lands on the mysterious planet mongo. as chief scientist-engineer, you make the following measurements: a 2.50-kg stone thrown upward from the ground at 14.0 m/s returns to the ground in 5.70 s ; the circumference of mongo at the equator is 2.20×10^5 km ; and there is no appreciable atmosphere on mongo. (a) the starship commander, captain confusion, asks for the following information: what is the mass of mongo? (b) if the aimless wanderer goes into a circular orbit 2.20×10^4 km above the surface of mongo, how many hours will it take the ship to complete one orbit? (c) an unmanned spacecraft is in a circular orbit around the moon, observing the lunar surface from an altitude of 44.0 km . to the dismay of scientists on earth, an electrical fault causes an on-board thruster to fire, decreasing the speed of the spacecraft by 23.0 m/s . if nothing is done to correct its orbit, with what speed (in km/h) will the spacecraft crash into the lunar surface?