Question

Two ships are moving along a line due east. The trailing vessel has a speed relative to land-based observation point of V₁=63.0 km/h, and the leading ship has a speed of V₂=45.0 km/h relative to the point. The two ships are in a region of the ocean where the current is moving uniformly due west at V_current= 10.8 km/h. The trailing ship transmits a sonar signal at a frequency of 1,200.0 Hz through the water. What frequency is monitored by the leading ship?(Use 1,533 m/s as the speed of sound in ocean water. Express your answers to five significant figures.

Answer 1

Given The to the of ships, E15.5 mis. Trailing ship Velocity, if = 63 kenth 55.punt. Leading ship velocity, V =45km/h Veurrent = 10.8km/h ocean current iso opposite direction of the trand - VL - 45- (-108) 63 - (-10:8) = 73.8kulh. = 20.5m/ Trailing ship sonal signal frequency, f = 12000 HZ ocean water speed - 150 Leading ship's frequency fl= (v + (-1) $ f'= 1200 IX mis. ' v- vt 1200 ( 1533-150 TS3] - 2005 = 1204.029 hz