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April 24, 2014

Homework Help: physics

Posted by jhon on Thursday, August 16, 2012 at 2:58am.

A motorboat travels due north at a steady speed of 3.0 m/s through calm water in which there is no current. The boat then enters an area of water in which a steady current flows at 2.0 m/s in a southwest direction, as shown in the next picture. Both the engine power and the course setting remain unchanged.

a) explain how the above paragraph gives information not only about the speed of the boat but also about its velocity.
b) draw a vector diagram showing the velocity of the boat and the velocity of the current. Use the diagram to find
i) the magnitude of the resultant velocity
ii) the angle between due north and the direction of travel of the boat.
c) calculate the distance the boat now travels in 5 mins;
d) mass of boat is 3.0 x 103kg (3000kg). Calculate the additional force that needs to be applied to give the boat an initial acceleration of 2.5 x 10-2m/s2 (0.025 m/s2).

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