a. i. If the system shown is in equilibrium (i.e. it is static), describe how the...

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a. i. If the system shown is in equilibrium (i.e. it is static), describe how the forces operating on the boat relate to one another. (1 mark) ii. Write the relationship mathematically using vector notation. (1 mark) iii. Draw a vector diagram showing how these forces can be added together and how the heads and tails of each vector relate to each other (see the Part 2 book, Figure 13.25 (p.197) for an example of a vector diagram). (1 mark) b. The magnitude of forces Fc and FM on the boat are: IFM = 495 KN |Fcl = 684 KN What is the magnitude of FT? Show all your working clearly and give your answer in KN to 3 significant figures. (4 marks) c. The tether has been released and there is now a resultant force FR. i. Describe, in words, what this means for the movement of the boat. (2 marks) ii. Draw a new vector diagram showing the forces acting on the boat including the resultant force. (1 mark) A powered boat is setting out to cross a river. The boat's motor exerts a force FM and the river's current exerts a force Fc on the boat. The boat's owner has forgotten to untie the tether which had secured the boat to the shore and this is exerting a force F on the boat. The forces are shown in the figure. FM FC FT Figure 3 Powered boat setting out to cross a river a. i. If the system shown is in equilibrium (i.e. it is static), describe how the forces operating on the boat relate to one another. (1 mark) ii. Write the relationship mathematically using vector notation. (1 mark) iii. Draw a vector diagram showing how these forces can be added together and how the heads and tails of each vector relate to each other (see the Part 2 book, Figure 13.25 (p.197) for an example of a vector diagram). (1 mark) b. The magnitude of forces Fc and FM on the boat are: IFM = 495 KN |Fcl = 684 KN What is the magnitude of FT? Show all your working clearly and give your answer in KN to 3 significant figures. (4 marks) c. The tether has been released and there is now a resultant force FR. i. Describe, in words, what this means for the movement of the boat. (2 marks) ii. Draw a new vector diagram showing the forces acting on the boat including the resultant force. (1 mark) A powered boat is setting out to cross a river. The boat's motor exerts a force FM and the river's current exerts a force Fc on the boat. The boat's owner has forgotten to untie the tether which had secured the boat to the shore and this is exerting a force F on the boat. The forces are shown in the figure. FM FC FT Figure 3 Powered boat setting out to cross a river