c) How can the fan on the airboat be used to change the direction the boat is travelling in? How can it be used to increase or decrease the speed of the boat? d) If the boat is going upstream against a current that has a force of 250 N against the motion of the boat, find the acceleration of the boat if there is a forward force of 360 N from the fan. (Remember that the mass of the boat is 220 kg.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
Section: Chapter Questions
Problem 8CQ
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Please answer C and D and please explain how you did it.

As seen in the picture, an airboat is a special type of boat that has a large fan mounted on the back instead of a motor that sits in the water. It is used in places where the water is shallow and weedy, so motors that stick down into the water cannot be used.

a) Using Newton’s Third Law, explain why the fan needs to be pointed so the air blows out backwards.

b) If the force of the fan pushes the air backwards with 150 N, what is the forward force of the air on the boat? If the mass of the boat is 220 kg, and you ignore friction between the boat and the water, find how far the boat will travel in the first minute.

c) How can the fan on the airboat be used to change the direction the boat is travelling in? How can it be used to increase or decrease the speed of the boat?

d) If the boat is going upstream against a current that has a force of 250 N against the motion of the boat, find the acceleration of the boat if there is a forward force of 360 N from the fan. (Remember that the mass of the boat is 220 kg.)

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