Boat Acceleration: Calculate Force, Mass & m/s^2

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    Accelerating Boat
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To calculate the acceleration of a boat with a mass of 1146 kg, the net force must be determined by subtracting the resistive force of 1774 N from the forward push of 2021 N. The net force is 247 N in the forward direction. Using Newton's second law, acceleration can be calculated with the formula a = f/m, resulting in an acceleration of approximately 0.216 m/s². It is essential to consider the direction of the forces, with the forward push being positive and the resistive force negative. The boat accelerates in the positive direction due to the net force being greater than zero.
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a boat moves through the water with 2 forces acting on it. one is a
2021N forward push by the motor on the propeller, and the other is an 1774N resistive force due to the water around the bow. What is the acceleration of the 1146kg boat? Answer in units of m/s^2.

would i use a=f/m for this problem?
 
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krazykaci said:
would i use a=f/m for this problem?
Yes.

You have the mass of the boat, m.
All you need to figure out is the net force on the boat, f, then use Newton's 2nd law to work out the acceleration, a.
 
Yes, where f would be the resultant of the two forces acting on the boat.

Take the right direction as (+), then if direction of F1 is ' + ' and direction of F2 is ' - ', and if |F1| > |F2|, then the boat accelerates to right in the + direction. (bold letter implies vector, which magnitude and direction.)
 
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