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

In summary, the boat is experiencing a forward push of 2021N from the motor's propeller and a resistive force of 1774N from the water around the bow. To find the acceleration, we can use Newton's second law by dividing the net force by the mass of the boat. We can also determine the direction of the acceleration by taking the direction of the larger force as positive and the direction of the smaller force as negative.
  • #1
krazykaci
28
0
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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  • #2
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.
 
  • #3
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.)
 

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

What is boat acceleration?

Boat acceleration is the rate at which the velocity of a boat changes over time. It is typically measured in meters per second squared (m/s^2).

How do you calculate boat acceleration?

Boat acceleration can be calculated by dividing the change in velocity (final velocity - initial velocity) by the change in time. This is represented by the formula: a = (vf - vi)/t.

What is force and how does it relate to boat acceleration?

Force is a push or pull that causes an object to accelerate or change its motion. In the context of boat acceleration, the force acting on the boat is the net force, which is the sum of all the forces acting on the boat. This net force is what causes the boat to accelerate.

How does mass affect boat acceleration?

The mass of a boat is directly proportional to its acceleration. This means that the greater the mass of the boat, the more force is needed to accelerate it at a given rate. Therefore, a heavier boat will have a slower acceleration compared to a lighter boat, assuming the same net force is applied.

Why is it important to calculate boat acceleration?

Calculating boat acceleration allows us to understand the rate at which a boat's velocity is changing and the forces that are acting on it. This information is crucial for designing and operating boats safely, as well as for studying the principles of motion and forces in a scientific context.

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