Question

A boat moves through the water with two forces acting on it. One is a 1,575−N forward push by the water on the propeller, and the other is a 1,200−N resistive force due to the water around the bow.

(a) What is the acceleration of the 1,300−kg boat?

Answer 1

The acceleration of the boat can be found using the equation: Acceleration = (Net Force) / (Mass). The net force acting on the boat can be calculated by taking the difference between the forward push force and the resistive force. By substituting the given values into the equations, the acceleration of the boat is found to be 0.288 m/s².

Step-by-step explanation:

The acceleration of the boat can be found using the equation:

Acceleration = (Net Force) / (Mass)

The net force acting on the boat can be calculated by taking the difference between the forward push force and the resistive force:

Net Force = Forward Push Force - Resistive Force

Substituting the given values into the equations, we have:

Forward Push Force = 1,575 N

Resistive Force = 1,200 N

Mass of the boat = 1,300 kg

Net Force = 1,575 N - 1,200 N = 375 N

Acceleration = 375 N / 1,300 kg = 0.288 m/s²

Therefore, the acceleration of the boat is 0.288 m/s².