A boat moves through the water with two forces acting on it. One is a 2304N forward push by the motor on the propeller, and the other is a 2154N resistive force due to the water around the bow.
What is the acceleration of the 1293kg boat?
Answer in units of m/s^2.
sum of forces forward = 2304 - 2145
F = m a
a = (2304 - 2145) / 1293
a = .123 m/s^2
To find the acceleration of the boat, we can use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass.
The net force acting on the boat is the forward push by the motor minus the resistive force due to the water. Therefore, we can calculate the net force as follows:
Net Force = Forward Push - Resistive Force
= 2304 N - 2154 N
= 150 N
Next, we can plug the net force and the mass of the boat into the formula for acceleration:
Acceleration = Net Force / Mass
= 150 N / 1293 kg
≈ 0.116 m/s²
Therefore, the acceleration of the boat is approximately 0.116 m/s².