Answer :
The boat experiences a net force of 280 N, with a mass of 1227.4 kg. Its acceleration is approximately 0.228 m/s², determined using Newton's second law of motion.
To find the acceleration of the boat, we'll use Newton's second law of motion:
Acceleration (a) = Net Force (Fnet ) / Mass (m).
The motor provides a forward push of 2.06×10³ N (Newtons), while the water exerts a resistive force of 1.78×10³ N.
Now, let's calculate the net force:
Net Force (Fnet ) = Forward Push - Resistive Force
Fnet = 2.06×10³ N - 1.78×10³ N
Fnet = 280 N.
The boat's mass is 1227.4 kg.
Now, we can calculate the acceleration:
a = Fnet / m
a = 280 N / 1227.4 kg
a ≈ 0.228 m/s².
The acceleration of the 1227.4 kg boat is approximately 0.228 m/s².
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