A 214 Kg boat is sinkin in the ocean. The boat has a weight of 2100 N. The boat's weight is partially offset by the 790 N buoyant force of the water acting upward. What is the net acceleration of the boat
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To find the net acceleration of the boat, we need to apply Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).
In this scenario, the net force acting on the boat can be calculated by subtracting the buoyant force from the weight of the boat:
Net Force = Weight of the boat - Buoyant force
Given that the weight of the boat is 2100 N and the buoyant force is 790 N, we can plug these values into the equation:
Net Force = 2100 N - 790 N
Net Force = 1310 N
Now, we can use Newton's second law to find the net acceleration of the boat. Rearranging the equation, we have:
Net Force = ma
Substituting the known values, we have:
1310 N = (214 kg) * a
To isolate the acceleration (a), we can divide both sides of the equation by the mass (214 kg):
1310 N / 214 kg = a
Simplifying this equation, we find:
a ≈ 6.12 m/s²
So, the net acceleration of the boat is approximately 6.12 m/s².