Final answer:
Using Newton's second law of motion, the mass of the boat is found to be approximately 8,163 kg, which does not match with any of the provided options, indicating a possible error in the question or options.
Step-by-step explanation:
The mass of the boat can be found using Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass (m) and its acceleration (a). The equation for this is 'F = ma'. In this case, we know the net force (150 N) and the weight of the boat (80,000 N), which is the force of gravity acting on the boat. Since weight is also the product of mass and gravitational acceleration (W = mg), we can find the mass by dividing the weight by the acceleration due to gravity (9.8 m/s2).
So, the mass (m) of the boat is m = weight (W) / gravitational acceleration (g), which is m = 80,000 N / 9.8 m/s2. Calculating this gives us a mass of approximately 8,163 kg (rounded to the nearest kilogram).
Since the provided options (a 320 kg, b 530 kg, c 533.33 kg, d 534.67 kg) do not include the correct mass, it seems there might have been an error in the question or the provided options. However, based on the calculation using Newton's second law of motion, the mass of the boat can be correctly determined in kilograms despite the mismatch with the provided options.