Final answer:
To float, a person with a mass of 45 kg must displace water with a weight equal to their weight on Earth. This is calculated to be 441.45 N and the closest option is 450 N. the correct answer is A. 450 N
Step-by-step explanation:
To float in water, a person must displace a volume of water that is equal in weight to their own body weight. Since weight is the force exerted by gravity on a mass, and for Earth, this force is calculated by multiplying the mass by the acceleration due to gravity (approximately 9.81 m/s2).
To float in water, the weight of the water displaced must be equal to your weight. Weight is equal to mass multiplied by the acceleration due to gravity. Given that your mass is 45 kg, we can calculate the weight of the water displaced as follows:
Weight of water displaced = Mass x Acceleration due to gravityIf a person has a mass of 45 kg, the weight that needs to be displaced for them to float is the product of their mass and the acceleration due to gravity.
Weight = Mass × Gravity
Weight = 45 kg × 9.81 m/s2
Weight = 441.45 N
Since we need to choose the closest available option, which will allow the person to float by displacing an equivalent amount of water weight, the correct answer is A. 450 N, as it is the closest value to the calculated weight of 441.45 N.