I AN TIMED, HURRY!! What is the buoyancy force on a 15 g object which displaces 60 mL of water? (Remember to change mL of water to grams and grams to kg) A)900 N B)25 N C)0.59 N D)0.25 N

Physics · Middle School · Thu Feb 04 2021

Answered on

 The buoyancy force, also known as the buoyant force, is equal to the weight of the fluid that the object displaces. Water has a density of 1 gram per milliliter (g/mL), so 60 mL of water has a mass of 60 grams. To find the force, we need to convert the mass to kilograms because the standard unit of force is the newton (N), and it is based on kilograms, not grams.

Here is the step-by-step calculation:

1. Convert the volume of water from mL to grams (since the density of water is 1 g/mL, the mass in grams is equal to the volume in mL). 60 mL of water = 60 grams of water

2. Convert the mass of water from grams to kilograms. 60 grams = 60 / 1000 kilograms = 0.06 kilograms

3. The weight of water (which is equal to the buoyant force) is the mass times the acceleration due to gravity (about 9.8 m/s²). F_buoyancy = mass * gravity F_buoyancy = 0.06 kg * 9.8 m/s²

4. Calculate the buoyant force. F_buoyancy = 0.06 kg * 9.8 m/s² = 0.588 N (rounded to three significant figures)

So, the buoyant force on the object is 0.588 N, which is approximately 0.59 N when rounded to two decimal places. The correct answer is C) 0.59 N.