The figure above shows an object of mass 0.5 kg that is suspended from a scale and submerged in a liquid. If the reading on the scale is 4 N, then the buoyant force that the fluid exerts on the object is most nearly:
1.3 N
1.0 N
0.75 N
0.33 N
0.25 N
s
To find the buoyant force that the fluid exerts on the object, we need to use Archimedes' principle. According to Archimedes' principle, an object submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid it displaces.
In this case, the object has a mass of 0.5 kg and is suspended from a scale, which reads 4 N. The scale measures the weight of the object, which is equal to the force of gravity acting on it.
To calculate the buoyant force, we need to find the weight of the fluid displaced by the object. Since the mass of the object is given, we can find its weight using the formula:
Weight = mass * acceleration due to gravity
Weight = 0.5 kg * 9.8 m/s^2 = 4.9 N
Therefore, the object displaces a weight of 4.9 N of fluid. Since the buoyant force is equal to the weight of the fluid displaced, the buoyant force exerted by the fluid on the object is approximately 4.9 N.
The answer choices provided do not match exactly with the correct answer calculated. However, the closest option is 4.9 N.