An antique vase sits on a frictionless surface. A 39.3 N force is applied to the vase, and it accelerates at 8.1 m/s2. What is the mass of the vase?

F = ma,

m = F/a = 39.3/8.1 = 4.85 kg.

To determine the mass of the vase, we can use Newton's second law of motion, which states that the force exerted on an object is equal to its mass multiplied by its acceleration. Mathematically, this can be written as:

Force = Mass x Acceleration

Given that the force applied to the vase is 39.3 N and the acceleration is 8.1 m/s², we can rearrange the equation to solve for the mass of the vase:

Mass = Force / Acceleration

Plugging in the values, we have:

Mass = 39.3 N / 8.1 m/s²

Using a calculator, we can divide 39.3 N by 8.1 m/s² to find the mass of the vase. The result will give us the mass of the vase in kilograms.