Find the mass of the refrigerator which is just started moving by a force of 6,350 N along a tile floor with a coefficient of friction of 0.30.

To solve for the mass of the refrigerator using the provided force and coefficient of friction, it’s essential to understand the relationship between these variables in the context of frictional force.

When an object starts moving across a surface, the static friction is overcome by the applied force. The force of friction can be calculated with the formula:

Frictional Force (F_friction) = Coefficient of Friction (μ) × Normal Force (N).

In this scenario, when the refrigerator is on a flat surface, the normal force (N) is equal to the weight of the refrigerator, which can be represented as:

N = mass (m) × gravitational acceleration (g)

Given that the gravitational acceleration (g) is approximately 9.81 m/s², we can rewrite the formula for frictional force as:

F_friction = μ × m × g.

Now, we're told that the applied force is 6,350 N, which is equal to the frictional force when the refrigerator just starts moving:

6,350 N = 0.30 × m × 9.81 m/s².

To find the mass (m), we rearrange this equation:

m = 6,350 N / (0.30