Questions: What is the mass of an object accelerating at 3.9 m/s^2 as it experiences 225 N of force?

Solution Steps

Use Newton's second law of motion, which states that force (\( F \)) is the product of mass (\( m \)) and acceleration (\( a \)):

\[ F = m \cdot a \]

To find the mass (\( m \)), rearrange the formula to solve for \( m \):

\[ m = \frac{F}{a} \]

Substitute the given values for force (\( F = 225 \, \text{N} \)) and acceleration (\( a = 3.9 \, \text{m/s}^2 \)) into the formula:

\[ m = \frac{225 \, \text{N}}{3.9 \, \text{m/s}^2} \]

Perform the division to find the mass:

\[ m = 57.69 \, \text{kg} \]

Final Answer