Question

If we apply $ 10 \, \text{N $ of force on an object, then the acceleration produced is $ 2.5 \, \text{m/s}^2 $. What is the mass of the object?}

• A. $ 4 \, \text{kg} $
• B. $ 8 \, \text{kg} $
• C. $ 12 \, \text{kg} $
• D. $ 16 \, \text{kg} $

Hint:

Always use Newton's second law, $ F = ma $, to relate force, mass, and acceleration. Ensure you substitute the given values correctly before solving for the unknown variable.

Answer 1

The Correct Option is B

Step 1: Recall Newton's Second Law of Motion.
Newton's second law states: \[ F = ma \] where: \( F \) is the net force applied on the object (in newtons),
\( m \) is the mass of the object (in kilograms),
\( a \) is the acceleration produced (in \( \text{m/s}^2 \)).
Step 2: Rearranging the equation to find mass. \[ m = \frac{F}{a} \] Step 3: Substitute the given values. \[ F = 10 \, \text{N}, \quad a = 2.5 \, \text{m/s}^2 \] \[ m = \frac{10}{2.5} = 4 \, \text{kg} \] Final Answer: The mass of the object is \( \boxed{4 \, \text{kg}} \).