Question

A block of mass \(5\ \text{kg}\) is on a frictionless surface; find its acceleration when a force of \(10\ \text{N}\) is applied.

• A. \(1\ \text{m/s}^2\)
• B. \(2\ \text{m/s}^2\)
• C. \(5\ \text{m/s}^2\)
• D. \(10\ \text{m/s}^2\)

Hint:

On a frictionless surface, acceleration can be directly found using \(a = \frac{F}{m}\) since no opposing force acts on the object.

Answer 1

The Correct Option is B

Concept: According to Newton’s Second Law of Motion, \[ F = ma \] where \(F\) = applied force, \(m\) = mass of the object, \(a\) = acceleration.

Step 1: Write the given values. \[ F = 10\ \text{N}, \qquad m = 5\ \text{kg} \]

Step 2: Apply Newton’s second law. \[ a = \frac{F}{m} \] \[ a = \frac{10}{5} \]

Step 3: Calculate the acceleration. \[ a = 2\ \text{m/s}^2 \] Thus, the acceleration of the block is \[ \boxed{2\ \text{m/s}^2} \]