Question

A block of mass \(2\, \text{kg}\) is placed on a smooth horizontal surface. A force of \(10\, \text{N}\) is applied horizontally on the block. What is the acceleration of the block?

• A. \(2.5 \, \text{m/s}^2\)
• B. \(5 \, \text{m/s}^2\)
• C. \(10 \, \text{m/s}^2\)
• D. \(20 \, \text{m/s}^2\)

Hint:

When the surface is smooth (frictionless), you can directly apply \( F = ma \) without accounting for frictional forces.

Answer 1

The Correct Option is B

We are given: - Mass of the block \(m = 2\, \text{kg}\) - Force applied \(F = 10\, \text{N}\) - The surface is smooth, i.e., there is no friction. Step 1: Use Newton’s Second Law of Motion According to Newton’s Second Law, \[ F = m \cdot a \] Solving for acceleration \(a\): \[ a = \frac{F}{m} \] \[ a = \frac{10}{2} = 5 \, \text{m/s}^2 \] Step 2: Final Answer Thus, the acceleration of the block is \(5 \, \text{m/s}^2\). Answer: The correct answer is option (2) \(5 \, \text{m/s}^2\).