A block of mass \( 5 \, \text{kg} \) is placed on a frictionless surface. If a force of \( 10 \, \text{N} \) is applied to the block, what will be the acceleration of the block?
Show Hint
Use Newton's second law: \( F = ma \) to find acceleration. The force applied is directly proportional to the acceleration for a given mass.
Step 1: Use Newton's second law of motion
\[
F = ma
\]
Where:
- \( F \) is the applied force
- \( m \) is the mass of the block
- \( a \) is the acceleration
Given:
- \( F = 10 \, \text{N} \)
- \( m = 5 \, \text{kg} \)
Rearranging the formula to solve for acceleration \( a \):
\[
a = \frac{F}{m} = \frac{10}{5} = 2 \, \text{m/s}^2
\]
Answer: Therefore, the acceleration of the block is \( 2 \, \text{m/s}^2 \). So, the correct answer is option (1).