Question

A force of \( 10 \, \text{N} \) acts on a body of mass \( 2 \, \text{kg} \). What is the acceleration of the body?

• A. \( 5 \, \text{m/s}^2 \)
• B. \( 2 \, \text{m/s}^2 \)
• C. \( 4 \, \text{m/s}^2 \)
• D. \( 1 \, \text{m/s}^2 \)

Hint:

Remember: According to Newton's second law, acceleration is directly proportional to the force and inversely proportional to the mass: \( a = \frac{F}{m} \).

Answer 1

The Correct Option is A

Step 1: Use Newton's Second Law of Motion
Newton's second law of motion states that: \[ F = ma \]
where:
- \( F \) is the force,
- \( m \) is the mass,
- \( a \) is the acceleration.
Step 2: Rearrange the formula to solve for acceleration
We are given:
- Force \( F = 10 \, \text{N} \),
- Mass \( m = 2 \, \text{kg} \).
Rearrange the equation to solve for acceleration: \[ a = \frac{F}{m} = \frac{10}{2} = 5 \, \text{m/s}^2 \] Answer: Therefore, the acceleration of the body is \( 5 \, \text{m/s}^2 \). So, the correct answer is option (1).