The question in the image asks for the correct units of force based on Newton's Second Law of Motion, which states:

$\text{Force (F)} = \text{mass (m)} \times \text{acceleration (a)}$

The units for mass are kilograms (kg), and the units for acceleration are meters per second squared (m/s²).

Thus, the units for force are:

$\text{Force units} = \text{kg} \times \frac{m}{s^2} = \frac{\text{kg} \cdot \text{m}}{s^2}$

This unit is called a Newton (N), where:

1 Newton (N) = 1 kg·m/s²

Now, looking at the options provided:

• (a) kg·m/s² (Correct! This matches the derived unit for force)
• (b) kg·m²/s² (Incorrect; this unit would be for energy or work, like Joules)
• (c) kg/(m·s²) (Incorrect; this represents the inverse of the proper force unit)
• (d) kg·m²/s (Incorrect; this would be a unit of momentum, not force)
• (e) none of those answers (Incorrect; since (a) is the correct answer)

Thus, the correct answer is (a) kg·m/s².

Would you like further details or explanations?

Here are 5 related questions:

1. What are the SI units of work or energy?
2. How can we define acceleration in terms of its basic SI units?
3. What is the physical meaning of a Newton (N) in everyday terms?
4. How do we calculate the force needed to move a 5 kg object at an acceleration of 3 m/s²?
5. What is the relationship between force, mass, and acceleration when the mass is doubled?

Tip: Always check the dimensional analysis (unit consistency) when solving physics problems to avoid errors.