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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?

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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.

Newton’s second law of motion says that the mass of an object times its acceleration is equal to the force on the object. Which of the following gives the correct units for force? (a) kg.m/s² ; (b) kg.m²/s² ; (c) kg/(m.s²) ; (d) kg.m²/s ; (e) none of those answers.

Understand Newton's Second Law of Motion and learn how to calculate force based on mass and acceleration. This guide includes step-by-step unit conversion to determine the correct force units, using real-world examples and physics principles. Suitable for students in Grades 9-12.

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