WAECFurther MathematicsMechanics

If F = ma, m=2 kg, a=3 m/s², F = ?

A5 N
B6 NCORRECT
C9 N
D12 N
AI
Toasta AI Explanation
Why the answer is B, and why the others tempt you.
## The reasoning This is **Newton's Second Law of Motion** — the foundation of dynamics. The formula F = ma tells us that force equals mass times acceleration. Given: - m = 2 kg - a = 3 m/s² Simply substitute: F = ma = 2 kg × 3 m/s² = **6 N** The unit "Newton (N)" comes from kg·m/s², so when you multiply mass in kg by acceleration in m/s², you automatically get force in Newtons. Straightforward multiplication — no tricks here! ## Why the wrong options tempt you **Option A (5 N):** You might add instead of multiply (2 + 3 = 5). Remember, F = ma means *multiply*, not add. **Option C (9 N):** This comes from squaring the acceleration (3² = 9) and forgetting about the mass. Don't overthink it! **Option D (12 N):** You might multiply then double something (2 × 3 × 2), confusing yourself with extra steps. ## Quick takeaway **F = ma is pure multiplication: plug in the numbers, multiply straight, and watch your units — kg × m/s² always gives Newtons.** This formula appears in every mechanics exam, so master it now!
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