Question

70 n of force is applied to a 10 kg block, accelerating it at 7 m/s\\(^2\\). if the acceleration decreases to 4 m/s\\(^2\\), what happens to the force?

remember: f = m \cdot a

remains constant

increases

decreases

Explanation:

Calculate the initial force

$$ F_{\text{initial}} = m \cdot a_{\text{initial}} = 10\text{ kg} \cdot 7\text{ m/s}^2 = 70\text{ N} $$

Calculate the new force

$$ F_{\text{new}} = m \cdot a_{\text{new}} = 10\text{ kg} \cdot 4\text{ m/s}^2 = 40\text{ N} $$

Compare the forces

$$ F_{\text{new}} < F_{\text{initial}} \implies 40\text{ N} < 70\text{ N} $$

Answer:

• remains constant
• increases
• decreases (Correct answer)