Question

which object will have the greatest acceleration if acted upon by a net force of 100 n?

50-kg object

100-kg object

25-kg object

5-kg object

Explanation:

Step1: Recall Newton's 2nd Law

$F = ma$, rearranged to $a = \frac{F}{m}$

Step2: Define given values

$F = 100\ \text{N}$, calculate $a$ for each mass:

• For 50-kg: $a = \frac{100}{50} = 2\ \text{m/s}^2$
• For 100-kg: $a = \frac{100}{100} = 1\ \text{m/s}^2$
• For 25-kg: $a = \frac{100}{25} = 4\ \text{m/s}^2$
• For 5-kg: $a = \frac{100}{5} = 20\ \text{m/s}^2$

Step3: Compare acceleration values

Identify the largest calculated acceleration.

Answer:

5-kg object