Question

One. Boy has 10 kg ; Another boy has 20 kg(10 kg / 10 kg) Which object will accelerate more if the student exerts an equal around of force on each object? 10 kg box; two 10 kg boxes

Answer 1

To determine which object will accelerate more when an equal amount of force is exerted on each, we can use Newton's second law of motion, which states that \( F = ma \) (force equals mass times acceleration).

Let's consider your two scenarios:

1. **10 kg Box:**
If a force \( F \) is applied to a 10 kg box, the acceleration \( a_1 \) can be calculated as:
\[
a_1 = \frac{F}{m_1} = \frac{F}{10 \, \text{kg}}
\]

2. **Two 10 kg Boxes (totaling 20 kg):**
If the same force \( F \) is applied to the combined mass of two boxes (20 kg), the acceleration \( a_2 \) would be:
\[
a_2 = \frac{F}{m_2} = \frac{F}{20 \, \text{kg}}
\]

Now, we can compare the two accelerations:
- The 10 kg box has an acceleration of \( \frac{F}{10} \).
- The two 10 kg boxes, which total 20 kg, have an acceleration of \( \frac{F}{20} \).

Since \( \frac{F}{10} \) is greater than \( \frac{F}{20} \), the 10 kg box will accelerate more than the two 10 kg boxes when the same force is applied.

In conclusion, the **10 kg box** will accelerate more than the **two 10 kg boxes** when equal force is applied.