Question

Use the data to answer the question. It shows the acceleration of a body when a net force is applied to it. Net Force(N)-5.0 Mass (kg)-5.0 Acceleration(m/s^2)-1.0, Net Force(N)-10.0 Mass(kg)-5.0 Acceleration(m/s^2)-2.0, Net force(N)-20.0 Mass(kg)-5
Which value would complete the last cell?
25.0
4.0
3.0
100.0

Answer 1

To complete the last cell, we can use Newton's second law of motion, which states that \( F = m \cdot a \), where \( F \) is the net force, \( m \) is the mass, and \( a \) is the acceleration.

Let's analyze the data provided:

1. Net Force (N) = 5.0, Mass (kg) = 5.0, Acceleration (m/s²) = 1.0
\[
F = m \cdot a \implies 5.0 = 5.0 \cdot 1.0
\]

2. Net Force (N) = 10.0, Mass (kg) = 5.0, Acceleration (m/s²) = 2.0
\[
F = m \cdot a \implies 10.0 = 5.0 \cdot 2.0
\]

3. Net Force (N) = 20.0, Mass (kg) = 5.0, Acceleration (m/s²) = ?
\[
F = m \cdot a \implies 20.0 = 5.0 \cdot a \implies a = \frac{20.0}{5.0} = 4.0 \, \text{m/s}²
\]

Therefore, the acceleration when the net force is 20.0 N and the mass is 5.0 kg is 4.0 m/s².

So, the value that would complete the last cell is **4.0**.