Question

Use the data table to answer the question. It shows the acceleration of a body when a net force is applied to it.

Net force (N) Mass (kg) Acceleration (m/s2)
5.0 5.0 1.0
10.0 5.0 2.0
20.0 5.0
Which value would complete the last cell?

(1 point)
Responses

100.0
100.0

3.0
3.0

4.0
4.0

25.0

1 answer

To find the acceleration when the net force is 20.0 N and mass is 5.0 kg, we can use Newton's second law of motion, which states:

\[ F = m \cdot a \]

Where:

  • \( F \) is the net force (in Newtons),
  • \( m \) is the mass (in kilograms), and
  • \( a \) is the acceleration (in m/s²).

Given:

  • Net force \( F = 20.0 \) N
  • Mass \( m = 5.0 \) kg

We can rearrange the formula to solve for acceleration \( a \):

\[ a = \frac{F}{m} \]

Now, substituting the values:

\[ a = \frac{20.0 , \text{N}}{5.0 , \text{kg}} = 4.0 , \text{m/s}^2 \]

Thus, the value that would complete the last cell is 4.0.