To find the mass of the rock, we can use Newton's second law of motion, which states that the net force (F) acting on an object is equal to the mass (m) of the object multiplied by its acceleration (a). This can be expressed with the formula:
\[ F = m \cdot a \]
Given:
- \( F = 35 , \text{N} \)
- \( a = 5 , \text{m/s}^2 \)
We can rearrange the formula to solve for mass (m):
\[ m = \frac{F}{a} \]
Now, substituting the values:
\[ m = \frac{35 , \text{N}}{5 , \text{m/s}^2} = 7 , \text{kg} \]
Therefore, the mass of the rock is \( 7 , \text{kg} \).
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