To find the gravitational force of attraction between the planet and the 17-kilogram mass, we can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass of the object (17 kg in this case),
- \( a \) is the acceleration due to gravity (8.8 m/s² in this case).
Now, we can plug in the values:
\[ F = 17 , \text{kg} \times 8.8 , \text{m/s}^2 \]
Calculating this gives:
\[ F = 149.6 , \text{N} \]
Rounding this to two significant figures gives approximately \( 150 , \text{N} \).
Therefore, the correct answer is:
c) 150 N.