To calculate the weight of the pony on Neptune, we need to use the weight formula:
\[ \text{Weight} = \text{mass} \times \text{gravity} \]
First, we need to find the mass of the pony using its weight on Earth. The weight on Earth is given as 1960 N and the acceleration due to gravity on Earth is approximately 9.81 m/s² (you could also use 9.8 m/s² for a rough estimate).
\[ \text{mass} = \frac{\text{weight on Earth}}{\text{gravity on Earth}} = \frac{1960 , \text{N}}{9.81 , \text{m/s}^2} \approx 199.18 , \text{kg} \]
Now we can calculate the weight of the pony on Neptune using Neptune's gravity (11.28 m/s²):
\[ \text{weight on Neptune} = \text{mass} \times \text{gravity on Neptune} = 199.18 , \text{kg} \times 11.28 , \text{m/s}^2 \approx 2248.61 , \text{N} \]
Rounding this, we find that the pony weighs approximately 2256 N on Neptune.
So the correct answer is: a) 2256 N