To find the weight of the pony on Neptune, we can use the formula for weight, which is given by:
\[ \text{Weight} = \text{mass} \times \text{gravity} \]
First, we need to determine the mass of the pony using its weight on Earth. The weight of the pony on Earth is given as 1960 N, and the acceleration due to gravity on Earth is approximately 9.81 m/s². We can find the mass using the formula:
\[ \text{mass} = \frac{\text{Weight}}{\text{gravity}} \]
So,
\[ \text{mass} = \frac{1960 , \text{N}}{9.81 , \text{m/s}^2} \approx 199.2 , \text{kg} \]
Now we can calculate the weight of the pony on Neptune using Neptune's gravity of 11.28 m/s²:
\[ \text{Weight}{\text{Neptune}} = \text{mass} \times \text{gravity}{\text{Neptune}} \]
\[ \text{Weight}_{\text{Neptune}} = 199.2 , \text{kg} \times 11.28 , \text{m/s}^2 \approx 2248.7 , \text{N} \]
Rounding this value gives approximately 2256 N.
Thus, the pony will weigh approximately 2256 N on Neptune.
The correct answer is: a) 2256 N.