To find the weight of the pony on Neptune, we can use the formula for weight, which is:
\[ \text{Weight} = \text{mass} \times \text{gravity} \]
First, we need to calculate 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 calculate the mass as follows:
\[ \text{mass} = \frac{\text{Weight on Earth}}{g_{\text{Earth}}} = \frac{1960 , \text{N}}{9.81 , \text{m/s}^2} \]
Calculating that gives:
\[ \text{mass} \approx 199.18 , \text{kg} \]
Now, we can find the weight of the pony on Neptune using the gravity on Neptune (11.28 m/s²):
\[ \text{Weight on Neptune} = \text{mass} \times g_{\text{Neptune}} \]
\[ \text{Weight on Neptune} = 199.18 , \text{kg} \times 11.28 , \text{m/s}^2 \]
Calculating that gives:
\[ \text{Weight on Neptune} \approx 2249.57 , \text{N} \]
Rounding to the nearest whole number, this would be approximately 2250 N.
So the correct answer is:
d) 2256 N (since it's the closest option given).
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