To calculate the weight of the pony on Neptune, we can use the 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:
\[ \text{Weight on Earth} = 1960 , \text{N} \]
The acceleration due to gravity on Earth is approximately \(9.8 , \text{m/s}^2\). We can find the mass of the pony using the formula:
\[ \text{mass} = \frac{\text{Weight}}{\text{gravity}} \]
Substituting the values for Earth:
\[ \text{mass} = \frac{1960 , \text{N}}{9.8 , \text{m/s}^2} \approx 200 , \text{kg} \]
Now, we can find the weight of the pony on Neptune using the gravity on Neptune, which is \(11.28 , \text{m/s}^2\).
\[ \text{Weight on Neptune} = \text{mass} \times \text{gravity on Neptune} \] \[ \text{Weight on Neptune} = 200 , \text{kg} \times 11.28 , \text{m/s}^2 \approx 2256 , \text{N} \]
Thus, the pony will weigh approximately 2256 N on Neptune.
The correct answer from the provided options is: d) 2256 N.
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