Final answer:
The acceleration due to gravity on the planet where the 25 kg box weighs 250 N is 10 m/s², which is option (B).
Step-by-step explanation:
The question is asking to find the acceleration due to gravity on a planet where a box with a mass of 25 kg has a weight of 250 N. To find the acceleration due to gravity, we use the formula weight (W) = mass (m) × acceleration due to gravity (g). By rearranging the formula to solve for g, we get g = W/m. Plugging in the values gives us g = 250 N / 25 kg, which results in g = 10 m/s². Therefore, the acceleration due to gravity on this planet is 10 m/s/s, which corresponds to option (B).