Final answer:
The boy's mass on Earth can be calculated using the formula w = mg, where w is weight and g is the acceleration due to gravity on Earth (9.80 m/s²). The correct mass corresponding to a weight of 270 N on Earth is 27.5 kg.
Step-by-step explanation:
To find the mass of a boy who weighs 270 N on Earth, we can use the formula for weight (w), which is the product of mass (m) and the acceleration due to gravity (g).
w = mg
Knowing that g on Earth is approximately 9.80 m/s², and that weight (w) is given as 270 N, we can rearrange the formula to solve for mass (m):
m = w / g
m = 270 N / 9.80 m/s²
m = 27.55 kg
Therefore, the closest answer to the boy's mass is 27.5 kg, making option B) the correct choice.