Final answer:
The mass of an 87 kg man remains the same on the moon, but his weight would be approximately 145.29 N.
Step-by-step explanation:
To determine the mass and weight of an 87 kg man on the moon, we can use the formula w = mg, where w is the weight, m is the mass, and g is the acceleration due to gravity. On the moon, the gravitational field is 1/6 that of Earth, so the acceleration due to gravity is 1.67 m/s².
Using the formula, we can calculate the weight on the moon:
w = mg = (87 kg)(1.67 m/s²) ≈ 145.29 N
Therefore, the mass of an 87 kg man on the moon would still be 87 kg, but his weight would be approximately 145.29 N.