Question

The acceleration due to gravity on the surface of the Moon is about 1/6 of that on the surface of Eatth. An astronaut weighs 600 N on Earth The astronaut's mass on the Moon is most nearly (A) 600 kg (B) 360 kg (C) 100 kg (D) 60 kg (E) 10 kg

Answer 1

The astronaut's mass on the Moon is approximately 100 kg.

Step-by-step explanation:

On the surface of the earth, the weight of an object is calculated by multiplying its mass by the acceleration due to gravity, which is approximately 9.8 m/s². Therefore, if an astronaut weighs 600 N on Earth, their mass would be:

Weight = mass * acceleration due to gravity

600 N = mass * 9.8 m/s²

mass = 600 N / 9.8 m/s² = 61.22 kg

Since the acceleration due to gravity on the surface of the moon is approximately 1/6 of that on Earth, the astronaut's weight on the moon would be:

Weight on the Moon = mass * acceleration due to gravity on the Moon

Weight on the Moon = 61.22 kg * (9.8 m/s² / 6) = 100.67 N

Therefore, the astronaut's mass on the Moon is most nearly 100 kg (C).

Answer 2

The astronaut's mass on the Moon is approximately 360 kg.

Step-by-step explanation:

The weight of an object depends on the force of gravity acting on it. On the moon, the acceleration due to gravity is about 1/6 of that on Earth. Therefore, if an astronaut weighs 600 N on Earth, their weight on the moon would be approximately (600 N)/6 = 100 N.

Weight is directly proportional to mass, so we can say that the astronaut's mass on the moon would also be 1/6 of their mass on Earth. Since weight is given by the formula weight = mass*acceleration due to gravity, we can find their mass on the moon by dividing the weight on Earth by the acceleration due to gravity on the moon. So, the astronaut's mass on the moon would be (600 N)/(1/6 * 9.8 m/s²) = 360 kg.

Therefore, the astronaut's mass on the moon is most nearly 360 kg, which is option (B).