Question

What is the mass of a man on the earth if his mass on the moon is 84 kg? A) 8.4 kg LB) 14 kg C) 84 kg D) 504 kg

Answer 1

C) 84 kg

масса есть величина постоянная

Answer 2

To find the mass of a man on Earth, given his mass on the moon is 84 kg, we need to consider the gravitational force acting on the man in both locations.

The weight of an object is determined by the force of gravity acting on it. The force of gravity is given by the equation:

F = m * g

Where: - F is the force of gravity - m is the mass of the object - g is the acceleration due to gravity

On Earth, the acceleration due to gravity is approximately 9.8 m/s^2. So, the weight of the man on Earth is:

F_earth = m_earth * g_earth

On the moon, the acceleration due to gravity is approximately 1.6 m/s^2. So, the weight of the man on the moon is:

F_moon = m_moon * g_moon

Given that the mass of the man on the moon is 84 kg, we can calculate his weight on the moon:

F_moon = 84 kg * 1.6 m/s^2 = 134.4 N

To find the mass of the man on Earth, we can rearrange the equation for weight to solve for mass:

F_earth = m_earth * g_earth

m_earth = F_earth / g_earth

Substituting the known values:

m_earth = 134.4 N / 9.8 m/s^2 ≈ 13.76 kg

Therefore, the mass of the man on Earth is approximately 13.76 kg.

So, the correct answer is B) 14 kg.