The acceleration due to gravity on the moon is 1.6 N/Kg. An astronaut weighs 670N on the earth's surface
A. Find the mass of the astronaut
B. His weight on the moon's surface.
A. To find the mass of the astronaut, we can use the formula for weight:
Weight = mass * acceleration due to gravity
Let's rearrange the formula to solve for mass:
mass = Weight / acceleration due to gravity
Given:
Weight on Earth's surface = 670 N
Acceleration due to gravity on the Moon = 1.6 N/Kg
Substituting the values into the formula:
mass = 670 N / 1.6 N/Kg
mass ≈ 418.75 Kg
Therefore, the mass of the astronaut is approximately 418.75 Kg.
B. To find the weight of the astronaut on the Moon's surface, we can use the same formula:
Weight = mass * acceleration due to gravity
Given:
Mass = 418.75 Kg
Acceleration due to gravity on the Moon = 1.6 N/Kg
Substituting the values into the formula:
Weight = 418.75 Kg * 1.6 N/Kg
Weight ≈ 670 N
Therefore, the weight of the astronaut on the Moon's surface is approximately 670 N.
A. To find the mass of the astronaut, we can use the formula for weight:
Weight = mass * acceleration due to gravity
On Earth's surface, the acceleration due to gravity is approximately 9.8 N/kg. The astronaut's weight on Earth's surface is given as 670 N. By using the formula, we can rearrange it to solve for mass:
mass = weight / acceleration due to gravity
Substituting the values given:
mass = 670 N / 9.8 N/kg
mass = 68.37 kg
Therefore, the mass of the astronaut is approximately 68.37 kg.
B. To find the astronaut's weight on the moon's surface, we'll use the same formula for weight:
Weight = mass * acceleration due to gravity
The acceleration due to gravity on the moon is given as 1.6 N/kg, and we have already determined the astronaut's mass to be 68.37 kg. Substituting the values, we get:
Weight = 68.37 kg * 1.6 N/kg
Weight = 109.4 N
Therefore, the astronaut's weight on the moon's surface is approximately 109.4 N.
Guide me through the calculations please
mass = weight in Newtons / g = 670 / 9.81 = 68.3 kilograms
weight =m gmoon = 68.3 * 1.6 = ? Newtons :)