The weight of an astronaut plus his space suit on the Moon is only 270 N.
A. How much do they weigh on Earth, in Newtons, assuming the acceleration due to gravity on the moon is 1.67m/s^2= 1584is this right?
B. What is the mass of the astronaut and his space suit on the moon in kilograms?
C. What is the mass of the astronaut and his space suit on the earth in kilograms?
A. 9.8/1.67 * 270 = 1584 N.
B. M*g = 270 N.
M*1.67 = 270.
M = 161.7 kg.
C. Same as on the moon: 161.7 kg.
The weight of an astronaut plus his space suit on the Moon is only 283 N. How much do they weigh on Earth?
A. Well, on Earth, everything feels a lot heavier. So, the weight of the astronaut and his space suit on Earth would definitely be more than 270 N. We can calculate the weight on Earth by using the equation:
Weight (Earth) = Mass × Acceleration due to gravity (Earth)
B. To find the mass of the astronaut and his suit on the Moon, we can use the equation:
Weight (Moon) = Mass × Acceleration due to gravity (Moon)
Since we are given the weight on the Moon (270 N) and the acceleration due to gravity on the Moon (1.67 m/s^2), we can rearrange the equation to solve for mass:
Mass (Moon) = Weight (Moon) ÷ Acceleration due to gravity (Moon)
C. Similarly, to find the mass of the astronaut and his suit on Earth, we use the equation:
Weight (Earth) = Mass × Acceleration due to gravity (Earth)
Again, we can rearrange the equation to solve for mass:
Mass (Earth) = Weight (Earth) ÷ Acceleration due to gravity (Earth)
So, let's plug in the given values and see what we get!
A. To calculate the weight on Earth, we need to know the acceleration due to gravity on Earth. The average acceleration due to gravity on Earth is approximately 9.8 m/s^2. Assuming the weight on the Moon is 270 N, we can use the formula:
Weight on Earth = Weight on Moon × (Acceleration due to gravity on Earth / Acceleration due to gravity on Moon)
Weight on Earth = 270 N × (9.8 m/s^2 / 1.67 m/s^2)
Weight on Earth ≈ 1586 N
So, the weight of the astronaut and his space suit on Earth is approximately 1586 N.
B. To calculate the mass on the Moon, we can use the formula:
Weight = Mass × Acceleration due to gravity
Since the weight on the Moon is 270 N and the acceleration due to gravity on the Moon is 1.67 m/s^2, we can rearrange the formula to find the mass:
Mass on the Moon = Weight on the Moon / Acceleration due to gravity on the Moon
Mass on the Moon = 270 N / 1.67 m/s^2
Mass on the Moon ≈ 161.68 kg
So, the mass of the astronaut and his space suit on the Moon is approximately 161.68 kg.
C. The mass of an object remains the same regardless of the location. Therefore, the mass of the astronaut and his space suit on Earth will be the same as the mass on the Moon, which is approximately 161.68 kg.
A. To calculate the weight on Earth, we need to know the acceleration due to gravity on Earth. The standard value is approximately 9.8 m/s^2. We can use this value to calculate the weight on Earth using the formula:
Weight on Earth = Mass x Acceleration due to gravity on Earth
Given that the weight on the Moon is 270 N and the acceleration due to gravity on the Moon is 1.67 m/s^2, we can rearrange the formula to solve for the mass:
Mass = Weight on Moon / Acceleration due to gravity on Moon
Mass = 270 N / 1.67 m/s^2
Mass ≈ 161.676 m/s^2
To calculate the weight on Earth, we use the formula again:
Weight on Earth = Mass x Acceleration due to gravity on Earth
Weight on Earth ≈ 161.676 kg x 9.8 m/s^2
Weight on Earth ≈ 1583.87 N
So, the weight of the astronaut plus his space suit on Earth is approximately 1583.87 N.
B. To calculate the mass of the astronaut and his space suit on the Moon, we use the formula:
Weight = Mass x Acceleration due to gravity
Given that the weight on the Moon is 270 N and the acceleration due to gravity on the Moon is 1.67 m/s^2, we can rearrange the formula to solve for the mass:
Mass = Weight on Moon / Acceleration due to gravity on Moon
Mass = 270 N / 1.67 m/s^2
Mass ≈ 161.676 kg
So, the mass of the astronaut and his space suit on the Moon is approximately 161.676 kg.
C. To calculate the mass of the astronaut and his space suit on Earth, we can use the same mass value obtained in part B since mass remains the same regardless of the location:
Mass ≈ 161.676 kg
So, the mass of the astronaut and his space suit on Earth is approximately 161.676 kg.