And Astronaut wearing an environment suit has a total mass of 130 kg. What is his weight on earth?
What would his weight be on Mars where the acceleration of gravity is 3.26?
What is his mass on Mars? Why?
If he should end up adrift and deep space what what his mask be? Why?
weight on earth=mass*9.8N/kg
weight on Mars=mass*3.26 N/kg
mass stays the same: it is a measure of the total matter, does not depend on gravity.
notice acceleration=force/mass, so
9.8m/s^2=9.8Newtons/kg
An object acted on by a force of 2.8 N accelerates, 3.6 m/s2. What is the mass of the object?
To answer these questions, we need to understand the concepts of mass, weight, and the acceleration due to gravity.
1. Weight on Earth:
The weight of an object is the force of gravity acting on it. On Earth, the acceleration due to gravity is approximately 9.8 m/s². To calculate the weight, we use the formula: weight = mass x acceleration due to gravity.
Given that the astronaut's total mass is 130 kg, his weight on Earth can be calculated as follows:
weight on Earth = mass x acceleration due to gravity
weight on Earth = 130 kg x 9.8 m/s²
weight on Earth ≈ 1274 N (Newtons)
2. Weight on Mars:
On Mars, the acceleration due to gravity is 3.26 m/s². To calculate the weight on Mars, we again use the formula: weight = mass x acceleration due to gravity.
Using the same mass of 130 kg, the weight on Mars can be calculated as follows:
weight on Mars = mass x acceleration due to gravity on Mars
weight on Mars = 130 kg x 3.26 m/s²
weight on Mars ≈ 423 N (Newtons)
3. Mass on Mars:
The mass of an object does not change when we move it from one location to another. Therefore, the astronaut's mass remains the same on Mars as it is on Earth. So his mass on Mars would still be 130 kg.
4. Mass in deep space:
In deep space, far away from any celestial body, there is no gravity acting on the astronaut. However, the mass of the astronaut remains the same, regardless of the presence or absence of gravity. So, even in deep space, his mass would still be 130 kg.
In summary:
- The weight of an object depends on its mass and the acceleration due to gravity of the location.
- On Earth, the astronaut's weight is approximately 1274 N and his mass is 130 kg.
- On Mars, the astronaut's weight is approximately 423 N, and his mass remains 130 kg.
- In deep space, where there is no gravity, his mass would still be 130 kg.