an astronaut has a mass of 60 kilograms on earth. what would her mass be on mars? what would her weight be on mars? the strength of gravity o mars is 3.7 m/s^2....
am having a slow moment, please help
Mass doesn't change. The astronaut's mass would remain 60kg on Mars.
Weight can be expressed as the force of an object due to gravity. Newton's second law described force being equal to mass x acceleration. Changing these terms to show weight (W) as force (measured in Newtons N), and acceleration as gravity (g), we can use the equation weight = mass x gravity, W=ma = (60kg)(3.7m/s^2)= 222 N
No worries, I'm here to help! To find out the astronaut's mass on Mars, we can use the fact that mass is a property of matter and does not change depending on the location. So the astronaut's mass would still be 60 kilograms on Mars.
However, her weight would be different because weight depends on the force of gravity. To find her weight on Mars, we can use the formula:
Weight = Mass × Acceleration due to Gravity
On Earth, the acceleration due to gravity is approximately 9.8 m/s^2. However, on Mars, it is 3.7 m/s^2. Plugging in the values, we get:
Weight on Mars = 60 kilograms × 3.7 m/s^2
Calculating this, we find that the astronaut's weight on Mars would be 222 newtons.
So to summarize, the astronaut's mass would remain the same at 60 kilograms on Mars, but her weight would be 222 newtons due to the difference in gravity between Mars and Earth.