An astronauts boots weigh 100N on earth where the acceleration of free fall is 10m/s2. How much will they weigh on Mars where the acceleration of free fall is 4m/s2?
I am wondering if your teacher teaches in whole numbers. Nowhere on Earth is g=10m/s^2, nor on Mars a=4 m/s^2. Life is more complicated than whole numbers. Is PI=3?
100=mass*g
mass=10kg
weight= mass*a=10*4=40N
To find the weight of the astronaut's boots on Mars, we can use the formula:
Weight = Mass x Acceleration
However, we need to find the mass of the boots first. On Earth, where the acceleration due to gravity is 10 m/s^2, the weight of the boots is given as 100N. We can divide this value by the acceleration due to gravity to find the mass:
Mass = Weight / Acceleration
Mass (on Earth) = 100N / 10m/s^2 = 10kg
Now that we have the mass of the boots, we can find the weight on Mars. The acceleration due to gravity on Mars is given as 4 m/s^2 (which is different from Earth's):
Weight (on Mars) = Mass x Acceleration (on Mars)
Weight (on Mars) = 10kg x 4m/s^2 = 40N
Therefore, the boots will weigh 40N on Mars where the acceleration of free fall is 4m/s^2.