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?
What is 4/10 of 100?
To find out how much the astronaut's boots will weigh on Mars, we need to use the concept of weight. Weight is the force exerted on an object due to the gravitational acceleration. The formula to calculate weight is:
Weight = Mass x Acceleration due to gravity
On Earth, we are given that the weight of the astronaut's boots is 100N. The acceleration due to gravity on Earth is 10m/s^2. We can rearrange the formula to solve for mass:
Mass = Weight / Acceleration due to gravity
Substituting the given values, we get:
Mass on Earth = 100N / 10m/s^2 = 10kg
Now, we can use the mass to find the weight on Mars. The acceleration due to gravity on Mars is given as 4m/s^2:
Weight on Mars = Mass x Acceleration due to gravity on Mars
Inserting the known values, we get:
Weight on Mars = 10kg x 4m/s^2 = 40N
Therefore, the astronaut's boots would weigh 40N on Mars.