You weigh 585N on Earth, what is your mass? What do you weigh on the moon id g is 1.60m/s2
To find your mass, we can use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration. In this case, the force acting on you on Earth is your weight, which is given as 585N.
Newton's second law can be written as:
F = m * a
Where:
F is the force (weight)
m is the mass
a is the acceleration (in this case, the acceleration due to gravity)
Rearranging the equation to solve for mass:
m = F / a
Now we can plug in the given values:
F = 585N
a = 9.8 m/s^2 (acceleration due to gravity on Earth)
m = 585N / 9.8 m/s^2
m ≈ 59.69 kg
Therefore, your mass is approximately 59.69 kg on Earth.
To calculate your weight on the moon, we can use the equation:
Weight = mass * gravity
Given:
g = 1.60 m/s^2 (acceleration due to gravity on the moon)
mass = 59.69 kg
Weight = 59.69 kg * 1.60 m/s^2
Weight ≈ 95.51 N
Therefore, your weight on the moon would be approximately 95.51N.