A person weighs 150 N on the moon. If the acceleration due to gravity on the moon is 1.63 m/s2, what is the mass of the person?
M*g = 150 N.
g = 1.63 m/s^2
Solve for M(kg).
1.63m/s2
Homework
15.6
To find the mass of the person, we can use Newton's second law of motion, which states that force (F) is equal to the product of mass (m) and acceleration (a). Mathematically, it can be represented as:
F = m * a
In this scenario, the force acting on the person is the weight on the moon, which is given as 150 N, and the acceleration due to gravity on the moon is 1.63 m/s².
Let's plug these values into the formula:
150 N = m * 1.63 m/s²
To isolate the mass (m), we can rearrange the equation:
m = 150 N / 1.63 m/s²
Now, let's calculate the mass:
m = 92.02 kg
Therefore, the mass of the person is approximately 92.02 kg.