who has a greater mass to weight ration, a person weighing 100N or a person weighing 150N?
To determine the greater mass-to-weight ratio, we need to calculate the mass of each person. The mass of an object can be calculated using the formula:
Mass (m) = Weight (W) / Acceleration due to gravity (g)
Acceleration due to gravity is approximately 9.8 m/s² on Earth.
For the person weighing 100N:
m1 = 100N / 9.8 m/s² = 10.2 kg
For the person weighing 150N:
m2 = 150N / 9.8 m/s² = 15.3 kg
Now we can compare the mass-to-weight ratios:
Mass-to-weight ratio for the person weighing 100N:
m1 / 100N = 10.2 kg / 100N = 0.102 kg/N
Mass-to-weight ratio for the person weighing 150N:
m2 / 150N = 15.3 kg / 150N = 0.102 kg/N
Both persons have the same mass-to-weight ratio of approximately 0.102 kg/N. Therefore, neither person has a greater mass-to-weight ratio.