What is the mass of a person who weight 30 lbf on the moon. Note the gravity of

Question

What is the mass of a person who weight 30 lbf on the moon. Note the gravity of the moon is 1/6th of earths.

so we know the weight equals to mass times gravity and I found the gravity to be:

1.63 m/s^2 ; so I used the formula as the following m = W/g and got 18.4 but the units in this case will be lbf*m/s^2 ; So I continue to convert but not sure what is the right answer.

I know that the mass will be the same on any planet but the weight will differ. I tried to compare both answers , but no luck; Please include the units when you solve so I could understand it. Thanks in advance.

Explanation / Answer

On Earth, 1 lb_m = 1lb_f, so we can say that the gravitational acceleration is g = 1. On the moon, the gravitational acceleration would be g = 1/6, so mg = W --> m = W/g = (30 lb_f)/(1/6) = 180 lb_m You would expect something on the moon to weight 6 times less than on Earth, because the gravitational acceleration on the Earth is 6 times greater, so if the object weighed 30 lb_f on the moon, we would expect it to weight 180 lb_f on Earth, and by definition of lb_m, this object would have 180 lb_m, confirming our answer.

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