Question

On Earth, a scale shows that you weigh 585 N. What would the scale read on the Moon (g = 1.60 m/s2)? N

Answer 1

Your weight on the Moon would be approximately 96.7 N, which is calculated using the formula that takes into account the ratios of the acceleration due to gravity on Earth and the Moon.

Step-by-step explanation:

If you weigh 585 N on Earth, we can calculate what your weight would be on the Moon using the ratio of the acceleration due to gravity on Earth to that. The acceleration due to gravity on Earth (earth) is approximately 9.80 m/s², and on the Moon (moon), it is about 1.62 m/s². To find your weight on the Moon, we can apply the formula:

Weight on the Moon = (Weight on Earth / gEarth) × goon

Plugging in the values we get:

Weight on the Moon = (585 N / 9.80 m/s²) × 1.62 m/s²

This gives us:

Weight on the Moon = (59.69 kg) × 1.62 m/s² ≈ 96.7 N

So, on the Moon, the scale would read approximately 96.7 N.

Answer 2

95.51 N

Step-by-step explanation:

First, find the mass in kg:

Fg = 585 N

Fg = m*g

585 N = m*9.8 m/s^2

m = 59.69 kg

Then, to find your weight (Fg) on the moon, you use the same equation of

Fg(moon) = m*g, except this time g = 1.60 m/s^2

Fg(moon) = 59.69 kg * 1.60 m/s^2

Fg(moon) = 95.51 N

Hope this helps!! :)