If you weighed 112 N on the Moon where g=1.6N/kg, how much would you weigh on Earth?
weightmoon=112*1.6/9.8
18.28
To determine your weight on Earth, we need to use the formula W = mg, where W represents weight, m represents mass, and g represents the acceleration due to gravity.
Given that your weight on the moon is 112 N and the acceleration due to gravity on the moon, g, is 1.6 N/kg, we can calculate your mass on the moon using the formula W = mg.
112 N = m × 1.6 N/kg
Dividing both sides of the equation by 1.6 N/kg, we get:
m = 112 N / 1.6 N/kg
m ≈ 70 kg
Now that you know your mass on the moon is approximately 70 kg, we can calculate your weight on Earth using the same formula.
On Earth, the acceleration due to gravity is approximately 9.8 N/kg. So, your weight on Earth is:
W = m × g
= 70 kg × 9.8 N/kg
≈ 686 N
Therefore, you would weigh approximately 686 N on Earth.
To determine how much you would weigh on Earth, we need to calculate the force due to gravity using the value of acceleration due to gravity on Earth, which is approximately 9.8 m/s².
Weight is calculated using the equation: Weight = Mass × Acceleration due to gravity.
Let's calculate your weight on Earth:
1. First, we need to find your mass on the Moon. We can use the formula: Weight = Mass × Acceleration due to gravity. Since your weight on the Moon is given as 112 N and the acceleration due to gravity on the Moon is 1.6 N/kg, we can rearrange the formula to solve for mass: Mass = Weight / Acceleration due to gravity.
Mass = 112 N / 1.6 N/kg = 70 kg (rounded to the nearest whole number).
2. Now that we have your mass on the Moon, we can calculate your weight on Earth using the same formula: Weight = Mass × Acceleration due to gravity.
Weight on Earth = 70 kg × 9.8 m/s² = 686 N.
Therefore, your weight on Earth would be 686 N.