Objects on the moon's surface have an acceleration due to gravity one-sixth that on the earth's. What would the 40 kg boy weigh on the moon? (Round answer to nearest tenth.)
To find the weight of the boy on the moon, we need to use the formula for weight:
Weight = mass × acceleration due to gravity
On the moon, the acceleration due to gravity is one-sixth that on Earth, which means it is 1/6 × 9.8 m/s². So, the acceleration due to gravity on the moon is approximately 1.63 m/s².
The mass of the boy is given as 40 kg.
Using the formula for weight:
Weight = 40 kg × 1.63 m/s²
Calculating this:
Weight = 65.2 kg·m/s²
Now, we need to convert the unit of weight from kilogram-meter/second² (kg·m/s²), also known as a Newton (N), to kilograms (kg) to determine the weight of the boy on the moon.
1 N is equal to 1 kg, so:
Weight = 65.2 kg
Rounded to the nearest tenth, the weight of the 40 kg boy on the moon would be 65.2 kg.
Weight M g/6, where
M = mass
g = acceleration of gravity ON EARTH
The answer will be in Newtons.
A Newton is about 0.22 pounds