Question

1. the weight, in newtons, of an object in a particular location is equal to its mass, in kilograms, times the gravitational acceleration in that location. as a formula, this is written w = mg, where w=weight, m=mass and g=gravitational acceleration. a. neil armstrong has a mass of 80 kg on earth. on earths surface, the gravitational acceleration is 10 newtons per kilogram. what was neils weight on earth? b. rewrite the equation to isolate g. c. on the surface of the moon, neil armstrongs weight is 128 newtons. what is the gravitational acceleration on the moon?

Explanation:

Step1: Calculate Neil's weight on Earth

Given mass $m = 80$ kg and gravitational - acceleration on Earth $g = 10$ N/kg. Use the formula $w=mg$.
$w=80\times10 = 800$ N

Step2: Rearrange the formula $w = mg$ to isolate $g$

Divide both sides of the equation $w = mg$ by $m$.
$g=\frac{w}{m}$

Step3: Calculate the gravitational acceleration on the moon

Given weight on the moon $w = 128$ N and mass $m = 80$ kg. Substitute into the formula $g=\frac{w}{m}$.
$g=\frac{128}{80}=1.6$ N/kg

Answer:

a. Neil's weight on Earth is 800 N.
b. The formula to isolate $g$ is $g = \frac{w}{m}$.
c. The gravitational acceleration on the moon is 1.6 N/kg.