select the correct answer.\nthe weight of an object on earth is 350 newtons. on mars, the same object would…

select the correct answer.\nthe weight of an object on earth is 350 newtons. on mars, the same object would weigh 134 newtons. what is the acceleration due to gravity on the surface of mars, given that it is 9.8 meters/second² on earth?\na. 0.78 meters/second²\nb. 2.74 meters/second²\nc. 3.75 meters/second²\nd. 5.78 meters/second²\ne. 9.80 meters/second²

select the correct answer.\nthe weight of an object on earth is 350 newtons. on mars, the same object would weigh 134 newtons. what is the acceleration due to gravity on the surface of mars, given that it is 9.8 meters/second² on earth?\na. 0.78 meters/second²\nb. 2.74 meters/second²\nc. 3.75 meters/second²\nd. 5.78 meters/second²\ne. 9.80 meters/second²

Answer

Explanation:

Step1: Find the mass of the object on Earth

We know that weight $W = mg$ (where $W$ is weight, $m$ is mass, $g$ is acceleration due to gravity). On Earth, $W_{Earth}=350$ N and $g_{Earth}=9.8$ m/s². So, $m=\frac{W_{Earth}}{g_{Earth}}$. $m = \frac{350}{9.8}\text{ kg}$

Step2: Find the acceleration due to gravity on Mars

On Mars, $W_{Mars} = 134$ N and mass $m$ is the same as on Earth. Since $W = mg$, then $g_{Mars}=\frac{W_{Mars}}{m}$. Substitute $m=\frac{350}{9.8}$ into the formula for $g_{Mars}$. $g_{Mars}=\frac{134}{\frac{350}{9.8}}=\frac{134\times9.8}{350}\approx 3.75$ m/s²

Answer:

C. 3.75 meters/second²