Question

The 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?
a. 0.78 meters/second2
b. 2.74 meters/second2
c. 3.75 meters/second2
d. 5.78 meters/second2
e. 9.80 meters/second2

Answer 1

Answer:

Acceleration of the object on mars, $a=3.75\ m/s^2$

Explanation:

It is given that,

The weight of an object on Earth is, W = 350 newtons.

The acceleration due to gravity on the Earth, $g=9.8\ m/s^2$

Let m is the mass of the object. Weight of an object is equal to the product of mass and acceleration due to gravity.

$m=\dfrac{W}{g}$

$m=\dfrac{350\ N}{9.8\ m/s^2}$

m = 35.71 Kg

The weight of the object on mars, W' = 134 N

Mass of an object is the amount of matter contained it. It remains the same at every location. So,

$a=\dfrac{W'}{m}$

$a=\dfrac{134\ N}{35.71\ kg}$

$a=3.75\ m/s^2$

So, the acceleration of the object on the surface of mars is $3.75\ m/s^2$. Hence, this is the required solution.

Answer 2

W = mg = 350 newton
m = W/g = 350/9.8 = 35.71 kg
on mars
W = mg = 134 newton
g = W/m = 134/35.71 = 3.75 meters/second2