find the acceleration due to gravity on mars if a person with a mass of 60.0 kg weighs 222 n on mars.

162 m/s2
13,320 m/s2
3.7 m/s2
2828 m/s2

1 answer

To find the acceleration due to gravity on Mars, we can use the formula for weight, which is given by:

\[ W = m \cdot g \]

where:

  • \( W \) is the weight (in newtons),
  • \( m \) is the mass (in kilograms),
  • \( g \) is the acceleration due to gravity (in m/s²).

In this case, we are given:

  • \( W = 222 , \text{N} \)
  • \( m = 60.0 , \text{kg} \)

Rearranging the formula to solve for \( g \):

\[ g = \frac{W}{m} \]

Now substituting in the values:

\[ g = \frac{222 , \text{N}}{60.0 , \text{kg}} \approx 3.7 , \text{m/s}^2 \]

Thus, the acceleration due to gravity on Mars is approximately \( 3.7 , \text{m/s}^2 \).

So, the correct answer is 3.7 m/s².