An astronaut has a mass of 59 kilograms. What will her gravitational force be on the Moon? The gravitational attraction on the Moon is 1.62 ms2

.(1 point)
Responses

578.2 N
578.2 N

36.42 N
36.42 N

60.62 N
60.62 N

95.58 N

1 answer

To calculate the gravitational force acting on the astronaut on the Moon, you can use the formula:

\[ F = m \cdot g \]

where:

  • \( F \) is the force (in Newtons),
  • \( m \) is the mass (in kilograms),
  • \( g \) is the acceleration due to gravity (in m/s²).

In this case:

  • Mass, \( m = 59 , \text{kg} \)
  • Gravity on the Moon, \( g = 1.62 , \text{m/s}^2 \)

Now, substituting the values into the formula:

\[ F = 59 , \text{kg} \cdot 1.62 , \text{m/s}^2 \] \[ F = 95.58 , \text{N} \]

So, the gravitational force on the astronaut on the Moon is 95.58 N.

The correct response is: 95.58 N.