There is a typo in this question. Ignore the

”cdot” in the units for G.
A satellite is in a circular orbit just above
the surface of the Moon.
What is the satellite’s acceleration?
The value of gravitational constant is
6.67259 × 10−11 Ncdotm2/kg2 and the mass
of the moon is 7.36 × 1022 kg and its radius is
1675.2 km.
Answer in units of m/s2

To find the satellite's acceleration, we need to use Newton's law of universal gravitation and the equation for centripetal acceleration. Here's how:

1. Newton's law of universal gravitation states that the gravitational force between two objects is given by F = G * (m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the centers of the two objects.

2. In this case, we're finding the satellite's acceleration, so the second object is the satellite and the first object is the Moon. The gravitational force acting on the satellite is the centripetal force, which is given by F = m * a, where m is the mass of the satellite and a is its acceleration.

3. Since the satellite is in a circular orbit, the centripetal force is equal to the gravitational force. Therefore, we can equate the two equations: m * a = G * (m1 * m2) / r^2.

4. Rearranging the equation to solve for acceleration, we get: a = (G * m1 * m2) / (r^2 * m).

Now let's substitute the given values:

- Gravitational constant, G = 6.67259 × 10^(-11) N * m^2 / kg^2.
- Mass of the Moon, m1 = 7.36 × 10^(22) kg.
- Radius of the Moon, r = 1675.2 km = 1675.2 x 10^3 m.
- Mass of the satellite, m = This value is not provided in the question, so we can assume it to be m = 1 kg for simplicity.

Plug in these values into the equation and calculate the acceleration:

a = (G * m1 * m2) / (r^2 * m)
= (6.67259 × 10^(-11) N * m^2 / kg^2 * 7.36 × 10^22 kg * 1 kg) / ((1675.2 × 10^3 m)^2 * 1 kg)
= (6.67259 × 7.36 × 10^(11+22) N * m^2 / kg^2) / (1675.2^2 × 10^(3+6) m^2)
= 4.911 m/s^2 (approx)

Therefore, the satellite's acceleration is approximately 4.911 m/s^2.