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The mass of the moon is 7.34×10²² kg and the radius is 1.74×10⁶ m . value of gravitational acceleration will be a. 1.45 N/kg b. 1.55 N/kg c. 1.75 N/kg d. 1.62 N/kg

Answer :

Final answer:

The value of gravitational acceleration on the surface of the moon can be calculated using Newton's law of gravitation. Plugging in the given values of the moon's mass and radius, we find that the value is approximately 1.62 N/kg.

Explanation:

To calculate the value of gravitational acceleration on the surface of the moon, we can use Newton's law of gravitation which states that the gravitational force between two objects is given by F = G * (m1 * m2) / r^2, where G is the universal gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers. In this case, m1 is the mass of the moon and r is the radius of the moon. Plugging in the given values, we get:

  1. m1 = 7.34×10²² kg
  2. r = 1.74×10⁶ m
  3. G = 6.67430 × 10^-11 N(m/kg)^2

Using these values, we can calculate the value of gravitational acceleration (a) using the formula a = F / m1. Plugging in the value of F and m1, we get:

a = (G * m1 * m2) / (r^2 * m1)

= (G * m2) / r^2

Calculating this gives us a value of approximately 1.62 N/kg. Therefore, the correct answer is option d. 1.62 N/kg.

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