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Calculate the acceleration due to gravity on the moon. The moon's radius is 1.74×10⁶ m and its mass is 7.35×10²² kg. What is the acceleration due to gravity on the moon?

User Yona
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Final answer:

The acceleration due to gravity on the moon is approximately 1.62 m/s².

Step-by-step explanation:

To calculate the acceleration due to gravity on the moon, we can use the formula for gravitational acceleration:

g = (G * M) / r^2

where G is the gravitational constant (6.67 × 10^-11 N.m^2/kg^2), M is the mass of the moon (7.35 × 10^22 kg), and r is the radius of the moon (1.74 × 10^6 m).

Substituting the given values into the formula, we get:

g = (6.67 × 10^-11 * 7.35 × 10^22) / (1.74 × 10^6)^2

g = 1.62 m/s^2

Therefore, the acceleration due to gravity on the moon is approximately 1.62 m/s^2.

User Radtek
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