Chapter 5: Q33. (page 134)

Calculate the acceleration due to gravity on the Moon, which has radius $1 . 74 \times 10^{6} m$ and mass $7.35 \times 10^{22} kg$ ?

Short Answer

Expert verified

The acceleration due to gravity on the moon is $1.61 m / s^{2}$ .

Step by step solution

Step 1. Given Data

The radius of the moon is $r = 1.74 \times 10^{6} m$ .

The mass of the moon is $m = 7.35 \times 10^{22} kg$ .

Step 2. Understanding the gravitational acceleration

In this problem, the relation of acceleration due to gravity at any location on the planet’s surface will be utilized.

Step 3. Evaluating the gravitational acceleration on the moon

The relation of gravitational acceleration is given by,

$g = \frac{G m}{r^{2}}$

Here, G is the gravitational constant.

On plugging the values in the above relation.

$\begin{array}{l} g = [\frac{(6.67 \times 10^{- 11} N \cdot m^{2} / {kg}^{2}) (7.35 \times 10^{22} kg)}{{(1.74 \times 10^{6} m)}^{2}}] \\ g = 1.61 m / s^{2} \end{array}$

Thus, $g = 1.61 m / s^{2}$ is the required acceleration due to gravity.

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Calculate the acceleration due to gravity on the Moon, which has radius $1 . 74 \times 10^{6} m$ and mass $7.35 \times 10^{22} kg$ ?

Short Answer

Step by step solution

Step 1. Given Data

Step 2. Understanding the gravitational acceleration

Step 3. Evaluating the gravitational acceleration on the moon

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Calculate the acceleration due to gravity on the Moon, which has radius1.74×106mand mass7.35×1022kg?

Short Answer

Step by step solution

Step 1. Given Data

Step 2. Understanding the gravitational acceleration

Step 3. Evaluating the gravitational acceleration on the moon

One App. One Place for Learning.

Most popular questions from this chapter

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Calculate the acceleration due to gravity on the Moon, which has radius $1 . 74 \times 10^{6} m$ and mass $7.35 \times 10^{22} kg$ ?