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Chapter 5: Q33. (page 134)

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

Short Answer

Expert verified

The acceleration due to gravity on the moon is 1.61m/s2.

Step by step solution

01

Step 1. Given Data

The radius of the moon is r=1.74脳106m.

The mass of the moon is m=7.35脳1022kg.

02

Step 2. Understanding the gravitational acceleration

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

03

Step 3. Evaluating the gravitational acceleration on the moon

The relation of gravitational acceleration is given by,

g=Gmr2

Here, G is the gravitational constant.

On plugging the values in the above relation.

g=6.67脳10-11N路m2/kg27.35脳1022kg1.74脳106m2g=1.61m/s2

Thus, g=1.61m/s2is the required acceleration due to gravity.

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