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Chapter 7: Q. 10 (page 177)

A 3000kgmeteorite falls toward the earth. What is the magnitude of the earth’s acceleration just before impact? The earth’s mass is5.98×1024kg.

Short Answer

Expert verified

The magnitude of the earth’s acceleration just before impact is 4.9163×10-21m/s2.

Step by step solution

01

Given information

The meteorite has a mass of 3000kgand its acceleration is 9.8m/s2.The earth has a mass of 5.98×1024kg.

02

Calculation

Here, the earth has a mass of 5.98×1024kgand the acceleration of the earth is unknown.

The force of gravity exerted on the meteorite by the earth is the same as the force of gravity exerted on the earth by the meteorite, according to Newton's third law.

So, the force of gravity exerted on the meteorite by the earth is given by:-

localid="1649254099207" F=maF=3000kg×9.8m/s2F=29400N

The same amount of force is exerted on Earth . Its acceleration is given by:-

F=maa=F/ma=29400N/5.98×1024kga=4.9163×10-21m/s2

03

Final answer

The magnitude of the earth’s acceleration just before impact is4.9163×10-21m/s2.

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