Chapter 7: Q. 10 (page 177)

A $3000 k g$ meteorite falls toward the earth. What is the magnitude of the earth’s acceleration just before impact? The earth’s mass is $5.98 \times 10^{24} k g$ .

Short Answer

Expert verified

The magnitude of the earth’s acceleration just before impact is $4.9163 \times 10^{- 21} m / s^{2} .$

Step by step solution

Given information

The meteorite has a mass of $3000 k g$ and its acceleration is $9.8 m / s^{2} .$ The earth has a mass of $5.98 \times 10^{24} k g .$

Calculation

Here, the earth has a mass of $5.98 \times 10^{24} k g$ and 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" $F = m a F = 3000 k g \times 9.8 m / s^{2} F = 29400 N$

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

$F = m a a = F / m a = 29400 N / 5.98 \times 10^{24} k g a = 4.9163 \times 10^{- 21} m / s^{2}$

Final answer

The magnitude of the earth’s acceleration just before impact is $4.9163 \times 10^{- 21} m / s^{2} .$

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A $3000 k g$ meteorite falls toward the earth. What is the magnitude of the earth’s acceleration just before impact? The earth’s mass is $5.98 \times 10^{24} k g$ .

Short Answer

Step by step solution

Given information

Calculation

Final answer

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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

Step by step solution

Given information

Calculation

Final answer

One App. One Place for Learning.

Most popular questions from this chapter

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A $3000 k g$ meteorite falls toward the earth. What is the magnitude of the earth’s acceleration just before impact? The earth’s mass is $5.98 \times 10^{24} k g$ .