C2B.7Suppose I drop a 60-kg anvil from rest and from such a height that the anvil reaches a speed of 10 m/s just before hitting the ground. Assume the earth was at rest before I dropped the anvil. (a) What is the earth's speed just before the anvil hits

Complete Question

C2B.7

Suppose I drop a 60-kg anvil from rest and from such a height that the anvil reaches a speed of 10 m/s just before hitting the ground. Assume the earth was at rest before I dropped the anvil.

(a) What is the earth's speed just before the anvil hits?

b)     How long would it take the earth to travel (about a bacterium's width) at this speed?

a

b

Explanation:

From the question we are told that

     The mass of the anvil is

     The speed at which it hits the ground is  

Generally the mass of the earth  has a value  

Now according to the principle  of momentum conservation

 Where is the initial momentum which is zero given that both the anvil and the earth are at rest

   Now   is the final momentum which is mathematically represented as

So  

substituting values

=>    

Here the negative sign show that it is moving in the opposite direction to the anvil

  The magnitude of the earths speed is

The time it would take the earth is  mathematically represented as

substituting values