A firecracker in a coconut blows the coconut into three

Chapter 9, Problem 41P

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QUESTION:

Problem 41P

A firecracker in a coconut blows the coconut into three pieces. Two pieces of equal mass fly off south and west, perpendicular to each other, at 20 m/s. The third piece has twice the mass of the other two. What are the speed and direction of the third piece?

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QUESTION:

Problem 41P

A firecracker in a coconut blows the coconut into three pieces. Two pieces of equal mass fly off south and west, perpendicular to each other, at 20 m/s. The third piece has twice the mass of the other two. What are the speed and direction of the third piece?

ANSWER:

Step 1 of 3

Here we have to find the speed and direction of the third piece of the coconut.

The masses of the three pieces are,

,   and .

According to the question,

.

And .

So, the three masses will be,

m, m and 2m.

The first two masses fly towards south and west.

The third one flew in some different direction.

So, diagrammatically,

 

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