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Chapter 11: Q. 18 (page 287)

A 300gbird flying along at 6.0m/ssees a 10g insect heading straight toward it at a speed of 30m/s. The bird opens its mouth wide and enjoys a nice lunch. What is the bird’s speed immediately after swallowing?

Short Answer

Expert verified

The final speed of the bird is4.8m/s.

Step by step solution

01

Given information

We have given,

Speed of bird =6m/s

Speed of insect =30m/s

Mass of bird =300g

Mass of insect =10g

We have to find the bird's final speed after he eat the insect.

02

Simplify

We know from the conservation of momentum that in the colleen the momentum before the Collison of the system will be same after the Collison.

momentum before Collison = Momentum after Collison

PI=PF

since initial momentum will be the sum of momentums of the bird and insect individuals.

PI=mBVB+mI+VIPI=0.3kg×6m/s+0.01kg×-30m/sPF=(0.3+0.01)kg×V

THEN,

PF=PI0.31kg×V=(0.18-0.3)V=4.8m/s

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A spaceship of mass 2.0 × 106 kg is cruising at a speed of 5.0 × 106 m/s when the antimatter reactor fails, blowing the ship into three pieces. One section, having a mass of 5.0 × 105 kg, is blown straight backward with a speed of 2.0 × 106 m/s. A second piece, with mass 8.0 × 105 kg, continues forward at 1.0 ×106 m/s. What are the direction and speed of the third piece?

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a. Write a realistic problem for which this is the correct equation(s).

b. Finish the solution of the problem, including a pictorial representation.
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