Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 7, Problem 63GP
To determine

The components of final velocity of the rocket.

Expert Solution & Answer
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Answer to Problem 63GP

The x component of velocity is vx=32v0 .

The y component of velocity is vy=v0 .

Explanation of Solution

Given:

The mass of the rocket is m .

The mass of the fuel dumped is m3 .

The velocity of the rocket along x direction is v0 .

The velocity of the rocket along y direction is vy=13m=2v0 .

Formula used:

The expression for momentum is,

  p=mv

Here, m is the mass and v is the velocity.

The expression for law of conservation of momentum is,

  m1u1=m1v1

Here, m1 is the mass of the object 1, u1 is the initial velocity of object 1, and v1 is the final velocity of object 1.

Calculation:

Sketch the representation of the rocket as shown below.

  Physics: Principles with Applications, Chapter 7, Problem 63GP

Apply the momentum along x direction.

  m1v0=(m1m2)vx+m2v1mv0=(m13m)vxvx=32v0

Apply the momentum along y direction.

  0=m2vy+(m1m2)vy0=13m(2v0)+(m13m)vy23mv0=23mvyvy=v0

Conclusion:

Thus, the x component of velocity is vx=32v0 and the y component of velocity is vy=v0 .

Chapter 7 Solutions

Physics: Principles with Applications

Ch. 7 - Prob. 11QCh. 7 - Prob. 12QCh. 7 - Prob. 13QCh. 7 - Prob. 14QCh. 7 - Prob. 15QCh. 7 - Prob. 16QCh. 7 - Prob. 17QCh. 7 - Prob. 18QCh. 7 - Prob. 19QCh. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10PCh. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - Prob. 13PCh. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Prob. 33PCh. 7 - Prob. 34PCh. 7 - Prob. 35PCh. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - Prob. 40PCh. 7 - Prob. 41PCh. 7 - Prob. 42PCh. 7 - Prob. 43PCh. 7 - Prob. 44PCh. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 56PCh. 7 - Prob. 57PCh. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - Prob. 62GPCh. 7 - Prob. 63GPCh. 7 - Prob. 64GPCh. 7 - Prob. 65GPCh. 7 - Prob. 66GPCh. 7 - Prob. 67GPCh. 7 - Prob. 68GPCh. 7 - Prob. 69GPCh. 7 - Prob. 70GPCh. 7 - Prob. 71GPCh. 7 - Prob. 72GPCh. 7 - Prob. 73GPCh. 7 - Prob. 74GPCh. 7 - Prob. 75GPCh. 7 - Prob. 76GPCh. 7 - Prob. 77GPCh. 7 - Prob. 78GPCh. 7 - Prob. 79GPCh. 7 - Prob. 80GPCh. 7 - Prob. 81GP
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