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Physics / Physics: Principles with Applications 6 / Chapter 7 / Problem 61P

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

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A helium balloon and its gondola, of mass M, are in the

Chapter 1, Problem 61P

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Problem 61P

A helium balloon and its gondola, of mass M, are in the air and stationary with respect to the ground. A passenger, of mass m, then climbs out and slides down a rope with speed v, measured with respect to the balloon. With what speed and direction (relative to Earth) does the balloon then move? What happens if the passenger stops?

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QUESTION:

Problem 61P

A helium balloon and its gondola, of mass M, are in the air and stationary with respect to the ground. A passenger, of mass m, then climbs out and slides down a rope with speed v, measured with respect to the balloon. With what speed and direction (relative to Earth) does the balloon then move? What happens if the passenger stops?

ANSWER:

Step 1 of 2

A helium ball and its gondola of mass M are in the air and stationary with respect to the ground. A passenger of mass m then climbs out and slides down with speed v, measure with respect to the balloon.

The speed and the velocity can be calculated using law of conservation of momentum,

Thus by the law of conservation of momentum,

Man’s momentum = Momentum of the balloon.

Where

m = mass of passenger

v = speed of passenger

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