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Chapter 7: Q4Q (page 170)

When you release an inflated but untied balloon, why does it fly across the room?

Short Answer

Expert verified

The balloon will fly across the room opposite to the released gas due to Newton’s third law.

Step by step solution

01

Application of conservation of momentum

The gas inside a balloon at greater pressure will come out quickly from the open end as soon as you release an inflated but untied balloon placed at rest position.

This is because of the principle of conservation of momentum. The expelled gas exerts a recoil momentum on the balloon.

02

Determination of the direction of motion of balloon

In this case, the gas released and the balloon together make a closed system, and the momentum of this system is conserved. Since the balloon's momentum and the momentum of the remaining gas in the balloon is equal in magnitude but opposite in direction to the released gas momentum, the balloon flies across the room.

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Most popular questions from this chapter

A child in a boat throws a 5.30-kg package out horizontally with a speed of 10.0 m/s Fig. 7–31. Calculate the velocity of the boat immediately after, assuming it was initially at rest. The mass of the child is 24.0 kg and the mass of the boat is 35.0 kg.

FIGURE 7-31

Problem 7.

A radioactive nucleus at rest decays into a second nucleus, an electron, and a neutrino. The electron and neutrino are emitted at right angles and have momenta of \(9.6 \times {10^{ - 23}}\;{\rm{kg}} \cdot {\rm{m/s}}\) and \(6.2 \times {10^{ - 23}}\;{\rm{kg}} \cdot {\rm{m/s}}\), respectively. Determine the magnitude and the direction of the momentum of the second (recoiling) nucleus.

Car A hits car B (initially at rest and of equal mass) from behind while going\(38\;{\rm{m/s}}\). Immediately after the collision, car B moves forward at\(15\;{\rm{m/s}}\)and car A is at rest. What fraction of the initial kinetic energy is lost in the collision?

A golf ball of mass 0.045 kg is hit off the tee at a speed of 38 m/s. The golf club was in contact with the ball for \({\bf{3}}{\bf{.5 \times 1}}{{\bf{0}}^{{\bf{ - 3}}}}\;{\bf{s}}\). Find

(a) the impulse imparted to the golf ball, and

(b) the average force exerted on the ball by the golf club.

An object at rest is suddenly broken apart into two fragments by an explosion. One fragment acquires twice the kinetic energy of the other. What is the ratio of their masses?
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