A balloon is rising at 19 m/s when

  • Thread starter imac
  • Start date
  • Tags
    Balloon
In summary, the question involves a balloon rising at a speed of 19 m/s and a passenger throwing a ball straight up at 21 m/s. The task is to find the time it takes for the passenger to catch the ball. The relevant equation for this problem is v(t) = v0t - 0.5(9.8)t^2, where v(t) is the velocity at time t, v0 is the initial velocity, and 9.8 is the acceleration due to gravity. The concept of Galilean relativity is also mentioned, which states that the laws of physics are the same in all inertial frames.
  • #1
imac
7
0

Homework Statement


A balloon is rising at 19 m/s when its passenger throws a ball straight up at 21 m/s. How much later does the passenger catch the ball?

Homework Equations


Don't know relevant equations. except v(t)=vot-0.5(9.8)t^2 but I don't think that works.

The Attempt at a Solution


I've attempted this question 4 different ways and times. The answer isn't 4.0816 or 8.1632.

Please help, any help would be appreciated.
 
Last edited:
Physics news on Phys.org
  • #2
v0t? and why is g and 9.8 in the equation?

are you familiar with Galilean relativity?
 
  • #3
granpa said:
v0t? and why is g and 9.8 in the equation?

are you familiar with Galilean relativity?

Fixed it sorry, no... I'm not familiar with Galilean relativity.
 
  • #4
velocity=initial velocity + acceleration * time
Galilean invariance or Galilean relativity is a principle of relativity which states that the fundamental laws of physics are the same in all inertial frames. Galileo Galilei first described this principle in 1632 in his Dialogue Concerning the Two Chief World Systems using the example of a ship traveling at constant speed, without rocking, on a smooth sea; any observer doing experiments below the deck would not be able to tell whether the ship was moving or stationary. Today one can make the same observations while traveling in an aeroplane with constant velocity. The fact that the Earth on which we stand orbits around the sun at approximately 30 km/s offers a somewhat more dramatic example.
 

1. What factors affect the rate of a balloon rising?

The main factors that affect the rate of a balloon rising are the density of the gas inside the balloon, the weight of the balloon itself, and any external forces such as wind or air resistance.

2. How does the velocity of a balloon change as it rises?

As a balloon rises, its velocity decreases due to the decreasing air density and increasing air resistance. Eventually, the velocity will reach a constant rate, known as the terminal velocity, where the upward force of the gas in the balloon is equal to the downward force of gravity.

3. Can a balloon rise faster than 19 m/s?

It is possible for a balloon to rise faster than 19 m/s, but it would require a significant amount of external force or a very light weight balloon. In most cases, 19 m/s is a relatively fast rate of ascent for a balloon.

4. What would happen if the rate of a rising balloon suddenly increased?

If the rate of a rising balloon suddenly increased, it could be due to a change in external factors such as wind or temperature. The balloon may also lose some of its gas, causing it to become lighter and rise faster. In some cases, a sudden increase in velocity could cause the balloon to burst.

5. How does the rate of a balloon rising compare to other modes of transportation?

A balloon rising at 19 m/s is considered a relatively slow rate of ascent compared to other modes of transportation such as airplanes or rockets. However, it is faster than walking or driving in a car. Balloons are not typically used for long distance transportation, but rather for leisure activities or scientific research.

Similar threads

  • Introductory Physics Homework Help
Replies
9
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
3K
  • Introductory Physics Homework Help
Replies
10
Views
2K
  • Introductory Physics Homework Help
2
Replies
62
Views
3K
  • Introductory Physics Homework Help
Replies
11
Views
3K
  • Introductory Physics Homework Help
Replies
17
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
10
Views
3K
  • Introductory Physics Homework Help
Replies
32
Views
3K
Back
Top