Newton's laws and a balloon

In summary, the balloon has a total mass of 1200 kg and is hovering at an altitude of 500m. After 100kg of sand is emptied from the basket, the balloon's weight is still balanced by the upthrust. This means that the upward acceleration of the balloon is 9.8 m/s^2.
  • #1
Izzybee
11
0

Homework Statement


A balloon with an attached basket and a total mass of 1200 kg is hovering at an altitude of 500m. A bag containing 100kg of sand is emptied over the side of the basket. Find the upward acceleration of the balloon after the sand has been poured out.


Homework Equations



F=ma

The Attempt at a Solution



I have no clue how to start this equation or solve it! Please help!
 
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  • #2
The balloon had enough upthrust to keep its own weight in equilibrium. When some of the mass is lost it still has the same upthrust. What then is the acceleration?
 
  • #3
9.8?
 
  • #4
Izzybee said:
9.8?

What does this mean?

The balloons weight is balanced by the upthrust at first. Therefore the upthrust is equal in magnitude to the balloons weight. What is the balloons weight?
 

What are Newton's laws?

Newton's laws are three fundamental principles of physics that describe the motion of objects. They are: 1) an object at rest will stay at rest and an object in motion will stay in motion unless acted upon by an external force, 2) force is equal to mass times acceleration, and 3) for every action, there is an equal and opposite reaction.

How does a balloon demonstrate Newton's first law?

A balloon at rest will stay at rest until acted upon by an external force, such as air being blown into it. Once the balloon is inflated, it will stay in motion unless acted upon by an external force, such as the force of gravity pulling it back down.

What is Newton's second law and how does it apply to a balloon?

Newton's second law states that the force applied to an object is equal to its mass times its acceleration. In the case of a balloon, when air is blown into it, the force of the air molecules hitting the inside of the balloon causes the balloon to accelerate and expand.

How does a balloon demonstrate Newton's third law?

Newton's third law states that for every action, there is an equal and opposite reaction. When air is blown into a balloon, the air molecules inside the balloon push back against the walls of the balloon, causing it to expand. This is the equal and opposite reaction to the force of the air molecules hitting the inside of the balloon.

How can Newton's laws be used to explain the behavior of a balloon when it is released?

When a balloon is released, the force of gravity pulls it down while the force of the air molecules inside the balloon pushes it up. This demonstrates Newton's first law, as the balloon will continue in motion until acted upon by an external force. It also demonstrates Newton's second law, as the force of the air molecules pushing up on the balloon is equal to the mass of the balloon times its acceleration. Finally, it demonstrates Newton's third law, as the force of the air molecules pushing up on the balloon is equal and opposite to the force of gravity pulling it down.

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