How Does Emptying Sand Affect a Balloon's Acceleration?

AI Thread Summary
The discussion centers on calculating the upward acceleration of a balloon after it loses mass by emptying a bag of sand. Initially, the balloon, with a total mass of 1200 kg, is in equilibrium, balanced by the upthrust force. Once the 100 kg of sand is released, the balloon's mass decreases to 1100 kg, while the upthrust remains unchanged. The key equation to use is F=ma, where the net force acting on the balloon determines its acceleration. The balloon's weight must be calculated to find the new acceleration after the sand is emptied.
Izzybee
Messages
11
Reaction score
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!
 
Physics news on Phys.org
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?
 
9.8?
 
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?
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

What is the velocity of a hot air balloon after sand leaks out?
Replies
7
Views
4K
How Does Temperature Affect the Lifting Capacity of a Hot Air Balloon?
Replies
18
Views
7K
Balloon Movement in Accelerating Truck: Solving with Newton's Laws
Replies
14
Views
3K
How Do You Calculate the Acceleration of This Inflated Balloon?
Replies
4
Views
2K
Problem Set Involving Inertia and Balloons
Replies
2
Views
2K
Solving Newtons Law Problem for Hot Air Balloon Mass of Ballast
Replies
5
Views
7K
How Do You Calculate the Buoyant Force of a Helium Balloon?
Replies
1
Views
9K
What is the Mass of the Late Arrival in a Hot-Air Balloon Ride?
Replies
4
Views
4K
Force and Air Balloon problem help
Replies
1
Views
4K
Finding mass of cargo dropped from hot air balloon
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top