Calculating Work Done by Upward Buoyant Force on Hot Air Balloon

In summary, a hot air balloon with a mass of 425 kg accelerates at 1.25 m/s/s for 25 seconds, and the question asks for the work done by the upward buoyant force on the balloon. In a conceptual question, the amount of work required to accelerate a car from rest to a speed of v is given, and the question asks for the work required to accelerate from rest to a speed of v/2. The equations used are W = fd, Fnet = ma, and KE = 1/2mv^2. The first part of the problem involves finding the net force by adding the upward buoyant force and the weight, then using one dimensional motion to find the displacement. In the
  • #1
azhang40
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Homework Statement


A hot air balloon of mass 425 kg ascends from the ground level and accelerates at a rate of 1.25 m/s/s for 25 seconds. How much work is done by the upward buoyant force on the balloon?

(conceptual) A certain amount of work W is required to accelerate a car from rest to a speed of v. How much work is required to accelerate from rest to a speed of v/2?

Homework Equations


W=fd
Fnet=ma
KE=1/2mv^2


The Attempt at a Solution



I tried to find Fnet first, so would it be the upward buoyant force (what is trying to be solved)+mg (weight)= 425x1.25. Then find the displacement using one dimensional motion, getting 390.625 m traveled. Is all this right? How do I proceed?

Rearranged W=1/2m(v/2)^2 to 4w=1/2mv^2. How do I proceed? I'm solving for work required.
 
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  • #2
Cant you simply compute the height the balloon reached and then use PE=mgh ?
 

FAQ: Calculating Work Done by Upward Buoyant Force on Hot Air Balloon

What is the formula for calculating the work done by upward buoyant force on a hot air balloon?

The formula for calculating the work done by upward buoyant force on a hot air balloon is W = FB * h, where W is the work done in joules, FB is the upward buoyant force in newtons, and h is the height in meters.

How do you calculate the upward buoyant force on a hot air balloon?

The upward buoyant force on a hot air balloon can be calculated by using the formula FB = ρVg, where ρ is the density of the surrounding air in kg/m^3, V is the volume of the balloon in m^3, and g is the acceleration due to gravity (9.8 m/s^2).

What factors affect the work done by upward buoyant force on a hot air balloon?

The work done by upward buoyant force on a hot air balloon is affected by the density of the air, the volume of the balloon, and the height the balloon is lifted to. Other factors such as wind resistance and temperature can also impact the work done.

Why is it important to calculate the work done by upward buoyant force on a hot air balloon?

Calculating the work done by upward buoyant force on a hot air balloon is important because it helps us understand the amount of energy required to lift the balloon and maintain its altitude. This information can also be used to make adjustments to the balloon's design and operation for better efficiency.

How does the work done by upward buoyant force on a hot air balloon compare to the work done by gravity?

The work done by upward buoyant force on a hot air balloon is equal to the work done by gravity in order for the balloon to maintain a constant altitude. This is because the balloon is in equilibrium, with the upward buoyant force balancing out the downward force of gravity.

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