From rest a balloon begins to rise. the Balloon experiences a lift due to a buoyant force of 8000 N. 1. Total massof the balloon is 600kg. Find Acceleration. 2. The balloon rises a distance of 10m and loses a mass of 50 kg after a weight is thrown off. Find the acceleration of the balloon after this weight loss 3. Find the initial velocity of the mass in the vertical direction at the timeof the jump. 4. After falling 10 m, find the mass' final velocity as it comesinto contact with the ground. 5.What is the total time the mass takes to hit the ground? 6. Find the heightof the balloon when the mass hits the ground 7. The mass lands 3 m from the baloon, find the horizontal velocity required to land 3m from the balloon. 8. Since the balloon exeperiences equal forces when the mass is thrown off, what is the horizontal velocity the baloon experiences during this act and how far does the balloon travel when the mass comes into contact with the ground?

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Chapter6: Applications Of Newton's Laws
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Okay so question 1 2 and 3 have been solved, the answers are 

1. a = 3.5233 m/s^2

2. a = 4.7354 m/s^2

3. v = 8.3944 m/s

PLEASE SOLVE 3 THROUGH 4 ONLY, written work only please

 

From rest a balloon begins to rise. the Balloon experiences a lift due to a buoyant force of 8000 N.
1. Total massof the balloon is 600kg. Find Acceleration.
2. The balloon rises a distance of 10m and loses a mass of 50 kg after a weight is thrown off. Find the
acceleration of the balloon after this weight loss
3. Find the initial velocity of the mass in the vertical direction at the timeof the jump.
4. After falling 10 m, find the mass' final velocity as it comesinto contact with the ground.
5.What is the total time the mass takes to hit the ground?
6. Find the heightof the balloon when the mass hits the ground
7. The mass lands 3 m from the baloon, find the horizontal velocity required to land 3m from the balloon.
8. Since the balloon exeperiences equal forces when the mass is thrown off, what is the horizontal velocity the
baloon experiences during this act and how far does the balloon travel when the mass comes into contact
with the ground?
Transcribed Image Text:From rest a balloon begins to rise. the Balloon experiences a lift due to a buoyant force of 8000 N. 1. Total massof the balloon is 600kg. Find Acceleration. 2. The balloon rises a distance of 10m and loses a mass of 50 kg after a weight is thrown off. Find the acceleration of the balloon after this weight loss 3. Find the initial velocity of the mass in the vertical direction at the timeof the jump. 4. After falling 10 m, find the mass' final velocity as it comesinto contact with the ground. 5.What is the total time the mass takes to hit the ground? 6. Find the heightof the balloon when the mass hits the ground 7. The mass lands 3 m from the baloon, find the horizontal velocity required to land 3m from the balloon. 8. Since the balloon exeperiences equal forces when the mass is thrown off, what is the horizontal velocity the baloon experiences during this act and how far does the balloon travel when the mass comes into contact with the ground?
:: m= 600 ку
By Newton's & Law Firef = FB - W
→ ma = 8000-mg
W = mg
-
→ a= 8000 - 600x 9.81
600
| a = 3-5233 m/s²
S=10m, mless = 50kg, m²=m- mens = 600-50=550kg
- Fref=
8000 mg
m'a = sovo-m'g
-
→
a= 8000-550x9-81
550
[a² = 4₁7354 m/s²
m) initial velocity of mess =
velvity of balloon (Vis)
رة
FB
By 3rd eq" of motion for balloon →
V²v²=2as
here V = VB, U = 0 (starting from rest)
a = 3-5233 m/s²
S = 10m
• V₁² = 0 + 2x 3.5233 × 10
VB = 8-3944 m/s
a
↑ Fret
Transcribed Image Text::: m= 600 ку By Newton's & Law Firef = FB - W → ma = 8000-mg W = mg - → a= 8000 - 600x 9.81 600 | a = 3-5233 m/s² S=10m, mless = 50kg, m²=m- mens = 600-50=550kg - Fref= 8000 mg m'a = sovo-m'g - → a= 8000-550x9-81 550 [a² = 4₁7354 m/s² m) initial velocity of mess = velvity of balloon (Vis) رة FB By 3rd eq" of motion for balloon → V²v²=2as here V = VB, U = 0 (starting from rest) a = 3-5233 m/s² S = 10m • V₁² = 0 + 2x 3.5233 × 10 VB = 8-3944 m/s a ↑ Fret
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