Question

A spherical balloon filled with helium gas must lift a1.00-kg scientific payload off the ground, and...

A spherical balloon filled with helium gas must lift a1.00-kg scientific payload off the ground, and the mass of the empty balloon is 0.500 kg. The mass densities are 1.286 kg/m3 for air, 0.179 kg/m3for helium gas, 1.251 kg/m3 for nitrogen gas.

Part A

What is the minimum diameter of the balloon?

Express your answer with the appropriate units.

d =

SubmitMy AnswersGive Up

Part B

A helium shortage forces the scientists to consider using nitrogen gas in the balloon. What minimum balloon diameter is needed if nitrogen gas is used?

Express your answer with the appropriate units.

d =
0 0
Add a comment Improve this question Transcribed image text
Answer #1

Baur on - 0:5 Py em aur (1) a =(M+42)I e l-286V = 1.5や179 V -107 3 R= 0.686 m tam ittf 1342 m Draueter 434 m

Add a comment
Know the answer?
Add Answer to:
A spherical balloon filled with helium gas must lift a1.00-kg scientific payload off the ground, and...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • An uninflated balloon of mass 6.00 x 10 kg has a volume of 7.10 x 10-2 m3 when fully inflated with a mixture of heli...

    An uninflated balloon of mass 6.00 x 10 kg has a volume of 7.10 x 10-2 m3 when fully inflated with a mixture of helium and hydrogen gas. You tie a long, heavy cord to the balloon and allow the balloon to float above a table. The length of cord lifted off the table is 283 mm, and the linear mass density of the cord is 0.260 kg/m. The mass densities are 1.286 kg/m3 for air, 0.179 kg/m3 for helium...

  • A spherical balloon has a radius of 7.65 m and is filled with helium. The density...

    A spherical balloon has a radius of 7.65 m and is filled with helium. The density of helium is 0.179 kg/m3, and the density of air is 1.29 kg/m3. The skin and structure of the balloon has a mass of 930 kg . Neglect the buoyant force on the cargo volume itself. Determine the largest mass of cargo the balloon can lift.

  • A large weather balloon whose mass is 222 kg is filled with helium gas until its...

    A large weather balloon whose mass is 222 kg is filled with helium gas until its volume is 322 m3. Assume the density of air is 1.20 kg/m3 and the density of helium is 0.179 kg/m3. (a) Calculate the buoyant force acting on the balloon.           3786.72 N (b) Find the net force on the balloon.                       N upward (c) What additional mass can the balloon support in equilibrium?                      kg Please help!

  • A large weather balloon whose mass is 222 kg is filled with helium gas until its...

    A large weather balloon whose mass is 222 kg is filled with helium gas until its volume is 330 m3. Assume the density of air is 1.20 kg/m3 and the density of helium is 0.179 kg/m3 (a) Calculate the buoyant force acting on the balloon. (b) Find the net force on the balloon and determine whether the balloon will rise or fall after it is released. Fnet- direction - Select (c) What additional mass can the balloon support in equilibrium?...

  • A large balloon of mass 226 kg is filled with helium gas until its volume is...

    A large balloon of mass 226 kg is filled with helium gas until its volume is 325 m3. Assume the density of air is 1.20 kg/m3 and the density of helium is 0.179 kg/m3. (a) Calculate the buoyant force acting on the balloon. (b) Find the net force on the balloon and determine whether the balloon will rise or fall after it is released. (c) What maximum additional mass can the balloon support in equilibrium? (d) If you skip (c),...

  • A light balloon is filled with 384 m3 of helium at atmospheric pressure. at Standared ρ(kg/㎡) Su...

    A light balloon is filled with 384 m3 of helium at atmospheric pressure. at Standared ρ(kg/㎡) Substance ρ(kg/ml) 1.29 2.70 × 103 0.579×10s 8.92 × 10s Inn Irad Mercury 0.917 × 10, 7.86 × 103 11.3 × 10? 136 × 10, Copper ×103 1.00 x 10 Osygen gas 1.26 × 10s Pine 193 x 10 Platinum 1.79 × 10-1 Seawater 8.99 × 10-2 Ethyl alcohol 06 10Oak 0710 X 10 Ghcerin Gold Helium gas Hydrogen gas 143 0.373 × 103...

  • 1.) A balloon with 20 ft diameter is filled with Helium at STP (assume spherical shape...

    1.) A balloon with 20 ft diameter is filled with Helium at STP (assume spherical shape volume is negligible) with a payload/lifting capacity of 130.86 kg. Take the same size balloon and fill with hot air this time. What must the internal temp be to lift the same mass?

  • A spherical balloon of 11 m in diameter is filled with helium of gas constant, R...

    A spherical balloon of 11 m in diameter is filled with helium of gas constant, R = 2.0771 kJ/kg.K at T = 15 oC and P = 100 kPa. If the balloon is used to lift load in the air of 1.25 kg/m3 density, how much load in Newtons (in addition to its own weight) can the balloon carry. Ignore drag force and weight of the balloon’s fabric? (Volume of a sphere = 4 3 ??^3 ).

  • A helium-filled balloon, whose envelope has a mass of 0.26 kg, is tied to a 3.6-m long, 0.053-kg string. The balloon is...

    A helium-filled balloon, whose envelope has a mass of 0.26 kg, is tied to a 3.6-m long, 0.053-kg string. The balloon is spherical with a radius of 0.40 m. When released, it lifts a length h of the string and then remains in equilibrium, as in the figure below. Determine the value of h. Hint: Only that part of the string above the floor contributes to the load being supported by the balloon. (The density of air is 1.29 kg/m3...

  • A helium-filled balloon, whose envelope has a mass of 0.29 kg, is tied to a 3.9-m...

    A helium-filled balloon, whose envelope has a mass of 0.29 kg, is tied to a 3.9-m long, 0.051-kg string. The balloon is spherical with a radius of 0.40 m. When released, it lifts a length h of the string and then remains in equilibrium, as in the figure below. Determine the value of h. Hint: Only that part of the string above the floor contributes to the load being supported by the balloon. (The density of air is 1.29 kg/m3...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT