A spherical weather balloon is filled with hydrogen until itsradius is 3.10 m. I

Question

A spherical weather balloon is filled with hydrogen until itsradius is 3.10 m. Its total massincluding the instruments it carries is 14.0 kg. (a) Find the buoyant force acting on theballoon, assuming the density of air is 1.29 kg/m3.
1 N

(b) What is the net force acting on the balloon and its instrumentsafter the balloon is released from the ground?
2 N

(c) Why does the radius of the balloon tend toincrease as it rises to higher altitude?
Because the external pressure 3---Select---decreasesincreases with4---Select---increasingdecreasing altitude. (a) Find the buoyant force acting on theballoon, assuming the density of air is 1.29 kg/m3.
1 N

(b) What is the net force acting on the balloon and its instrumentsafter the balloon is released from the ground?
2 N

(c) Why does the radius of the balloon tend toincrease as it rises to higher altitude?
Because the external pressure 3---Select---decreasesincreases with4---Select---increasingdecreasing altitude.

Explanation / Answer

a)
The volume of a sphere is given by
V=4/3r3
V=4/3(3.14)(3.10)3
V=124.788 m3
The buoyant force is given by
Fb=Vg
Fb=(1.29)(124.788)(9.8)
Fb= 1577.57N
.
b)

Note that up is positive, so g = -9.8 N/kg
Net F = Fb + Fg
Net F = Vg + mg
Net F = 1577.57- 14(9.8)
Net F = 1577.57- 137.2
Net F = 1440N
.
c)
Because the external pressure decreases with increasingaltitude
.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.