Question

A helium balloon ride lifts up passengers in a basket. Assume the
density of air is 1.28 kg/m^{3} and the density of
helium in the balloon is 0.18 kg/m^{3}. The radius of the
balloon (when filled) is R = 4.9 m. The total mass of
the empty balloon and basket
is m_{b} = 121 kg and the total volume is
V_{b} = 0.072 m^{3}. Assume the average person
that gets into the balloon has a mass m_{p} = 72 kg
and volume V_{p}= 0.077 m^{3}.

1)

What is the volume of helium in the balloon when fully inflated?

2)

What is the magnitude of the force of gravity on the entire system (but with no people)? Include the mass of the balloon, basket, and helium.

3)

What is the magnitude of the buoyant force on the entire system (but with no people)? Include the volume of the balloon, basket, and helium.

4)

What is the magnitude of the force of gravity on eachperson?

5)

What is the magnitude of the buoyant force on eachperson?

6)

How many FULL people can the balloon lift up? (Your answer must be
an integer.)

Answer #1

A helium balloon ride lifts up passengers in a basket. Assume
the density of air is 1.28 kg/m3 and the density of
helium in the balloon is 0.18 kg/m3. The radius of the
balloon (when filled) is R = 5 m. The total mass of the empty
balloon and basket is mb = 124 kg and the total volume
is Vb = 0.06 m3. Assume the average person
that gets into the balloon has a mass mp = 70 kg...

A helium balloon ride lifts up passengers in a basket. Assume
the density of air is 1.28 kg/m3 and the density of
helium in the balloon is 0.18 kg/m3. The radius of the
balloon (when filled) is R = 5 m. The total mass of the empty
balloon and basket is mb = 123 kg and the total volume
is Vb = 0.058 m3. Assume the average person
that gets into the balloon has a mass mp = 70 kg...

A helium balloon ride lifts up passengers in a basket. Assume
the density of air is 1.28 kg/m3 and the density of helium in the
balloon is 0.18 kg/m3. The radius of the balloon (when filled) is R
= 4.6 m. The total mass of the empty balloon and basket is mb = 126
kg and the total volume is Vb = 0.056 m3. Assume the average person
that gets into the balloon has a mass mp = 72 kg...

A helium balloon ride lifts up passengers in a basket. Assume
the density of air is 1.28 kg/m3 and the density of helium in the
balloon is 0.18 kg/m3. The radius of the balloon (when filled) is R
= 5.4 m. The total mass of the empty balloon and basket is mb = 121
kg and the total volume is Vb = 0.062 m3. Assume the average person
that gets into the balloon has a mass mp = 72 kg...

An inflated balloon of volume 1000 cm3 is filled with helium.
(a) What is the weight of the balloon? (b) What is the magnitude of
the buoyant force acting on it? (c) What is the magnitude and
direction of the net force acting on it? The density of air is 1.29
kg/m3 , the density of helium is 0.179 kg/m3 , and the mass of the
uninflated balloon is 1.0 g. (There is currently a severe shortage
of helium, so...

An inflated balloon of volume 1000 cm3 is filled with helium.
(a) What is the weight of the balloon? (b) What is the magnitude of
the buoyant force acting on it? (c) What is the magnitude and
direction of the net force acting on it? The density of air is 1.29
kg/m3 , the density of helium is 0.179 kg/m3 , and the mass of the
uninflated balloon is 1.0 g. (There is currently a severe shortage
of helium, so...

A spherical balloon has a radius of 6.35 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 970 kg . Neglect the buoyant force on the cargo volume
itself.
Determine the largest mass of cargo the balloon can lift.

A spherical balloon has a radius of 7.15 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 900 kg . Neglect the buoyant force on the cargo volume itself.
Part A Determine the largest mass of cargo the balloon can
lift.

A balloon filled with helium gas has an average density of ρb =
0.41 kg/m3. The density of the air is about ρa = 1.23 kg/m3. The
volume of the balloon is Vb = 0.069 m3. The balloon is floating
upward with acceleration a.
a) Express the weight of the balloon, W, in terms of
ρb and Vb.
b) Calculate the numerical value of W in
N.
c) Express the buoyant force Fb in terms of
ρa and Vb.
d)...

A balloon filled with helium travels at a constant velocity in
air (1.22 kg.m^3), The helium in the balloon has a volume 3.5 m^3
and density of 0.22 km/m^s. a. What is the magnitude of the buoyant
force exerted by the air on the balloon? b. What is the mass of the
balloon including the helium?

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