Question

In: Physics

A spherical weather balloon is filled with hydrogen until its radius is 3.40 m. Its total...

A spherical weather balloon is filled with hydrogen until its radius is 3.40 m. Its total mass including the instruments it carries is 11.0 kg.

(a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m³.
_________N

(b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground?
_________N

Expert Solution

Given that
Radius r = 3.40 m

Mass m = 11 kg

Density of air ? = 1.29 kg/m^3

(a)

Volume of the balloon V = (4/3) ? r^3

= (4/3) ?( 3.40 m)^3

=164.55 m^3

Buoyant force Fb = Weight of the air displaced

= ? V g

= (1.29 kg/m^3 ) (164.552 m^3)( 9.8 m/s2)

= 2080.275 N

(b)

The net force acting on the balloon and its instruments after the balloon is released from the ground

F = Fb - W

= Fb - mg

= 2080.275 N- (11 kg ) (9.8 m/s2 )

= 1972.475 N

genius_generous answered 1 year ago

A spherical balloon has a radius of 6.95m and is filled with helium.

A spherical balloon has a radius of 6.95m 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 960kg. Neglect the buoyant force on the cargo volume itself. Determine the largest mass of cargo the balloon can lift.

A spherical mylar balloon filled with Hydrogen gas, with density 0.0899 kg/m3 and having radius 7...

A spherical mylar balloon filled with Hydrogen gas, with density 0.0899 kg/m3 and having radius 7 meters is immersed in a gas having density X1=1.205 for the first 10 km and X2=2.489 for the second 10 km (with the upper atmosphere density smaller than the lower atmosphere density). Determine how long it takes the balloon to reach the top of the second layer. To do this, you will have to: a) find the net force on the balloon (assume the...

A spherical balloon 6m diameter is filled with gas weighing 5.50N/m^3, what is the maximum load,...

A spherical balloon 6m diameter is filled with gas weighing 5.50N/m^3, what is the maximum load, including its own weight that the balloon can lift?

A weather balloon filled with helium is launched at sea level in California on a clear...

A weather balloon filled with helium is launched at sea level in California on a clear day when the temperature is 34 oC and the atmospheric pressure is 758 torr (recall 760 torr = 1 atm). What is the density of the gas in grams/Liter?

There is a solid, spherical dielectric (radius = 3 m) with a total charge of 30...

There is a solid, spherical dielectric (radius = 3 m) with a total charge of 30 μC and with uniform charge density. What is the electric field strength and the electric potential at -the center? (answer is 0 N/C and 135,000 V just show the work) -a distance 2 m from the center? (answer is 20,000 N/C and 115,000 V just show the work)

A 110.0 L of weather balloon filled with 6.9 moles of helium has a small leak....

A 110.0 L of weather balloon filled with 6.9 moles of helium has a small leak. If the helium leaks at a rate of 10mmol/hr, what is the volume of the balloon in 43 hours?

A) A helium-filled weather balloon has a volume of 593 L at 16.9°C and 752 mmHg....

A) A helium-filled weather balloon has a volume of 593 L at 16.9°C and 752 mmHg. It is released and rises to an altitude of 7.34 km, where the pressure is 354 mmHg and the temperature is –27.1°C. The volume of the balloon at this altitude is L. B) A sample of helium gas occupies a volume of 7.24 L at 52.0°C and 1.14 atm. If it is desired to increase the volume of the gas sample to 9.74 L,...

A conducting spherical shell with inner radius a=0.1 m and outer radius b=0.5 m has a...

A conducting spherical shell with inner radius a=0.1 m and outer radius b=0.5 m has a positive point charge Q=+5 nC located in its center. The total charge on the shell is -3Q and it is insulated from its surroundings. a. Calculate the surface charge density on the surfaces of the shell. b. Calculate the magnitude of the electric field at a radius of 0.01 m, and at a radius of 1.5 m. c. Sketch the electric field lines in...

A 2.8kg balloon is filled with helium ( density = 0.179 kg/m 3 ). Part A...

A 2.8kg balloon is filled with helium ( density = 0.179 kg/m 3 ). Part A If the balloon is a sphere with a radius of 5.1m , what is the maximum weight it can lift? (N)

Differential equations-Cengel 2.98 A spherical tank of radius R is initially filled with water. Now a...

Differential equations-Cengel 2.98 A spherical tank of radius R is initially filled with water. Now a hole of radius r is opened at the bottom of the tank and the water is let out. According to Torricelli's law, water comes out of the opening at a velocity v = (2gy) ^ 1/2, where y is the height of the water over the hole at a given moment, and g is the acceleration of gravity. Obtain a relation for the depth...