You decide to go for a ride in a hot-air balloon. You are hovering at a low alti

Question

You decide to go for a ride in a hot-air balloon. You are hovering at a low altitude. (That is, you are neither accelerating upward nor downward.) The total weight of the balloon (including ita load and the hot air in it) is 1.7 × 104 N. (Take atmospheric pressure = 1 atm = 105 Pa and g = 10 m/s2.)

1)What is the weight of the surrounding air that is displaced by the balloon? Weightair =

2)What is the volume of this displaced air? (Take the density of air to be 1.21 kg/m3.) Vair =

3)At the end of your ride, the balloon descends at 0.2 m/s2. Calculate the magnitude of the net force acting on the balloon.

Fnet =

4)Calculate the magnitude of the buoyant force acting on the balloon. FB =

Explanation / Answer

a)

From archimedes principle ,the weight of air displaced by ballon is

Wair=1.7*104 N

b)

mass

m=F/g=17000/10=1700 kg

Volume of displaced air

V=m/p=1700/1.21=1405 m3

c)

Net force acting on the ballon

Fnet=ma=1700*0.2=340 N

d)

Buoyant forçe

FB=17000-340=16,660 N

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

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