Alarge helium filled balloon is used as the center piece for a graduation party. the balloon alone has a mass of 222 kg and it is filled with helium gas until its volume is 328 m3. assume the density of air is 1.20 kg/m3 and the density of helium is 0.179 kg/m3. calculate the buoyant force acting on the balloon.

The buoyant force is 3778.8 N in upward.

Explanation:

Given that,

Mass of balloon = 222 Kg

Volume = 328 m³

Density of air = 1.20 kg/m³

Density of helium = 0.179 kg/m³

We need to calculate the buoyant force acting

Using formula of buoyant force

Where, = density of air

V = Volume of balloon

g = acceleration due to gravity

Put the value into the formula

This buoyant force is in upward direction.

Hence, The buoyant force is 3778.8 N in upward.

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-lavira: )

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s