What is the up thrust experienced by a balloon of volume 120 m 3 filled with hydrogen- The density of air -1-140 kg - m 3 and density of hydrogen -0-081 kg - m 3 at room temperature- What is the maximum weight this balloon can lift-

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Standard IX

Physics

Why Objects Float or Sink

What is the u...

Question

What is the up thrust experienced by a balloon of volume 120 $m^{3}$ filled with hydrogen. The density of air = 1.140 $\frac{k g}{m^{3}}$ and density of hydrogen = 0.081 $\frac{k g}{m^{3}}$ at room temperature. What is the maximum weight this balloon can lift?

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Solution

Let densities of air and hydrogen be $ρ_{a i r}$ =1.14 and $ρ_{h y d r o g e n}$ =0.081 respectively.

Let volume of balloon V= 120 $m^{3}$

Net force on it = Bouyant Force – Gravitational Force

= V $ρ_{a i r}$ g - V $ρ_{h y g r o g e n}$ g

= V( $ρ_{a i r}$ - $ρ_{h y g r o g e n}$ )g

= V(1.14-0.081)g

=120(1.14-0.081)(9.81)

=1246.6 N

This is the maximum weight that can be carried by balloon.

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What is the up thrust experienced by a balloon of volume 120m3 filled with hydrogen. The density of air = 1.140 kgm3 and density of hydrogen = 0.081kgm3 at room temperature. What is the maximum weight this balloon can lift?

What is the up thrust experienced by a balloon of volume 120 $m^{3}$ filled with hydrogen. The density of air = 1.140 $\frac{k g}{m^{3}}$ and density of hydrogen = 0.081 $\frac{k g}{m^{3}}$ at room temperature. What is the maximum weight this balloon can lift?