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Lelu [443]
3 years ago
5

A spherical weather balloon is filled with hydrogen until its radius is 4.40 m. Its total mass including the instruments it carr

ies is 19.0 kg. (a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m3. kN (b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground? kN (c) Why does the radius of the balloon tend to increase as it rises to higher altitude?
Physics
1 answer:
ipn [44]3 years ago
5 0

Answer:

4515.49484 N

4329.10484 N

Explanation:

r = Radius of balloon = 4.4 m

m = Mass of balloon with instruments = 19 kg

g = Acceleration due to gravity = 9.81 m/s²

Volume of balloon

v=\frac{4}{3}\pi r^3\\\Rightarrow v=\frac{4}{3}\pi 4.4^3\\\Rightarrow v=356.8179\ m^3

The Buoyant force = Weight of the air displaced

F=\rho vg\\\Rightarrow F=1.29\times 356.8179\times 9.81\\\Rightarrow F=4515.49484\ N

The buoyant force acting on the balloon is 4515.49484 N

Net force on the balloon

F_n=F-W\\\Rightarrow F_n=4515.49484-19\times 9.81\\\Rightarrow F_n=4329.10484\ N

The net force on the balloon is given by 4329.10484 N

As the balloon goes up the pressure outside reduces as the density of air decreases while the air pressure inside the balloon is high hence, the radius of the balloon tend to increase as it rises to higher altitude.

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An elevator is pulled up by a cable with a force of 65,000 N. The upward acceleration of the elevator is 1.8 m/s/s. What is the
goblinko [34]

Answer:

36111 kg

Explanation:

Given

Force = 65000N

Acceleration = 1.8m/s²

Required

Determine the mass of the elevator

This question will be answered using the following Force formula.

Force = Mass * Acceleration

Substitute values for Force and Acceleration

65000N = Mass * 1.8m/s²

Make Mass the subject

Mass = 65000N/1.8m/s²

Mass = 36111.11 kg

From the list of given options, option E answers the question.

6 0
3 years ago
What simple machine makes up most of the joints in your body
Vladimir [108]
Levers
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3 years ago
Bicyclists in the Tour de France do enormous amounts of work during a race. For example, the average power per kilogram generate
disa [49]

Answer:

E=1760.93 cal

Explanation:

a) First we find the total time

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t=189000/12.5

t=15120 seconds

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E=t*W

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3 0
3 years ago
In reaching her destination, a backpacker walks with an average velocity of 1.34 m/s, due west. This average velocity results be
Ivanshal [37]

We can define average velocity as:

av = (total distance travelled)/(total time)

Only using the above equation, we will find that she walked 807.3m due east.

<em>The given information is:</em>

The average velocity is 1.34 m/s due west.

(we can define west as the positive side and east as the negative side).

We know that first, she hikes 6.44km due west with an average velocity of 2.68 m/s.

To get the total time it took we write the equation:

2.68 m/s = (6,440m)/(time)

time = 6,440m/(2.68 m/s) = 2,402.9 seconds.

Then she hikes a distance D due east with an average velocity of 0.447 m/s, because she goes due east, we will write -D in the equations.

Now using the same equation as before, we can get the time as:

time' = -D/(-0.447 m/s) = D/(0.447 m/s)

Now the equation for the total average velocity will be:

1.34 m/s = (6,440m - D)/(2,402.9 s +  D/(0.447 m/s))

Now we need to solve this for D.

(1.34 m/s)*(2,402.9 s +  D/(0.447 m/s)) =  (6,440m - D)

(1.34 m/s)*(2,402.9 s) + (1.34 m/s)*(D/(0.447 m/s) =6,440m - D

(1.34 m/s)*(D/(0.447 m/s) + D = 6,440m - (1.34 m/s)*(2,402.9 s) = 3,229.1 m

D*(1 + (1.34m/s)/(0.447 m/s)) = 3,229.1 m

D*4 = 3,229.1 m

D =  3,229.1 m/4 = 807.3 m

We can conclude that she walked 807.3m due east.

If you want to learn more, you can read:

brainly.com/question/862972

8 0
3 years ago
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bagirrra123 [75]
Data:

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Q = 4 </span>μC → Q = 4*10^{-6}
e = 1,6 * 10 ^{-19}C
n = ?<span>

We have:
</span>Q = n*e
n =  \frac{Q}{e}
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n = 2,5*10^{-6+19}
\boxed{n = 2,5*10^{13}electrons}
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3 years ago
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