Suppose you have 10 helium-filled party balloons tied to a digital camera, so you can take photos of the core of a storm. With 10 balloons the camera will slowly but surely rise. As a storm approaches the atmospheric pressure drops. Assuming the air temperature and density are the same, the volume of each balloon will increase. When you let go, the speed of ascent will be

Answers

Answer 1

Answer:

 a = 10 ρ_air g [tex]\frac{\Delta P}{m P_o}[/tex]

Explanation:

Let's solve this problem in parts, with the initial data the camera rises slowly, so we can assume that at constant speed, we apply the equilibrium condition

         B - W = 0

The thrust is given by Archimedes' law

         B = rho_aire g V_body

The volume of the body can be found from the ideal gas ratio

         P V = n R T

let's use the subscript "o" for the initial concisions

         V₀ = (nR) T₀/P₀               1

we substitute

          10 ρ_air g (nR) T₀ /P₀ = W

when the storm approaches the pressure decreases, P

       

If we use the ideal gas equation

           V = (nR) T₀ / P

we combine this equation with equation 1

            V = V₀P₀ / P

if we write the pressure

             P = P₀ -ΔP

             

we substitute

            V = [tex]\frac{V_oP_o}{P_o - \Delta P} =V_o \ ( 1 - \frac{\Delta P}{P_o} )^{-1}[/tex]

we expand serie  and eliminate higher order terms

            V = V₀ ([tex]1+ \frac{\Delta P}{Po}[/tex])

with this expression we can write the thrust

             B = B₀ + ΔB

               

Newton's second law for the new conditions is

             B - W = m a

             (B₀ + ΔB) - W = ma

              ΔB = m a

              a = ΔB / m

              a = 10 ρ_air g [tex]\frac{\Delta P}{m P_o}[/tex]

This is the initial acceleration of the camera


Related Questions

Do any of y’all know the answer to this? Please help, I’ve been stuck on this question forever

Answers

Answer:

I think it's B , maybe wrong tho....

A cyclist rides at an average speed of 1.9 m/s for 3h 30min. How many kilometers does he travel

Answers

Distance= Speed x Time Distance= 1.9m/s x 3.5h= 6.5km

I think this is right and I hope this helped you! :)

Electrical current is the flow of ____________
A) helium
B) protons
C) atoms
D) electrons

How much voltage is required to make 0.56 A flow through a 72-ohm resistance? [V = I x R]
A)48 V
B)36 V
C)40 V
D)52 V
WILL GIVE BRAINLIEST!!!

Answers

Solution :

A) Electric current is the flow of electrons .

B) We know, by ohm's law :

V = I × R

Putting given values in above equation, we get :

V = 0.56 × 72 V

V = 40.32 V

Hence, this is the required solution.

Two identical spheres a and b carry charges of +0.6 coulomb and -0.2 coulomb, respectively. If these spheres touch, the resulting charge on the first sphere will be...
A) + 0.8 C
B) + 0.2 C
C) - 0.3 C
D) + 0.4 C

Answers

The answer is D because when the positive charged side touches the negative charged side it nullifys part of the positively charged side, basically subtraction from my understanding?

How much energy is transferred in 10 seconds with a current of 13 amperes and a potential difference of 230 volts?​

Answers

29900 J

Explanation:

Recall that

P = VI

= (230 volts)(13 A)

= 2990 watts

Also,

E = Pt

= (2990 watts)(10 s)

= 29900 J

A ball of 10kg falls from rest from a height of 150m, Neglating air resistance, calculate its kinetic energy after falling a distance of 40m. Take g=10m/s

Answers

Answer: [tex]3920\ J[/tex]

Explanation:

Given

mass of ball m=10 kg

It is placed at a height of 150 m

It is dropped from the height and allowed to free fall for 40 m

Velocity acquired by the ball during this fall is given by [tex]v^2-u^2=2as[/tex]

Insert u=0, a=g

[tex]\Rightarrow v^2-0=2\times 9.8\times 40\\\Rightarrow v=\sqrt{784}\\\Rightarrow v=28\ m/s[/tex]

Kinetic energy at this instant

[tex]K.E.=\dfrac{1}{2}\times 10\times 28^2\\\\\Rightarrow K.E.=3920\ J[/tex]

what is the power of a student that has done a work of 10 joules in 10 seconds​

Answers

Answer:

1 Watt

Explanation:

P=W/t

P=10/10

P=1 Watt

I WILL MARK YOU THE BRAINLIEST NO LINKS
What type of friction is acting on the airplane?
sliding friction
static friction
fluid friction
rolling friction

Answers

Answer:

I believe it's sliding friction.

Explanation:

Mark was traveling at 40 mph on a road with a drag factor of 0.85. His brakes were working at B0o/o efficiency. To the nearest tenth of a foot, what would you expect the average length of the skid marks to be if he applied his brakes in order to come to an immediate stop

Answers

The average length of the skid marks to be if he applied his brakes in order to come to an immediate stop is 78.43 ft.

The given parameters:

Speed of Mark, v = 40 mphDrag factor, F = 0.85Working efficiency of the brake, n = 80%

The average length of the skid marks to be if he applied his brakes in order to come to an immediate stop is calculated as follows;

[tex]v = \sqrt{30 D fn} \\\\40 = \sqrt{30 \times D \times 0.85 \times 0.8} \\\\40 = \sqrt{20.4 D} \\\\40^2 = 20.4D\\\\1600 = 20.4 D\\\\D = \frac{1600}{20.4} \\\\D = 78.43 \ ft[/tex]

Thus, the average length of the skid marks to be if he applied his brakes in order to come to an immediate stop is 78.43 ft.

Learn more about length of a skid mark here: https://brainly.com/question/16914218

Physicist ____ was found to have completely made up some of the data on which his astounding discoveries were made.

Answers

Answer:

Jan Hendrik Schön I believe

As shown in the diagram below, a 1 kg rock tied to a rope is
swung by a boy. This rock has a constant speed of 5 m/s,
and the length of the rope is 1 m. The rock's angular
momentum is

Answers

Answer:

Explanation:

Angular momentum has a formula of L = mvr. Fillingin:

L = (1.0)(5.0)(1.0)

L = 5.0 kg*m/s

a box of mass 4kg slides on the horizontal surface with kinetic frictional force of 8N. what coefficient of friction between the box and horizontal surface​

Answers

Answer:

ų=0.8

Explanation:

F=mg

F=4×9.81=39.24N

Ff=Fn-F

=39.24-8=31.24

ų=Ff÷Fn

=31.24÷39.24

=0.8

Weathering of rocks can occur in many ways. In the western United States, strong winds can erode huge rock formations by blowing millions of tiny grains of sand at these rocks. Which term accurately describes this type of weathering?

A. Thermal
B. Chemical
C. Physical
D. Meteorological

Answers

The answer is C Physical because it is not a chemical reaction
c, cause i’m smart and give me brainliest

HELP ME ASAP I WILL MARK YOU THE BRAINLIEST NO LINKS

Answers

Answer:

rolling friction is the lady in the forest

static friction is the man pushing the fridge

sliding friction is the snow kid

and fluid fraction is the bird I'm pretty sure

1. Static Friction
2. Sliding Friction
3. Fluid Friction
4. Rolling Friction

I don’t know if im fully correct, correct me if im wrong. Thanks!:)

What would happen to the distance between the bright fringes produced by a diffraction grating if the entire interference apparatus (light source, grating, and screen) were immersed in water

Answers

Answer:

Since the wavelength would be reduced by the factor of N where N is the index of refraction, fringes would be be closer to one another.

(Similar to the difference of fringes of red light and blue light.)

_____ Rocks are porous.

A) Sedimentary
B) Metamorphic
C) igneous

Answers

Answer:

Sedimentary rocks are porous.

Explanation:

So option A) Sedimentary is your answer. Have a great summer

Reason whether or not work is done in the following cases:
A. a basketball player shoots a free throw.
B. a peasant pulls a rope tied to a donkey without being able to displace it from its position.​

Answers

Answer:

A work is done because the object moved

B no work is done because the donkey didnt move

Explanation:

what is point mutation ?​

Answers

Answer:

A point mutation or substitution is a genetic mutation where a single nucleotide base is changed, inserted or deleted from a DNA or RNA sequence of an organism's genome.

Hope it helps u

walk done in units time is called​

Answers

Answer:

Explanation:

work done per unit time is caleed power.it's SI unit is watt.it depends upon time.

Plz I need help with this work
sheet​

Answers

Answer:

do it your self

Explanation:

Pea plant clones are given different amounts of water for a three-week period. The first pea plant receives 400 milliliters a day. The second pea plant receives 200 milliliters a day. The third pea plant receives 100 milliliters a day. The fourth pea plant does not receive any extra water: the plant only receives natural ways of receiving water. The heights of the pea plants are recorded daily.

IV ________________________________


DV_______________________________

Answers

Answer:

3

Explanation:

m = [1/√1-(v/c) 2 ]mo
An object whose rest mass is 2.0kg is accelerated to 0.9c. What is its relativistic mass?

Answers

Relativistic kinetic energy is KErel = (γ − 1)mc2. γ=1+1v22c2 γ = 1 + 1 v 2 2 c 2 . A binomial expansion is a way of expressing an algebraic quantity as a sum of an infinite series of terms.

Hope This Helps You

1. I get so much energy when I eat candy! What type of energy is this statement referring to?
O mechanical
O kinetic
O potential
O chemical

Answers

The answer is chemical

When red light and green light are mixed, the color created is

Answers

Answer:

blue lighp

Explanation:

Electronic flash units for camera contain a capacitor for storing the energy used to produce the flash. In one such unit, the flash lasts for 1675s with an average light power output of 2.70 x 105 W . (a) If the conversion of electric energy to light is 95% efficient ( the rest of the energy goes to thermal energy), how much energy must be stored in the capacitor for one flash

Answers

Answer:

420J

Explanation:

Power is the time rate of change in energy. Power is the ratio of energy to time. The S.I unit of power is in watts.

Given that the flash lasts for 1/675 s, power output is 2.7 * 10⁵ W. Hence:

Power = Energy / time

Substituting:

2.7 * 10⁵ W = Energy / (1/675)

Energy = 2.7 * 10⁵ W * 1/675 = 400J

Therefore the energy emitted as light is 400J.

Since the conversion of electric energy to light is 95% efficient, hence the energy stored as electrical energy is:

Energy(capacitor) = 5% of 400J + 400J = 0.05*400 + 400

Energy(capacitor) = 420J

Please hurry Describe why electric currents can be dangerous

Answers

Answer:

Cardiac Arrest, burns, and nerve damage.

Explanation:

Basically, the main risk is cardiac arrest, caused by the electric current interfering with the normal operation of the heart muscle. Other possible damages are burns due to the electric energy vaporizing the water inside the cells, and nerve damage caused by excessive current through the nerves.

A car initially at rest undergoes uniform acceleration for 6.32 seconds and covers a distance of 120 meters. What is the approximate acceleration of the car?

Answers

Answer:

Explanation:

The equation for acceleration is

[tex]a=\frac{v_f-v_0}{t}[/tex]. We have the initial velocity since we are told that the car started from rest. What we don't have is the final velocity. But we can find it because we were told that the car undergoes uniform acceleration, so the equation

d = rt will give us that final velocity.

120 = r(6.32) so the velocity or rate of the car is

r = 19 m/s. Plug that in to find the acceleration of the car:

[tex]a=\frac{19-0}{6.32}[/tex] so

a = 3.0 m/s/s

A car is traveling at a speed of 20m/s and has a mass of 1200kg how much kinetic energy does it have

Answers

Answer:

Explanation:

The formula for Kinetic Energy is

[tex]KE=\frac{1}{2}mv^2[/tex]. Filling in:

[tex]KE=\frac{1}{2}(1200)(20)^2[/tex] It looks like we only need 1 significant digit here but I'll give you 2 and you can round how you want.

KE = 2.4 × 10⁵ J

A truck starts from rest with an acceleration of 0.3 m/ S^2 find its speed in km/h when it has moves through 150 m​

Answers

Answer:

9.5 m/s

Explanation:

Distance, S = 150m

Acceleration, a = 0.3 m/s^2

Initial velocity, u = 0 m/s

Final velocity, v

Use kinematics equation

v^2 - u^2 = 2aS

v^2 - 0 = 2*0.3*150 = 90

v = sqrt(90) = 9.49 m/s

If a positively charged rod is brought near the knob of a positively charged electroscope, the leaves of the electroscope will...
A) converge, only
B) diverge, only
C) first diverge, then converge
D) first converge, then diverge

Answers

I think it’s gonna be A.

Answer:

B

Explanation:

if a positively charged rod is brought near the knob of a neutral electroscope, it will attract some electrons up from the leaves onto the knob. That process causes both of the leaves to be positively charged (excess protons), and the leaves will diverge.

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