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

One pot has a water height of 8cm. Calculate the water pressure at the bottom of the pot. They give g = 10N / kg p = 1000kg / m3

Answers

Answer:

P = 800 Pa

Explanation:

The pressure of water at the bottom of the pot can be given by the following formula:

[tex]P = \rho g h[/tex]

where,

P = Pressure at the bottom of the pot = ?

ρ = density = 1000 kg/m³

h = height of water = 8 cm = 0.08 m

Therefore,

[tex]P = (1000\ kg/m^3)(10\ m/s^2)(0.08\ m)[/tex]

P = 800 Pa

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:

Global average temperature increases when energy absorbed by the surface ___?

Answers

Answer:

se elevator a maas eneergia mas alta

-In a series LRC circuit, the frequency at which the circuit is at resonance is f0. If you double the resistance, the inductance, the capacitance, and the voltage amplitude of the ac source, what is the new resonance frequency?

A) 4 f0

B) 2 f0

C) f0

D) f0/2

E) f0/4

Answers

f0=1/sqrt(inductance*capacitance)
So doubling both inductance and capacitance makes the new resonance frequency f0/2

When you double capacitance and inductance, the new resonace frequency becomes f0/2.

Resonance frequency

The resonace frequency of RLC series circuit, is the frequency at which the capacitivity reactance is equal to inductive reactance.

Xc = Xl

[tex]\frac{1}{2\pi f_0C} = 2\pi f_0 L\\\\4\pi^2 f_0^2 LC = 1\\\\f_0^2 = \frac{1}{4\pi^2 LC} \\\\f_0 = \sqrt{\frac{1}{4\pi^2 LC} } \\\\f_0 = \frac{1}{2\pi } \frac{1}{\sqrt{LC} }[/tex]

where;

f0 is the resonace frequencyL is the inductanceC is the capacitance

When you double capacitance and inductance, the new resonace frequency becomes;

[tex]f_0 = \frac{1}{2\pi } \frac{1}{\sqrt{LC} }\\\\f_1 = \frac{1}{2\pi } \frac{1}{\sqrt{2L (2C)} } \\\\f_1 = \frac{1}{2\pi } \frac{1}{\sqrt{4LC} }\\\\f_1 = \frac{1}{2}( \frac{1}{2\pi } \frac{1}{\sqrt{LC} })\\\\f_1 = \frac{1}{2} (f_0)[/tex]

Thus, When you double capacitance and inductance, the new resonace frequency becomes f0/2.

Learn more about resonance frequency here: https://brainly.com/question/9324332

Which change would decrease the total current, I, flowing through this circuit?
A. Increasing the voltage of the battery
B. Decreasing the length of the wires
C. Rewiring the two resistors in a series
D. Adding a third resistor in parallel

Answers

Answer:

A. Increasing the voltage of the battery

Explanation:

The relationship between voltage, V, current, I and resistance, R, is given as follows;

V = I × R

∴ I = V/R

From the above relationship, the current flowing in the circuit is directly proportional to the voltage of the battery, and inversely proportional to the resistance, 'R', of the circuit

Therefore, increasing the voltage, 'V', of the battery, increases the total current, 'I', flowing in the circuit.

1
The distance between objects, along with the masses of the object, affect the gravitational force between the objects. Which
statement is TRUE according to Newton's law of universal gravitation?
O When the masses of objects increase, gravitational force decrease
O When the distance between objects increases, gravitational force decreases.
O When distances between objects decreases, gravitational force decreases
O When the masses of objects decrease, the distance between objects decreases.

Answers

Every object in the universe attracts every other object with a force along a line joining them. The force is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers of mass.

Explain binding energy​

Answers

Answer:

Binding energy is the energy that holds a nucleus together, equal to the mass defect of the nucleus.

Explanation:

Binding energy is energy that holds a nucleus together. It equals to the mass defect of the nucleus.

Warm air is less dense than cold air. The same is true of water. You decide to take a bath and turn on both the hot and cold faucets. When the tub is one-third full, you dip your hand in and discover the water is too cold. You turn the cold water faucet off and keep the hot water turned on. You leave the hot water running for ten minutes. When you return and dip your hand in, you discover that the water in the tub is different temperatures in different places. It is too hot close to the faucet and in a top layer across the entire tub. When you sit down, however, the water in the bottom of the tub is cold. Explain how this happens and why: • how the hot water ended up in a layer on the top and near the faucet. • why this is or is not a transfer of heat. • how the temperature of the water in the tub will change over time. • why you will eventually want to get out of the tub, considering the air and your porcelain enameled steel tub.

Answers

Answer:

Given that the warm water is less dense than the cold water, we have;

The cold water which is more dense than the warm water will remain settled in the lower part of the tub while particles of the less dense warm water will move above the cold water not being able to penetrate lower due of difference in their gravitational potential energiesThis is a case of (lack of) heat transfer due to inability of heat to penetrate into the lower layers and transfer the heat by conduction, from particle to particle, and therefore, one layer, the top remains warm while the other layer, the lower layer, remains coldWith time (over an hour) more and more warm water units will be able to penetrate deeper and make the lower layer warmer while the warm water at the top loses heat by evaporation to the atmosphere, until the entire water reaches equilibriumHeat will continue to be lost by evaporation to the air and by conduction through the porcelain to the steel tub until the water in the tub becomes cold

Explanation:

A car travels from A to B and from B back to A.If the distance between A and B is 12 km and it took 20 minutes to travel full , then the average speed and average velocity of the car is

Answers

Answer:

Average speed = 0, Average velocity = 0.02 m/s

Explanation:

Given that,

A car travels from A to B and from B back to A.

The distance between A and B is 12 km

It took 20 minutes to travel full.

We need to find the average speed and the average velocity of the car.

As the car reaches the point from where it was started, the displacement of the car is equal to 0. As a result, the average velocity is equal to 0.

For average speed,

[tex]s=\dfrac{12+12}{60\times 20}\\\\s=0.02\ m/s[/tex]

Hence, this is the required solution.

Usain bolt ran the 200m race within 19.19 seconds. Calculate the speed of Usain bolt during the race

Answers

Answer: [tex]10.42\ m/s[/tex]

Explanation:

Given

Usain Bolt ran the race with a length [tex]200\ m[/tex]

Time is taken to complete it [tex]t=19.19\ s[/tex]

We know, [tex]\text{Distance}=\text{speed}\times \text{time}[/tex]

Insert the values

[tex]\Rightarrow 200=v\times 19.19\\\\\Rightarrow v=\dfrac{200}{19.19}\\\\\Rightarrow v=10.42\ m/s[/tex]

So, the speed of Usain Bolt is [tex]10.42\ m/s[/tex]

please help with this question​

Answers

the answer is direction

Answer:

This unbalanced force causes her to change in direction.

If the forces on an object are unbalanced, this is what happens:

a stationary object starts to move in the direction of the resultant force

a moving object changes speed and/or direction in the direction of the resultant force

A beam of light shines on a plane mirror with an angle of incidence of 40°. The reflected light then hits another parallel plane mirror. What is the angle of reflection from the second mirror? A. 40° B. 50° C. 80° D. 90° E. 140°

Answers

Answer:

40degrees

Explanation:

Since the mirrors are parallel, the angle of incidence on the first mirror will be the same as the angle of incidence on the second mirror.

Angle of incidence on the second mirror = 40degrees

According to the second law of reflection, the angle of incidence is equal to the angle of reflection. Hence;

angle of incidence = angle of reflection = 40degrees

This shows that the angle of reflection from the second mirror is 40degrees

(answer the question or get reported) Please solve it with the steps thanks :)​

Answers

Answer:

Fx = 35.36 N

Fy = 35.36 N

Explanation:

From the question,

The X component of the force is

Fx = Fcos∅.................. Equation 1

Where Fx = X component of the force, F = Force, ∅ = Angle to the horizontal.

Give: F = 50 N, ∅ = 45°

Substitute into equation 1

Fx = 50(cos45°)

Fx = 50(0.7071)

Fx = 35.36 N

Similarly,

For Y component

Fy = Fsin∅

Where F y = Y component

Fy = 50(sin45°)

Fy = 50(0.7071)

Fy = 35.36 N

ANSWER FAST PLEASE HELP

Answers

Answer:

B. 175 N

Explanation:

Net force can be defined as the vector sum of all the forces acting on a body or an object i.e the sum of all forces acting simultaneously on a body or an object.

Mathematically, net force is given by the formula;

[tex] Fnet = Fapp + Fg[/tex]

Where;

Fnet is the net force

Fapp is the applied force

Fg is the force due to gravitation

In this scenario, we observed that both forces are acting in the same direction.

Therefore:

Net force = 100 N + 75 N

Net force = 175 Newton

Light is electromagnetic radiation composed of electric and magnetic field components. The electromagnetic spectrum includes light with a range of frequencies, wavelengths, and energies. Which type of electromagnetic radiation is highest in energy

Answers

Answer:

Ultraviolet.

Explanation:

Light wave can be defined as an electromagnetic wave that do not require a medium of propagation for it to travel through a vacuum of space where no particles exist. Also, it comprises of electric and magnetic field components.

An electromagnetic spectrum refers to a range of frequency and wavelength that an electromagnetic wave is distributed or extends. The electromagnetic spectrum comprises of gamma rays, visible light, ultraviolet radiation, x-rays, radio waves, and infrared radiation.

Radiation is simply the transmission or emission of energy in the form of particles or electromagnetic waves through a vacuum, material medium or space.

Basically, a type of electromagnetic radiation which is highest in energy is ultraviolet (UV) radiation. Although, ultraviolet (UV) radiation has a smaller wavelength.

If two charged balloons are 10cm apart and they feel a force of electrical repulsion of 20N, what would the force of electrical repulsion become if the balloons were moved apart to a distance of 100cm?

Answers

Answer:

200N

Explanation:

its basic.................

In the diagram, q1 = -3.33*10^-9 C and
q2 = -5.22*10^-9 C. The electric field at
point P is zero. What is the distance
from P to q2?

Answers

Answer:

The distance will be "0.319 m".

Explanation:

The diagram of the given question is not attached with the problem. Below is the attached figure.

The given values are:

[tex]q1 = -3.33\times 10^{-9} \C[/tex]

[tex]q2 = -5.22\times 10^{-9} \ C[/tex]

As we know,

The electric field will be equivalent as well as opposite throughout the direction, then

⇒ [tex]\frac{R.q1}{(0.255)^2} =\frac{R.q2}{r^2}[/tex]

⇒ [tex]r^2=\frac{q2}{q1}\times (0.255)^2[/tex]

By putting the values, we get

⇒      [tex]=\frac{-5.22\times 10^{-9}}{-3.33\times 10^{-9}}\times (0.255)^2[/tex]

⇒      [tex]=1.568\times 0.065[/tex]

⇒  [tex]r^2=0.10193[/tex]

⇒  [tex]r=\sqrt{0.10193}[/tex]

⇒     [tex]0.319 \ m[/tex]    

Moving along the elevtromagnetic spectrum from low frequency to high frequency, what , if anything, happens to the wavelength?

wavelength get longer

wavelength remains constant

the wavelengths get shorter

wavelength eventually disappear altogether

Answers

Explanation:

the wavelengths get shorter

In a recent year, wind machines in a country generated 183.1 billion kWh of electricity, enough to serve over 17 million households. The nation's total electricity production that year was 4,098 billion kWh. What percent of the total energy production was generated by wind machines

Answers

Answer:

The right answer is "4.4%".

Explanation:

Given:

Generated electricity,

= 183.1 billion kWh

Total electricity production,

= 4098 billion kWh

Now,

The wind energy percentage will be:

= [tex]\frac{183.1}{4098}\times 100[/tex]

= [tex]0.0446\times 100[/tex]

= [tex]4.4[/tex] %

I need help in this small question:


(make sure to answer them ALL)

passage: Uranium is a nuclear fuel, it is mined from under the ground.

1- what is nuclear energy

2- is uranium renewable, and why?

Answers

Answer:

1) The energy released during nuclear fission or fusion, especially when used to generate electricity is called nuclear energy.

2) It is not renewable because it is an element that has no way whatsoever to regenerate or replicate itself, nor gets created by any natural terrestrial means, neither makes itself available by arriving from outer space (like sunlight). There is a limited amount of it available on the Earth, and every bit you use is a bit you’ll never have available again (as Uranium atoms get destroyed by the fission process).

Hope this helps You

Please mark as brainliest

Thank You

La resistividad de cierto alambre es 1.72x10 -8 Ωm a 20 oC .Una batería de 6v se conecta a una bobina de 20 m de este alambre, con un diámetro de 0.8 mm. ¿Cuál es la corriente en el alambre?

Answers

Answer:

   i = 1.09 10⁴ A

Explanation:

For this exercise we will look for the resistance of the wire

          R = ρ L / a

the area of ​​the wire is

          a =ππ r² = π πd² / 4

we substitute

         R = ρ L 4 / π d²

          R = 1.72 10⁻⁸   20  4/π 8 10⁻⁴

         

         R = 5.47 10⁻⁴ Ω

to calculate the current we use ohm's law

           V = R i

            i = V / R

            i = 6 / 5.47 10⁻⁴

            i = 1.09 10⁴ A

When will you say a body is in (i) uniform acceleration? (ii) non-uniform
acceleration?

Answers

Answer:

Explanation:

A body is said to be in uniform acceleration if change in velocity with respect to time is the same in equal time interval .

A body is said to be in non uniform acceleration if change in velocity with respect to time is not the same in equal time interval.

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

(GIVE ME THE ANSWER OR YOU'LL GET REPORTED) Can someone answer this for me with the steps tysm​

Answers

Answer:

Direction: north-west (45 degrees)

Magnitude: 500 N

Explanation:

The wind exerts a force upwards, a.k.a. north.

The water exerts a force to the left, or west.

The directions are 90 degrees apart from each other, so the angle of the je force is 45 degrees (north-west).

We can use the Pythagorean theorem to calculate the magnitude.

[tex]a^2+b^2=c^2\\400^2+300^2=250000^2\\\sqrt{250000} = 500N[/tex]

An argon gas occupies 56.2 L at 760 torr. If the volume of gas dereases to 1/4 of the original volume ,calculate its final pressure

Answers

Answer:

3040 torr

Explanation:

Applying,

PV = P'V'..................... Equation 1

Where P = Initial Pressure, V = Initial volume, P' = Final pressure, V' = Final volume.

Make P' the subject of the equation

P' = PV/V'................. Equation 2

From the question,

Given: P = 760 torr, V = 56.2 L, V' = 56.2/4 = 14.05 L

Substitute these values into equation 2

P' = (56.2×760)/14.05

P' = 3040 torr

the magnetic field 0.100 m from a wire is 4.20x10^-5 T. what is the field 0.200 m from the wire

Answers

Answer:

Your answer is given below:

Explanation:

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

Answers

Answer:

blue lighp

Explanation:

During a Buckeye football game, the quarterback throws a ‘long bomb' to a wide receiver. During it's flight, the ball reached a maximum height of 15 m [U] before it started falling back down, and during this time flew 30m [E], where it was caught. The receiver then ran it another 15 m [E] for a touchdown. A) Determine the distance and displacement experienced in the up-down dimension by the ball b) Determine the distance and displacement experienced by the ball in the east-west dimension.

Answers

Answer:

A) The distance traveled by the ball in the Up-down dimension is 30 m

The displacement of the ball in the up-down direction is 0 m

B) The distance the ball travels in the east west direction is 45 m [East]

The displacement of the ball is the east-west direction is 45 m [East]

Explanation:

The long measures of the ball motion are;

The maximum height reached = 15 m Up

The horizontal distance traveled by the ball during flight = 30 m East

The distance the receiver ran  with the ball after the ball was caught = 15 m East

A) The distance traveled by the ball in the Up-down dimension = 15 m up + 15 m backdown = 30 m in the up-down direction

The displacement of the ball in the up-down direction, d = 15 m + (-15 m) = 0 m

B) The distance the ball travels in the east west direction = 30 m [E] + 15 m [E] = 45 [E]

The displacement of the ball is the east-west direction, d = 30 m + 15 m = 45 m [E].

Which of the following statements explains how total time spent in the air is affected as a projectile's angle of launch is increased from 25 degrees to 50 degrees?​

Answers

Answer:

Therefore letter C is the correct answer.

Explanation:

In a projectile motion the total time in the air can be calculated using the following equation:

We analyze the y-component motion.

[tex]v_{fy}=v_{iy}-gt[/tex]

When the final velocity (v(f)) is equal to zero we calculate the upward time and multiplying it by 2 we find the total time in the air. So we will have:

[tex]t_{tot}=2\frac{v_{iy}}{g}[/tex]

[tex]t_{tot}=2\frac{v_{i}sin(\theta)}{g}[/tex]

We can see that the total time is directly proportional to the angle, then when θ increase t increase.

Therefore letter C is the correct answer.

I hope it helps you!  

Follow-up Questions
1.
How much stress do you think?​

Answers

Lots of stress I think
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