A hot-air balloon is ascending at a rate of 7.5m/s when a passenger drops a camera. If the camera is 27m above the ground when its dropped, how much time does it take for the camera to reach the ground? What is its velocity just before it lands?

Answers

Answer 1

Answer:

v_{f}=21.75[m/s] (velocity just before it lands)

t = 2.98 [s]

Explanation:

The key to solving this problem is the initial velocity since when the camera falls it is moving up, we will take this velocity as negative and the acceleration gravitation down as positive.

We will use the following equation of kinematics to solve this problem.

[tex]V_{f}^{2} =V_{o}^{2}+2*g*y[/tex]

where:

Vf = final velocity [m/s²]

Vo = initial velocity = 7.5 [m/s]

g = gravity acceleration = 9.81 [m/s²]

y = elevation = 27 [m]

[tex]v_{f}^{2} = - (7.5)^{2} +(2*9.81*27)\\ v_{f}^{2} = 473.5\\v_{f}=\sqrt{473.5}\\v_{f}=21.75[m/s][/tex]

Now using the following equation of kinematics, we can calculate the time that the fall lasts.

[tex]v_{f}=v_{o}+g*t[/tex]

[tex]21.75 = -7.5 +9.81*t\\9.81*t = 29.25\\t = 2.98[s][/tex]


Related Questions

Ana vive a 3 km del instituto y María en la misma carretera, 500 m. Más lejos. Todas las mañanas, a las ocho y cuarto, cogen la bici para ir a clase. Ana pedalea a 6 m/s y María a 8 m/s. A) ¿Cuándo y dónde se encuentran? B) A que velocidad tendría que pedalear Ana como mínimo para que María no la alcanzase antes de llegar al instituto

Answers

Answer:

A) Ana y María e encuentran a las 8 hs 19 minutos 10 segundos (250 segundos después).

María y Ana  se encuentran cuando aún faltan 1500 metros para llega al instituto.

B) Ana tendría que pedalear como mínimo para que María no la alcanzase antes de llegar al instituto a una velocidad de 6.857 [tex]\frac{m}{s}[/tex].

Explanation:

A) Un movimiento es rectilíneo cuando un objeto describe una trayectoria recta, y es uniforme cuando su velocidad es constante en el tiempo. En otras palabras, el Movimiento Rectilíneo Uniforme es una trayectoria recta, su velocidad es constante y su aceleración es nula.

Para una posición inicial x0 y una velocidad v que tiene el cuerpo a lo largo del movimiento,  la posición para cualquier tiempo está dada por:

x(t)= x0 + v*t

Estableciendo el origen de referencia en el instituto, se tienen los siguientes valores:

x0ana= 3 km= 3000 mx0maria= 3500 m

Por otro lado, Ana pedalea a 6 m/s y María a 8 m/s.

Entonces, como Ana y María se acercan al origen de referencia, la escuela, se la ecuación del movimiento para cada una de ellas es:

xana= 3000 - 6*txmaria= 3500 - 8*t

Ambas se encuentra cuando la posición de ellas sea la misma, esto es xana=xmaria. Entonces:

3000 -6*t= 3500 - 8*t

Resolviendo:

-6*t + 8*t= 3500 - 3000

2*t= 500

t= 500÷2

t=250 s= 4 minutos 10 segundos

Ana y María se encuentran a las 8 hs 19 minutos 10 segundos (250 segundos después).

Para conocer la posición en la que se encuentran debes sustituir el tiempo en la ecuación del movimiento de alguna de ellas:

xana=3000 - 6*250

xana= 1500 m

Es decir, María y Ana  se encuentran cuando aún faltan 1500 metros para llega al instituto.

B) Para que esto ocurra Ana y María deben llegar al instituto al mismo tiempo. Entonces, el tiempo que tarda María en llegar a al origen de referencia, la escuela, es:

0= 3500 - 8*t

Resolviendo:

3500=8*t

3500÷8= t

437.5 segundos= t

Así que, si Ana 437.5 segundos o menos, María no la alcanzaría. Siendo la velocidad la relación entre el espacio recorrido por un objeto y el tiempo empleado para ello, entonces la velocidad de Ana se calcula como:

[tex]velocidad=\frac{distancia}{tiempo}[/tex]

[tex]velocidad=\frac{3000 metros}{437.5 segundos}[/tex]

velocidad= 6.857 [tex]\frac{m}{s}[/tex]

Ana tendría que pedalear como mínimo para que María no la alcanzase antes de llegar al instituto a una velocidad de 6.857 [tex]\frac{m}{s}[/tex].

The Federalists and Anti-Federalists argued primarily over which issue?

Answers

Both the Federalists and the Anti-Federalists were concerned with the preservation of liberty, however, they disagreed over whether or not a strong national government would preserve or eventually destroy the liberty of the American people
the range of power handed to the national government

1 pts
Question 13
Which statement best describes the consequences of a plant's leaf cells suddenly losing their
chloroplasts?
The leaf cells would divide rapidly.
The leaf cells would evolve into animal cells.
The leaf cells wouldaccumulate too much food and convert it to starch.
The leaf cells would be unable to convert the sun's energy to make food.
Question 14
1 pts

Answers

Answer:

The leaf cells would be unable to convert the sun's energy to make food.

Explanation:

The chloroplast in the leaf are used to make food for the plant. If the leaf loses its chloroplast, the leaf with not be able to use solar energy to manufacture their food.

During photosynthesis, green plants manufacture their food. They use sunlight to cause a reaction between carbon dioxide and water. The sunlight is trapped using chlorophyll present in the leaf. In the absence of the chlorophyll contained in the chloroplast, no solar energy would be generated to cause the reaction to take place.

You drop a lead fishing weight and a filled water balloon. Which do you expect to fall faster?

Answers

I believe they should fall at the same pace.

in which sample of water do the water particles have more energy: 5g of ice cubes at -10 OC, or 5 g of liquid water at 20 0C? Explain

Answers

since q=mct, and q is heat ENERGY, masses and specific heat are equal, Temperature is the determining factor here. So as the equation suggests, liquid water has more energy as it contains more heat energy.

Which of the following is the equation for calculating daily caloric needs? A. BMR calories + Digestion calories B. BMR calories + Activity Level calories + Digestion calories C. BMI + Activity Level calories D. Activity Level calories + Digestion Calories

Answers

Explanation:

To determine your total daily calorie needs, multiply your BMR by the appropriate activity factor, as follows: If you are sedentary (little or no exercise) : Calorie-Calculation = BMR x 1.2. If you are lightly active (light exercise/sports 1-3 days/week) : Calorie-Calculation = BMR x 1.375.

HAPPY TO HELP

Energy is measured in form of calories.

What is energy?

Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.

To determine your total daily calorie needs, multiply your BMR by the appropriate activity factor, as follows:

If you are sedentary (little or no exercise) :

Calorie-Calculation = BMR x 1.2.

If you are lightly active (light exercise/sports 1-3 days/week) :

Calorie-Calculation = BMR x 1.375

Energy is measured in form of calories.

To learn more about energy refer to the link:

brainly.com/question/1932868

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A 62Kg rock climber is attached to a rope that is allowing him to hang horizontally with his feet against the wall. The tension of the rope is 7.1x10^2 N, and the rope makes an angle of 32 degrees with the horizontal. Determine the force exerted by the wall on the climber's feet? I need some help with understanding the problem through a FBD as well as how I will find the x and y components. Thank You !

Answers

Answer:

R= 602 .11 N

Explanation:

The horizontal component of tension T will give reaction of the wall and the vertical component of T will balance the weight of of the climber .

T cos32 = R

710 x .848 = R

R= 602 .11 N .

Can somebody help me with this carbon nuclides question please?

Answers

Answer:

isotopes

Explanation:

because all of them have the same proton number which is the atom of the same element

How much does the force increase if each mass is doubled?

Answers

Answer:

The force will also double

Explanation:

A plane travels down a runway 2750 m before it lifts off at an angle of 37 degrees from the horizontal. The plane has traveled 1.8 km since its wheels left the ground. What is the displacement of the plane?

Answers

Answer: 4.236km

Explanation:

Let's define the point (x, y) as:

x = horizontal distance moved.

y = vertical distance moved.

If the plane starts in the point (0, 0) then:

"A plane travels down a runway 2750 m before it lifts off..."

At this time, the position will be:

P = (0 + 2750m, 0) = (2750m, 0).

"it lifts off at an angle of 37 degrees from the horizontal. The plane has traveled 1.8 km since its wheels left the ground."

In this case, as the angle is measured from the horizontal, the components will be:

x = 1.8km*cos(37°) = 1.438km

y = 1.8km*sin(37°) =  1.083 km

Then the new position is:

P = (2750m + 1.438 km, 0 + 1.083 km)

Let's write it using the same units for all the quantities:

we know that

1km = 1000m

Then:

2750m = (2750/1000) km = 2.750 km.

Then we can write the new position as:

P = (2.750 km + 1.438km, 1.083km) = (4.188km, 1.083km)

Now, we define the displacement as the distance between the final position and the initial position.

The distance between two points (a, b) and (c, d) is:

D = √( (a  c)^2 + (b - d)^2)

In this case the points are:

(0, 0) for the initial position

(4.188km, 1.083km) for the final position.

And the displacement will be:

D = √( (4.188km - 0)^2 + (1.083 - 0)^2) = 4.236km

While traveling along a highway a driver slows from 34 m/s to 15 m/s in 12 seconds. What is the automobile’s acceleration? (Remember that a negative value indicates a slowing down or deceleration.

Answers

Answer:

a=-1.58 m/s^2

Explanation:

Vo=34m/s

Vf=15m/s

t=12s

a= dV/dt = (Vf-Vo) /t = (15-34)/12

= - 19/12 = - 1.58m/s2

The equation F = M x a represents

A. Newton’s third law
B. Newton’s first law
C. Newton’s second law

Answers

Answer:

it C

Explanation:

and have a good day :)))

Answer : (c) Newton's second law

The formula (F = m x a) comes under Newton's second law of motion, which revolves around the concept of momentum and force.

A jet plane flies at a velocity of 200 m/s, east in still air. a) If it flies into a 20 m/s wind heading west, what is its velocity relative to the ground? b) If it flies into a 20 m/s wind heading east, what is its velocity relative to the ground?

Answers

Answer:

Explanation:

a) If it flies into a 20 m/s wind heading west

The wind blows against the velocity of plane

resultant velocity = 200 - 20 = 180 m /s

velocity relative to ground = 180 m /s

b ) If it flies into a 20 m/s wind heading east,

wind will support the velocity of plane

resultant velocity = 200 + 20 = 220 m /s .

velocity relative to ground  = 220  m /s .

Answer:

so mas o menos

Explanation:

a) If it flies into a 20 m/s wind heading west

The wind blows against the velocity of plane

resultant velocity = 200 - 20 = 180 m /s

velocity relative to ground = 180 m /s

b ) If it flies into a 20 m/s wind heading east,

wind will support the velocity of plane

resultant velocity = 200 + 20 = 220 m /s .

velocity relative to ground  = 220  m /s .

6. What is fuel needed for in space?
7. Could a rocket traveling at a speed of
10,000 km/h get into space? Explain.
8. Why is thrust also known as the
reaction force?
9. Why does a rocket not need to burn
fuel to keep moving once it is in space?

Answers

6. fuel is needed in space to power certain things like engines.

7. It couldn't, as the lowest speed acceptable to get into space is 7.9 km per second (28,440 km per hour). This is because to break into the barrier that no longer contains oxygen, you would need to be going at an extremely fast rate.

8. It involves Newton's 3rd law. The movement requires that same thrust to be thrown back, also.

9. There is no gravity. So, basically, you just float.

Whats the cell that’s based on that persons sex

Answers

Answer:

gamete i think

A car runs for about 10 years during its average useful life. If the odometer reads 120,000 miles at the end, what was the average speed of the car in mph

Answers

Answer:

12000 mph

Explanation:

Given that,

Distance read by the odometer = 120,000 miles

Duration of car, t = 10 years

We need to find the average speed of the car. Speed of an object is equal to the total distance covered divided by total time taken. So,

[tex]v=\dfrac{120000}{10}\\\\=12000\ mph[/tex]

So, the average speed of the car is 12000 mph.

Hallar la fuerza eletrica ejercida entre 2 cargas iguales de magnitud 1c separado en el aire una distancia de 1km Cual es el resultado? 1. (2,3*10^-8new) 2. (8,1*10^-6new) 3. (3,2*10^-8new)

Answers

Answer:

La fuerza eléctrica ejercida entre 2 cargas iguales de magnitud 1 C separado en el aire una distancia de 1 km es 9,000 N.

Explanation:

La ley de Coulomb se utiliza para calcular la fuerza eléctrica que actúa entre dos cargas en reposo. Es decir, esta ley permite predecir la fuerza electrostática de atracción o repulsión existente entre dos partículas según su carga eléctrica y la distancia entre ellas.

La fuerza eléctrica con la que dos cargas puntuales son atraídas o repelidas en reposo es directamente proporcional a su producto e inversamente proporcional al cuadrado de la distancia que las separa, expresada como:

[tex]F=k*\frac{q1*q2}{d^{2} }[/tex]

donde:

F es la fuerza eléctrica de atracción o repulsión. En el S.I. se mide en Newtons (N). q1 y q2 son lo valores de las dos cargas puntuales. En el S.I. se miden en Culombios (C). d es el valor de la distancia que las separa. En el S.I. se mide en metros (m). k es una constante de proporcionalidad llamada constante de la ley de Coulomb. Depende del medio en el que se encuentren las cargas. En concreto para el vacío k es aproximadamente 9*10⁹ N·m²/C² utilizando unidades en el S.I.

En este caso:

q1= 1 Cq2= 1 Cd= 1 km= 1,000 m

Reemplazando:

[tex]F=9*10^{9} \frac{N*m^{2} }{C^{2} } *\frac{1 C* 1 C}{(1,000 m)^{2} }[/tex]

Resolviendo obtenes:

F= 9,000 N

La fuerza eléctrica ejercida entre 2 cargas iguales de magnitud 1 C separado en el aire una distancia de 1 km es 9,000 N.

please help!!!!

What are the mass and weight of a 50 kg stone on planet Earth?

Answers

Answer:

500 Newtons

Explanation:

Mass of the stone = 50 kg

Acceleration caused due to gravity on Earth (g) = 9.81 m/s^2 = 10 m/s^2

We know that,

F=ma

Hence,

W=mg

So,

The weight of the stone on Earth = 50 * 10 = 500 Newtons


When the cornea and lens of the eye do not properly focus
light onto the retina, corrective lenses are needed. When are concave lenses
appropriate for vision correction?

Answers

Answer:

When there is nearsightedness or myopia

Explanation:

As, in myopia the image is formed in front of the retina.

Which makes things looking at things near very easy, but looking at far away things very difficult.

So concave lens makes things look bigger, so therefore, it is used during myopia, to make things look bigger when they are far away

Two cars, initially 12 meters apart, zip towards one another at the speeds shown. At what point will the collision occur? Explain how you arrived at your answer. Car A: 1.4m/s car B: 2.2m/s

Answers

Answer:

s₁ = 4.67 m from car A

Explanation:

Since, the cars are moving at a constant speed. Hence, we will apply the equation for uniform motion here:

s = vt

where,

s = distance covered

v = velocity

t = time taken

For Car A:

s₁ = (1.4 m/s)t

For Car B:

s₂ = (2.2 m/s)t

Because the time will be same at the collision. At collision the distance covered by Car A and Car B must be 12 m altogether. Hence:

s₁ + s₂ = 12 m

using values:

(1.4 m/s)t + (2.2 m/s)t = 12 m

t = 12 m/3.6 m/s

t = 3.333 s

Substitute this in the equation of s₁:

s₁ = (1.4 m/s)(3.33 s)

s₁ = 4.67 m from car A

you are flying on an airplane and you overhear two pasengers comment that flight attendants must be very skiled, one says "when the flight attendants pour coffee they must take into account the forward motion of the airplane and pour the coffee in frount of the cup so that it will land in the cup." The other passenger replies, "flight attendants must have to study the laws of motion as part of their training!" What would Isaac Newton say about this conversation? Ik that was long but ill make it worth a lot of points for your trouble.

Answers

How do you get out of a room with only a mirror and a table?

Look in the mirror you see what you saw, use the saw to cut the table, half and half makes a hole, jump in it.

Thought you would like that.

Four forces are exerted on an object as shown below: A square is shown with an arrow pointing up labeled 3 N, an arrow pointing right labeled 2 N, an arrow pointing down labeled 4 N and an arrow pointing left labeled 2 N In which direction will the object move? Up Down Left Right

Answers

Answer:— A square labeled Object B is shown with an arrow pointing up labeled 3 N, an arrow pointing right labeled 2 N, an arrow pointing down labeled 3 N and an arrow pointing left labeled 1 N. In which direction will the objects move? Object A will move down and Object B will move up.

Explanation:

Answer:

The answer is down.

Explanation:

The forces on the left and right sides are balanced forces making the object not move in left or right directions. The force on the object is also shown to be 4N down and 3N up. The object will move toward the side with more force and that is down.

which substance can be separated by physical means and it is not the same throughout.
A.a compound
B.a heterogeneous mixture
C.an element
D.a homogeneous solution

Answers

Answer:

B. heterogenous mixture

Explanation:

The substance that can be separated by physical means include heterogenous mixtures, where the components forms separate faces. They can be easily separated using methods based on their physical properties.

What is heterogenous mixtures?

Mixtures are combination of two or more individual components mixed physically or through chemical bonds. There are both homogenous and heterogenous mixtures.

In homogenous mixtures all the components are forms a single phase and appear to be one system. For example, salt solution, sugar solution etc. are homogenous mixtures.

In heterogenous mixtures, the components forms different phases which appears to be separated components. They are just physically mixture components and can be easily separated using physical methods.

Find more on heterogenous mixtures:

https://brainly.com/question/29166971

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A 20 kg fish swimming at 2 m/s swallows a 5 kg fish at rest. What is the speed of the large fish after lunch

Answers

Answer:

1.6m/s

Explanation:

Given parameters:

Mass of the big fish  = 20kg

Mass of small fish = 5kg

Speed of big fish  = 2m/s

Speed of small fish = 0m/s

Unknown:

Speed of the large fish after lunch  = ?

Solution:

The momentum of the big fish before and after feeding is conserved.

    Initial momentum  = Final momentum

    m₁v₁ + m₂v₂  = v (m₁ + m₂)

m₁ is mass of the big fish

v₁ is the speed of the big fish

m₂ is mass of the small fish

v₂ is the speed of the big fish

v is the final speed

 Now insert the parameters and solve;

       20 x 2 + 5(0) = v(20 + 5)

              40 = 25v

                v  = [tex]\frac{40}{25}[/tex]   = 1.6m/s

Which image below is the best example of an exothermic reaction?

Answers

Answer:

ion

know man sorry

Explanation:

How far(in meters) will you travel in 3 minutes running at a rate of 6 m/s

Answers

Answer:

1080 meters is the answer

Answer: 1800m or 1.08km

To get this answer you multiply your speed by time which will give you the distance.

A bicycle gear wheel is a disc with 50 ‘teeth' equally spaced around its edge, as shown. The gear wheel is rotated 10 times each second. A springy strip of metal is vibrated by the rotating ‘teeth'. The metal strip produces a sound of frequency that is equal to the frequency of vibration of the strip

Answers

Answer:

0.66m

Explanation:

The question is not complete, here is the complete question, also see attached the image.

"A bicycle gear wheel is a disc with 50 ‘teeth’ equally spaced around its edge, as shown. The gear  wheel is rotated 10 times each second. A springy strip of metal is vibrated by the rotating ‘teeth’.  The metal strip produces a sound of frequency that is equal to the frequency of vibration of the  strip. The speed of sound in air is 330ms–1.  What is the wavelength of the emitted sound?"

given data

number of teeth= 50        

we are told that the gear is rotated 10 times in 1 sec,  

hence the frequency of the rotation past the strip is

=50*10  

=500Hz    

speed of sound= 330m/s

we know that

  [tex]v_w = f \Lambda[/tex]-----------1

where Vw is the speed of sound,

f is its frequency, and

λ is its wavelength.

λ=Vw/f

λ=330/500

λ=0.66m

which is the larger value 5 * 10^5 or 3* 10^7

Answers

Explanation:

5x 10^5= 500,000

3x 10^7= 30,000,000

so the second one

what is the weight of a 75 kg sack of flour on Earth

Answers

75*9.8= 735
Sometimes people say it’s 10 instead of 9.8 so you can say it’s 750 N as well

We have that the weight of a 75 kg sack of flour on Earth is

[tex]W=735.75N[/tex]

From the Question we are told that

Mass =75kg

Generally

The Gravitational pull on earth is approximately

g=9.81

Generally the equation for Weight  is mathematically given as

[tex]W=Mass * gravity[/tex]

[tex]W=735.75N[/tex]

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PLEASE HELP!! ILL MARK BRAINLYEST!!

New substances are produced in a chemical change.


True
False

Answers

The Answer is true hope this helps
Other Questions
I like to eat apples and bananas Please help me with these questions :( 11. A 100-W incandescent light bulb has a cylindrical tungsten filament 30.0 cm long, 0.40 mm in diameter, and with an emissivity of 0.26. (a) What is the temperature of the filament The three angles of a quadrilaterals are 540, 970,860.Find the fourth angle? Answer this question y=x+1Please what is the slope and the y intercept Simplify the expression: (9t+5)+(3t-6) HELPPPP An airplane flies 104 miles in 1/2 hour how far can it fly in 1 1/4 hours at the same rate of speed Each pure substance has characteristic physical and chemical properties that can be used to identify it.Compare and contrast physical properties and chemical properties of a substance. Give and example for each: What are the cordinates of the image of the point (11,1)after a translation 10 units down followed by a reflection over the y-axis What effect does the author create as John Messner struggles to maneuver in the unmarked wilderness?A. surpriseB. imageryC. tensionD. irony 11. Describe a time when you have worked with a group of people, such as with students for a school project, with coworkers at a job, or with family members to complete a chore. Describe the dynamics of the group, and then describe at least one way the group dynamics could have been improved. (3-6 sentences) The languages that are spoken in the core region are... Answer this question plz Simplify (-5)^5/(-5)^-6 why would Sojourner Truth remind the audience that women were the reason for human suffering ?a. because she said women made the mess, & the needed to be empowered to clean it upb. because she said men had the ability to allow women civil rights, & they were mean to hold them backc. because she said Jesus forgave mankind & so men must forgive womend. because she said God made women & men, & they are equal in His eyes. men are sinners too Which statements are true about the windmill scene in the excerpt only? Select each correct answer. It is a metaphor for something else. It is mean-spirited and one-sided. It reveals a multidimensional character. It has political overtones. It includes opposing viewpoints. It makes someone look silly. What is the political campaign ad for Instagram explain how the repiratory and the circulatory system work together. To make gas exchange possible. (AKS 3al) Which graph best represents a moving object in a state of equilibriumGraph 1Graph 3Graph 2Graph 4A. Graph 4oB. Graph 2O C. Graph 3D. Graph 1