A hot air balloon hovers at 92.4 m above the ground. The pilot drops a box over the edge of the basket. How fast does the person standing 10 m away, have to go to catch the box, before it hits the ground?

Answers

Answer 1

Answer:

The person has to move at the speed of 2.30 m/s towards the dropping point to catch the box.

Explanation:

Let t be the time taken by the box to reach the ground and v be the speed of the person on the ground standing 10 m away from the dropping

point.

As distance=(speed) x (time), so

[tex]10=vt\cdots(i)[/tex]

Initially, the height of the box from the ground is 92.4 m.

So, the displacement, s, covered by the box when it reached the ground,

[tex]s=92.4[/tex] m in the downward direction.

The gravitational force action of the box is also in the downward direction.

The initial velocity of the balloon, u=0.

According to the equation of motion,

[tex]s=ut+\frac1 2 at^2[/tex]

where a is the acceleration, u is initial velocity and.

Here, [tex]a=g=9.81 m/s^2[/tex] (acceleration due to gravity) and s and a are having the same direction.

So, on putting the values in the equation, we have

[tex]92.4=0\timest+ \frac 1 2 (9.81)t^2[/tex]

[tex]\Rightarrow t^2=\frac{92.4\times 2}{9.81}[/tex]

[tex]\Rightarrow t=\sqrt{\frac{92.4\times 2}{9.81}}[/tex]

[tex]\Rightarrow t=4.34[/tex] seconds.

So, the time available for the man on the ground to catch the bot is 4.34 seconds.

Now, from equation (i),

[tex]10=v\times 4.34[/tex]

[tex]\Rightarrow v = 10/4.34[/tex]

[tex]\Rightarrow v = 2.30[/tex] m/s.

Hence, the person has to move at the speed of 2.30 m/s towards the dropping point to catch the box.


Related Questions

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How old is the sun?

Answers

Answer:

4.6 billion years

Explanation:

When using the right-hand rule to determine the direction of the magnetic force on a charge, which part of the hand points in the direction of the magnetic field? palm fingers back thumb

Answers

When using the right-hand rule to determine the direction of the magnetic force on a charge, the thumb is in the direction of the magnetic field.

What is the right-hand thumb rule?

The right-hand thumb rule is the method to recognize that there is only one velocity, which is symbolized by the thumb. There are a lot of field lines, which are symbolized by the fingers.

The force is directed in the direction in which you would press your palm. The force acting on a negative charge is the polar opposite of that acting on a positive charge.

A pure magnetic field will not accelerate a charged particle in a single direction since the force is always perpendicular to the velocity vector, but it will create circular or helical motion

It's worth noting that a magnetic field has no effect on a static electric charge. These two findings are consistent with the rule that magnetic fields are polarized.

Hence using the right-hand rule to determine the direction of the magnetic force on a charge, the thumb is in the direction of the magnetic field.

To learn more about the right-hand thumb rule refer to the link;

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Answer:

D, thumb

Explanation:

edge 2022

What does high resistance mean?
A. Electrons are squeezed together, creating friction as
they flow.
B. Electrons flow through a wire without touching each
other.
C. Electrons have an easy time completing the circuit.
D. Electrons flow backwards through the circuit.

Answers

Answer:

i think it's A

because if there is more friction then it will create more hindrance for the current to flow which is ultimately called resistance .

Which planet moves the fastest and which planet moves slowest?

Answers

Answer:

d is the fastest and c is the slowest

Explanation:

physics

Answer:

Neptune will move the fastest

Mercury will move the slowest

Explanation: Because what ever is closer to a object will move the slowest and something further away will have to go faster to keep up with the object that is closer.

The right-hand rule applies to what kind of charge?.

Answers

The right hand rule applies to a positive charge

A positive charge of 6.0 × 10-4 c is in an electric field that exerts a force of 4.5 × 10-4 n on it. what is the strength of the electric field? startfraction n over c endfraction

Answers

The strength of the electric field will be 0.75 NC⁻¹.

What is the strength of the electric field?

The strength of the electric field is the ratio of electric force per unit charge. Its unit is NC⁻¹.

The given data in the problem is;

q is the positive charge = 6.0 × 10-4 C

F is the electric force of 4.5 × 10-4 N

E is the electric field intensity=?

The electric force is given by;

[tex]\rm F= q \times E \\\\ \rm E= \frac{F}{q} \\\\ \rm E= \frac{4.5 \times 10^4}{6 \times 10^{-4}} \\\\ \rm E=0.75 \ NC^{-1}[/tex]

Hence the strength of the electric field will be 0.75 NC⁻¹.

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Imagine that you are in a space station in the vacuum of outer space, far from any planet. There is no air in space, so there is no friction. There is also very little gravity. You throw a ball out the door of the space station. Use Newton's first law of motion to predict what will happen to the motion of the ball.

Answers

Answer:

The ball will continue to move at a constant speed forever until another force stops it.

Explanation:

Newton's first law of motion can be seen as a law of inertia. It explains that an object at rest or in a state of uniform motion will remain in that state unless it is acted upon by an external force.

Following the above, when the ball is thrown into space, the ball will continue to move with the velocity with which it was thrown until it comes in contact with another object that stops it. If this does not happen, it will continue to drift forever at that velocity.

If wooden ball has a mass of 2.4g and a volume of 6cm3. What is it’s density

Answers

Answer:

0.4 g/cm^3. is the answer of this question..

Thank you ☺️☺️

Answer:

0.4 g/cm^3

Explanation:

As density=m/v

                =2.4/6

                =0.4g/cm^3

In a model AC generator, a 502 turn rectangular coil 8.0 cm by 23 cm rotates at 120 rev/min in a uniform magnetic field of 0.61 T. (a) What is the maximum emf induced in the coil

Answers

Answer:

9896

Explanation:

multiply them all together

What letter would be a likely place
for Mystery Element #2 to be located
on the Periodic Table?
Mystery Element #2
•Silver
•Solid
В с
Melting Point 725.05C
Good conductor of heat
and electricity
•Malleable
A
D

Answers

A is the answer sorry if Im wrong tho

The mystery element on the periodic table that have melting point of 725.05c , that is malleable, good conductor of heat is Barium.

What is periodic table?.

Periodic table is the table that shows the classification of elements into groups and periods which classify them base on their unique and comon characteristics within each group.

Therefore, The mystery element on the periodic table that have melting point of 725.05c , that is malleable, good conductor of heat is Barium.

Learn more about periodic table below.

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An airplane travels 280m down the runway before taking off. If it starts from rest, moves with constant acceleration, and becomes airborne in 8.00 s, what is its speed, in m/s, when it takes off?

Answers

Answer:

the average speed is ... 280 m / 8.00 s = 35 m/s

the initial speed is zero (rest), so the final speed (take off) is

... ave = (init + fin) / 2 ... 35 = (0 + f) / 2 ... f = 70 m/s

Explanation:

The pressure resulting from a force of 50 N exerted over an area of 5 m² is​

Answers

P = F/A

P = 50/5

P = 10 Pa

Hope it helps :)


What is the best inference for the height of the plant after 35 hours?

Answers

Option D, 1.95 cm

1.8+2.1=3.9/2 = 1.95

Which of the following is not a step toward planning your goals?

Answers

C. Disregard a goal if you don’t achieve it

Answer: A. Disregard a goad if you don't achieve it.

Explanation:

The Explanation is if you don't achieve the goal that is not right so your job is to disregard the goal.

a meteor is falling towards earth with 4m/s^2 acceleration due to gravity. if mass and radius of the earth are 6*10^24kg and 6.4*10^6m respectively, find the height of meteor.

Answers

Answer:

3.6×10⁶ m

Explanation:

g = GM / R²

4 m/s² = (6.67×10⁻¹¹ m³/kg/s²) (6×10²⁴ kg) / (6.4×10⁶ m + h)²

(6.4×10⁶ m + h)² = 1.00×10¹⁴ m²

6.4×10⁶ m + h = 1.00×10⁷ m

h = 3.6×10⁶ m

Please help me answer this science question.
A.) 1
B.) 2
C.) 3
D.) 4
Thank you!
Grade: 6/middle school
Subject: Science

Answers

the answer is number 4 as the iron filings are strongest at the poles

A quarter rolls off a table with an initial horizontal velocity of 0.24 m/s. If the quarter lands 0.42 seconds later on the ground. How far from the table did it land?

Answers

Answer:

0.10 m

Explanation:

Given in the x direction:

v₀ = 0.24 m/s

a = 0 m/s²

t = 0.42 s

Find: Δx

Δx = v₀ t + ½ at²

Δx = (0.24 m/s) (0.42 s) + ½ (0 m/s²) (0.42 s)²

Δx ≈ 0.10 m

The distance from the table with the horizontal velocity of 0.24 m/s and time t is 0.42 s is 0.10m.

What is velocity?

Velocity is defined as the rate of displacement per unit time. It equals the speed along with the direction. Velocity is the vector quantity as it has both magnitude and direction.

The velocity can be classified as instantaneous velocity and average velocity. Average velocity is obtained by the ratio of total displacement to total time. The unit of velocity is m/s.

From the given,

Initial velocity (u) = 0.24 m/s

time = 0.43 s

acc (a) = 0

distance (s) =?

By using the equation of motion:

s = ut + 1/2 (at²)

 = 0.24×0.42 + (0×0.42×0.42)/2

 = 0.10 + 0

s = 0.10 m

Thus, the distance traveled from the table is 0.10 m.

To learn more about Equations of motion:

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ANSWER ASP Please help will give brainliest

Answers

1.) specific characteristic of an organism that can be determined by genes or the environment

2.) hair color, body shape <<< easy to see
blood type, leaf shape. >>>> not easy to see

3.) Environmental factors often influence traits independently of genes. But not always. Sometimes the environment changes a gene—either its DNA sequence or its activity level. Either of these effects can change the proteins that are made from a gene, which in turn affects traits.

example: food, sunlight, temperature

What kind of energy could be directly used to solve for the launch velocity?

Answers

Mechanical energy would be my best guess

What element is a Transition Metal similar to Silver but has less protons?

Answers

Zinc is the first element of the twelfth column of the periodic table. It is classified as a transition metal. Zinc atoms have 30 electrons and 30 protons with 34 neutrons in the most abundant isotope.

Large amplitude of sound vibrations will produce.....

Answers

Answer:

louder sound.

Explanation:

The amplitude of a sound wave determines its loudness or volume. A larger amplitude means a louder sound

When wood is burned, energy is released in the form of heat and light. Describe the reaction, and explain why the reaction does not violate the law of conservation of energy.
-Physical science

Answers

Answer:

the reaction is a physical reaction and it is exothermic as it releases heat to the sorrounding

Explanation:

because the mass of paper burnt is equal to the mass of products which are ashes

What is the relationship between current and power in a circuit?
O A. A circuit that has more current will have more power.
B. The amount of current in a circuit has no relation to its power.
C. A circuit that has more current will have less power.
D. The amount of current a circuit has is equal to its power.

Answers

Answer: A

Explanation: a p e x

Answer:

the guy above is right, it is A

Explanation:

A p E x

10 20 30 40 50 60 70 80 90 100 110 120 130. Which end of the scale (left or right) has the loudest sounds?​

Answers

Answer:

I'm From Philippines

I hope we can be friends.

Identify the functions of Respiratory and Circulatory Systems page 134

Answers

An organism's circulatory system pumps blood, while its respiratory system regulates its gas exchange ( carbon dioxide and oxygen). The circulatory system consists of the blood, heart, blood arteries, and lymph nodes, while the nervous system consists of the brain, spinal cord, and nerves. Like the respiratory system, the circulatory system is made up of a network of blood vessels that transport oxygen and carbon dioxide throughout the body. Taking in oxygen and exhaling carbon dioxide are the primary functions of the circulatory system and the respiratory system, respectively. After entering the heart, deoxygenated blood travels to the lungs, where it is re-oxygenated. Oxygen is necessary for both systems to function.

Which of the following people came up with the term “hypnosis”?

Answers

james braid came up with the term hypnosis

Answer:

A- James Braid

Explanation:

e2020

Please select the word from the list that best fits the definition increases in the number of ______ can lead to warmer climates

Answers

The word from the list that best fits the definition increases the number of sunspots that can lead to warmer climates.

What is a sunspot?

Sunspots are transitory spots on the Sun's photosphere that appear to be deeper than the surrounding areas.

They are zones of reduced surface heat caused by magnetic field flux concentrations that prevent convection.

Sunspots usually form in pairs with opposite magnetic polarities. This has an impact on the temperature on Earth, as well as radio reaction. The Earth would presumably be colder if sunspots didn't exist.

When sunspots form, they produce an increase in UV radiation that radiates from the sunspots' outer ring as they approach Earth.

This increase in UV radiation has an impact on the chemistry of the outer environment as well as the Earth's energy balance.

The idea that sunspots have an impact on Earth's ecology is still controversial, although it does exist.

Hence the words from the list that best fits the definition increase the number of sunspots that can lead to warmer climates.

To learn more about the sunspot refer to the link;

https://brainly.com/question/9369720

Sarah throws a ball directly upward at the edge of a cliff with a starting velocity of 3.0 \, \dfrac{\text m}{\text s}3.0 s m ​ 3, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. It lands on the ground with a final speed of 6.0 \, \dfrac{\text m}{\text s}6.0 s m ​ 6, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. How long is the ball in the air?

Answers

Answer:

t = 0.3 seconds

Explanation:

Given that,

Initial velocity of a ball, u = 3 m/s

Final velocity of the ball, v = 6 m/s

We need to find the time for which the ball is in the air. As the ball was directed upwards, it would mean that the acceleration of the ball is -g or -9.8 m/s².

Using the first equation of motion to find the time. So,

v=u+at

or

v=u-gt

[tex]t=\dfrac{v-u}{-g}\\\\t=\dfrac{6-3}{-9.8}\\\\t=-0.3\ s[/tex]

or

t = 0.3 seconds

So, the ball is in the air for 0.3 seconds.

Answer: t= 0.92 s

Explanation: the formula you use it’s v=vinitial + at and you rearrange it to make (t= vfinal - vinitial /a) using this you get 0.92s

A box is sliding with a speed of 4.50 m/s on a horizontal surface when, at point P, it encounters a rough section. On the rough section, the coefficient of friction is not constant, but starts at 0.100 at P and increases linearly with distance past P, reaching a value of 0.600 at 12.5 m past point P.

(a) Use the work energy theorem to find how far this box slides before stopping.

(b) What is the coefficient of friction at the stopping point?

(c) How far would the box have slid iff the friciton coefficient didn't increase, but instead had the constant value of .1?

Answers

Answer:

(a). The value of distance is 5.043 m

(b). The coefficient of friction is 0.302.

(c). The distance is 10.33 m

Explanation:

Given that,

Speed = 4.50 m/s

Minimum friction = 0.1

Maximum friction = 0.6

Distance = 12.5 m

We know that,

The newton's second law

[tex]F_{net}=-\mu N[/tex]

[tex]F_{net}=-\mu mg[/tex]

We know that,

The frictional coefficient is directly proportional to the distance.

We need to calculate the value of coefficient

Using general equation of frictional coefficient

[tex]\mu(x)=Ax+B[/tex]....(I)

At x= 0,

[tex]\mu(0)=0+B[/tex]

Put the value into the formula

[tex]B=0.1[/tex]  

Now for value of A

Put the value in equation (I)

[tex] 0.6=A12.5+0.1[/tex]

[tex]A=\dfrac{1}{25}[/tex]

Put the value in equation (I)

[tex]\mu(x)=\dfrac{x}{25}+0.1[/tex]......(II)

We need to calculate the work done

Using work energy theorem

[tex]W=\int_{0}^{x}{F_{net} dx}[/tex]

[tex]W=\int_{0}^{x}{-\mu_{x}mgdx}[/tex]

[tex]W=-mg\int_{0}^{x}{(\dfrac{x}{25}+0.1)dx}[/tex]

[tex]W=-mg(\dfrac{x^2}{50}+0.1x)[/tex]....(III)

(a). We need to calculate the distance

Using difference of kinetic energy

[tex]W=\dfrac{1}{2}m(v_{f}^2-v_{0}^2)[/tex]

[tex]-mg(\dfrac{x^2}{50}+0.1x)=\dfrac{1}{2}m(0-(4.50)^2)[/tex]

[tex]\dfrac{x^2}{50}+0.1x=1.013[/tex]

[tex]x^2+5x=50.65[/tex]

[tex]x^2+5x-50.65=0[/tex]

[tex]x=5.043\ m[/tex]

(b). We need to calculate the coefficient of friction at the stopping point

Using equation (III)

[tex]\mu(5.043)=\dfrac{5.043}{25}+0.1[/tex]

[tex]\mu(5.043)=0.302[/tex]

(c). We need to calculate the distance

Using formula work done

[tex]W=-fx_{2}[/tex]

[tex]W=-\mu mgx_{2}[/tex]

[tex]-\dfrac{1}{2}mv_{0}^2=-\mu mgx_{2}[/tex]

[tex]x_{2}=\dfrac{v_{0}^2}{2\mu g}[/tex]

Put the value into the formula

[tex]x_{2}=\dfrac{(4.5)^2}{2\times0.1\times9.8}[/tex]

[tex]x_{2}=10.33\ m[/tex]

Hence, (a). The value of distance is 5.043 m

(b). The coefficient of friction is 0.302.

(c). The distance is 10.33 m

A microwave oven has a power of 1800 W and the potential difference applied from the mains is 230 V. What are its current and resistance?

Answers

Answer:

I = 7.826A

R = 29.38 Ω

Explanation:

First, let us find the current of the microwave.

Let us use the below formula for that.

Power = Voltage × Current

Current = Power ÷ Voltage

             = 1800w ÷ 230v

             = 7.826 A

And now let us find the resistance using the below formula.

Voltage = Current × Resistance

Resistance = Voltage ÷ Current

                   = 230V  ÷ 7.826A

                    = 29.38 Ω

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