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:

In order to catch the box before it hits the ground, the person needs to go as fast as approximately 5.96 m/s

Explanation:

The height of the hot air balloon above the ground, s = 92.4 m

The location on the ground of the person intending to catch the box, x = 10 m away horizontally from the base location of the balloon

The time it takes the balloon released at zero vertical velocity is given by the following equation;

s = 1/2·g·t²

92.4 = 1/2 × 9.8 × t² = 19.6·t²

t² = 92.4/19.6 ≈ 4.714

t = √4.714 ≈ 1.68 seconds

The time, t, it takes the box to hit the ground ≈ 1.68 seconds

The speed, v, of the person standing 10 m away has to go to catch the box before it hits the ground is v = Distance/time =10/1.68 ≈ 5.96 m/s

In order to catch the box before it hits the ground, the person needs to go as fast as approximately 5.96 m/s.


Related Questions

1.When I cook an egg in a microwave oven, the device uses electromagnetic energy to increase the kinetic energy of particles of matter in the egg.

2.Many stoves and ovens have exhaust fans overhead to remove the rising warm air from the kitchen. The thermal energy is added to air and it rises.

3.When I cook an egg in a pan, thermal energy is transferred as the egg touches the hot surface of the pan. The thermal energy is transferred as objects touch.



choose which one are Conduction, Convection or Radiation

Answers

Answer:

1: Radiation 2: Convection 3: Conduction

Explanation:

In which beaker was the average kinetic energy of the particles the greatest?

Answers

Answer:

The warmer the temperature the more kinetic energy.  

Explanation:

The highest temperature

The typical kinetic energy formula is used to comprehend the kinetic energy of a gas. This formula uses the gas's temperature to calculate the kinetic energy, or KE. This is carried out because a gas's kinetic energy is exactly related to its temperature. Thus option D is correct.

What role of average kinetic energy of the particles?

Temperature is a gauge for the typical kinetic energy of a substance's constituent particles. It is a particle's typical kinetic energy.

A gas's temperature directly relates to the average kinetic energy of its particles. The particles must travel more quickly as the gas warms since their mass is constant.

The average kinetic energy of the particles in a sample of matter falls as it is continuously cooled. One would anticipate that eventually the particles will stop moving altogether.

Therefore, beaker D: 18 degree Celsius having average kinetic energy of the particles the greatest.

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Which statement is a description of Charles's law?
The temperature and volume of a gas are directly proportional when pressure is constant.
• The temperatung and volume of a gas are inversely proportional when pressure is constant.
The volume and pressure of a gas are directly proportional when temperature is constant.
O The volume and pressure of a gas are inversely proportional when temperature is constant.

Answers

Answer:

the temperature and volume

Which line on the graph represents the accumulation of stable atoms during the decay of a radioactive substance?

Answers

Answer:

B. Orange Line

Explanation:

Edge 2021

A net torque of magnitude 600 Nm is ex-
erted on the rotor of an electric generator for
31 s.
What is the magnitude of the angular mo-
mentum of the rotor at the end of 31 s if it
was initially at rest?
Answer in units of kg mº/s.
2

Answers

A net torque of magnitude is 600

From what height should you drop a ball so that it hits the ground at 40 m/s? How long will it take to hit the ground?

Answers

Explanation:

It is given that,

A ball hits the ground at 40 m/s

Let h is the height from where you drop a ball. It is based on the conservation of energy as :

[tex]mgh=\dfrac{1}{2}mv^2\\\\h=\dfrac{v^2}{2g}\\\\\text{Putting all the values in above formula}\\\\h=\dfrac{40^2}{2\times 9.8}\\\\h=81.63\ m[/tex]

It is dropped from a height of 81.63 m.

Let it take t seconds to hit the ground. When it hits the ground, its final speed, v = 0 and u = 40 m/s. So,

[tex]h=ut+\dfrac{1}{2}gt^2\\\\h=\dfrac{1}{2}gt^2\\\\t=(\dfrac{2h}{g})^{1/2}\\\\t=(\dfrac{2\times 81.63}{9.8})^{1/2}\\\\t=4.08\ s[/tex]

So, it will take 4.08 seconds to hit the ground.

How is the centripetal force related to the tangential velocity of the mass?.

Answers

Answer:

The force is proportional to the square of the tangential velocity of the mass. How many different masses are we going to perform this experiment with?

Explanation:

A rock is thrown downward from the top of a cliff with an initial speed of 12 m/s. If the rock hits the ground after 2.0 s, what is the height of the cliff?

Answers

I believe the answer to your question it’s going to be 44m.

The required height of the cliff is 4.4 m.

Given data:

The magnitude of initial speed of rock is, u = 12 m/s.

The time interval of hitting is, t = 2.0 s.

The given problem is clearly resolved using the concept and fundamentals of second kinematic equation of motion. As per the second kinematic equation of motion we have,

[tex]h =ut+\dfrac{1}{2}(-g)t^{2}[/tex]

Here,

h is the height of cliff.

g is the gravitational acceleration.

Solving as,

[tex]h =(12 \times 2)+\dfrac{1}{2}(-9.8) \times2^{2}\\\\h = 4.4\;\rm m[/tex]

Thus, we can conclude that the required height of the cliff is 4.4 m.

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50 points.
Lab: Newton's Laws of Motion Section III: Analysis and Discussion What do the key results indicate? If you constructed graphs, what trends do they indicate in your data?

Answers

A linear pattern it’s a continuous increase and decrease in numbers overtime on a graph the data appears as a straight line angled diagonally up and down (the angel may seem to be steep or shallow) so the trend can either be upward or downward

How does a foam-filled winter coat help keep a person warm?

It slows down the transfer of thermal energy from outside to inside the coat.
It slows down the transfer of thermal energy from inside to outside the coat.
It speeds up the transfer of thermal energy from outside to inside the coat.
It speeds up the transfer of thermal energy from inside to outside the coat.

Answers

Answer: the answer is B. It slows down the transfer of thermal energy from inside to outside the coat

Explanation: I took the test and got this right:) Hope this helped!!

Answer:

B. It slows down the transfer of thermal energy from inside to outside the coat.

Photosynthesis Assignment
Use the diagram below to show the cycle of photosynthesis. Include the Sun or energy, carbon dioxide, chlorophyll, water, oxygen and glucose or carbohydrates. Show what happens to each of the elements in carbon dioxide, oxygen and water. Use arrows to show the movement of the substances and label the arrows.

Answers

Here are the ways.

First sunlight enters leaves' chlorophyll .Water comes through rootsCarbon dioxide from atmosphereAll combine to form carbohydrates and oxygen After evaporation the tree releases water to atmosphere.Which comes down as rain

First sunlight enters leaves' chlorophyll . Water comes through roots and Carbon dioxide from atmosphere. All combine to form carbohydrates and oxygen. After evaporation the tree releases water to atmosphere which comes down as rain.

What is photosynthesis?

Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's activities.

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What is the weight of a 215 kg moose?

Answers

didn't you just say it's 215

Answer:

Explanation:215 Kilograms =

473.99386 Pounds

(rounded to 8 digits)

A device that converts mechanical energy into electrical energy
A. electromagnet.
B. telephone.

Answers

Answer:

A

Explanation:

Hope this helps. Please if you need more information let me know

How is the potential energy effected as a ball lying on top of a 20 m tall building rolls down to the next
building which is 10 m tall

Answers

Answer:

Since the gravitational potential energy of an object is directly proportional to its height above the zero position, a doubling of the height will result in a doubling of the gravitational potential energy. A tripling of the height will result in a tripling of the gravitational potential energy.

A guitar string vibrates with an unknown frequency. If the the guitar string is played along with a 440 Hz tuning fork, a beat frequency of 5 Hz is heard. What are the possible frequencies the guitar string could be vibrating at?

Answers

This question involves the concept of the beat frequency.

The possible frequencies of the guitar string could be "445 Hz" (or) "435 Hz".

Beat Frequency

When two sounds with a very minor difference in their frequency are played, they produce a frequency equal to the absolute value of the difference between their frequencies. This frequency is known as beat frequency.

[tex]f_b=|f_1-f_2|[/tex]

where,

[tex]f_b\\[/tex] = beat frequency = 5 Hzf₁ = frequency of first guitar string = 440 Hzf₂ = possible frequencies of other string = ?

Therefore,

5 Hz = |440 Hz - f₂|

f₂ = 440 Hz ± 5 Hz

f₂ = 445 Hz (OR) 435 Hz

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an object is thrown upward , what is true about the objects upward velocity and acceleration

Answers

Answer:

option B is correct

hope it helps you

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thanks

Which of the following units could represent acceleration?
a cm/h
b cm/s
c m/h
d km/h?

Answers

Answer:

To be precise; well, S.I. Unit of acceleration is m/s.

Please help me

Have you ever sat high in the stadium at a baseball game and heard the sound of a ball being hit by a bat? Did you notice that you heard the sound after you saw the ball being hit?
Explain why you think this happened.

Answers

Answer:

Explanation:

The other answer is correct: the act of hitting a ball with a bat creates a sound. You see the act of hitting almost immediately because light travels very fast. The sound on the other hand travels much slower. So if you sit high in the stadium, the sound has to travel for a long distance before reaching you. That is why you hear the sound after you see the ball being hit.

What is magnetic force??
O A. A force between protons
O B. A force between two poles
O C. A force caused by air particles
O D. A force between objects with mass

Answers

Answer:

I believe it's B.

Explanation:

The force that a magnet exerts on certain materials, including other magnets, is called magnetic force. The force is exerted over a distance and includes forces of attraction and repulsion. North and south poles of two magnets attract each other, while two north poles or two south poles repel each other.

the answer is B, a force between two poles

Potential energy is the energy an object has because of its

Answers

radiation compared to other potential

How do scientists use the evidence they gather?
A. The evidence helps scientists write new laws for people to follow.
B. The evidence helps scientists come up with explanations about
the natural world.
C. The evidence proves that scientists are always right.
D. The evidence supports scientists' personal opinions about politics.
SUNT

Answers

Answer:  B    

The evidence helps scientists come up with explanations about

the natural world.

When making a research, scientists use the scientific method to collect enough evidence in an experiment related to a hypothesis, the results aiming to support or contradict a theory.

nm
m
s
7 km
ug um t
kg
ms
mg ns us g mm
Arrange the above units in three columns as below.
The units in each column should be in order, with the
largest at the top.
mass
length
time
largest →
unit

Answers

Largest
Length
Unit
Time

What type of image is produced when the object is closer to the lens than the focal point?

diminished or enlarged
virtual or real
upright or inverted

Answers

Explanation:

Real images are those where light actually converges, whereas virtual images are locations from where light appears to have converged.

Tides can be used to convert kinetic energy into what kind of energy?.

Answers

Answer:

As most economies witness rapid expansion, demand for power is projected to increase significantly. Though most economies have invested in fossil fuels, renewable and sustainable sources present great possibilities for cheap and reliable electricity. One energy resource that ranks among the top renewable and sustainable sources is tidal energy.

Tidal energy or tidal power is a form of renewable energy obtained due to alternating sea levels. The kinetic energy from the natural rise and fall of tides is harnessed and converted into electricity. Tides are caused by the combined gravitational forces of the moon, sun, and earth. However, tides are influenced most by the moon. The moon’s gravitational force is so strong that it tugs the ocean into a bulge. The high and low tides create tidal currents, which are essential in the generation of this kind of energy, mostly prevalent in coastal areas.

Which statement is equivalent to Newton's first law? A. If no net force acts on an object, the motion of the object does not change. B. The force of an object is equal to the mass times its acceleration. C. The unit of force is the newton. D. For every action there is an equal and opposite reaction.

Answers

Answer:

A

Explanation:

Hi:)

If no net force acts on an object, the motion of the object does not change. This statement is equivalent to Newton's first law. Hence, option (A) is correct.

What is force?

Physics defines force as the push or pull that modifies the velocity of a massed object. The ability to change a body's resting or moving condition is referred to as an external force.

According to Newton's First Law, a body in uniform motion or at rest will remain in that state up to and unless a net external force acts on it.

The key idea here is that an object will maintain a constant velocity if there is no net force produced by unbalanced forces operating on it.

Hence, if no net force acts on an object, the motion of the object does not change. This statement is equivalent to Newton's first law.

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The primary coil of a transformer has 800 turns and the secondary coil has 8 turns. It is connected to a 220 volt a.c. supply. What will be the output voltage??

Don't Spam ^_^

-_+​

Answers

Given :-

Primary voltage = 220 volt

No. of turns secondary turns = 8

No. of primary turms = 800

[tex] \\ \\ [/tex]

To find :-

Secondary voltage.

[tex] \\ \\ [/tex]

We know:-

[tex] \boxed{ \rm\dfrac{E_s}{E_p}=\dfrac{N_s}{N_p}}[/tex]

where :-

E_s = Secondary voltage

E_p = primary voltage

N_s = No. of turns secondary turns

N_p = No. of primary turms

[tex] \\ \\ [/tex]

So:-

[tex] \\ [/tex]

[tex] \dashrightarrow\sf\dfrac{E_s}{E_p}=\dfrac{N_s}{N_p}[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf\dfrac{E_s}{220}=\dfrac{8}{800}[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf\dfrac{E_s}{220}=\dfrac{8}{8 \times 100}[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf\dfrac{E_s}{220}=\dfrac{\cancel8}{\cancel8 \times 100}[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf\dfrac{E_s}{220}=\dfrac{1}{100}[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf\dfrac{E_s}{1}=\dfrac{220}{100}[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf{E_s}=\dfrac{220}{100}[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf{E_s}=\dfrac{22\cancel0}{10\cancel0}[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf{E_s}=\dfrac{22}{10}[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\bf{E_s}=2.2 \: volt[/tex]

why does one end of a nail is wide while the other end is sharp?​

Answers

Well the wife one is to be able to handle the nail and the sharp part is to put it in side of something like a wall

If a car is traveling 100 km/h west and comes to a stop in 3 min, what is the car's acceleration? Need procedure.

Answers

Answer:

a = 0.154 [m/s^2]

Explanation:

To solve this problem we must use the following formula of kinematics.

[tex]v_{f}= v_{i}-(a*t)\\[/tex]

where:

Vf = final velocity = 0

Vi = initial velocity = 100 [km/h]

t = time = 3 [min] = 180 [s]

Now we need to convert the velocity from [km/h] to [m/s]

[tex]100[\frac{km}{h} ]*1000[\frac{m}{1km} ]*1[\frac{h}{3600s} ]=27.77[\frac{m}{s} ][/tex]

0 = 27.77 - (a*180)

a = 0.154 [m/s^2]

Note: the negative sign of the equation shows, that the car slows down until it stops

Based on Newton’s law of universal gravitation, complete the following table. Distance increases mass increases distance decreases mass decreases.

Answers

When mass increases and distance reduces, gravity rises. Gravity also lowers when the distance between two points grows and the mass decreases.

What is Newton's law of gravitation?

Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.

Gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.

When mass increases and distance reduces, gravity rises. Gravity also lowers when the distance between two points grows and the mass decreases.

Hence we may deduce that when mass rises and distance reduces, gravity increases. Gravity also lowers when the distance between two points grows and the mass decreases.

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Which does not utilize the gyroscope effect?
Question options:

a spiral pass in football

a spinning top

a flying plastic disk

a magnetic compass

Answers

Which does not utilize the gyroscope effect?

A magnetic compass
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