A boy wants use his slingshot to shoot a water balloon into the air. His
slingshot has a spring constant of 60 N/m, and he pulls it back 1.5 m before
releasing the water balloon and launching it into the air. If air resistance can
be ignored and the water balloon has a mass of 0.5 kg, what is the
approximate maximum height that the water balloon can reach? (Recall that g
= 9.8 m/s2)
O A. 7.0 m
B. 4.6 m
C. 9.3 m
D. 13.8 m

Answers

Answer 1

Answer:

A. 70 m OS the correct one

Answer 2

The approximate maximum height that the water balloon can reach is 13.8 m, The correct option is D.

What is the conservation of energy?

Conservation of energy is a fundamental principle in physics that states that energy cannot be created or destroyed, only transformed or transferred from one form to another. In other words, the total amount of energy in a closed system remains constant over time. This principle is based on the idea that energy is a fundamental property of the universe, and it is a key concept in many areas of science, including physics, chemistry, and engineering. The law of conservation of energy is used to analyze and understand a wide range of physical phenomena, from the behavior of subatomic particles to the workings of the entire universe.

Here in the Question,

The maximum height that the water balloon can reach can be found using conservation of energy. The initial potential energy stored in the slingshot is transformed into kinetic energy of the water balloon as it is launched into the air, and then into potential energy at the maximum height.

The initial potential energy of the slingshot is given by:

PE = (1/2)kx^2

where k is the spring constant (60 N/m) and x is the distance pulled back (1.5 m)

PE = (1/2)(60 N/m)(1.5 m)^2

PE = 67.5 J

At the maximum height, all of the initial potential energy is converted into potential energy due to gravity:

PE = mgh

where m is the mass of the water balloon (0.5 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the maximum height.

h = PE/(mg)

h = 67.5 J/(0.5 kg)(9.8 m/s^2)

h ≈ 13.8 m

Therefore, the approximate maximum height that the water balloon can reach is 13.8 m, which is option D.

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Related Questions

does uniform acceleration means increasing acceleration?

Answers

Yes. It means that the acceleration increases at a constant rate, for example 3 mph every second.

Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
The product of 5 and the difference of 9 and a number.

Answers

Answer:

não sei.................

One fifth of the difference between a number and one is given to us in this line. This must be written as an algebraic expression. Now that this number is expressed as a letter x difference.

What algebraic expression number is the letter x?

Thus, a number that is 5 more than x is equal to x+5. As a result, “5 more than a number” is represented by the algebraic expression “x+5”. The right response is therefore “x+5”.

We don't know what the value of the variable x is, but it can have any value. Since it is a constant number that is utilized with the variable term and is clearly defined, 5 is referred to as the coefficient of x.

Therefore, It can be calculated as 1, divided by 5, multiplied by the entity that is present. For the response to the query is 1 multiplied by x, minus 1, multiplied by 5 divided by 1.

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What is the acceleration of a 2,000 kg truck if it takes a 5,500 N force to move it forward?

Answers

Explanation:

Newton's second law:

F = ma

5500 N = (2000 kg) a

a = 2.75 m/s²

Match the element with its description.
Column A
1. Sodium :
2. Silicon :
3. Bromine :
4. Argon:
Column B
a. Nonreactive gas
b. Has properties of both metals and nonmetals
c. Malleable, soft, and shiny
d. Highly reactive gas
What are the matches?

Answers

Answer:

1.c

2.b

3.d

4.a

Explanation:

There are your answers

Answer:

Sodium---Malleable, soft, and shiny

Silicon---Has properties of both metals and nonmetals

Bromine---Highly reactive gas

Argon---Nonreactive gas

Which of these is an example of acceleration? A. A bicyclist turning around the corner B. A car traveling south with its cruise control set C. A bus traveling North at 25 m/s D. A helicopter waiting to take off.

Answers

Correct answer is A. A bicyclist turning around the corner

Acceleration can mean a change in direction, speeding up, or slowing down.

B. Is traveling south and doesn’t change direction.

C. Is traveling north and at a constant speed.

D. Is not even moving.

Answer:

A

Explanation:

i took the test and got it right!!

Please someone helppp me.. I will mark as brainliest.​

Answers

Answer:

b) G.P.E = Mgh

300j = M x 10 m/s² x 15 m

300 j/ 10 m/s² x 15 m = M

300j/ 150 s² = M

2kg = M

c) K.E = 1/2 m v²

K.E = 1/2 (50) (50)²

K.E = 1/2 (50) (2500)

K.E= 125000/2

K.E = 625 000 J

The friction of the water on a boat produces an acceleration of -10 m/s2. If the
boat is traveling at 30 m/s and the motor is shut off, how long does it take the boat
to slow down to 5.0 m/s?
a
2.5 s
b 2.35
c
2.2 s
d
2.0 s

Answers

Answer:2.5s

Explanation:

Idk I guessed and got it right

Friction is the force that exists between two surfaces that are sliding or attempting to slide across each other.

The acceleration produced by the friction of water is a = [tex]-10 m/s^2[/tex]

The boat takes 2.5 seconds to slow down.

What causes of friction?Surface roughness: When two rough surfaces collide, they generate frictional force or an opposing force, which can sometimes be converted into heat. Body deformation: Deformations in the body or the surface of the body in contact may cause friction during motion.Friction is the force that exists between two surfaces that are sliding or attempting to slide across each other. For example, friction makes it difficult to push a book across the floor. Friction always acts in the opposite direction that the object is moving or attempting to move.

 The equation that rules the change of velocities is:

[tex]V = V _0 + at[/tex]

Where:

a   = acceleration

Vo = initial speed

v = final speed

t    = time

The acceleration produced by the friction of water is a = [tex]-10 m/s^2[/tex] and the boat is initially traveling at v=30 m/s. When the motor is shut off, the boat will start braking until it stops. We need to find the time it takes to ready the final speed of v=5 m/s.

t = [tex]\frac{V - V_0 }{a}[/tex] = -5-30 /10 = 2.5 s.

The boat takes 2.5 seconds to slow down.

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D
Cuestion 2
1 pts
A hotwheels car is rolled from 0.72 meters to the 1.51 meter mark. What is the displacement of the toy car?
(do not enter units into your answer in canvas)

Answers

Answer:

it is d]

Explanation:

The displacement of the toy car will be 0.79 meters.

What is displacement?

The shortest route between two points is displacement.

It is a vector quantity to be displaced. This suggests that it has a size and a direction, and that it may be thought of as an arrow pointing from one place to another.

Distance is never less than displacement; it must always be more than or equal to it.

Displacement can be zero if the starting and end point are the same.

According to the question, the Hot wheel car rolled from 0.72 meters to the 1.51-meter mark.

So, the displacement of the toy car will be :

⇒1.51-0.72

=0.79

Hence, the total displacement will be  0.79 meters.

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help quick plzz i need help

Answers

4 meters per second!

which element is loacted in group 17 period 6

Answers

i really hope this helps
I didnt exactly know so i searched it up to be sure and its goes from fluorine through astatine

How can we calculate the speed we sprint jog or walk without a radar gun

Answers

Answer:Distance and displacement

Explanation:

see attached file below

Answers

Explanation:

The velocity vs time graph is linear from 0s to 2s, so the acceleration is constant.

how many meters does it take to make one mile ​

Answers

Answer:

1610 meters

Explanation:

Answer:

1609.344 Meters

Explanation:

There is no explanation

1. What precaution should an acrobat athlete take to do skywalk?
2. Which car is more stable - an F1(formula one) car or a double decker - explain your answer why?
3. Describe how to measure center of mass of an irregular object.

Answers

1.could be anything... make sure there is safety nets below in case of an accident?
2. F1 car is more stable because the center of gravity is lower than the double deckers center of gravity
3. To find the mass of an object just put it on the scale, to find the volume put the object in a marked beaker to measure the water displacement which is the volume

Can you ever absolutely prove that a hypothesis is correct? Explain.

Answers

Yes you can, with using scientific experiment.

Ask a question -- Do background Research -- Construct a Hypothesis --Test with an Experiment -- Procedure working? -- Yes or no? -- Analyze Data and Draw Conclusions

With an experiment you can discover if its correct or not.

Hope this helps ! <3

A person is walking from the front of a train toward the back of a train at a constant velocity of 3 mph. The train is moving forward at a velocity of 20 mph. What is the velocity of the walking person relative to the land outside the train?

Answers

Explanation:

This is the Galilean transformation.

V' = V - U   where want to find V' in the primed frame of reference.

The primed frame is moving at speed U = -20 relative to the train.

V = -3 is the speed of the person in the frame of the train.

Then V' = -3 - (-20) = 17 mph relative to the land outside the train.

You wish to push a cart across a friction less surface, so you
apply a 20 N force for a period of 3 seconds. As a result, the
cart goes from rest to a velocity of 2.3 m/s. What is the mass of
the cart?

Answers

Answer:

Explanation:

a= (2.3 m/s) / (3.0s) = 0.77 m/s2F= ma20.0 N = m (0.77 m/s2)m = 26 kgForce is measured with?Newtons (N) --> 1 N = 1 kg m/s2

Give two examples of mixtures in which the physical properties of the ingredients, or substance, are maintained, or NOT changed, when they are mixed together

Answers

Answer: Examples are --- Water and oil , nails and sand  and are called Heterogeneous mixtures ,

Explanation:

A mixture is a combination of  two or more substances without a  chemical reaction which individual  components having retain their properties, We have two types of mixtures

Homogeneous-- Is a mixture, whether solid liquid or gas that contains proportions in such a way that one can hardly identify  each components by looking eg --air, ink etc

Heterogeneous- Is a mixture in which the physical properties of individual components are maintained  eg --- Rice and beans , water and oil, nails and sand.

Which careers typically require post-secondary education other than vocational school? Check all that apply. Boiler Operation Construction Management Architecture Repair Work Civil Drafting Carpentering

Answers

Answer: Construction management, Architecture, Civil Drafting.

Explanation: hope this helps :)

Construction Management, Architecture and Civil Drafting are careers typically require post-secondary education other than vocational school. So, the correct options are B, C and E.

What is Career?

Career is defined as a person's metaphorical "journey" through learning, work and other aspects of life where there are many ways to define career and the term is used in different ways.

A career is defined as the variety of experiences that we have had throughout our lives. As we gain more experience in the world of work and life, we build careers. We take into account career paths education, training and paid or unpaid work. Construction Management, Architecture and Civil Drafting are careers typically require post-secondary education other than vocational school.

Therefore, the correct options are B, C and E.

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Examine the diagram of the cell cycle.
Which label identifies the stage in which the DNA is
copied and the cell grows?
Y
Z
Ow
OX
X
O z
W

Answers

Answer:

W

Explanation:

its the longest period of time

household chores are a good way to fit exercise into your everyday ruotine

Answers

True, but is that your question?

Answer:TRUE

Explanation:

It’s counts as moving around so yes exercise

A car is traveling at 100 km/h. How many minutes will it take to cover a distance of 750 km?

Answers

Answer:

7.5 minutes (you mean hours)

t = 7.5 min (if it was actually not hours than put minutes just letting u know.)

Explanation:

The first thing you have to do is know the equation; it is t = d/s, which is time = distance divided by speed. Know fill in the equation, now it will be t = 750 km/100 km/ hr ( in this min). If you divide it, then the answer will be t = 7.5 min (which it has to be hours instead of min because hours makes more sense than minutes.)

The car will take 7.5 hours to cover a distance of 750km.

What are Speed and velocity?

Speed ​​is defined as the rate over time at which an object is moving along a path, while velocity is defined as the rate and direction of motion of an object. Speed is a scalar quantity as it has only magnitude, no direction but Velocity is a vector quantity as it has both magnitude as well as direction.

Speed can be expressed as:

Speed= Distance travelled/ Time taken

Velocity can be expressed as:

Velocity= Displacement travelled/ Time taken

Both the quantities are expressed as meter per second (m/s).

If the two values are given , we can calculate the another value like in the above given information, speed of the car = 100km/hr and distance travelled by the car= 750 km.

So, Time taken= 750/100 = 7.5 hours

Thus, the car will take 7.5 hours to cover a distance of 750km.

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Who is the father of physics?

Answers

Answer:sir Isaac Newton is known as the father of physics.

Explanation:

Eric has a mass of 19.0 kg on the earth. What is Eric's weight on earth? What is Eric's weight on Mars? where the acceleration of gravity is approximately 0.381 of that of Earth's? ________.

Answers

Answer:

Weight on Earth = We = 186.2 N

Weight on Mars = Wm = 70.94 N

Explanation:

The weight of an object is defined as the force applied on the object by the gravitational field. The magnitude of weight is given by the following formula:

W = mg

were,

W= Weight of Eric

m = mass of Eric

g = acceleration due to gravity

ON EARTH:

W = We = Eric's Weight on Earth = ?

m = Eric's Mass on Earth = 19 kg

ge = acceleration due to gravity on Earth = 9.8 m/s²

Therefore,

We = (19 kg)(9.8 m/s²)

We = 186.2 N

ON MARS:

W = Wm = Eric's Weight on Mars = ?

m = Eric's Mass on Mars = 19 kg

gm = acceleration due to gravity on Mars = 0.381(ge) = (0.381)9.8 m/s² = 3.733 m/s²

Therefore,

Wm = (19 kg)(3.733 m/s²)

Wm = 70.94 N

Convert 1.2m = ____mm

Answers

Answer:

1.2m = 1200 mm

Explanation:

The answer is looks easy, but 1 Meter (m) is equal to 1000 millimeters (mm). To convert meters to mm, multiply the meter value by 1000.

2. The speed of light is 299,792,000m's. What is the speed in km's?​

Answers

Answer:

299 792 kilometers

Explanation:

Boojho saw a cracker burst at night at a distance from his house. He heard
the sound of the cracker a little later after seeing the cracker burst. Give the
reason for the delay in hearing the sound.​

Answers

Answer:

The primary reason of seeing the cracker burst and hearing the sound later is because the speed of sound and light. Speed of light is in the vicinity of 3*10^8m,/ sec while the speed of sound is at a distance of 332m/sec. It is similar to lightning that strikes before the sound.

hope this helped you

please mark as the brainliest (ㆁωㆁ)(ㆁωㆁ)

Light will travel faster than sound. Thus the delayed hearing

Sunspots are dark areas on the surface of the Sun. They mark strong magnetic fields, and more sunspots indicate that the Sun is more active and is releasing more energy. The following graph presents the average daily number of sunspots from 1900 through 1944. Each data point is the average for one month.
Notice the series of peaks and troughs in the graph. The time from one minimum (trough) to the next is called a Solar Cycle. Solar Cycles can be anywhere from 9 to 14 years long.

What can be predicted with the most certainty from this graph?
A.
The next minimum in the graph will be in 1953.
B.
The average daily number of sunspots will peak in 1949.
C.
The average daily number of sunspots in 1949 will be 80.
D.
The average daily number of sunspots will increase throughout 1945.

Answers

Answer:

D

Explanation:

study island. first answer is wrong

The average daily number of sunspots will increase throughout 1945. therefore the correct answer is option D.

What is a solar system?

It is a system in which the sun's gravitational attraction causes all the planets and celestial bodies to revolve around it.

As specified in the issue statement On the surface of the Sun are spots known as sunspots. Increased sunspots imply that the Sun is more active and is producing more energy since they are a sign of strong magnetic fields.

The average daily number of sunspots from 1900 to 1944 is shown in the graph below. The average for each data point is for one month.

The graph's sequence of peaks and valleys should be noted. A solar cycle is the period of time from one minimum (trough) to the next. Solar cycles can last from nine to fourteen years.

Thus, The average daily number of sunspots will increase throughout 1945, therefore the correct answer is option D.

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A car accelerates from rest at 7.55 m/s2 for 4.25 s.
Determine the final velocity of the car.
And calculate the cars displacement.

Answers

Explanation:

This problem is on the motion of a car.

given data.

acceleration a=7.55m/s

time t= 4.25 sec

1. Determine the final velocity of the car.

we know that

acceleration= velocity/time

substituting our given data we have

7.55= v/4.25

v=7.55*4.25

v=32.08m/s

2.  calculate the cars displacement.

we also know that

velocity= distance/time

distance= velocity*time

distance= 32.04*4.25

distance= 136.37m

If the acceleration of a motorboat is 4.0 m/s2, and the motorboat starts from rest, what is its velocity after 6.0 s?

Answers

Answer:

The velocity of the motorboat after 6s is 24 m/s.

Explanation:

Given;

acceleration of the motorboat, a = 4.0 m/s²

initial velocity of the motorboat, u = 0

time of motion of the motorboat = 6s

Apply the following kinematic equation to determine the velocity of the motorboat after 6 ;

v = u + at

v = 0 + (4 x 6)

v = 24 m/s

Therefore, the velocity of the motorboat after 6s is 24 m/s.

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