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

hey can anyone help me out in dis pls

Answers

Answer: 1. Liquid, molecules aren't packed very closely, and take the shape of the bottom of the container 2. Gas molecules are far apart and fill the container completely

Explanation:

How long should a spring be stretched for it to store 45 J of energy? The force constant of the spring is
540N/m?

Answers

Answer:

x = 0.4 m

Explanation:

When a spring is stretched from its equilibrium position. Some energy is stored in the spring. This energy is called the elastic potential energy of the spring. The formula used to calculate the magnitude of this stored energy is given as follows:

P.E = (1/2)kx²

where,

P.E = Elastic Potential Energy Stored in the spring = 45 J

k = Spring Constant = 540 N/m

x = amount of stretching = ?

Therefore,

45 J = (1/2)(540 N/m)x²

x² = (45 J)(2)/(540 N/m)

x = √(0.167 m²)

x = 0.4 m

differenciate between emf and potential difference ​

Answers

Answer: 1.Emf is the total voltage in the battery while the potential difference is the work done in moving a charge against the electric field between two specific points in the circuit. 2.Emf is always greater than the potential difference.

Explanation:

To me (electrical engineer since 1973), there is no difference. They are two different names for the same thing.

What kind of things would Physics be able to answer? I. How does a hair dryer work? II. How does a lightning bolt form? III. How far will a cannon ball fly through the air? IV. What happens to a person after they die? I and III I, II, and III I only I, II, IV

Answers

Answer:

physics answers everything to understand biology you need to understand chemistry which is connected to physics which is connected to mechanics like fluid mechanics or quantum mechanics which is connected to math and all of that is science not particularly physics but physics can answer all of the questions you asked and more.

Explanation:

Answer:

sorry im only in fifth grade

Explanation:

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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PLEASE I NEED TO KNOW
A mountain climber encounters a gap in an ice field. The opposite side of the gap is 2.75m lower, and is separated horizontally by a distance of 4.1m. To cross the crevasse, the climber gets a running start and jumps in the horizontal direction. (A) What is the minimum speed needed by the climber to safely cross the gap? (B) What is the climber's velocity right before landing?​

Answers

Answer:

A) 5.5 m/s

B) 9.2 m/s

Explanation:

A) Given in the y direction:

Δy = 2.75 m

v₀ = 0 m/s

a = 9.8 m/s²

Find: t

Δy = v₀ t + ½ at²

2.75 m = (0 m/s) t + ½ (9.8 m/s²) t²

t ≈ 0.75 s

Given in the x direction:

Δx = 4.1 m

a = 0 m/s²

t = 0.75 s

Find: v₀

Δx = v₀ t + ½ at²

4.1 m = v₀ (0.75 s) + ½ (0 m/s²) (.75 s)²

v₀ ≈ 5.5 m/s

B) Find vᵧ.

v² = v₀² + 2aΔy

vᵧ² = (0 m/s)² + 2 (9.8 m/s²) (2.75 m)

vᵧ ≈ 7.34 m/s

Find v.

v² = vₓ² + vᵧ²

v² = (5.5 m/s)² + (7.34 m/s)²

v ≈ 9.2 m/s

For work to be accomplished we must have?


A. an action which causes movement and an opposite reaction

B. an action which causes no movement or reaction

C. a force and a movement in the opposite direction of the force

D. a force and a movement in the same direction as the force

Answers

Answer:

a force and a movement in the same direction as the force.

Explanation:

The gravitational force between two objects is 3600 N. What will be the gravitational force between the objects if the mass of each object is reduced to one third of its original mass
A. 400 N
B. 1200 N
C. 10,800 N
D. 32,400

Answers

Answer:

It will reduce by 9 times and become 400 N.

This question can be solved using the concepts of Newton's Law of Gravitation, and gravitational force.

The gravitational force between the two objects if the mass of each object is reduced to one-third of its original mass will be "A. 400 N".

According to Newton's Law of Gravitation the gravitational force between two objects is given as follows:

[tex]F = \frac{Gm_1m_2}{r^2}[/tex]---------- eqn (1)

where,

F = Gravitational force between objects = 3600 N

G = Universal gravitational constant

m₁ = mass of the first object

m₂ = mass of the second object

r = distance between the objects

Now, the masses have become one-third of the original value:

[tex]F'=\frac{G(\frac{m_1}{3})(\frac{m_2}{3})}{r^2}\\\\F' = \frac{1}{9}\frac{Gm_1m_2}{r^2}\\\\using\ eqn\ (1):\\\\F' = \frac{F}{9} = \frac{3600\ N}{9}\\\\[/tex]

F' = 400 N

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The attached picture illustrates Newton's Law of Gravitation.

Which types of changes observe the law of conservation of mass?
A.only changes of state
B.only physical changes
C.only chemical changes
D.physical changes and chemical changes

Answers

Answer:

I think it might be umm... b

The correct answer is actually D

Explanation: i got it right on my district assignment! :)

A car was traveling at a velocity of 8 m/s and then accelerated at a rate of 5 m/sr^2, reaching a velocity of 85 m/s. How far did the car travel at this acceleration rate?

Answers

Answer:

716.1 m

Explanation:

A car was travelling at a velocity of 8m/s

It accelerated at 5m/s^2

It finally reached a velocity of 85m/s

The distance can be calculated by applying the fourth equation of motion

V^2= U^2 +2as

V= 85m/s

U= 8m/s

a= 5m/s^2

85^2= 8^2 + 2(5)(s)

7225= 64 + 10s

7225-64= 10s

7161=10s

s= 7161/10

= 716.1 m

Hence the car travelled at a distance of 716.1 m

An airplane accelerates down a runway at 3.10m/s^2 for 41.5 seconds from rest until it finally lifts off the ground . What is the displacement before take off

Answers

Answer:1720m

Explanation:

Uh


Why is it important that a satellite in orbit be above the earth's
atmosphere?

Answers

Explanation:

A stone is thrown upward neglecting air resistance. ... Why is it important that a satellite remain above Earth's atmosphere? The air resistance will slow it down and burn it. What happens to a satellite close to Earth's surface if it is given a speed exceeding 11.2 km/s?

Evidence of a chemical change includes
A) change in size.
B) change in color.
C) change in shape.
Eliminate
D) change in weight.

Answers

Evidence of a chemical change includes

change in color

To work on muscular endurance, you should use?

Answers

Answer:

Arm Workouts- with Weights.

Pushups for Upper-Body Strength.

Lunges and Squats.

Explanation:  Lifting weights is one way to build muscular strength and endurance in your arms.

Pushups primarily work the pectoral muscles of the chest, starting directly below the neckline.    

Brainlist please?       and your welcome!

Which of the following examples describe an acceleration? (Check ALL that APPLY)

Group of answer choices

A car has to slow down as it approaches a slower truck in front of it

A car is sitting in a parking lot

A car maintains a speed of 15 mph as it turns around a corner

A car is stopped at a stop light, and speeds up when it turns green

A car drives straight down a road at 60 mph

Answers

Answer:#3,#4,#5

Explanation:they each don't stop

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 charge of 12 passes through the filament of a car head lamp bulb in 4 s. what is current?​

Answers

Answer:

3 A

Explanation:

[tex]current = \frac{charge}{time} \\ = \frac{12}{4} \\ = 3 \: amperes[/tex]

A snail can move app approximately 0.30 inches per minute. How many meters can the snail cover in 15 minutes

Answers

4.5 i’m pretty sure sorry if i’m wrong

Answer:

4.5 because just do the math and its 4.5

What information does a distance time graph provide

Answers

A distance/time graph will provide you with how much distance will be covered in a certain amount of time.


Hope this helps

Which example best represents balanced forces? an elevator stopped on the third floor a basketball shot into a hoop a sled sliding down a snowy hill a tow truck pulling a car out of a ditch

Answers

Answer:

an elevator stopping on the third floor

Explanation:

The example that best represent balanced force as regards this question is an elevator stopped on the third floor.

Balanced force can be regarded as resultant force that has a magnitude of zero when acted on an object. When forces that are been subjected on a body are zero then the force is balanced.In the case of the elevator, immediately it stopped at a particular floor, then it will gave a balanced force, because at that point all forces acting on it becomes zeroWhen a car is pushed from a ditch , the force is acting from a side so its not balanced

Examples of balanced forces are;

The weight of object as well as normal force acting on it can be regarded as been balanced.When pushing a car at both opposite sides with the same forces.A lizard that hangs in vertical position.

Therefore option A is correct, because balanced force exist as the elevator stopped.

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3. The value of frictional force on block in the given
diagram is (Take g = 10 m/s2)
5N
m = 3 kg
8.
u = 0.3
(1) 4N
(2) 5 N
(3) 6 N.
(4) 9 N​

Answers

I need help with my homework it’s due tomorrow and I feel like I failed can u help me bro

human activities can have positive and negative effects on the environment. Humans can benefit natural areas by
A. throwing waste products in these areas.
B. removing all the vegetation from theses areas.
C. polluting the areas by burning fossil fuels.
D. preserving the natural resources that they provide.​

Answers

the answer would be D , the rest are ways humans basically destroy nature

HELP. A river flows South with a speed of 8m/s. From the shore, you see a boat moving South with a speed of 10 m/s. From their frame of reference, how fast are the rowers moving?

Answers

Answer:

18 m/s

Explanation:

Given that,

Speed of river is 8 m/s due South

From the shore, you see a boat moving South with a speed of 10 m/s. Both boat and river are moving in same direction. The resultant velocity will add up.

v = 10 m/s + 8 m/s

v = 18 m/s

Hence, the rowers are moving with a speed of 18 m/s.

How many millimeters are in .075cm ?

Answers

Answer: 0.75

Explanation:

take away the 0

0.75 millimeters :) you can solve this by multiplying the length value by 10. hope this helps

Question number 2 ppllzzzzzzz

Answers

It is 4, when finding displacement or distance use area under graph. 1/2 x 4 x 2 = 4

An object of mass 30 kg is in free fall in a vacuum where there is no air resistance. Determine the acceleration of the object. F= ?

Answers

Answer:

In free fall, mass is not relevant and there's no air resistance, so the acceleration the object is experimenting will be equal to the gravity exerted. If the object is falling on our planet, the value of gravity is approximately 9.81ms2 .

A dog chase is a cat until the dog gets tired. A graph of its velocity overtime is shown below. What is the dogs average acceleration from 0-12 seconds?

Answers

Answer: 0.67 m/s^2

Explanation:

Bc it is trust me

Answer:

.67 m/s^2

Explanation:

khan academy

Which changes would result in a decrease in the gravitational force between two objects? Check all that apply.

increasing the distance between the objects
decreasing the distance between the objects
increasing the mass of one of the objects
increasing the mass of both objects
decreasing the mass of one of the objects
decreasing the mass of both objects

Answers

Answer:

- increasing the distance between the objects

- decreasing the mass of one of the objects

- decreasing the mass of both objects

Explanation:

Got it right on Edge 2020.

The gravitational force is decreased by increasing the distance between the objects or decreasing mass of one or both of the objects

According to Newton's law of Universal Gravitation;  The force of gravity is directly proportional to the product of the masses between two bodies and inversely proportional to the square of the distance between them.

F = Gm1m2/r^2

Where;

G = gravitational constantm1 and m2 are the masses of the objects r = distance separating the objects.F = gravitational force

We can see from the formula above, that the following will result in the decrease of the force between two objects;

increasing the distance between the objects decreasing the mass of one of the objects decreasing the mass of both objects

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b. Study the given figure and calculate the area of the leaf
Area of each square
=1 cm, help me;-)​

Answers

Answer:

19 cm sq

Explanation:

you have to count one full and half area occupied by leaf in each box, then you have to multiply with 1 cm sq.

If i wanted to determined what part of your brain that you needed not just used in order to respond to the sound of your voice which brain analysis technique should i use

Answers

Answer:

The brain analysis technique which allows for identifying which part of the brain is functional per human activity is Neuroimaging.

Explanation:

Brain Imaging (or Neuroimaging) involves the use of direct observation in a living organism of the structure, function and anatomy of its central nervous system.

Cheers!

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