A 0.300 kg mass is attached to
a 26.6 N/m spring. It is pulled
0.120 m and released. What is
the speed of the mass when it is
0.0600 m from equilibrium?
(Unit = m/s)​

Answers

Answer 1
Final answer:

To calculate the speed of the 0.300 kg mass when it is 0.0600 m from equilibrium on a 26.6 N/m spring, use the conservation of energy principle to find the kinetic energy at that point and then solve for velocity.

Explanation:

The problem involves a 0.300 kg mass attached to a spring with a force constant of 26.6 N/m. The mass is pulled 0.120 m from equilibrium and released. To find the speed of the mass when it is 0.0600 m from equilibrium, we can use the principle of conservation of energy. The total mechanical energy is conserved because we are ignoring any external forces like friction or air resistance.

Initially, when the mass is released from 0.120 m, the spring has some potential energy (due to being stretched) and the kinetic energy is zero since it's released from rest. When the mass is at 0.0600 m from equilibrium, there is a combination of potential energy (due to being displaced from equilibrium) and kinetic energy (since the mass is moving).

The initial potential energy (PEi) stored in the spring can be calculated using the formula PEi = 1/2 * k * x2, where k is the spring constant and x is the initial displacement. The final potential energy (PEf) is calculated similarly, with x being the final displacement of 0.0600 m.

The difference between the initial and final potential energy will give us the kinetic energy at 0.0600 m from equilibrium, since energy is conserved and the difference must have been converted to kinetic energy. The kinetic energy (KE) can be expressed as KE = 1/2 * m * v2, where m is the mass and v is the velocity we want to find.

Here's how you would set up the equations:

Calculate the initial potential energy: PEi = 1/2 * 26.6 N/m * (0.120 m)2.Calculate the final potential energy: PEf = 1/2 * 26.6 N/m * (0.0600 m)2.Find the kinetic energy at 0.0600 m by subtracting the final potential energy from the initial potential energy.Finally, solve for v in the kinetic energy equation to get the velocity of the mass at 0.0600 m from equilibrium.

Answer 2

The speed of a 0.300 kg mass attached to a 26.6 N/m spring, when it is 0.0600 m from equilibrium, is approximately 0.978 m/s. This was determined using principles of energy conservation. Initial potential energy was converted to kinetic energy to find the speed.

Given a 0.300 kg mass attached to a spring with a force constant (k) of 26.6 N/m, we can determine the speed when the mass is 0.0600 m from equilibrium using energy conservation principles. Initially, the mass is pulled 0.120 m from equilibrium and released.

We start by calculating the total mechanical energy of the system at the maximum displacement (0.120 m):

Potential Energy (PEmax) = 1/2 k xmax²

PEmax = 1/2 x 26.6 N/m x (0.120 m)²

PEmax = 1/2 x 26.6 x 0.0144

PEmax = 0.19152 J

At the position where the mass is 0.0600 m from equilibrium, the potential energy is:

PE = 1/2 k x²

PE = 1/2 x 26.6 N/m x (0.0600 m)²

PE = 1/2 x 26.6 x 0.0036

PE = 0.04788 J

The difference in energy will be converted into kinetic energy (KE):

KE = PEmax - PE

KE = 0.19152 J - 0.04788 J

KE = 0.14364 J

Using the kinetic energy formula (KE = 1/2 mv²), we solve for the speed:

0.14364 J = 1/2 x 0.300 kg * v²

0.14364 = 0.150 x v²

v² = 0.14364 / 0.150

v² = 0.9576

v = √0.9576

v ≈ 0.978 m/s

Thus, the speed of the mass when it is 0.0600 m from equilibrium is approximately 0.978 m/s.


Related Questions

⚠Heeeeleleleeleleppppp⚠
Which phrase describes conduction?


A.Transfer of heat by the actual movement of warmed matter.


B.Transfer of heat between two objects that are touching.


C.The process in which energy is released by molecules breaking apart.


D.The process in which energy is emitted by one object, transmitted through space, and absorbed by another.

Answers

Yo sup??

the correct answer is option B ie

B. transfer of heat between two objects that are touching .

Hope this helps.

Storms are caused by. I WILL MARK BRAINLIEST




A. radiation



B. convection



C. conduction



D. hurricanes

Answers

Answer:convection

Explanation:

Convection can cause convection

Answer:

conduction is the answer

Explanation:

What is the value of x in the equation Ix - 3y = 30, when y = 15?

Answers

Answer: x= 75

Explanation:1x -3y = 30

And y = 15

Substitute y accordingly into the equation, so that

x - 3(15) = 30

x-45=30

Add 45 to both sides if the equation

x-45+45=30+45

x=75

Write your question here (Keep it simple and clear to get the best answer)what is the dimensions of angular velocity

Answers

Answer:

The dimensions of angular velocity is [tex][T^{-1}][/tex]

Explanation:

We know that linear velocity is equal to the rate of change of linear displacement.

Similarly, in rotational motion, the analogous term for linear velocity is angular velocity.

Angular velocity is defined as the rate of change of angular displacement.

The angular displacement is the measure of the angle rotated by an object about a fixed point or the axis of rotation.

Therefore, the unit of angular displacement is measured in radians. We know that, the radian is a dimensionless quantity. So, its dimension is [tex][M^0L^0T^0][/tex]

Now, time is measured in seconds. So, dimension of time is [tex][M^0L^0T][/tex]

Therefore, the dimensions of angular velocity is given as:

[tex]Angular\ velocity =\frac{Angular\ displacement}{Time}\\\\Dimensions=\frac{[M^0L^0T^0]}{[M^0L^0T]}\\\\Dimensions =[T^{-1}][/tex]

Therefore, the dimensions of angular velocity is [tex][T^{-1}][/tex]

What is the defenition of mass

Answers

Answer:

the total matter contained in a body is called mass

Anything that takes up space.

Sry I didn’t mean to comment


Volume (mL) Mass (g)
200 180
300 270
400 360


A liquid of unknown density is studied. Based on the data, what is the density of the liquid?

Group of answer choices

A 1.1 mL/g

B 0.9 mL/g

C 1.1 g/mL

D 0.9 g/mL

Answers

Answer:

A. 1.11[mL/g]

Explanation:

We have to remember the expression to calculate the density, which says it's the relationship between mass and volume.

We can calculate the different densities for each of the samples.

density1 = m/V = 200/180 = 1.11[mL/g]

density2 = m/V = 300/270 = 1.11[mL/g]

density3 = m/V = 400/270 = 1.11[mL/g]

According to the initial data, we can determine that the density corresponds to 1.11 [mL/g]

PLZ HELP 150 POINTS AND BRAINLIEST

If effort is applied to the wheel, the axle turns with more _______.

If effort is applied to the axle, the wheel turns ______ and ______ than the axle.

The road wheel on a car multiply the _______ of the rear axle.

Applying a light force to turn the steering wheel of a car produces a strong force on the _________.

Answers

Answer:

A wheel and axle may either increase or decrease the input force, depending on whether the input force is applied to the axle or the wheel. ... Because the output force is less than the input force, the mechanical advantage is less than 1. However, the wheel turns over a greater distance, so it turns faster than the axle.

If you apply a force to the wheel (the handle), the wheel spins and multiplies the effort to make the output force of the axle (shaft) greater.

The drive shaft, which on most cars runs the length of the vehicle to the rear wheels, turns as the combustion engine burns gasoline. The turning drive shaft sends power to the rear axle and wheels, which cause them to turn as well, moving the car forward

There some moments when the steering wheel becomes stiff and hard to turn. From irregular servicing, lack of fluid oil to low tyre pressure or bad wheel alignment, any of these could be the cause

hope it helps plz Mark me brainliest :)

Tishaura decides to do an experiment to determine which type of sock
absorbs the most sweat. Which of these describes her doing step two of the
inquiry process?

A. Tishaura asks herself which of the three types of socks in her
drawer seems to be the most absorbent.

B. Tishaura finds that all-cotton socks weigh 0.1 ounce more after
she runs in them.

C. Tishaura measures the weights of four different kinds of socks
before and after she goes running.

D. Tishaura predicts that all-cotton socks will absorb the most sweat,
because she thinks cotton is very absorbent.​

Answers

Answer:

D. Tishaura predicts that all-cotton socks will absorb the most sweat,  because she thinks cotton is very absorbent.​

Explanation:

The steps for scientific inquiry should be:

1. Observation

In this phase, you observe things that pique your interest and formulate a scientific question. This should be option A where Tishaura wonders which sock most absorbent.

2. Hypothesis.

The second step is making a hypothesis, educated guess about what the research result will be. This should be the option D, Tishaura expects that cotton sock absorbs more than others.

3. Experiment  

In the third step, you test the hypothesis by designing and doing an experiment. It will be option C.

4. Analysis of experimental results

Gathering the result and doing analysis to find out if the hypothesis true. Tishaura found that all-cotton sock weight more. This process will be option B  

5. Make a conclusion;

Determine whether you accept the hypothesis or not. There is no option that describes this process.

Step two of the inquiry process should be option D

1) When you take a turn to the left in a car, you feel "thrown" to the right. Explain, using the
language of Newton's first law, how it is incorrect to say a force is responsible for this feeling.
Finish up by explaining what's actually going on.


2) Newton's third law states that for each force acting on a body (action), there is a force of
equal magnitude and opposite direction (reaction) acting on whatever generates the force on the
body. What is the reaction force to your weight?

Answers

Explanation:

1) Newton's first law of motion states: "an object in motion stays in motion, and an object at rest stays at rest, until acted upon by an unbalanced force."

When you're riding in a car, your body is moving forward.  When the car turns left, your inertia keeps you moving forward.  This means the car moves left from underneath you, which makes it feel like you're moving to the right, even though there's no net force pushing you.

2) When you're standing on the ground, the Earth's gravity pulls on you with a force equal to your weight.  You push back on the Earth with an equal and opposite force called "normal force".

Which of the following statements describe the transfer to energy?

1. Collisions of atoms causing nuclear reactions
2. A car speeding up from 5 mi/hr to 40 mi/hr
3. A transformer stepping down the voltage of electricity in power lines
4. A weightlifter lifting 100 lb. bell bar from his chest to a certain height

Answers

Answer: The answer is 1

Explanation:

because the atoms and nuclear

What is the mechanical energy of a 1-kg ball that is rolling on the ground at 2 m/s?

A) The Ball is on the ground, so the mechanical energy is zero

B) 1J

C) 2J

D) 4J
NEED ANSWER ASAP
I will mark the answer brainliest
I literally copied the quiz

Answers

Answer:

c. 2 J

Explanation:

since u just multply it

Mercury, Venus, and Earth are the three planets closest to the Sun. The force of gravity on the surface of each planet is different. Which of the following places these three planets in order from greatest surface gravity to least?
A.
Mercury, Venus, Earth
B.
Earth, Venus, Mercury
C.
Earth, Mercury, Venus
D.
Venus, Earth, Mercury

Answers

B. Earth, Venus, Mercury

Answer:

B. Earth, Venus, Mercury

Explanation:

Look at the incomplete equation below. What does E k Represent?

Answers

Answer:

The kinetic energy

Explanation:

The value of Ek represents the kinetic energy of a body and it is defined by the following equation

[tex]E_{k}=\frac{1}{2} *m*v^{2} \\[/tex]

where:

m = mass [kg]

v = velocity [m/s]

Ek = kinetic energy [J]

The equation [tex]\rm \(E_k = \frac{1}{2} m \times v^2\)[/tex] represents the kinetic energy [tex]\rm (\(E_k\))[/tex] of an object in motion. In this equation, [tex]\rm \(m\)[/tex] represents the mass of the object, and [tex]\rm \(v\)[/tex] represents its velocity.

Kinetic energy is the energy an object possesses due to its motion. The term [tex]\rm \(\frac{1}{2} m \times v^2\)[/tex] calculates the kinetic energy by taking half of the product of the object's mass and the square of its velocity.

As an object's speed increases, its kinetic energy also increases, and kinetic energy is directly proportional to both the mass and the square of the velocity of the object.

know more about kinetic energy:

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What is the current in a 120V circuit if the resistance 10?

Answers

Explanation:

V=IR; I=V/R

V=120V, R=10

I= 120/10=12

The current in the circuit is 12A

Final answer:

The current in a 120V circuit with a resistance of 10 ohms is 12 amperes, as calculated using Ohm's Law.

Explanation:

To calculate the current in a 120V circuit with a resistance of 10 ohms, you can use Ohm's Law, which states that current (I) is equal to voltage (V) divided by resistance (R). Thus,


I = V / R


I = 120V / 10Ω


I = 12A


The current in the circuit is therefore 12 amperes (A).

solve these please I really need help​

Answers

The correct answer for 5 is Electrons

#3 is to break down using a substance

which of these changes does a submarine encounter as it returns from the bottom of the ocean to the surface of the ocean

Answers

Which changes?

Explanation:

What are your options?

3. If 2 J of wok is done in raising a 180 g apple, how far is it lifted?

Answers

Answer:

1.13m

Explanation:

From the question, we obtained the following information:

W = 2J

m = 180g

We must convert this gram (i.e 180g) to kg

1000g = 1Kg

180g = 180/1000 = 0.18kg

g = 9.8m/s2

h =?

w = mgh

h = w / mg

h = 2 / ( 0.18x9.8)

h = 1.13m

I need help with this problem. It’s calculating net force.

Answers

Answer:

The net force on the frog is  zero Newton.

Explanation:

Balance forces are 2 forces that is acting in opposite directions on an object, and equal in size. Anytime there is a balanced force on an object, the object stays still or continues moving continues to move at the same speed and in the same direction

In Figure , the forces exerted on the frog is equal in magnitude and opposite in direction.

Hence

The force , F1 = 200 N and F2 =  -200 N since it is acting in opposite direction

Now the net force =F1 + F2 =  200 - 200 = 0

A mass of 2 kg is hung off a spring,which extends 2 cm determine the energy stored in the spring? ​

Answers

The Energy stored in the spring is 0.196 joules(0.2 joule)

Here mass = 2.0 kg

the length for which the spring extended 'x' = 2 cm

since 1m =100cm, therefore 2cm will be equal to 0.02 m so x=0.02m

Acceleration due to gravity or 'g'= 9.8 m/s^2

We have to find E = ? joules

Solving for the spring constant k

F = kx

F=mg

Therefore,

mg = kx

k = mg / x

k = 2.0 kg * 9.8 m/s^2 / 0.02 m = 980 N / m

Solving for the energy stored in the spring

E = 1/2 * k * x^2

E = 1/2 * 980 N / m * (0.02 m)^2

E = 0.196 joules

The energy stored in the spring will be 0.196 joules.

To know more about Spring constant,

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Think about the process of heating water, the heating and upward motion of hot steam and air, and the spiral spinning. For these events, list each form of energy associated with the heat source, the water, the steam and air, and the spiral.

Kinetic Energy Forms:
-Motion Energy
-Thermal Energy
-Electric Energy
-Vibrational Energy
-Radiant Energy

Potential Energy Forms:
-Gravitational Potential Energy
-Elastic Potential Energy
-Chemical Potential Energy
-Electric Potential Energy
-Magnetic Potential Energy
-Nuclear Potential Energy



Answers

Final answer:

The process involves various energy forms. The heat source equates to chemical potential energy, transitioning into thermal energy. The heated water and upward moving steam embody thermal energy, while the latter also impiles kinetic and gravitational potential energy.

Explanation:

In the process mentioned:

The heat source that is used to heat the water is displaying chemical potential energy, which undergoes transformation into thermal energy when the heat source is ignited.The hot water itself harnesses thermal energy, which is the energy related to the temperature and internal energy of the water system.Hot steam and air moving upwards is another instance of thermal energy, with the added element of kinetic energy due to the upward motion. The rise of heated air and steam can also be seen as a conversion of thermal energy into gravitational potential energy.The spiral spinning invokes kinetic energy, particularly rotational kinetic energy, to produce the spinning motion. This is a direct result of the interaction between the heated air (thermal energy) and the colder surrounding air.

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Suppose you and a friend are standing at opposite ends of a gymnasium and one of you claps will the other person hear the clap at the same time she sees it happen explain why or why not

Answers

Answer:

she will not because when it bounces off that is when u hear it

Explanation:

Answer:

No. Your friend will not hear the clap when he/she sees it.

Explanation:

Explain why a reference points that are stationary are usually chosen to determine whether an object is in motion.

Answers

Answer: Stationary reference points are used to determine if a object is in motion because if the reference point is still,you will be able to see if the object is in motion. If you had a reference point that wasn't stationary, you wouldn't be able to tell if the object was in motion.

Explanation:

Stationary reference points are used to determine if a object is in motion because if the reference point is still,you will be able to see if the object is in motion. If you had a reference point that wasn't stationary, you wouldn't be able to tell if the object was in motion.

Final answer:

Choosing a stationary reference point is important to determine motion because motion is relative and can appear differently from different reference frames.

Explanation:

A stationary reference point is usually chosen to determine whether an object is in motion because motion is a relative term. When we observe motion from a reference point that is stationary, we can easily identify the displacement and velocity of the object. For example, if we are in a car that is moving at a constant velocity, it may be difficult to determine whether an object inside the car is moving or not. However, if we observe the same object from outside the car, from a stationary reference point, we can clearly see whether it is in motion or not.

Learn more about Motion here:

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Describe what is meant by “a constant change of direction”. Identify whether the examples provided
show a constant change of direction when moving. (S8P3a)
a. A merry-go-round spinning in circles.
b. A wind vane swinging around.
c. A kid walking on a straight path.

Answers

A because I heard it is

A constant change of direction implies ongoing alterations in the course of movement, typically involving centripetal acceleration. A merry-go-round and a wind vane demonstrate this, while a kid walking straight does not.

"A constant change of direction" refers to a situation where an object or point is continually altering the course of its movement. In the context of physics and motion, this typically indicates the presence of centripetal acceleration, which is the acceleration directed towards the center of a circular path that keeps an object moving in a curve rather than a straight line.

A merry-go-round spinning in circles displays a constant change of direction due to the rotational movement with each point on the ride continuously changing its direction as it moves in a circle.

A wind vane swinging around also shows a constant change of direction as it repeatedly changes which way it's pointing due to shifting wind directions.

A kid walking on a straight path does not exhibit a constant change of direction because the motion is linear and not curved.

A 0.250 kg mass is attached to a spring with k=18.9 N/m. At the equilibrium position, it moves 2.89 m/s. What is the amplitude of the oscillation? (Unit=m)

Answers

Answer: the frequency of the oscillation is given by ω=√(k/m)=√(18.9/2.5)=2.75.  Keep in mind this is angular frequency, i.e. radians per second, not wavelengths per second.  So the displacement can be written in the form

y = R*sin(2.75*t - δ)

Here δ is just the time offset and for our purposes is pretty irrelevant.  You can in fact set it to zero since we can say we begin timing when the mass crosses equilibrium.  So

y = R*sin(2.75*t)

We want to find a way to use the information "At the equilibrium position, it moves 2.89 m/s."  I am going to use some calculus here since it makes things so much easier.  If you haven't taken calculus yet, most likely your course has given you a formula to use instead.

 We know y=0 when t=0, so y is at equilibrium when t=0.  To say it moves 2.89 m/s is then to say that

y'(0) = 2.89.

From here we can differentiate the displacement function, set t=0 and solve for R.  Using the chain rule:

y'(t) = 2.75*R*cos(2.75*t)

y'(0) = 2.75*R

2.75*R = 2.89

R = 1.051

Explanation: Since this is harmonic motion we can assume there is no damping force

Answer:

its .33

Explanation:

trust me

If you need some help working through family problems, who would be the best choice to seek it from?

clinical psychologist
counseling psychologist
sociocultural psychologist
developmental psychologist

Answers

Answer:

counseling psychologist

A rocket, weighing 4.36 x 10^4 N, has an engine that provides an upward force of 8.90 x 10^5 N. It reaches a maximum speed of 860 m/s. What is the NET force on the rocket

Answers

The net force on the rocket is  846400 N.

Answer:

Explanation:

It is known that weight is the influence of gravitational force acting on any mass of the object. So in the present case, the weighing force given is equal to the gravitational force acting on the rocket. Thus, the gravitational force will be acting towards downward direction. But an upward force is required by the rocket for thrusting purpose and that force is given as upward force. So the net force acting on the rocket is the vector addition of all the forces acting on the rocket. As in this case, only upward and downward force is acting on the rocket. The vector addition will be equal to subtraction of downward acting gravitational force from upward force or force provided by engine.

Net force = Engine force - Gravitational force = 890000-43600=846400 N

So the net force acting on the rocket is 846400 N.

Final answer:

The net force on the rocket is the difference between the upward thrust and the weight of the rocket. However, once the rocket reaches constant velocity, the net force is zero, assuming no changes in other forces acting on the rocket.

Explanation:

The net force on the rocket can be calculated using Newton's second law of motion, which states that the net force is equal to the mass times acceleration (F = ma). To find the net force, the weight of the rocket (gravitational force acting downward) needs to be subtracted from the upward thrust provided by the engine.

Fnet = Fthrust - Fweight

If we are not given the mass of the rocket or information about changes in the velocity to calculate acceleration, it's assumed that the rocket is in a constant velocity phase of its flight, meaning the net force equals to zero, since acceleration is zero. If acceleration were to be considered, it would've been calculable only with additional information pertaining to the time it takes to reach that velocity or change in velocity over time.

In the example provided, the weight of the rocket is 4.36 x 104 N and the thrust is 8.90 x 105 N. Once the rocket reaches its maximum speed, the acceleration is zero, and therefore the net force should also be zero as it will be cruising at a constant speed, provided there is no change in the forces acting on the rocket.

If C moves to position 5 (60 meters), what is its average velocity during these 5 seconds?
(A
10 m/s
(B
11 m/s
C)
12 m/s
D)
13 m/s

Answers

If C moves to position 5 (60 meters), the average velocity during these 5 seconds is 12m/s

Explanation:

Velocity can be defined as the rate of change of position with respect to the time.Velocity is the vector quantity as it indicates displacement direction and time.Average velocity of an object is total displacement by total time.

Velocity can be calculated by using formula v=d/t. where v=velocity, d=distance and t= time duration.

Average velocity can be calculated by,  v= (Δx)×(Δt) Where Δx is the total displacement of the body and ∆t is the time.

The SI unit of velocity is m/s.

Answer:

12 m/s

Explanation:

The average velocity is simply the change in displacement over the specified time interval. In this case we have a total of five intervals, which represents 5 seconds. Dividing 60 m by 5s, gives us 12 m/s, which is the magnitude of the average speed in the interval.

If a particle with a charge of +4.3 × 10−18 C is attracted to another particle by a force of 6.5 × 10−8 N, what is the magnitude of the electric field at this location?

2.2 × 1026 NC
2.8 × 10−25 NC
1.5 × 1010 N/C
6.6 × 10−11 N/C

Answers

Answer: 1.5×10^10 N/C

Explanation:

E= F/q

Where E= magnitude of the electric field

F= force of attraction

q= charge of the given body

Given F= 6.5×10^-8 N

q= 4.3× 10^-18 C

Therefore, E = 6.5×10 ^-8/ 4.3×10^-18

E = 1.5×10^10 N/C

Answer:

1.5*10^10 N/C

Explanation:

The Force per Charge Ratio

Electric field strength is a vector quantity; it has both magnitude and direction. The magnitude of the electric field strength is defined in terms of how it is measured. Let's suppose that an electric charge can be denoted by the symbol Q. This electric charge creates an electric field; since Q is the source of the electric field, we will refer to it as the source charge. The strength of the source charge's electric field could be measured by any other charge placed somewhere in its surroundings. The charge that is used to measure the electric field strength is referred to as a test charge since it is used to test the field strength. The test charge has a quantity of charge denoted by the symbol q. When placed within the electric field, the test charge will experience an electric force - either attractive or repulsive. As is usually the case, this force will be denoted by the symbol F. The magnitude of the electric field is simply defined as the force per charge on the test charge.

ELECTRIC FIELD STRENGTH= FORCE/CHARGE

If the electric field strength is denoted by the symbol E, then the equation can be rewritten in symbolic form as

E=F/q

I got this from electric field intensity; physics classroom.

https://www.physicsclassroom.com/class/estatics/Lesson-4/Electric-Field-Intensity

and please no one should report me. was just trying to help. And I already got a warning. PLEASE!!! THANK YOU VERY MUCH.

and also this picture of me doing the test explains everything

.Hope I helped

a 2.0 kg mass is lifted 4.0 m above the ground. find the change in gravitational energy

Answers

Answer:

78.4 J

Explanation:

Given:

Mass of the object (m) = 2.0 kg

Height or displacement of the mass (h) = 4.0 m

Now, change in gravitational potential energy (ΔU) = ?

Change in gravitational potential energy of an object is the energy stored by the object when it is raised to some height above the reference ground level.

Change in gravitational potential energy of an object of mass 'm' raised to a height 'h' above the ground is given as:

[tex]\Delta U=mgh[/tex]

Where, 'g' is the acceleration due to gravity and has a value of 9.8 m/s².

Now, plug in all the given values and solve for ΔU. This gives,

[tex]\Delta U=(2.0\ kg)(9.8\ m/s^2)(4.0\ m)\\\\\Delta U=78.4\ J[/tex]

Therefore, the change in gravitational potential energy is 78.4 J.

The change in gravitational energy when a 2.0 kg mass is lifted 4.0 m above the ground is [tex]\(78.4 \, \text{J}\)[/tex].

The change in gravitational potential energy [tex](\(\Delta U\))[/tex] when a mass \(m\) is lifted to a height [tex]\(h\)[/tex] is given by the formula:

[tex]\[\Delta U = m \times g \times h\][/tex]

where:

[tex]\(m\)[/tex] is the mass of the object (in kilograms),

[tex]\(g\)[/tex] is the acceleration due to gravity (approximately [tex]\(9.8 \, \text{m/s}^2\)[/tex] on Earth),

[tex]\(h\)[/tex] is the height above the ground (in meters).

Given:

[tex]\(m = 2.0 \, \text{kg}\)[/tex]

[tex]\(h = 4.0 \, \text{m}\)[/tex]

[tex]\(g \approx 9.8 \, \text{m/s}^2\)[/tex]

Plugging in the values:

[tex]\[\Delta U = 2.0 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 4.0 \, \text{m}\][/tex]

[tex]\[\Delta U = 78.4 \, \text{kg} \cdot \text{m}^2/\text{s}^2\][/tex]

Since [tex]\(1 \, \text{kg} \cdot \text{m}^2/\text{s}^2\)[/tex] is equivalent to [tex]\(1 \, \text{Joule}\) (J)[/tex], the change in gravitational potential energy is:

[tex]\[\Delta U = 78.4 \, \text{J}\][/tex]

the particle in the atom with a negative charge is the blank

Answers

Answer:

the electron.

Explanation:

the atom has 3 types of particles: protons, neutrons, and electrons. protons have a positive charge, neutrons have a neutral charge, and they are both located in the nucleus. the electron is negatively charged, and it's located in the electron cloud, outside the nucleus.

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