Sophia pushes with a 40-N horizontal force on a 4.0-kg box resting on a lab bench. The box slides against a horizontal friction force of 24 N. show that the box acceleration at 4.0 m/s2

Answers

Answer 1

Answer:

   a = 4.0 m / s²,     so the result of the exercise is correct

Explanation:

This is an exercise on Newton's Second Law

               F = m a

we create a reference system with the horizontal x axis and the vertical y axis

Axis y

             N -W = 0

X axis

              F -fr = m a

give us the applied force F = 40 N, the value of the friction outside fr = 24 N

               a = (F - fr) / m

         

let's calculate

              a = (40 - 24) / 4

              a = 4.0 m / s²

so the result of the exercise is correct


Related Questions

Upon being struck by 240-nm photons, a metal ejects electrons with a maximum kinetic energy of 2.97 eV. What is the work function of this metal?

Answers

Answer:

Work Function = 3.53 x 10⁻¹⁹ J = 2.2 eV

Explanation:

The work function of the metal metal can be found as follows:

Energy of Photon = Work Function + K.E

hc/λ = Work Function + K.E

Work Function = hc/λ - K.E

where,

h = Plank's Constant = 6.625 x 10⁻³⁴ J.s

c = speed of light  = 3 x 10⁸ m/s

λ = wavelength of photons = 240 nm = 2.4 x 10⁻⁷ m

K.E = Maximum Kinetic Energy = (2.97 eV)(1.6 x 10⁻¹⁹ J/1 eV) =  4.752 x 10⁻¹⁹ J

Therefore,

Work Function = (6.625 x 10⁻³⁴ J.s)(3 x 10⁸ m/s)/(2.4 x 10⁻⁷ m) - 4.752 x 10⁻¹⁹ J

Work Function = 8.281 x 10⁻¹⁹ J - 4.752 x 10⁻¹⁹ J

Work Function = 3.53 x 10⁻¹⁹ J = 2.2 eV

A 66.1-kg boy is surfing and catches a wave which gives him an initial speed of 1.60 m/s. He then drops through a height of 1.59 m, and ends with a speed of 8.51 m/s. How much nonconservative work (in kJ) was done on the boy?

Answers

A 66.1-kg boy is surfing and catches a wave which gives him an initial speed of 1.60 m/s. He then drops through a height of 1.59 m, and ends with a speed of 8.51 m/s. The nonconservative work done on the boy is approximately -42.7 kilojoules.

To find the nonconservative work done on the boy, we need to consider the change in the boy's mechanical energy during the process. Mechanical energy is the sum of the boy's kinetic energy (KE) and gravitational potential energy (PE).

The initial mechanical energy of the boy is given by the sum of his kinetic energy and potential energy when he catches the wave:

E_initial = KE_initial + PE_initial

The final mechanical energy of the boy is given by the sum of his kinetic energy and potential energy after he drops through the height:

E_final = KE_final + PE_final

The nonconservative work done on the boy is equal to the change in mechanical energy:

Work_nonconservative = E_final - E_initial

Let's calculate each term:

KE_initial = (1/2) * m * v_initial^2

= (1/2) * 66.1 kg * (1.60 m/s)^2

PE_initial = m * g * h_initial

= 66.1 kg * 9.8 m/s^2 * 1.59 m

KE_final = (1/2) * m * v_final^2

= (1/2) * 66.1 kg * (8.51 m/s)^2

PE_final = m * g * h_final

= 66.1 kg * 9.8 m/s^2 * 0

Since the boy ends at ground level, the final potential energy is zero.

Substituting the values into the equation for nonconservative work:

Work_nonconservative = (KE_final + PE_final) - (KE_initial + PE_initial)

Simplifying:

Work_nonconservative = KE_final - KE_initial - PE_initial

Calculating the values:

KE_initial = (1/2) * 66.1 kg * (1.60 m/s)^2

PE_initial = 66.1 kg * 9.8 m/s^2 * 1.59 m

KE_final = (1/2) * 66.1 kg * (8.51 m/s)^2

Substituting the values:

Work_nonconservative = [(1/2) * 66.1 kg * (8.51 m/s)^2] - [(1/2) * 66.1 kg * (1.60 m/s)^2 - 66.1 kg * 9.8 m/s^2 * 1.59 m]

Calculating the result:

Work_nonconservative ≈ -42.7 kJ

Therefore, the nonconservative work done on the boy is approximately -42.7 kilojoules. The negative sign indicates that work is done on the boy, meaning that energy is transferred away from the boy during the process.

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Under what conditions does moving electric charge produce a magnetic force
in a copper wire?
A. Under any conditions
B. Only when the wire is connected to the magnet
C. Only when the wire is wrapped around an iron bar
D. Only when the wire is coiled

Answers

Answer:

I'm pretty sure that the answer is C. Hope this helps.

Explanation:

Answer:

Answer is A. Under any conditions

Explanation:

Just got it correct on A p e x

Mass
7. If the mass of the diver is 75 kg. What is the height he jumped
from?

Answers

Answer:

The height from which the diver jumped can be calculated using the laws of motion and the principle of conservation of energy.

Let's assume that the diver jumped from a platform with an initial velocity of zero. The potential energy (PE) of the diver at the top of the platform is given by:

PE = mgh

Where m is the mass of the diver, g is the acceleration due to gravity (9.8 m/s^2), and h is the height from which the diver jumped.

When the diver jumps, the potential energy is converted into kinetic energy (KE) as the diver moves downwards. The kinetic energy of the diver just before hitting the water is given by:

KE = (1/2)mv^2

Where v is the velocity of the diver just before hitting the water.

According to the principle of conservation of energy, the potential energy at the top of the platform is equal to the kinetic energy just before hitting the water. Therefore, we can equate the two equations above and solve for h:

mgh = (1/2)mv^2

h = (1/2)v^2/g

We need to find the value of v to calculate h. We can use the kinematic equation:

v^2 = u^2 + 2as

Where u is the initial velocity (which is zero in this case), a is the acceleration due to gravity (9.8 m/s^2), and s is the distance travelled by the diver (which is equal to h).

Substituting the values, we get:

v^2 = 2gh

v^2 = 2 * 9.8 * h

v^2 = 19.6h

Therefore:

h = v^2/(19.6)

Now, let's assume that the velocity of the diver just before hitting the water was 10 m/s (a reasonable value for a diving competition). Then:

h = (10^2)/(2*9.8) = 51 meters

Therefore, the height from which the diver jumped is approximately 51 meters.

¿Con qué cualidad del sonido está relacionada la Amplitud de onda?

Answers

Answer:

Amplitud (dinámica)

Explanation:

La amplitud de una onda de sonido determina su volumen relativo. En música, el volumen de una nota se denomina nivel dinámico.

Astronauts increased in height by an average of approximately 40 mm (about an inch and a half) during the Apollo-Soyuz missions, due to the absence of gravity compressing their spines during their time in space. Does something similar happen here on Earth

Answers

Answer:

Yes. Something similar occurs here on Earth.

Explanation:

Gravity tends to pull objects perpendicularly to the ground. In space, the absence of this force means there is no compression on the spine due to gravity trying to pull it down. This means that astronauts undergo an increase in height in space.

Here on Earth, we experience gravity pull on our spine during the day. At night when we sleep, we lie down with our spine parallel to the ground, which means that our spine is no longer under compression from gravity force. The result is that we are a few centimetres taller in the morning when we wake up, than we are before going to bed at night. The increase is not much pronounced here on Earth because there is a repeated cycle of compression and decompression of our spine due to gravity, unlike when compared to that of astronauts that spend long duration in space, all the while without gravity forces on their spine

A skier at the bottom of a hill has 900J of kinetic energy. After sliding a ways along the flat, the kinetic energy is 300J. How much energy was lost due to friction?

Answers

Answer:

600 J

Explanation:

900 j = 300j = 600 j lost due to friction

Energy lost due to friction is 600 J.

The kinetic energy before and after friction is given as 900J and 300J.

What is friction?

   The force that resists the sliding or rolling over one object with another is called friction. The energy which possess in virtue of being in motion is said to be Kinetic Energy.

                                   f = μN

                      Energy lost = 900J - 300J

                                          =  600J

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According to the table what was the hikers total displacement the graph has 4km 6km 4km 6km

Answers

Answer:

0

Explanation:

0 is the answer

If tony uses a force of 1525 N to drive his car a distance of 381 m, how much work is done on his car?

Answers

Hello!!

For calculate the work let's applicate the formula:

\(\boxed{W=Fd}\)

\(\textbf{Being:}\)

\(\sqrt{}\) W = Work = ?

\(\sqrt{}\) F = Force = 1525 N

\(\sqrt{}\) d = Distance = 381 m

⇒ \(\text{Then let's \textbf{replace it according} we information:}\)

W = 1525 N * 381 m

⇒ \(\text{Let's resolve it: }\)

W = 581025 J

\(\textbf{Result:}\\\text{The work is \textbf{581025 Joules}}\)

Work done on an object is the product of force and displacement. The work done on the car by the force of 1525 N making a displacement of 381 m is 581 KJ.

What is work done?

When a force applied to an object make a displacement of  the body or stopes its motion, the force is said to be work done on the object. Thus, work done can be taken as the product of force and displacement.

Work done like force is a vector quantity thus characterized with magnitude and direction.  Work done is equivalent to the energy required to make the object displaced.

Given the force = 1525 N

displacement = 381 m

work done  = force × displacement

w = 1525 N × 381 m = 581 KJ.

Therefore, the work done on the car is 581 KJ.

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A SOLID OF MASS 1.3KG Suspended by a spring Is Completely Immersed in H₂0. If the tension in the spring is 6N. Calculate: a. upthrust on the solid b. the volume of the solid c. Density (take g=10m/s², density of H₂0= 1000kg/m³)​

Answers

a. Upthrust on the solid:

\(Upthrust = volume of solid * density of fluid * g = 1000 kg/m^3 * volume of solid * 10 m/s^2\)

b. Volume of the solid:

\(volume = mass/density = 1.3 kg / (1000 kg/m^3) = 1.3 x 10^-3 m^3\)

c. Density of the solid:

So,\(density = mass/volume = 1.3 kg / (1.3 x 10^-3 m^3) = 1000 kg/m^3\)

What is upthrust?

Upthrust is the upward force exerted on an object immersed in a fluid. It is equal to the weight of the fluid displaced by the object and acts in the opposite direction to gravity. Upthrust helps to counteract the weight of the object and keep it afloat.

a. The upthrust on an object immersed in a fluid is equal to the weight of fluid displaced by the object. The weight of fluid displaced can be calculated using the formula:

Weight of fluid = volume of fluid * density of fluid * g

Since the solid is completely immersed in water, the volume of the fluid displaced is equal to the volume of the solid. The density of water is given as 1000 kg/m^3, and the acceleration due to gravity is given as\(10 m/s^2.\)

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Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform acceleration towards (-)direction, Uniform deceleration towards (+) direction and Uniform deceleration towards (-) direction in displacement time graph.Can you draw the shapes for each type ?

Answers

Explanation:

Yes, there are differences in the shapes of position-time graphs for uniform acceleration and uniform deceleration in different directions. Let's consider each case separately:\(\hrulefill\)

(1) - Uniform acceleration towards the positive direction:

In this case, the object is moving in the positive direction with a constant acceleration. The displacement-time graph will typically be a curve that starts from an initial position and shows a steady increase in displacement over time. The shape of the graph will depend on the specific acceleration value.

(2) - Uniform acceleration towards the negative direction:

In this case, the object is moving in the negative direction with a constant acceleration. The displacement-time graph will also be a curve, but it will show a steady decrease in displacement over time.

(3) - Uniform deceleration towards the positive direction:

In this case, the object is initially moving in the positive direction but is slowing down with a constant deceleration. The displacement-time graph will be a curve that starts with a positive slope and gradually levels off.

(4) - Uniform deceleration towards the negative direction:

In this case, the object is initially moving in the negative direction but is slowing down with a constant deceleration. The displacement-time graph will be a curve that starts with a negative slope and gradually levels off.

Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform
Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform
Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform
Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform

Given the functions f(x)=(1/x-3)+1 and g(x) = (1/1+4)+3
Which statement describes the transformation of the graph of function f onto the graph of function g?
O The graph shifts 2 units right and 7 units down.
O The graph shifts 7 units left and 2 units up.
O
e graph shifts 7 units right and 2 units down.
O The graph shifts 2 units left and 7 units up.

Given the functions f(x)=(1/x-3)+1 and g(x) = (1/1+4)+3Which statement describes the transformation of

Answers

The statement that describes the transformation of the graph of function f onto the graph of function g is: The graph shifts 2 units right and 7 units down.

To determine the transformation of the graph of function f onto the graph of function g, we compare the two functions f(x) and g(x) and observe the changes in the equations.

The function f(x) = (1/x - 3) + 1 represents a reciprocal function that is shifted vertically 1 unit up and horizontally 3 units to the right. The reciprocal function is reflected about the line y = x.

The function g(x) = (1/(1 + 4)) + 3 simplifies to g(x) = 4 + 3 = 7, which is a constant function representing a horizontal line at y = 7.

By comparing the equations, we can see that the transformation from f(x) to g(x) involves the following changes:

The term 1/x in f(x) is replaced by the constant 1/(1 + 4) in g(x), resulting in a vertical shift of 7 units up.

The term -3 in f(x) is replaced by 3 in g(x), resulting in a vertical shift of 3 units up.

The +1 in f(x) is replaced by +3 in g(x), resulting in an additional vertical shift of 2 units up.

Therefore, the overall transformation is a shift of 2 units to the right and 7 units down.

Hence, the correct statement is: The graph shifts 2 units right and 7 units down.

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Jamaal has done an experiment using a mirror to
investigate how light is reflected.
He measures the angle of incidence and the
angle of reflection. Here are his results plotted
on a graph.

a. Which result or results should be repeated?

b. Why?

C. Where should Jamaal draw a line of best fit?

Answers

a. The results should be repeated is 40.

b. because because it's not accurate.

c. Jamaal draw a line of best fit at the middle of the reflection angel and incidence angle.

With an example, what is the angle of incidence?

The angle created when a sunlight ray strikes a line that is perpendicular to a surface; for instance, a surface facing the sun directly has an angle of incidence of 0, while a surface parallel to the sun (such as sunlight striking a horizontal rooftop) has an angle of incidence of 90°.

The light ray that reflects off the surface is referred to as the reflected ray, and the angle at which the reflected ray reflects off the surface is referred to as the reflection angle. The law of reflection states that the angle of incidence and angle of reflection are equal.

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1. A 1.15-kg block is released from rest on a frictionless inclined plane. The inclined plane forms an angle of 35° with the
ground. The block slides down the inclined plane and compresses a spring at the bottom by 3.5 cm and stops momentarily.
If 334 N are required to compress the spring by 2.4 cm, what distance has the block travelled?
>

Answers

Answer:

Explanation:

We can use the work-energy principle to solve this problem. The work-energy principle states that the work done on an object is equal to the change in kinetic energy of the object.

We can begin by finding the spring constant (k) of the spring. The spring constant is the force required to compress a spring by a certain distance. We can use the information given to us in the problem to find the spring constant:

k = F / x = 334 N / 0.024 m = 13,916.67 N/m

Now we can use the spring constant, the compression distance (3.5 cm) and the mass of the block (1.15 kg) to find the work done on the block as it compresses the spring:

work = 1/2 * k * x^2 = 1/2 * 13,916.67 N/m * (0.035 m)^2 = 97.4 J

Since the block is released from rest, its initial kinetic energy is zero. So, the work done on the block as it compresses the spring is equal to its final kinetic energy.

We know that the block slides down on a frictionless incline, so we need to consider the work done by gravity on the block during its motion. The work done by gravity is given by the equation:

work = force * distance * cos(theta)

where force is the force of gravity acting on the block, distance is the distance the block slides down the incline and theta is the angle of the incline with the ground.

force = m * g , where m = 1.15 kg and g = 9.8 m/s^2

distance = s

theta = 35°

substituting the values

work = (1.15 kg * 9.8 m/s^2) * s * cos(35°)

Now we can add the work done by gravity to the work done by the spring to find the total work done on the block.

work = 97.4 J + (1.15 kg * 9.8 m/s^2) * s * cos(35°) = 97.4 J + (11.37 N) * s * cos(35°)

Now we can solve for s, the distance the block travelled.

s = (97.4 J) / (11.37 N * cos(35°))

The final answer will be in meters.

Which statements describe the principles of the big bang theory? Check all that apply. The universe is continuing to expand. A massive explosion caused matter and energy to expand and form the universe. The cause of the big bang was dark matter and dark energy. The universe expanded, but its size is now remaining constant. The universe is slowly collapsing and getting smalle

Answers

Correct statements are

The universe is continuing to expand. A massive explosion caused matter and energy to expand and form the universe. The cause of the big bang was dark matter and dark energy.

The universe is continuing to expand.

A massive explosion caused matter and energy to expand and form the universe.

The height of a helicopter above the ground is given by h = 2.80t3, where h is in meters and t is in seconds. At t = 2.45 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?

Answers

Answer:

1.45

Explanation:

calculate the average speed of talias car during the trip

Answers

Answer:

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

No, I'm never gonna give you up

No, I'm never gonna let you down

No, I'll never run around and hurt you

Never, ever desert you

We've known each other for so long

Your heart's been aching but

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

No, I'm never gonna give you up

No, I'm never gonna let you down

No, I'll never run around and hurt you

I'll never, ever desert you

Explanation:

RICK ROLLED

A scientist is measuring various properties of a sound wave. She measures the value 340 m/s. Which of the following wave characteristics could this value correspond to?

A.
wavelength of the sound wave
B.
period of the sound wave
C.
wave speed of the sound wave
D.
frequency of the sound wave

Answers

It’s either. A or D

Answer:

B. period of the sound wave

1st block

Worksheet: Metric Prefixes

A. Circle the larger unit:

1.millimeter, centimeter

2. kilogram, megagram

3. microsecond, millisecond

4.dL, mL

5.mg, kg

6. Mm,mm

7. S, cs

8. M, mm

9. U s, ks

Answers

Solution:

1. millimeter, centimeter

 1 centimeter = 10 millimeter

 So, centimeter is the larger unit here.

2. kilogram, megagram

    1 megagram = 1000 kilogram

   So, megagram is the larger unit here.

3. microsecond, millisecond

    1 millisecond = 1000 microsecond

   So, millisecond is the larger unit here.

4.dL, mL

  1 dL = 100 mL

So, dL is the larger unit here.  

5.mg, kg

  1 mg = 0.000001 kg

 So, kg is the larger unit here.

6. Mm,mm

   1 mm = 1 mm

  Both are same

7. S, cs

   1 second = 100 centisecond

So, S is the larger unit.  

8. M, mm

   1 M  = 1000 mm

So, M is the larger unit here.  

9. U s, ks

   Us is larger.

Match the Erikson stage with the example and the Piaget stage with example. This is a little harder but will be good practice for
your exam.
✓identity vs role confusion
✓ concrete operational stage
✓ sensorimotor stage
✓integrity vs despair
✓ intimacy vs isolation
A. Mo does not know what he wants to do after graduation.
Maybe join the army, maybe go to Wake Take?
B. Mo is an older adult and is questioning all of the
accomplishments he completed in life.
C. Mo is beginning to acquire motor skill and develop object
permanence.
D. Mo is developing healthy friendships but is still struggling
with forming a relationship with a significant other.
E. Mo can think logically and has mastered the law on
conservation.

Answers

A. Identity vs role confusion: Mo's uncertainty about post-graduation plans.

B. Integrity vs despair: Mo's questioning of life accomplishments as an older adult.

C. Sensorimotor stage: Mo's development of motor skills and object permanence.

D. Intimacy vs isolation: Mo's struggle with forming relationships.

E. Concrete operational stage: Mo's ability to think logically and understand conservation.

A. The example matches with the Erikson stage of "identity vs role confusion." During this stage, individuals go through a period of exploration and self-discovery to establish a sense of identity and determine their roles and goals in life. Mo's uncertainty about what he wants to do after graduation reflects the challenges and decision-making processes associated with identity formation.

B. The example matches with the Erikson stage of "integrity vs despair." This stage occurs in late adulthood, where individuals reflect on their life choices, accomplishments, and experiences. Mo, as an older adult questioning his accomplishments, is facing the task of finding a sense of integrity and satisfaction with the life they have lived or experiencing feelings of despair and regret.

C. The example matches with the Piaget stage of "sensorimotor stage." This stage occurs in infancy, where children develop coordination and motor skills and begin to understand object permanence, which is the understanding that objects continue to exist even when they are out of sight. Mo's acquisition of motor skills and developing object permanence aligns with the characteristics of the sensorimotor stage.

D. The example matches with the Erikson stage of "intimacy vs isolation." This stage occurs during early adulthood, where individuals seek to form deep and meaningful relationships with others. Mo's struggle with forming a relationship with a significant other reflects the challenges and conflicts associated with the intimacy vs isolation stage.

E. The example matches with the Piaget stage of "concrete operational stage." This stage occurs in middle childhood, where children develop logical thinking and can grasp the concept of conservation. Mo's ability to think logically and understand the law of conservation aligns with the characteristics of the concrete operational stage.

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How does the force of gravity relate to size?

Answers

Answer:

Gravitational force is an attraction between masses. The greater the size of the masses, the greater the size of the gravitational force (also called the gravity force). The gravitational force weakens rapidly with increasing distance between masses

Could I get help on this question please . My parents won’t help me /:

Could I get help on this question please . My parents wont help me /:

Answers

Answer:

Tarzan will be moving at 7.4 m/s.

Explanation:

From the question given above, the following data were obtained:

Height (h) of cliff = 2.8 m

Initial velocity (u) = 0 m/s

Final velocity (v) =?

NOTE: Acceleration due to gravity (g) = 9.8 m/s²

Finally, we shall determine how fast (i.e final velocity) Tarzan will be moving at the bottom. This can be obtained as follow:

v² = u² + 2gh

v² = 0² + (2 × 9.8 × 2.8)

v² = 0 + 54.88

v² = 54.88

Take the square root of both side

v = √54.88

v = 7.4 m/s

Therefore, Tarzan will be moving at 7.4 m/s at the bottom.

g Design an experiment you can use to determine the mass of the metal cylinder. When you explain your experiment, be sure to mention: What is the underlying model (equation) that you can use to determine the mass from your measurements

Answers

Answer:

m = \(\frac{k}{g}\) x,

graph of x vs m

Explanation:

For this exercise, the simplest way to determine the mass of the cylinder is to take a spring and hang the mass, measure how much the spring has stretched and calculate the mass, using the translational equilibrium equation

              F_e -W = 0

              k x = m g

              m = \(\frac{k}{g}\) x

We are assuming that you know the constant k of the spring, if it is not known you must carry out a previous step, calibrate the spring, for this a series of known masses are taken and hung by measuring the elongation (x) from the equilibrium position, with these data a graph of x vs m is made to serve as a spring calibration.

  In the latter case, the elongation measured with the cylinder is found on the graph and the corresponding ordinate is the mass

you are boiling water to make pasta. How could you descibribe the pot, water, and pasta using physical properties?

Answers

Answer:

Yes

Explanation:

As a personification

Answer: heat,h2o,food

Explanation:

It is all Physical properties

A fast Humvee drove from desert A to desert B. For the first 12
hours, it travelled at an average speed of 185 km/h. For the
next 13 hours, it travelled at an average speed of 160 km/h.
What was the average speed of the whole journey?
km/h

Answers

Answer:

v = 172 km/h

Explanation:

For the first 12  hours, it traveled at an average speed of 185 km/h. Let d₁ is distance. So,

\(d_1=v_1\times t_1\\\\d_1=185\ km/h\times 12\ h\\\\d_1=2220\ km\)

For the  next 13 hours, it traveled at an average speed of 160 km/h. Let d₂ is the distance. So,

\(d_2=v_2\times t_2\\\\d_2=160\ km/h\times 13\ h\\\\d_2=2080\ km\)

Average speed = total distance/time taken

So,

\(v=\dfrac{d_1+d_2}{t_1+t_2}\\\\v=\dfrac{2220+2080}{12+13}\\\\v=172\ km/h\)

So, the average speed of the whole journey is 172 km/h.

As shown, the two charges are 3 cm apart. What will happen to this force if the distance between the charges is doubled? Use proportional reasoning to find the answer and then check by moving the charges.​

As shown, the two charges are 3 cm apart. What will happen to this force if the distance between the

Answers

Answer:

if the distance between the two charges is doubled, the attraction or repulsion becomes weaker, decreasing to one-fourth of the original value. If the charges come 10 times closer, the size of the force increases by a factor of 100. The size of the force is proportional to the value of each charge.

When charges are 3 centimeters apart if the distance between the charges is doubled, the force between them is reduced by a factor of four.

What is Coulomb's Law?

Coulomb's law can be stated as the product of the charges and the square of the distance between them determine the force of attraction or repulsion acting in a straight line between two electric charges.

F= k Q₁Q₂/r²

Where F is the force between two charges

As given in the problem, the two charges are 3 centimeters apart, then we have to find out what will happen to this force if the distance between the charges is doubled.

As per Coulomb's law, the force is inversely proportional to the square of the distance between charges.

Thus, the force between them is reduced by a factor of four.

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two particles with equal charge experiences a force of 12 nN where they are 30 cm apart. what is the magnitude of the charge on each particle

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Considering the Coulomb's Law, the magnitude of the charge on each particle is 4.2426 C.

Definition of Coulomb's Law

Coulomb's law or law of electrostatics is the relationship between the interactions of electric charges, that is, it explains the force experienced by two electric charges at rest.

This law says that the electric force with which two point charges at rest attract or repel each other is directly proportional to the product of the magnitude of both charges and inversely proportional to the square of the distance that separates them, expressed mathematically as:

\(F=k\frac{Qq}{d^{2} }\)

where:

F is the electrical force of attraction or repulsion. It is measured in Newtons (N).Q and q are the values ​​of the two point charges. They are measured in Coulombs (C).d is the value of the distance that separates them. It is measured in meters (m).k is a constant of proportionality called the Coulomb's law constant. It depends on the medium in which the charges are located. Specifically for vacuum k is approximately 9×10⁹ \(\frac{Nm^{2} }{C^{2} }\).

The force is attractive if the charges are of opposite sign and repulsive if they are of the same sign.

Magnitude of the charge on each particle

In this case, you know that:

F= 12 nN= 1.8×10⁻⁸ N (being 1 nN= 1×10⁻⁹ N)k= 9×10⁹ \(\frac{Nm^{2} }{C^{2} }\)Q= qd= 30 cm= 0.3 m (being 100 cm= 1 m)

Replacing in the Coulomb's Law:

\(1.8x10^{-8} N=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{Qq}{(0.3 m)^{2} }\)

Being Q=q:

\(1.8x10^{-8} N=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{q^{2} }{(0.3 m)^{2} }\)

Solving:

1.8×10⁻⁸ N÷ 9×10⁹ \(\frac{Nm^{2} }{C^{2} }\)= q²÷ (0.3 m)²

2×10⁻¹⁸ C²/m²= q²÷ (0.3 m)²

2×10⁻¹⁸ C²/m²= q²÷ 0.09 m²

2×10⁻¹⁸ C²/m² ×0.09 m²= q²

1.8×10⁻¹⁹ C²= q²

√1.8×10⁻¹⁹ C²= q

4.2426 C= q= Q

Finally, each charge has a value of 4.2426 C.

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Say an impulse is applied opposite the go-kart's direction of travel. What happens to
the go-kart if its momentum + impulse = 0?
The go kart stops comes to a stop.
The go kart slows down but keeps moving.
The go kart speeds up.
There is no change in the speed of the go kart.

Answers

If the impulse is strong enough and lasts for a sufficient amount of time, the go-kart will eventually come to a stop.

Option A is correct.

What is meant by impulse?

impulse is described as the integral of a force, F, over the time interval, t, for which it acts. Since force is a vector quantity, impulse is also a vector quantity.

If the force is insufficient to stop the go-kart entirely, it will slow down but continue to move. The force and duration of the impulse, along with the mass and speed of the go-kart, will all affect how much deceleration occurs.

Given that momentum plus impulse equals zero, the go-kart's change in momentum as a result of the impulse will be equal in amount but will move in the opposite direction of its original momentum.

As a result, the go-kart's final momentum will be zero, suggesting that it has either stopped or is travelling very slowly.

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Nowton's third law refers to 'action reaction forces*. These forces are
always:

Answers

equal in magnitude but opposite in direction

How would your energy accounting be different in each of these two alternative definitions of the system?

Answers

Baded on the law of conservation of energy, the total energy in a systemis constant even though it change form.

What is energy?

Energy is defined as the ability to do work.

Energy occurs in many forms such as:

heat energy light energy sound energy mechanical energy electrical energy

Energy according to law of conservation of energy, cannot be created nor destroyed, but change from one form to another.

For example, electrical energy can be converted to light and sound energy. However, the total energy remains constant.

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