what is the potential energy of a charged ball?

Answer:

The speedometer reading of the car in km/h is 100.1 km/h. This can be calculated by using the formula K = 0.5mv2, where K is the kinetic energy, m is the mass, and v is the velocity. Rearranging this equation to solve for v yields v = √(2K/m). In this case, m = 66 kg and K = 1.1 x 104 J, so v = √(2 x 1.1 x 104 J/ 66 kg) = 100.1 km/h.

To be accurate, a scientific measuring instrument needs to be able to provide repeatable observations of a quantity.

of, pertaining to, or showing the scientific concepts or procedures. conducted scientifically or in accordance with findings of scientific investigation: by practicing or employing comprehensive or orderly procedures. advertising using science.

A scientist is a person who methodically acquires data and uses it to form hypotheses, test those assumptions and further knowledge and understanding. Additional characteristics of a scientist include: their methodology, such as their use of statistics.

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The rock thrown straight up will have less speed at impact compared to the rock thrown straight down.

The rock that was thrown straight up will experience slower speed at impact due to the effect of gravity. As the rock rises, gravity will slow its velocity and increase its potential energy. At the highest point, its velocity will be zero and its potential energy will be at a maximum.

As the rock falls back down, it will convert potential energy back into kinetic energy, reaching its maximum speed just before impact. The rock thrown straight down, on the other hand, will not experience any change in velocity as it falls due to gravity, leading to a higher speed at impact.

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The distance required to be covered by the skydiver to reach the final speed is found to be 378.22m.

The deceleration produced by the parachute is -0.0302m/s². The final and the initial velocity of the skydiver are 9m/s and 83m/s respectively.

Now, we know the equation of motion,

V² - U² = 2as

Where,

V and U are the final and the initial velocity,

a is the net acceleration,

s is the distance covered by the parachute.

Now, putting all the values,

(9)²-(83)² = 2(-0.0320)s

s = 378.22 m.

So, distance that should be travelled by the skydiver is 378.22m.

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The distance that is covered is 8.5 m.

We have to note that the movement of the dart would be the movement of a parabola. We would need to know that in this case, the first thing that we should find is the time that has been taken;

t = u sin 45/0.5 * 9.8

t = 9.12 sin 45/0.5 * 9.8

t = 1.32 s

Then we have that;

R = Vxt

Thus the distance that is covered is;

R = 9.12 cos45 * 1.32

R = 8.5 m

We can see that the projectile movement of the dart would cover a horizontal distance of about 8.5 m

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The car's vertical velocity must be determined using the differentiation chain. When f(x) be only a function over g(x), or if g(x) is scaled by a derivative of f, so the derivative of a function is equal to the deduction (x).

The object's beginning velocity may be calculated by dividing the total distance traveled by the time period it took the object to go a specific distance. In the formula V = d/t, V is the speed, d speed distance, and t the time.

Velocity is a vector quantity. Therefore, velocity is cognizant of direction. The direction must be taken into account when determining an object's velocity.

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The density measures the compactness of a substance. Here the density of an object of mass 60 g and volume 150 cm³ is 0.4 g/cm³.

The mass of an object contained per unit volume is defined as the density. The SI unit of density is kg / m³. The equation used to calculate density is:

Density = Mass / Volume

= 60 / 150 = 0.4 g/cm³

The objects which have same volume, but different masses have different densities. If greater the mass, more dense will be the object.

Thus the density of the object is 0.4 g/cm³.

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Answer:

1,300dollars

Explanation:

5megawatt= 5*10^6watts=5,000,000W

26cents/1000watts (10^3=kilo)

total amount=26cents/1000watts*5,000,000W

=130000cents

=1300 dollars

Might be wrong but you can try this

The force that the shopper exerts is equal to the frictional force of 48.0 N in the opposite direction.

The work done by the pushing force is equal to the force multiplied by the distance, W = Fd = (48.0 N)(22.0 m) = 1056 J. The work done by the frictional force is equal to the opposite of the work done by the pushing force, W = -1056 J.

The work done by the gravitational force is zero since the gravitational force is in the opposite direction of the displacement and the object is not moving up or down, it is moving horizontally.

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The star with an apparent magnitude of 0.5 appears approximately 100.06 times brighter than the star with an apparent magnitude of 5.5. It is approximately 10 times closer to us.

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A researcher interested in identifying common patterns of trait variation that characterize whole persons is using an essential-trait. approach

In the context of this article, an essential quality is a component that could not be left out of a concept's primary definition. When something is excluded, the definition is changed, and it might no longer be a definition at all or it might refer to another idea.

Qualitative traits, like eye color, can also be quantitative (such as height or blood pressure). A specific characteristic is a component of a person's overall phenotype.

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Answer:

Explanation:

The velocity of each ball after the collision can be determined using the law of conservation of momentum. The law of conservation of momentum states that the total momentum of an isolated system remains constant if no external forces are acting on the system. In this case, the two balls form an isolated system before and after the collision, so their total momentum must be conserved.

Let's call the velocity of the heavier ball after the collision "v". The total momentum before the collision is given by:

p_i = (0.600 kg)(4.00 m/s) + (1.00 kg)(-5.00 m/s) = -2.00 kg m/s

The total momentum after the collision is given by:

p_f = (0.600 kg)(v) + (1.00 kg)(-7.25 m/s) = 0.600 kg v - 7.25 kg m/s

Since the total momentum is conserved, we can set the initial momentum equal to the final momentum and solve for v:

p_i = p_f

-2.00 kg m/s = 0.600 kg v - 7.25 kg m/s

Adding 7.25 kg m/s to both sides and dividing both sides by 0.600 kg, we get:

v = (2.00 kg m/s + 7.25 kg m/s) / 0.600 kg = 9.25 m/s

So, the velocity of the heavier ball after the collision is 9.25 m/s.

Answer:

The velocity of the heavier ball after the collision is 3.05 m/s

Explanation:

This is an example of partially elastic collision. In a partially elastic collision, momentum is conserved and the objects move at different speeds. A portion of the initial kinetic energy is still retained by the colliding objects after the impact.

The conservation of momentum states that the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.

The formula for momentum is

[tex]p=mv[/tex]

We can conclude that

[tex]m_1v_{1i} +m_2v_{2i}=m_1v_{1f} +m_2v_{2f}[/tex]

Let object 1 be the 0.600 kg ball.

Let object 2 be the 1.00 kg ball.

We are given

[tex]m_1=0.600\\v_{1i} =4.00\\m_2=1.00\\v_{2i} =5.00\\v_{1f} =7.25[/tex]

Inserting our given values into the equation gives us

[tex](0.600*4.00)+(1.00*5.00)=(0.600*7.25)+\left(1.00*v_{2f}\right)[/tex]

Lets solve for [tex]v_{2f}[/tex].

Evaluate each set of parenthesis.

[tex]2.4+(1.00*5.00)=(0.600*7.25)+\left(1.00*v_{2f}\right)[/tex]

[tex]2.4+5=(0.600*7.25)+\left(1.00*v_{2f}\right)[/tex]

[tex]2.4+5=4.35+\left(1.00*v_{2f}\right)[/tex]

Anything multiplied by 1 stays the same.

[tex]2.4+5=4.35+v_{2f}[/tex]

Add 2.4 and 5.

[tex]7.4=4.35+v_{2f}[/tex]

Subtract 4.35 from both sides of the equation.

[tex]3.05=v_{2f}[/tex]

1/1. For the 3500-lb car, its mass in slugs is 108.7 slug, its weight in newtons 15540 N, and its mass in kilograms is 1584 kg.  1/2. For my weight, mass in slug is 3.421 slug, weight in newton is 488.4 N, and corresponding mass in kg is 49.786 kg. 1/3. Based on the given vectors\vec{V1}+\ \vec{V2}=18i+\left(9+6\sqrt3\right)j, \vec{V1}-\ \vec{V2}=6i+\left(9-6\sqrt3\right)j, \vec{V1}\ast\ \vec{V2}=165.53\ units, \vec{V1}\ x\ \ \vec{V2}=\left(72\sqrt3-54\right)k, and \vec{V2}\ x\ \ \vec{V1}=\left(54-\ 72\sqrt3\right)k.

1/1. The weight of the car in pounds is given as 3500 lb. According to the unit conversion, as 1 lb is equal to 0.0311, the mass of the car in slugs is:

Mass = 3500 x 0.0311 = 108.7 slug

As 1 lb is equal to 4.44 N, the weight of car in newtons is:

Weight = 3500 x 4.44 = 15540 N

The equation for weight is given by:

W = mg where m is mass in kg and g is the gravity equal to 9.81 m/s^2

Hence, the mass is given by:

m=  W/g=15540/9.81=1584 kg

1/2. My weight in pounds = 110 pounds

Mass in slug = 110 x 0.0311 = 3.421 slug

Weight in newton = 110 x 4.44 = 488.4 N

Corresponding mass in kg is:

m=488.4/9.81=49.786 kg

1/3. The magnitude of vector 1 = 15 units

The magnitude of vector 2 = 12 units

The angle of inclination of vector 2 from the horizontal θ = 60∘

The vector 1 is given by:

\vec{V1}=V1\ast\left(\frac{4}{5}\right)i+V1\ast\left(\frac{3}{5}\right)j=15\ast\left(\frac{4}{5}\right)i+15\ast\left(\frac{3}{5}\right)j=12i+9j

The vector 2 is given by:

\vec{V2}=V2\ cos\theta i+V2sin\theta j=12cos60i+12sin60j=6i+6\sqrt3j

Sum of the two vectors is:

\vec{V}=\ \vec{V1}+\ \vec{V2}

\vec{V}=(12i+9j)+(6i+6\sqrt3j)

\vec{V}=\ 18i+(9+6\sqrt3)j)

Difference of the two vectors is:

\vec{V}=\ \vec{V1}-\ \vec{V2}

\vec{V}=\left(12i+9j\right)-(6i+6\sqrt3j)

\vec{V}=\ 6i+(9-6\sqrt3)j)

The dot product of the two vectors is:

\vec{V}=\ \vec{V1}\ast\ \vec{V2}

\vec{V}=\left(12i+9j\right)\ast(6i+6\sqrt3j)

\vec{V}=\ 165.530\ unit

The cross product of the two vectors is:

\vec{V}=\ \vec{V1}\ x\ \vec{V2}

\vec{V}=\left(12i+9j\right)x(6i+6\sqrt3j)

\vec{V}=\ 72\sqrt3k-54k=(72\sqrt3-54)k

The cross product of the two vectors is:

\vec{V}=\ \vec{V2}\ x\ \vec{V1}\

\vec{V}=(6i+6\sqrt3j) x \left(12i+9j\right)

\vec{V}=\ 54k-\ 72\sqrt3k=(54-\ 72\sqrt3)k

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The momentum is 15817 kg-m/s rounded to the nearest whole number.

Momentum is a measure of an object's motion. It is defined as the product of an object's mass and its velocity. In mathematical terms, momentum (p) is equal to the mass (m) of an object times its velocity (v): p = m × v.

The unit of momentum is kilogram-meter per second (kg-m/s). The concept of momentum is important in physics, particularly in the study of motion, forces, and collisions. It provides a useful way of understanding and describing the motion of objects in the real world.

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Answer:

You can show respect for others' intellectual property by:

The correct option is A. A negative charge, which is free to move is released from rest in an electric field Neglecting non-electrical forces. It will always move to a position with higher potential.

The ability difference between any points inside the electric-powered field is defined as the quantity of labor done in transferring a unit of fantastic charge without acceleration from one point to another alongside any route among the 2 factors. The distinction in price between higher capability and lower capacity is known as a voltage or capacity distinction.

The voltage between points can be a result of the build-up of electric rate (e.g., a capacitor), and from an electromotive pressure (e.g., electromagnetic induction in generators, inductors, and transformers).On a macroscopic scale, a potential distinction can be due to electrochemical methods (e.g., cells and batteries), the stress-induced piezoelectric effect, and the thermoelectric effect.

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As the temperature of the flask increases, the molecules in the air become more energetic, resulting in an increase in air pressure.

Given the total pressure measured for the each trail = vapor pressure of liquid +  pressure due to any air trapped in the flask.

a) The pressure of the gas rises because the molecules collide with the container walls more frequently as a result of the faster collisions between the molecules and the walls. This is because the molecules are moving faster and collide more often with the walls of the flask, creating a greater force.

b) To calculate the corrected air pressure, the ideal gas law can be used (P1/T1 = P2/T2). The atmospheric pressure (P1) and temperature (T1) must be known for the trial and the temperature (T2) of the flask must be known. The corrected air pressure (P2) can then be calculated.

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Answer:

The ability of a substance to be reused depends on various factors such as its chemical and physical properties, how it is processed and used, and the environmental conditions it is exposed to. Some substances can be easily purified or restored to their original state, while others may undergo chemical changes or deteriorate during use, making it difficult or impossible to reuse them. Additionally, the cost and availability of alternative materials, as well as regulations and policies, can also impact the decision to reuse a substance.

The differential equation that describes the velocity of a falling object of mass "m" under the influence of a drag force proportional to the square of the velocity and opposite in direction is dv/dt = -(b/m) × v².

The equation for the velocity of a falling object under the influence of drag force is described by a second-order ordinary differential equation. The drag force is proportional to the square of the velocity, and its direction is opposite to that of the velocity, which gives the equation:

F_drag = -bv²

where b is a constant of proportionality and v is the velocity of the object.

Newton's second law of motion states that the net force acting on an object is equal to its mass multiplied by acceleration, or:

F_net = m × a

Combining these two equations, we have:

m × dv/dt = -bv²

Rearranging the equation we have:

dv/dt = -(b/m) × v².

This is the ordinary differential equation that describes the velocity of a falling object under the influence of a drag force proportional to the square of the velocity and opposite in direction. To solve this equation, we would need to specify initial conditions for the velocity and position of the object, as well as the value of the constant b.

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The fraction of energy lost by the colliding body is 8/9.

In an elastic collision, the total kinetic energy of the system before the collision is equal to the total kinetic energy of the system after the collision.

Before the collision, the total kinetic energy of the system is given by:

[tex]K1 = 0.5 * m1 * u^2[/tex]

After the collision, the total kinetic energy of the system is given by:

[tex]K2 = 0.5 * m_{1} * v_{1} ^2 + 0.5 * m_{2} * v_{2}^2[/tex]

where m1 is the mass of body A, u is its initial velocity, v1 is its final velocity, m2 is the mass of body B, and v2 is its final velocity.

Conservation of momentum also applies in this case. The momentum of the system before the collision is equal to the momentum of the system after the collision.

Before the collision, the momentum of the system is given by:

[tex]p_{1} = m_{1} * u[/tex]

After the collision, the momentum of the system is given by:

[tex]p_{2} = m_{1} * v_{1} + m_{2} * v_{2}[/tex]

From the conservation of momentum, we have:

[tex]m_{1} * u = m_{1} * v_{} + m_{2} * v_{2}[/tex]

Solving for v1 and v2, we find:

[tex]v_{1} = u * (m_{1} - m_{2}) / (m_{1} + m_{2})[/tex]

[tex]v_{2} = 2 * u * m_{1} / (m_{1} + m_{2})[/tex]

Substituting these values into the equation for K2, we find:

[tex]K_{2} = 0.5 * m_{1} * u^2 * (m_{1} - m_{2})^2 / (m_{1} + m_{2})^2[/tex]

The fraction of energy lost by body A is given by:

[tex](K_{1} - K_{2}) / K_{1} = 1 - K_{2} / K_{1}[/tex]

= [tex]1 - 0.5 * m_{1} * u^2 * (m_{1} - m_{2})^2 / (m_{1} + m_{2})^2 / (0.5 * m_{1} * u^2)[/tex]

= [tex]1 - (m_{1} - m_{2})^2 / (m_{1} + m_{2})^2[/tex]

= 1 - (4 - 2)^2 / (4 + 2)^2

= 1 - (2)^2 / (6)^2

= 1 - 4/36 = 1 - 1/9 = 8/9

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The matchup are given below

9. Friction charges: Charging by rubbing (C)

10. Loss electrons: Positive charges (B)

11. Like charges: Repel forces (A)

12. Unlike charges: Attracting forces (D)

13. Neutral charges: Charging by induction (E)

14. If Charge Q1 attracts Q2 and charges Q2 repels charge Q3, the correct sign of their charges is: Unlike charges (D)

15.The electric field strength at a point is defined by the force of: Test charge (B)

16. Orbital velocity of a satellite does not depend on: Mass of earth (A)

17. When a planet moves around the sun: The angular moment remains conserved (A)

18. Kepler's law of area is a consequence of: conservation of angular moment (D)

18. If a current of 4A flows through a 2011 ohm resistor, the power lost in the resistor is: 80W (B)

20. If a boy observed that a pen rubbed on his dry hair attracted a nearby neutral piece of paper, the cause of the attraction is: Electrostatic forces (D)

21. If the distance from a point in the electric field is decreased by half, the electric potential at that point will: Increase four times (C)

22. The potential difference between the plates of a parallel plate capacitor with a distance of 1cm between plates and electric field strength of 10J/c is: 0.13V/c (B)

The term "Friction charges" refers to the process of charging an object by rubbing it against another material. When two materials are rubbed together, electrons can be transferred from one material to the other, creating a static electric charge. The resulting charge on the object is referred to as "friction charges."

Therefore, in terms of Loss electrons: The term "Loss electrons" refers to a situation in which an object loses electrons and becomes positively charged. This can occur when electrons are transferred from the object to another material through a process such as friction charging or electrical discharge. When an object loses electrons, it has a surplus of positively charged particles and is said to have a positive charge.

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When evaluated at 20 feet per second in a water tunnel, a parachute model that is one-fifth the size does have a drag of 450 pounds. When Reynolds Negligible consequences don't exist.

Something graded, especially if used as a benchmark or guideline, such as to show how far points on a map are from their corresponding real-world distances.

It was created to measure the body temperature of people. It has a mercury-filled bulb at the end of a long, narrow glass tube. The average body temperature of a person might vary between these ranges. Hence, the selection of clinical thermometers.

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Answer:

getting chocolate is a positive reinforcement

Explanation:

The ball will hit the ground first if the cart moves with a constant acceleration a, and the spring is activated when the cart crosses point P as Ball A and Ball B hit the ground simultaneously.

Thus, the correct option is A.

Аccelerаtion is the rаte of chаnge in velocity, which is а vector, therefore, chаnges in this quаntity cаn influence its mаgnitude аnd/or direction. Аlthough аccelerаtion cаn be null, positive, or negаtive, it is, often, misunderstood аs а synonym for speeding up. This is true when аccelerаtion is positive for а strаight-line motion. In this type of motion, а negаtive аccelerаtion meаns thаt the object is slowing down, аnd а null аccelerаtion meаns thаt the speed does not chаnge.

Thus, when the cart moves with a constant acceleration a, and the spring is activated when the cart crosses point P, Ball A and Ball B hit the ground simultaneously.

Your question is incomplete, but most probably your full question can be seen in the Attachment.

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Answer:

Pascal's principle states that pressure increases by the same amount throughout an enclosed or confined fluid. ... Archimedes' principle states that the buoyant force acting on a submerged object is equal to the weight of the volume of fluid displaced by the object.

The instantaneous velocity of the car at t = 5.0 s is -3 m/s. The negative sign indicates that the car is moving in the opposite direction from the traffic light at that moment.

Instantaneous velocity is the velocity of an object at a specific point in time. It is the rate of change of the object's position at that particular moment, and it is represented by the derivative of the object's position with respect to time. Instantaneous velocity is a vector quantity, meaning it has both magnitude and direction. It can be determined by taking the limit of the average velocity as the time interval approaches zero. It is also the limit of the average acceleration when the time interval approaches zero.

This can be found by taking the derivative of the equation [tex]x(t) = bt2 − ct3[/tex]with respect to t. The derivative of this equation is [tex]v(t) = 2bt - 3ct^2.[/tex]Plugging in the given values of b and c, and evaluating the equation at t=5.0s gives the instantaneous velocity of the car.

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Answer:

see below

Explanation:

the given circuit comprises of a 10V battery and 2Ω and 6Ω resistance. The resistances are connected in parallel, so we can find the net resistance as ,

[tex]\implies \dfrac{1}{R_n}=\dfrac{1}{R_1}+\dfrac{1}{R_2} \\[/tex]

[tex]\implies R_n =\dfrac{R_1R_2}{R_1+R_2} \\[/tex]

[tex]\implies R_n =\dfrac{2\times 6 }{2+6}\Omega \\[/tex]

[tex]\implies R_n =\dfrac{12}{8}\Omega\\[/tex]

[tex]\implies R_n = 1.5\Omega \\[/tex]

Now from Ohm's law, we have,

[tex]\implies V = iR \\[/tex]

where ,

[tex]\implies 10V = i \times 1.25\Omega \\[/tex]

[tex]\implies i =\dfrac{10}{1.25} A \\[/tex]

[tex]\implies \underline{\underline{ i = 8A }}\\[/tex]

and we are done!

After comparing the force of gravity on the Moon due to the Earth, and the force of gravity on the Earth due to the Moon, we find that The forces are equal and opposite. Thus, option B is correct.

The force that unites all matter is called gravity (which is anything you can physically touch). The gravitational pull of objects with a lot of matter, such as planets, moons, and stars, increases with their mass.

The quantity of matter in something is determined by its mass. Everything has a gravitational pull, and this pull increases with mass. The Earth pulls on us as we walk on its surface, and we yank back in response. The Earth's pull can cause us to fall to the ground, whereas our pull is insufficient to move the Earth because it is so much heavier than we are.

In this system both the objects have mass so the gravitational force between them is,  

[tex]$\mathrm{F = \frac{GM_1M_2}{R_2} }[/tex]

For the earth moon system,

[tex]$\mathrm{F_{e/m} = \frac{GM_eM_m}{R_2} }[/tex] and [tex]$\mathrm{-F_{m/e} = \frac{GM_eM_m}{R_2} }[/tex]here negative sign stands for opposite direction.

According to Newton's third law of motion, gravitational forces from the earth to the moon are equal but opposite in direction. Because the gravitational force formula is based on the masses of both objects, the formula applies to both objects.

Therefore, B. The forces are equal and opposite is correct.

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the direction for each of three successive vehicles. A = {RRR,LLL,SSS} ,  B = {RLS, RSL, LSR, LRS, SRL, SLR} C = {RRS, RRL, RSR, RLR, LRR, SRR}

Direction is defined as the path that something takes, the path that must be taken to reach a specific place, the way in which something is starting to develop or the way you are facing. An example of direction is when you go right instead of left.

the course or path on which something is moving or pointing. The army attacked from three different directions. Down the road, he could see a bus coming from the opposite direction. The wind changed direction and started blowing in  faces.

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