4 indentical charges each of value 2 mc are placed at the four corners of square 2 meters. What is the electric potential at the centre of the square​​​

Answer:

28 m/s

Explanation:

1m / 0,035 s

v = 28.57 m/s

if you want km/h, multiply witz 3,6

102,85 km/h = 28,57 m/s

Answer:

I think c

Explanation:

cold air pushes warm air up and then the air mixes(im not sure)

Answer:

Nonrenewable Resources

Answer:

fossil fuels

Explanation:

Answer:

69,168 ft

Explanation:

Answer:

the period of oscillation of the given object is 0.14 s

Explanation:

Given;

mass of the object, m = 3 kg

extension of the spring, x = 0.085 m

The spring constant is calculated as follows;

\(F = mg = \frac{1}{2} ke^2\\\\2mg = ke^2\\\\k = \frac{2mg}{e^2} \\\\k = \frac{2\times 3 \times 9.8}{(0.085)^2} \\\\k = 8,138.41 \ N/m\)

The angular speed of a 4 kg object is calculated as follows;

\(\omega = \sqrt{\frac{k}{m} } \\\\\frac{2\pi }{T} = \sqrt{\frac{k}{m} } \\\\T= 2\pi \sqrt{\frac{m}{k} } \\\\T = 2\pi \sqrt{\frac{4}{8138.41} }\\\\T = 0.14 \ s\)

Therefore, the period of oscillation of the given object is 0.14 s

Hi there!

Given the values for α and β, we can plug these into the given equation:

\(v(t) = 4t - 2t^2\)

Begin by solving for the velocity at t = 0 and t = 3:

At t = 0:
\(v(0) = 4(0) - 2(0^2) = 0 \frac{m}{s}\)

At t = 3:
\(v(3) = 4(3) - 2(3^2) = 12 - 18 = -6 \frac{m}{s}\)

Acceleration is the SLOPE of the velocity graph (its derivative), so we can use the kinematic equation:

\(a = \frac{v_f - v_i}{\Delta t}\)

Plug in the knowns:

\(a = \frac{-6-0}{3 - 0} = \boxed{-2 \frac{m}{s^2}}\)

Answer: 13.33

Explanation:

F=ma

m= 4.5 kg

F= 60 N

60 N/4.5 kg =13.33 m/s

Answer:

Sparks often indicate the presence of a high voltage, or "potential field". The higher the voltage; the farther a spark can jump across a gap, and with enough energy supplied can lead to greater discharges such as a glow or an arc.

Explanation:

9\(\^{i}\)+8\(\^{j}\)/\(\sqrt{136}\)

F=(9.00i-8.00j)N

we are now to find the unit vector

according to formula

unit vector = \(\frac{vector of F}{Magnitude of F}\)

Now :

vector form of F = 9\(\^{i}\)+8\(\^{j}\)

magnitude of F =\(\sqrt{9^2+8^2}\)

magnitude of F=\(\sqrt{136}\)

now put that in formual

unit vector = 9\(\^{i}\)+8\(\^{j}\)/\(\sqrt{136}\)

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The portion that shows a decreasing velocity is  D to E.

The position time graph is used to describe the motion of a body. We know that the slope of a velocity time graph is the velocity of the graph.

If we look at the graph as shown in the image attached to the answer, we can see that the portion that shows a decreasing velocity is  D to E.

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Answer:

D - E

Explanation:

hope this help

Answer:

h= 63.5 m

Explanation:

       \(\Delta h = \frac{1}2} * g* t^{2} = \frac{1}{2} *(-9.8 m/s2)*(3.6s)^{2} = -63.5 m\)

        y₀ = h = 63.5 m

earth energy budget is the relationship between how much energy the earth receive from the sun and energy the earth radiates out.

Energy is described as the quantitative property that is displaced to a body or to a physical system, recognizable in the performance of work and in the form of heat and light.

The term earth's energy budget is also described as the  balance between of the amount of energy, that gets to the earth. from the Sun and the energy that leaves Earth and returns to the universe.

The earth's energy budget was mainly three types as shown:

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Fan made of plastic bottle is an innovative way to reuse plastic bottles and can be easily made at home. This can be done by following simple steps, and a few materials are required to make it. The fan can be created by using a plastic bottle, scissors, string, a ruler, and a marker.

First, the bottle needs to be cut into half, and the upper part needs to be cut into three equal sections, then fold each section to make a blade. With the help of a ruler and marker, make a mark on each section, then make a hole in the center of each blade. Insert a string through the holes and tie the ends of the strings. The fan is ready to use by holding the string and swinging it back and forth.

The use of plastic bottle fans can significantly reduce the number of plastic waste and provide a practical solution to avoid environmental pollution. Besides, it is easy to make, and the materials are readily available, which can be used for various occasions, such as picnics, camping, or any outdoor activities.

In conclusion, the creation of a fan made of plastic bottle with string is an excellent way to reuse plastic bottles and can be made with simple steps. This project encourages everyone to contribute to environmental protection by utilizing what is available at home and reducing the number of plastic wastes.

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Answer:

Time of flight=3.5 seconds

Speed at maximum height is 0

Explanation:

Φ=60°

initial velocity=u=20m/s

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

Total time of flight=T

Final speed=v

question 1:

T=(2 x u x sinΦ)/g

T=(2 x 20 x sin60)/9.8

T=(2 x 20 x 0.8660)/9.8

T=34.64/9.8

T=3.5 seconds

Question 2

Speed at maximum height is 0

The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.

When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.

For example, if the answer is 12.345, we would round it to 12.3.

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Answer:

The  induced current is \(I = 5.72*10^{-4 } \ A\)

Explanation:

From the question we are told that

     The cross-sectional area is  \(A = 8.60 \ cm^2 = \frac{8.60 }{10000} = 8.60 *10^{-4} \ m\)

     The initial value of magnetic field is  \(B_1 = 0.500 \ T\)

     The  value of magnetic field  at  time  t     is  \(B_f = 2.40 \ T\)

     The number of turns  is  N  =  1  

     The  time taken is   \(dt\)=  1.02 \ s  

       The resistance of the loop is  \(R = 2.80\ \Omega\)

Generally the induced emf is mathematically represented as

         \(e = - \frac{d \phi}{dt }\)

Where  \(d \phi\) is the change n the magnetic flux which is mathematically represented as

          \(d \phi = N *A * d B\)

Where \(dB\) is the change in magnetic field which is mathematically represented as  

          \(d B = B_f - B_i\)

substituting values  

         \(d B = 2.40 - 0.500\)

         \(d B = 1.9 \ T\)

So  

        \(d \phi = 1 * 1.9 * 8.60 *10^{-4}\)

       \(d \phi = 1.63*10^{-3} \ T\)

So  

      \(e = - \frac{1.63 *10^{-3}}{ 1.02 }\)

      \(e = - 1.60*10^{-3} \ V\)

     Here the negative only indicates that the emf is acting in opposite direction of the motion producing it so the magnitude of the emf is  

       \(e = 1.60*10^{-3} \ V\)

Now the induced current is evaluated as follows

       \(I = \frac{e}{R }\)

substituting values  

      \(I = \frac{1.60 *10^{-3}}{2.80 }\)

      \(I = 5.72*10^{-4 } \ A\)

Answer:

(a) The rms voltage across the resistor is given by V = (2.20 102 V) sin 2ft.

V = (2.20 102 V) sin 2ft

V = (2.20 102 V) (0.707)

V = 1.56 102 V

(b) The rms current flowing through the resistor is given by I = V/R.

I = V/R

I = (1.56 102 V)/(1.90 102 Ω)

I = 8.21 A

Review procedures and confirm results to avoid possible errors.

Explanation:

Answer:

a) quantity to be measured is the height to which the body rises

b) weighing the body , rule or fixed tape measure

c)   Em₁ = m g h

d) deformation of the body or it is transformed into heat during the crash

Explanation:

In this exercise of falling and rebounding a body, we must know the speed of the body when it reaches the ground, which can be calculated using the conservation of energy, since the height where it was released is known.

a) What quantities must you know to calculate the energy after the bounce?

The quantity to be measured is the height to which the body rises, we assume negligible air resistance.

So let's use the conservation of energy

starting point. Soil

          Em₀ = K = ½ m v²

final point. Higher

          Em_f = U = mg h

         Em₀ = Em_f

         Em₀ = m g h₀

b) to have the measurements, we begin by weighing the body and calculating its mass, the height was measured with a rule or fixed tape measure and seeing how far the body rises.

c) We use conservation of energy

starting point. Soil

          Em₁ = K = ½ m v²

final point. Higher

          Em_f = U = mg h

         Em₁ = Em_f

         Em₁ = m g h

d) to determine if the energy is conserved, the arrival energy and the output energy must be compared.

There are two possibilities.

* that have been equal therefore energy is conserved

* that have been different (most likely) therefore the energy of the rebound is less than the initial energy, it cannot be stored in the possible deformation of the body or it is transformed into heat during the crash

Answer:

Mass and Acceleration

Explanation:

The typical Force equation is:

F = ma

where m = mass, and a=acceleration.

Answer:

Gravity is the main force responsible for mass movements. Gravity is a force that acts everywhere on the Earth's surface, pulling everything in a direction toward the center of the Earth

Explanation:

This question is incomplete, the complete question is;

People who do very detailed work close up, such as jewelers, often can see objects clearly at much closer distance than the normal 25 cm.

a) What is the power in D of the eyes of a woman who can see an object clearly at a distance of only 8.50 cm? (Assume the lens-to-retina distance is 2.00 cm.)

b) What is the size in mm of an image of a 8.00 mm object, such as lettering inside a ring, held at this distance? (Include the sign of the value in your answer.)  __ mm

Answer:

1) the power in D of the eyes of a woman is 61.7647 D

2) the size in mm of an image of a 8.00 mm object is -1.882 mm

Explanation:

Given the data in the question;

a) power in D of the eyes of woman who can see an object clearly at a distance of only 8.5 cm and the lens-to-retina distance is 2.00 cm,

so

u = 8.5 cm = ( 8.5 / 100 )m = 0.085 m

v = 2.00 cm = ( 2 / 100 )m =  0.02 m

Now, we know that power of lens p = 1 / u + 1 / v

so we substitute

p = ( 1 / 0.085 ) + ( 1 / 0.02 )

p = 11.7647 + 50

p = 61.7647 D

Therefore,  the power in D of the eyes of a woman is 61.7647 D

b) What is the size in mm of an image of a 8.00 mm object, such as lettering inside a ring, held at this distance? (Include the sign of the value in your answer.)

we know that;

m = -v / u

we substitute

m = -0.02 / 0.085

m = -0.2353

since H₀ = 8.0 mm

H\(_i\) = m × H₀

H\(_i\) = -0.2353 × 8.0

H\(_i\) = -1.882 mm

the size in mm of an image of a 8.00 mm object is -1.882 mm

Answer:

The temperature of the metal is  \(T_m = 376.8 ^o C\)

Explanation:

From the question we are told that

     The mass of the metal is  \(M = 60 \ kg\)

     The specific heat of the metal is  \(c_p = 0.1027 kcal/(kg \cdot ^oC)\)

       The mass of the oil is \(M_o = 810 \ kg\)

       The temperature of the oil is  \(T_o = 35^oC\)

       The specific heat of oil is  \(c_o = 0.7167 kcal/(kg \cdot ^oC )\)

       The equilibrium temperature is \(T_e = 39 ^oC\)

According to the law of energy conservation

     Heat lost by metal  =  heat gained by the oil

So  

   The quantity  of heat lost by the metal is mathematically represented as

               \(Q = - Mc_p \Delta T\)

=>            \(Q = -Mc_p (T_m - T_c)\)

Where \(T_ m\)  the temperature of metal before immersion

The negative sign show heat lost

The quantity  of gained t by the metal is mathematically represented as      

           \(Q = M_o c_o \Delta T\)

=>        \(Q = M_o c_o (T_c - T_o)\)

So  

         \(Mc_p (T_m - T_c) = M_o c_o (T_c - T_o)\)

substituting values

          \(- 60 * 0.1027 (T_m - 39) = 810 * 0.7167 * (39 - 35)\)

=>       \(T_m = 376.8 ^o C\)

In general, option c - warming it up on the stove - is often an effective method to increase the reaction rate.

Increasing the temperature of a reaction generally leads to faster reaction rates. This is because higher temperatures provide more thermal energy to the reactant particles, causing them to move faster and collide more frequently. The increased collision frequency and energy lead to more successful collisions and a higher likelihood of effective molecular interactions, which speeds up the reaction. On the other hand, options a and b - putting it in the fridge where it is cold or covering it with a blanket to make it dark - are unlikely to have a significant effect on the reaction rate. While temperature can influence reaction rates, cooling the reaction or making it dark typically reduces the kinetic energy of the particles, resulting in slower reaction rates. Option d - there is nothing you can do to change the speed of the reaction - is not accurate. The reaction rate can be influenced by various factors such as temperature, concentration, catalysts, and surface area, among others. By manipulating these factors, it is often possible to control and change the speed of a reaction. Hence option c, is correct

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Answer:

Explanation:

Answer:

See below

Explanation:

vf = vo + at        when it reaches top vf = 0    vo = 10m/s      a = -9.81 m/s^2

0 =   10  + (-9.81) t  

t = 1.02 seconds to reach max

time up = time down   so    roundtrip =  2.04 seconds

Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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Answer:

Newton's principle of force, the variation of the momentum and the acceleration have the same direction

Explanation:

To find the force exerted by the star on the sail of the ship, the expression of the momentum of the radiation is used, which in the case of a total reflection

            p = \(\frac{2U}{c}\)

where p is the momentum and U the incident energy and c the speed of light.

The strength I could get from

            F = \(\frac{dp}{dt}\)

the direction of the acceleration is the direction of the momentum, therefore the principle to find the acceleration of is Newton's principle of force, the variation of the momentum and the acceleration have the same direction.

The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.

Given:

Object height (h) = 5 cm

Focal length of the convex lens (f) = 10 cm

Object distance (u) = 15 cm (positive since it's on the same side as the incident light)

To determine the nature, position, and size of the image, we can use the lens formula:

1/f = 1/v - 1/u

Substituting the given values:

1/10 = 1/v - 1/15

To simplify the equation, we find the common denominator:

3v - 2v = 2v/3

Simplifying further:

v = 30 cm

The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.

To find the magnification (M), we use the formula:

M = -v/u

Substituting the values:

M = -30 / 15 = -2

The magnification is -2, indicating that the image is inverted and twice the size of the object.

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The potential difference between points A and B in the circuit is 12 V.

To find the potential difference between points A and B in the given circuit, determine the total voltage across the circuit.

From the information provided, there are four resistors labeled as 12 Ω each. Assuming these resistors are connected in series, the total resistance in the circuit is 12 Ω + 12 Ω + 12 Ω + 12 Ω = 48 Ω.

Next, determine the current flowing through the circuit. The voltage is given as 24 V.

Using Ohm's Law (V = IR), calculate the current:

I = V / R

I = 24 V / 48 Ω

I = 0.5 A

Since the resistors are connected in series, the current remains the same throughout the circuit.

Finally, to find the potential difference between points A and B, multiply the current by the resistance between those points:

V_AB = I × R_AB

V_AB = 0.5 A * 24 Ω

V_AB = 12 V

Therefore, the potential difference between points A and B in the circuit is 12 V.

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