Two particles having charges of 0.50~\text{nC}0.50 nC (q_1q ​1 ​​ ) and 10~\text{nC}10 nC (q_2q ​2 ​​ ) are separated by a distance of 3~\text{m}3 m (r = 3~\text{m}r=3 m). At what distance away from charge q1 along the line connecting the two charges can a third positive charge be placed such that it experiences a net electric force equal to zero?

The momentum of the ostrich is determined as 2,282 kg m/s.

The momentum of an object is defined as the product of mass and velocity of the object.

The momentum of the ostrich running at the given velocity is calculated by applying the following formula as shown below.

P = m v

where;

P = 163 kg  x  14 m/s

P = 2,282 kg m/s

Thus, the momentum of the ostrich is a function of mass of the ostrich and velocity of the ostrich.

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The magnitude of gravitational force acting on the space junk by the satellite is determined by the masses of the objects and the distance between them.

To calculate the magnitude of the gravitational force acting on the space junk by the satellite, you need to use the formula for gravitational force: F = G × (m1 × m2) / r² where: - F is the gravitational force, - G is the gravitational constant (approximately 6.674 × 10⁻¹¹ N m²/kg²), - m1 and m2 are the masses of the satellite and space junk, respectively, - r is the distance between the centers of mass of the satellite and space junk.

The larger the masses and the closer the objects are, the stronger the gravitational force. However, it is important to note that space junk is typically not in orbit around a satellite and therefore not subject to its gravitational force. Instead, space junk is affected by the gravitational force of the Earth and other celestial bodies, as well as other forces such as atmospheric drag and solar radiation pressure.

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Answer:

17 m/s

Explanation:

V = U + at

V = 5 + 2(6)

V = 5 + 12

Velocity = 17 m/s

the maximum velocity of movement of any particle of the wire is 3.87 m/s

AND)

and)

L = wire length = 25 m

m = weight of wire = 100 g = 0.1 kg

The linear mass density of the wire is given as

μ = m/L = 0.1/25 = 0.004 kg/m

T = tensile force in the wire = 10 N

the speed of the wave along the wire is given as

v =√(T/μ)

v = √ (10/0.004)

v = 50 m/s

(ii)

A = amplitude = 15 mm = 0.015 m

f = frequency = 25 Hz

the maximum lateral velocity is given as

Vmax = 2πfA

Vmax = 2(3.14)(25)(0.015)

Vmax = 2.4 m/s

b)

F = force acting on each edge = 2.5 N

L = length of each edge = 0.75 m

m = weight of each edge = 125 g = 0.125 kg

the speed of the waves on the sheet is given as

v = √(FL/m) = √(2.5 x 0.75/0.125) = 3.87 m/s

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The force produced by the train's engine will be 175000N.

Force is an external agent that has the power to alter an object's state of motion or rest. In a brief, force is a vector quantity that's also defined as a push or pull exerted on an object as a result of the object's contact with another object. The Newton (N) is the unit of force F.

F = ma

Here, F  is force, m is mass and a is acceleration of the object.

We are given here,

The force by the train weight = \(Fw\) =  150,000N

The force creates by the friction = \(F_{f}\) = 25,000N

Thus , to get the total force of the train's engine by adding force by weight and force by friction is given as,

\(F_{t} = F_{w}+ F_{f}\)

Then for getting total force of the train's engine putting above values in the expression ,

\(F_{t} = 150,000 N +25,000N\\F_{t} = 175,000N\)

Hence, the train’s engine has to produce 175000N force to become in equilibrium.

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The graph shown in the first option nicely plots the lion's and gazelle's velocities as a function of time, so option A is the correct answer.

Velocity is the rate of change of displacement over time.

As mentioned in the problem of running at a constant speed towards a gazelle with a standing lion as shown above.

So option A is correct.

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(a) Flowchart: A condenser process flowchart is provided, illustrating the inputs and outputs of the humid air stream, O₂, N₂, and the condensed liquid water. (b) Total flow rate: The total flow rate of the feed stream entering the condenser is 5.296F mol/s, considering the flow rates of water vapor, O₂, and N₂. (c) Enthalpy and heat transfer: The enthalpy changes for water vapor and O₂ are calculated, resulting in a heat transfer of -0.072 kF kW, indicating heat removal by the condenser. the heat transferred by the condenser is -0.072 kF kW.

(a) Flowchart:

(b) Total flow rate of the feed stream:

The flow rate of N2 leaving the condenser is given as 5.18 mol/s.

The flow rate of water vapor entering the condenser is 58.0 mol% of F.

80% of the above water vapor is condensed and removed, leaving 20% remaining.

So, 20% of the above water vapor remaining in the humid air after condensation is 0.116F mol/s.

The flow rate of O2 is given as 8.8 mol% of F.

The total flow rate of the feed stream is the sum of the flow rates of water vapor, O2, and N2:

Total flow rate = Flow rate of water vapor + Flow rate of O2 + Flow rate of N2

              = 0.116F + 0.088F + 5.18

              = 5.296F mol/s

(c) Inlet-Outlet Enthalpy Table:

To calculate the heat transferred by the condenser, we need to determine the enthalpy changes for water vapor (H3 to H4) and O2 (H5).

The enthalpy change for water vapor can be calculated as:

ΔH_vap = Enthalpy of water vapor at 30°C - Enthalpy of water vapor at 150°C

      = [40.657 + 0.119 × (30 - 0)] - [40.657 + 0.119 × (150 - 0)]

      = -13.607 kJ/kmol

Enthalpy of water leaving the condenser (H4) can be calculated as:

H4 = Enthalpy of water vapor at 30°C = 40.657 kJ/kmol

Enthalpy of O2 leaving the condenser (H5) can be taken as:

H5 = Enthalpy of O2 at 30°C = 0.102 kJ/kmol

The heat transferred by the condenser (q) can be calculated as:

q = Total flow rate × ΔH

 = (5.296F mol/s) × (-13.607 kJ/kmol) × 10⁻³ kW/J

 = -0.072 kF kW (where kF is the constant conversion factor 10⁶)

Therefore, the heat transferred by the condenser is -0.072 kF kW.

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Answer:

electrons

Explanation:

it just does

Kinetic energy of an air-hockey puck moving under a force of 0.8 N acting on it after moving for 2 meters is 1.6J.

This can be determined using the formula,

KE = 0.5mv²

Where KE = Kinetic Energy, m = Mass of the air-hockey puck, v = Velocity of the air-hockey puck.

On applying the law of conservation of energy, we know that the work done on the object should be equal to the change in kinetic energy.

W = Fd

W = Work done, F = Force acting on the object, d = Distance moved by the object.

Since the air-hockey puck was initially at rest, its initial velocity will be zero.

On applying the formula for work done, we have,

W = Fd

W = (0.8 N) x (2 m)

W = 1.6 J

On applying the law of conservation of energy, we know that the work done on the object should be equal to the change in kinetic energy.

W = ΔKE

ΔKE = Change in Kinetic Energy

ΔKE = KEfinal - KEinitial

Initial Kinetic Energy of the puck is zero.

On substituting the value of work done in the above equation, we have,

ΔKE = 1.6 J

ΔKE = KEfinal - 0KEfinal = ΔKE

KEfinal = 1.6 J

Hence, the Kinetic Energy of the air-hockey puck after a net force of 0.8 N acts on it for a distance of 2 m is 1.6 J.

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A man's mass and weight are measured on the Earth and the Moon. The mass of the man will remain same on the Earth and on the Moon.

Mass of an object is the measurement of the quantity of matter in an object. Since, the person would contain the same amount of matter in the body regardless of where he or she might be, the mass would be the same wherever it was measured on the Earth or the Moon.

The mass is a physical quantity which is associated with the amount of matter contained in an object. It is also related to the inertia of the object.

The weight of an object measures the pull on the object from the Earth or the gravitational force. An object feels heavy because of its weight. It is proportional to the gravitational force on the object. The greater is the weight of an object, the heavier the object will feel. Thus, the object will be heavier on the Earth and lighter on the Moon.

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Answer:

1.27 m/s.

Explanation:

The following data were obtained from the question:

Displacement (D) = 28 m

Time (t) = 22 secs

Velocity (v) =?

Velocity is simply defined as the rate of change of displacement of an object with time. It can be represented mathematically as:

Velocity (v) = Displacement (D) /Time (t)

v = D/t

With the above formula, we can obtain the swimmer's velocity as follow:

Displacement (D) = 28 m

Time (t) = 22 secs

Velocity (v) =?

v = D/t

v = 28/22

v = 1.27 m/s

Therefore, the swimmer's velocity is 1.27 m/s.

Answer:

1.3 m/s north

Explanation:

A grounded conductor may be charged by the process of induction when a charged object is brought near the conductor.

When a charged object is brought near a grounded conductor, the presence of the charged object induces a redistribution of charges in the conductor. The grounded conductor is connected to the Earth through a conducting path, which allows charges to flow between the Earth and the conductor.

The presence of the charged object induces an opposite charge on the side of the grounded conductor nearest to it, while the opposite charge is repelled to the far side of the conductor. This redistribution of charges results in the grounded conductor acquiring an opposite charge to that of the charged object. While the grounded conductor does not gain or lose any net charge, it becomes charged through the process of induction.

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Answer:

2. Galaxy

5. Electromagnetic radiation

7. Particle Accelerator

Answer:

Option B. 10 V.

Explanation:

The following data were obtained from the question:

Resistor 1 (R₁) = 20 Ω

Resistor 2 (R₂) = 40 Ω

Resistor 3 (R₃) = 60 Ω

Potential difference (V) = 60 V

Next, we shall determine the total resistance of the circuit.

The circuit is in series connection. Therefore the total resistance (R) can be obtained by adding up R₁, R₂ and R₃ together as shown below:

R = R₁ + R₂ + R₃

R = 20 + 40 + 60

R = 120 Ω

Therefore, the total resistance in the circuit is 120 Ω

Next, we shall determine the current flowing in the circuit.

Note: The same current will flow through each resistor since they are in series connection.

The current flowing in the circuit can be obtained as follow:

Potential difference (V) = 60 V

Total resistance (R) = 120 Ω

Current (I) =..?

V = IR

60 = I x 120

Divide both side by 120

I = 60/120

I = 0.5 A

Therefore, the current flowing in the circuit is 0.5 A

Now, we can calculate the potential drop across R₁ as follow:

Resistor 1 (R₁) = 20 Ω

Current (I) = 0.5 A

Potential difference cross R₁ (V₁) =.?

V₁ = IR₁

V₁ = 0.5 x 20

V₁ = 10 V

Therefore, the potential difference across R₁ is 10 V.

According to the law of conservation of momentum, the total momentum of a system remains constant if no external forces act on it the total momentum of the system before and after the collision will be conserved. The correct option d.

The law of conservation of momentum states that in a closed system, the total momentum before a collision is equal to the total momentum after the collision, provided there are no external forces acting on the system. The law applies to both linear and angular momentum.

In the given scenario, the total momentum of the system before the collision is the sum of the momenta of the two disks. After the collision, the total momentum of the system should still be the same as before the collision if no external forces are present.

The individual velocities and directions of the disks after the collision may change, and they may continue to move at different velocities or even come to rest. The law of conservation of momentum does not dictate the velocities or outcomes of the individual objects involved in the collision. It only states that the total momentum of the system remains constant.

Therefore, option d) The total momentum of the system before and after the collision will be conserved is the correct statement according to the law of conservation of momentum.

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Expressing these statements in terms of change in mass it will be Elizabeth gained 1 kg mass and Tom lost 2 kg mass. The changes in temperature in the morning and in the afternoon are 4° and -5° respectively.

What does the word "mass" mean?

The term mass refers to the quantity of matter that makes up something or someone. As acceleration is a rate of change of the velocity, mass can also be thought of as the amount of the inertia an item has the strength of an object's gravitational pull to other bodies is also influenced by its mass.

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Answer:

Base

Hope this helps! :)

Answer:

a

all the molecules or atoms in motion has kinetic energy

Answer:

I think your answer would be D

Explanation:

The displacement of the train to the west is 478 km.

To find the displacement to the west, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the straight-line distance from the starting point to the ending point) is equal to the sum of the squares of the lengths of the other two sides.

Let's call the displacement to the west "x". Then, the displacement to the south is 42 km, and the total displacement (the distance traveled by the train) is 478 km. Using the Pythagorean theorem, we can write the following equation:

x^2 + 42^2 = 478^2

Expanding the squares:

x^2 + 42^2 = 478^2

x^2 + 1764 = 229284

x^2 = 227620

x = 478 km

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Answer: Budding is one of the methods of asexual reproduction in organisms.

Explanation:

The asexual reproduction is the process in which new organisms are produced from the parent organism without the formation of gametes. The budding is one of the methods of asexual reproduction in which from a mature organism a bud develops as an outgrowth. The bud obtains the nutrition from the parent organism and increase in size. On maturity the bud dissociate or detach from the parent organism and lives as separate individual organism. Budding can be seen in the case of Hydra, and Yeast.

A charge of -1e would be present in an antibaryon made up of two antiup quarks and one anti-down quark. Option 2 is correct.

When the matter is put in an electromagnetic field, it has an electric charge, which causes it to experience a force. A positive or negative electric charge can exist.

The complete question is

"An antibaryon composed of two antiup quarks and one anti down quark would have a charge of

(1) +1e

(2) −1e

(3) 0e

(4) −3e"

An antibaryon composed of two antiup quarks and one anti-down quark would have a charge of  −1e.

Hence,option 2 is correct.

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Answer:

This is not a question-

Explanation:

Answer:

40n

Explanation:

test taken

Answer:

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

\(a = \frac{f}{m} \\ \)

m is the mass

f is the force

From the question we have

\(a = \frac{70}{7} = 10 \\ \)

We have the final answer as

Hope this helps you

Option (a).

A converging lens is used to make a magnifying glass, which works by bending light to create a magnified image.

The curved surface of the lens helps to focus and magnify the object being viewed.

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The answers include the following:

The benefits of the democratic government include:

This is referred to as a system of government where the citizens of a state exercise power to rule the state, either directly or through electing representatives.

The 'rule of law' as a democratic principle supports democracy by protecting the rights of all people, advance inclusiveness, and limit the arbitrary exercise of power thereby preventing the incidence of anarchy in the country.

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Answer:

The maximum possible up-thrust on the boat is 11,995.2 N

Explanation:

According to Archimedes' principle, the thrust received by an object immersed a fluid is equal to the weight of the fluid displaced;

The given parameter of the boat in sea water are;

The volume of the boat = 1.2 m³

The density of seawater = 1020 kg/m³

Density = Mass/Volume

Therefore, Mass = Density × Volume

The maximum volume of water that the boat displaces = 1.2 m³

The mass of the water displaced by the boat = (Density of seawater) × (Volume of seawater displaced)

∴ The maximum possible mass of the water displaced by the boat = 1.2 m³ × 1020 kg/m³ = 1224 kg

The maximum possible mass of the water displaced by the boat, m = 1224 kg

Weight = Mass, m × g

Where;

g = The acceleration due to gravity = 9.8 m/s²

The up-thrust on the boat = The weight of the seawater displaced

∴ The maximum possible up-thrust on the boat = m × g = 1224 kg × 9.8 m/s² = 11,995.2 N

The maximum possible up-thrust on the boat = 11,995.2 N.

Answer:

electrical to heat: ironing of clothes, room heaters

Chemical to heat: coal burning, gasoline is burned in a car engine

Electrical to mechanical: Vacuum cleaner, mixer or grinder.

(a)

- The coefficient of log(income) (0.88) suggests that a 1% increase in income is associated with a 0.88% increase in cigarette consumption, holding other variables constant.

- The coefficient of log(price) (-0.75) indicates that a 1% increase in cigarette prices is associated with a 0.75% decrease in cigarette consumption, holding other variables constant.

- The coefficient of educ (-0.50) implies that a one-year increase in education is associated with a 0.50 unit decrease in cigarette consumption, holding other variables constant.

- The coefficient of age (0.77) suggests that a one-year increase in age is associated with a 0.77 unit increase in cigarette consumption, holding other variables constant.

- The coefficient of age squared (-0.008) indicates that the relationship between age and cigarette consumption is not linear, and as age increases further, the rate of increase in cigarette consumption slows down.

- The coefficient of restaurant (2.83) implies that individuals who have access to smoking in restaurants smoke, on average, 2.83 more cigarettes per week compared to those who do not have access.

(b) The R-squared measures the proportion of the total variation in cigarette consumption that is explained by the independent variables. In this case, the R-squared is not provided, so it cannot be calculated or commented upon.

The Adjusted R-squared takes into account the number of variables and the sample size, providing a more reliable measure of model fit. Unfortunately, the Adjusted R-squared is also not provided, so it cannot be calculated or commented upon.

The difference between R-squared and Adjusted R-squared lies in the penalization of the latter for including additional variables that may not significantly contribute to the model.

(c) To perform a 1% individual significance test for each slope coefficient, we need the t-statistics and the corresponding p-values for each coefficient. These values are not provided, so we cannot perform the significance tests or comment on the results.

The null hypothesis (H0) for each significance test would be that the corresponding slope coefficient is equal to zero. The alternative hypothesis (Ha) would be that the slope coefficient is not equal to zero.

(d) The confidence interval for each slope coefficient can be calculated using the provided standard errors and assuming a t-distribution. However, the standard errors are not provided in the given format, so we cannot calculate the confidence intervals.

(e) To perform a 5% test of the overall significance of the regression model, we need the F-statistic and its corresponding p-value. Unfortunately, these values are not provided, so we cannot perform the test or comment on the results.

The null hypothesis (H0) for the overall significance test would be that all slope coefficients are equal to zero, indicating that none of the independent variables have a significant effect on cigarette consumption. The alternative hypothesis (Ha) would be that at least one of the slope coefficients is not equal to zero, indicating that at least one independent variable has a significant effect on cigarette consumption.

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The distance over which the force acts on the box, given that 70 N is applied to the 10 Kg box is 3.125 m

We'll begin by obtaining the acceleration of the box. Details below:

Net force = mass × acceleration

40 = 10 × acceleration

Divide both sides by 10

Acceleration = 40 / 10

Acceleration = 4 m/s²

Finally, we shall determine the distance. Details below

v² = u² + 2as

5² = 0² + (2 × 4 × s)

25 = 0 + 8s

25 = 8s

Divide both side by 8

s = 25 / 8

s = 3.125 m

Thus, we can conclude that the distance covered is 3.125 m

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