A pencil is viewed through a concave lens. Which of the following best describes the image?A.RealB.InvertedC.VirtualD.Enlarged

The magnetic dipole moment of the current loop is  0.025 Am².

The magnetic torque on the loop is 2.5 x 10⁻⁴  Nm.

The magnetic dipole moment of an object, is the measure of the object's tendency to align with a magnetic field.

Mathematically, magnetic dipole moment is given as;

μ = NIA

where;

μ = (1) x (25 A) x (0.001 m²)

μ = 0.025 Am²

The magnetic torque on the loop is calculated as follows;

τ = μB

where;

B = √(0.002² + 0.006² + 0.008²)

B = 0.01 T

τ = μB

τ =  0.025 Am² x 0.01 T

τ = 2.5 x 10⁻⁴  Nm

Thus, the magnetic dipole moment of the current loop is determined from the current and area of the loop while the magnetic torque on the loop is determined from the magnetic dipole moment.

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We will have that the magnification will be given by:

That is:

So, the magnification is approximately -0.667.

a)The kinetic energy is  7425 J.

b) Theight at which the bicycle starts is 1147 m.

For the given problem, we are dealing with kinetic and potential energy, where Kinetic energy is the energy an object has since its movement. On the off chance that we need to accelerate an object, at that point we must apply a force. Applying a force requires us to do work. After work has been done, energy has been transferred to the object, and the object will be moving with a new constant speed,However when its position is modified from its regular equilibrium position, the bow is able to store energy by virtue of its position. This put-away energy of position is alluded to as potential energy. Potential energy is the stored energy of position had by an object.

Since we were given a mass which is 66 kg and a velocity of 15 m/s

Since the formula of kinetic energy is:

K.E=  (1/2)mv², where m is the mass of the object  and v is the velocity of the object moving .

= 1/2 (66)(15 m/s)²

=7425 J

For the second part the kinetic energy is converted to the potential energy, so the formula for the potential energy is

P.E = mgh, where m is the mass , g is the acceleration due to gravity and h is the height at which the object.

=7425 J =mgh

=>h= 7425/(mg)

=>h =7425/66*15

=>h =11.47 m

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Given data:

* The mass of ball A is m_1 = 1 kg.

* The mass of ball B is m_2 = 1 kg.

* The initial velocity of ball A is u_1 = 5 m/s.

* The final velocity of ball A is v_1 = 0 m/s.

* The initial velocity of the ball B is u_2 = 0 m/s.

Solution:

According to the law of conservation of momentum, the net momentum of the system before the collision is equal to the net momentum of the system after the collision.

Thus,

Substituting the known values,

where p_2 is the momentum of the ball B,

Thus, the momentum of ball B after the collision is 5 kgm/s.

Hence, the third option is the correct answer.

We are given a graph of position vs time. We are asked to determine the speed at 5 seconds. To do that we need to determine the slope of the line above the time point of 5 seconds. To determine the slope of the line we will use the following formula:

This means that we need to choose two points in the line. We use the graph to determine these points as follows:

The points we have chosen are:

Replacing in the formula for the slope we get:

Solving the operations:

Therefore, the speed at 5 seconds is 0.5 meters per second.

For part B the following points can be taken:

Option A is the correct answer: A secondary source is more helpful than a primary source when you want to confirm the conclusion with your own experiment.

Primary and secondary sources work well together to support the argument you are trying to make. Although secondary sources demonstrate how your work connects to earlier research, primary sources are more reliable as evidence. When you want to confirm the conclusion of your experiment, secondary sources prove to be more useful.

Original research is built on primary sources. You are able to discover novel information, offer solid justification for your claims, and provide reliable facts on your subject.

Secondary sources are useful for getting a comprehensive perspective of your subject and learning other researchers' methods. They frequently combine numerous primary materials that would take a lot of time and effort to obtain independently.

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To find

What is thermodynamics

Explanation

Thermodynamic study about the transfer of energy to and fro from a system.

Thus thermodynamics is the movement of heat

Conclusion

The correct option is movement of heat

The process of charging a capacitor consists of transferring charge from the plate at lower potential to the plate at higher one (higher potential).

When a battery is connected in series with a resistor and capacitor, a large initial current flows when the battery moves charge from one capacitor plate to the other. As the capacitor charges to the battery voltage, the charging current asymptotically decreases until it is zero.

Therefore, a unidirectional flow of electric charge is known as direct current. When the voltage from the power source matches the voltage at the capacitor terminals, the capacitor is fully charged. When the electrical circuit's current stops flowing, the charging phase of the capacitor is complete.

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Answer:

a=0.05m/s²

Explanation:

force=mass × acceleration

f=ma

f=50N

m=1000kg

a=?

50=1000×a

50=1000a

a=50/1000

a=0.05m/s²

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The angle θ made by the rope with the box is equal to 25.17 degrees.

If the rope is pulled at an angle A and the tension in the rope was T, then the rope will have two components of forces,

One Vertical which is TsinA and one along horizontal which is TcosA,

And we know,

W = F.s.cosα

Where,

F is the force applied,

s is the Displacement along force,

α is the angle between them,

We know, the box is moving forward, so the angle between the vertical component of tension and displacement is 90 degrees, so the vertical component of tension will not do any work, and the angle between displacement and the horizontal component is 0 degrees,

So, the work done by the horizontal component is 0 degrees,

So, we cam write,

W = TcosA.D

where D is the displacement of the box, which is given to be 23m,

T is the tension in the string which is 120N,

W is the work done by the rope on the box which is 25000J,

so, putting all the values,

2500 = 120.cosA.23

cosA = 2500/120x23

cos A = 0.9

So, A is 25.17 degrees.

The angle made by the rope is 25.17 degrees,

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The change in the reservoir, the system or device, and the surroundings are added to determine the overall entropy change. The reservoir's entropy change is. Since entropy is a function of state and we are contemplating a complete cycle (return to initial state), the device's entropy change is zero.

For finite variations at constant T, entropy changes (S) are calculated using the relation G=ΔH - TΔS.

The generation, consumption, conversion, and exchange of thermal energy across physical systems is the focus of the thermal engineering field of study known as heat transfer. Different heat transmission techniques, including thermal conduction, thermal convection, thermal radiation, and energy transfer by phase changes, are categorized.

Conduction is the process through which heat is transported from an object's hotter end to its colder end. Heat naturally transfers from a hotter body to a colder body.

For instance, heat is transferred from the hotplate of an electric stove to the bottom of a saucepan that comes into touch with it.

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The cannon ball will go farther if the the angle of projection is set at 60 degrees

How to determine which angle will result in farther distance

Case 1:

R = u²Sine(2θ) / g

R = 20² × Sine (2×60) / 9.8

R = 346.41 / 9.8

R = 35.35 m

Case 2:

R = u²Sine(2θ) / g

R = 20² × Sine (2×70) / 9.8

R = 257.12 / 9.8

R = 26.24 m

From the above calculations, we can conclude that the ball will go farther, if the angle is 60 °

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Given:

The initial speed of the football is: vi = 0 m/s (as initially, the football is at rest)

The final speed of the football is: vf = 13 m/s

The time for which the football accelerates is: t = 0.24 s

The mass of the football is: m = 0.49 kg

To find:

The force exerted on the ball

Explanation:

The acceleration of the ball can be determined by using the following equation.

Substituting the values in the above equation, we get:

The force exerted by the punter on the ball can be determined by using Newton's second law of motion.

According to Newton's second law of motion,

Substituting the values in the above equation, we get:

Final answer:

The force exerted by the punter on the ball is 26.54 Newtons (N).

The average velocity of a car driving down the highway if it’s displacement is 123 m west during a time period of 14.0 s is 8.79 m/sec.

The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity. Unit of velocity is m/sec.

Given in the question a car driving down the highway  it’s displacement is 123 m west during a time period of 14.0 s then the average velocity is given as,

Average velocity = displacement / time

                            = 123/14

                            = 8.79 m/sec

The average velocity of a car driving down the highway if it’s displacement is 123 m west during a time period of 14.0 s is 8.79 m/sec.

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The true statement is the vertical component of the velocity is half of the magnitude of the velocity.

The vertical component of a velocity is the velocity of the object acting along vertical direction.

The vertical component of the velocity acting along the vertical direction is calculated as follows;

Vy = V sinθ

where;

Substitute the value of the angle of projection and evaluate the vertical component of the velocity.

Vy = V sin(30)

Vy = V(0.5)

Vy = ¹/₂V.

Thus, the vertical component of the velocity is half of the magnitude of the velocity.

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The complete question is below

A projectile is thrown at an angle 30° from horizontal. Which statement about its vertical component of velocity is true?

A dog running of constant speed of 3m/s increases it's speed to 7m/s upon seeing a lion. if the mass of the dog is 20kg, the work it does in achieving the new speed is.......​ 400 J.

What is Speed?

Speed is the time rate at which an object is travelling along a path, whereas velocity is the pace and direction of an object's movement. In other words, velocity is a vector, whereas speed is a scalar valu

Work = Change in Kinetic energy

= ½m(v² - u²)

= ½ × 20 kg × [(7 m/s)² - (3 m/s)²]

= 10 kg × 40 m²/s²

= 400 J

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Explanation

Coulomb's law states that the electrical force between two charged objects is directly proportional to the product of the quantity of charge on the objects and inversely proportional to the square of the separation distance between the two objects.

where k is the coulomb constant

Step 1

let

now, replace.

I hope this helps you

The angular velocity of the ball orbiting in circle will be 5 rad/s.

Angular velocity describes the rate at which an object rotates.

Given is a ball that orbits in a circle of radius 10m with a speed of 50 m/s.

The relation between the linear and angular velocity of a body is given by-

v = rω

where -

v is the linear velocity

r is the radius

ω is the angular velocity

On substituting the values, we get -

50 = 10 x ω

ω = 50/10

ω = 5 rad/s

Therefore, the angular velocity of the ball orbiting in circle will be

5 rad/s.

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We know that the radii of the orbit is 6.6 the earth one. To get the distance travel in one day we calculate the circunference of that orbit:

Therefore the distance travel by the satellite is 264199.14 km per day.

Now, to get the orbital velocity we need to use the equation:

where M is the mass of the object at the center (in this case the earth), G is the gravitational constant and r is the radius of the orbit, then we have:

Therefore the orbital velocity is 3077.83 m/s.

magnification and resolution compare between electron and light microscopes by they produce an photograph of a specimen with the aid of using the usage of a beam of electrons instead of a beam of mild.

Electron microscopes range from mild microscopes in that they produce an photograph of a specimen with the aid of using the usage of a beam of electrons instead of a beam of mild. Electrons have a whole lot a shorter wavelength than seen mild, and this lets in electron microscopes to supply higher-decision photos than popular mild microscopes. Electron microscopes may be used to observe now no longer simply complete cells, however additionally the subcellular systems and cubicles inside them.

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The normal force exerted by the track at the bottom of the loop is F = m(v²/h + g).

The normal force at the bottom of a loop, is determined from two opposite forces.

One is reaction to weight and other is from reaction of centripetal force which is due to the curvature of the track.

The normal force exerted at the bottom of a circular loop is calculated as follows;

F = ma + mg

where;

F = m(v²/r) + mg

where;

if the release height of the object = 2h

then, the radius of the track = 2h/2 = h

F = m(v²/h) + mg

F = m(v²/h + g)

Thus, the normal force exerted by the track at the bottom of the loop depends on the weight of the object and centripetal force.

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We have:

m = mass = 0.77 kg

t = time = 2.9 ms = 0.0029 s

vf = final speed = 15.5 m/s

vi= initial speed = 0 m/s

Apply:

• F = m (vf-vi) / t

Replacing:

F = 0.77 (15.5 - 0 )/0.0029

F= 4,155.5 N

Protons have positive charge

Electrons have negative charge

• 22 protons (+22) + 18 electrons (-18 )

22 - 18 = 4 (positive)

• 12 -10 = 2

• 17 - 10 = 7

• 2 - 1 = 1

From most positive to most negative overall charges.

7 - 4 - 2 - 1

Two materials that are conductors - silver, copper

Two materials that are insulators - rubber, dry wood

Answer:

Speed =  4 m/s

Explanation:

Given:

009 (part 1 of 2)

H =1 .19 m

L = 1.98 m

g = 9.81 m/c²

____________

V₀ - ?

Equation of motion horizontally:

L = V₀*t           (1)

Equation of vertical motion:

H = g*t² / 2      (2)

From equation (2):

Time:

t = √ (2*H / g) = √ ( 2*1.19 / 9.81) ≈ 0,49 s

From equation (1):

Horizontal speed:

V₀ = L / t = 1.98 / 0.49 ≈ 4 m/s

We will have the following:

We know that for a simple spring the following is true:

So:

So, the stretch of the spring is directly proportional to the force.

A rope pulls a 72.5 kg skier upa 21.7°slope with /k = 0.120.The rope is parallel to the slope,and exerts a force of 383 N. The acceleration of the skier is approximately 2.97 m/s².

To find the acceleration of the skier, we need to use Newton's second law of motion and consider the forces acting on the skier.

Identify the forces acting on the skier:

The forces acting on the skier are the force of gravity (mg) and the force exerted by the rope (T), where m is the mass of the skier (72.5 kg) and g is the acceleration due to gravity (9.8 m/s²). The force exerted by the rope is parallel to the slope and can be calculated using the given value of 383 N.

Resolve the forces:

Since the rope is parallel to the slope, we need to resolve the force of gravity into components parallel and perpendicular to the slope. The component parallel to the slope is m * g * sin(21.7°).

Apply Newton's second law of motion:

Newton's second law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. Mathematically, Fnet = ma.

Determine the net force:

The net force acting on the skier is the difference between the force exerted by the rope and the component of the force of gravity parallel to the slope. Fnet = T - m * g * sin(21.7°).

Calculate the acceleration:

Using Newton's second law, we can rearrange the equation Fnet = ma to solve for the acceleration (a). a = Fnet / m.

Substitute the values and solve:

Substitute the known values into the equation to find the acceleration.

Therefore, the acceleration of the skier is approximately 2.97 m/s².

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Answer:

  about 0.567 m/s²

Explanation:

You want the acceleration of a 72.5 kg skier up a 21.7° slope with µk = 0.120, towed by a rope exerting a force of 383 N.

The force up the slope is 383 N.

The forces down the slope will be the sum of the force due to gravity and the friction force.

The force down the slope due to gravity is ...

  F = m·g·sin(θ) = (72.5 kg)(9.8 m/s²)(sin(21.7°) ≈ 262.7 N

The force due to friction will be the product of µk and the force normal to the slope:

  F = m·g·cos(θ)·µk = (72.5 kg)(9.8 m/s²)cos(21.7°)·0.120 ≈ 79.22 N

The net force up the slope is ...

  383 N -262.7 N -79.22 N ≈ 41.08 N

This will accelerate a mass of 72.5 kg in the amount of ...

  A = F/m = 41.08 N/(72.5 kg) ≈ 0.567 m/s²

The acceleration of the skier is about 0.567 m/s² up the slope.

__

Additional comment

We don't have to figure the forces. Rather we can figure the gross acceleration due to the tow rope, then subtract the accelerations due to gravity and friction. This saves a few math operations as we don't have to multiply, then divide, by 72.5 kg.

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The value of G is  FR²/M₁M₂. and the dimension of G is  [M⁻¹L³T⁻²]..

The provided formula is of gravitational force F between two objects,

F = GM₁M₂/R²

Where M₁ is the mass of first object and M₂ is the mas of the other object while R is the distance between there centers and G is the universal gravitation constant.

To find the dimension of G, making G the subject of formula,

G = FR²/M₁M₂.

As we know, unit of mass is Kilogram (Kg), unit of force is Newton (N) and unit of distance is Meter (M).

Putting all the values, Units in the place of quantities,

G = N.R²/Kg.Kg

Now, using Dimensional analysis, and writing the dimensions of all the other units,

G = [MLT⁻²][L²]/[M][M]

G = [ML³T⁻²]/[M²]

G =  [M⁻¹L³T⁻²]

The dimensions of G are  [M⁻¹L³T⁻²].

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We will have the following:

First:

Then:

So, the current is approximately 0.04 A.