A 3 kg model airplane is traveling at a speed of 33 m/s. The operator then increases the speed up to 45 m/s in 2 seconds. How much
force did the engine need in order to make this change?

The tension on the connecting string of the two blocks is 6 N.

The given parameters;

The net force on the block along the horizontal is calculated as follows;

\(F + \mu_2Mg - \mu_1 (2M)g = a(M+2M)\\\\10 \ + \ 0.3\times 1\times 9.8 \ - \ 0.2\times 2\times 9.8 = 3a\\\\9.02 = 3a\\\\a = \frac{9.02}{3} \\\\a = 3 \ m/s^2\)

The tension on the connecting string is calculated as follows;

T = m₁a

T = (2M)a

T = 2 x 3

T = 6 N

Thus, the tension on the connecting string of the two blocks is 6 N.

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Answer: If you increase the voltage across a component, there will be more current in the component .

Answer:

Because it is the standard operational range for measuring the body temperature of a living individual.

Explanation:

When making a measuring equipment like a thermometer, you attempt to keep the reading range (Span) as small as possible so that the reading is as accurate as feasible. Because sensors are often rated in percent of span (in this example, span = 45 C–32 C = 13 degrees Celsius), One percent of 13 equals 0.13 degrees Celsius, thus if your sensor has a usual accuracy of 1%, your temperature reading is accurate to roughly 0.1 degrees Celsius.

Your precision would be 0.2 degrees Celsius if you doubled the span. The reading accuracy is now becoming unsatisfactory. Readability is another advantage of analog and mercury clinical thermometers. The markings for 0.1 deg C would be ten times closer together if a mercury thermometer had ten times the range (span). There is a limit to the device's readability.

Hi there!

Drum #2 will have a greater center of mass speed and reach the bottom of the hill first.

The moment of inertia can be thought of as inertia for rotation.

If mass is concentrated at the rim, the drum has a GREATER moment of inertia compared to if the mass is more concentrated towards the center.

Using the Rotational Equivalent of Newton's Second Law:
\(\Sigma \tau = I\alpha\)

**Sum of torques = Moment of inertia * angular acceleration

From this equation, we know that if 'I' increases, 'α' decreases, and thus, the speed of the object's center of mass decreases and it will reach the bottom later.

Therefore, drum #2 with the smaller moment of inertia (mass concentrated at the center) will have a greater angular acceleration ⇒ greater center of mass speed ⇒ read the bottom first.

Option C. The heat absorbed or lost by a substance while it's changing state  correctly describes latent heat

Latent heat is the heat absorbed or lost by a substance while it is changing state.

The latent heat is a type of heat that is transferred during phase change, i.e., while a substance undergoes a change of state.

For example, when ice melts into liquid water, or when liquid water evaporates into water vapor, heat is absorbed from the surroundings.

Latent heat is not associated with a temperature change; rather, it's associated with a change of state.

For instance, the temperature of water remains at 100°C while boiling.

When water is boiling, the latent heat of vaporization is absorbed and utilized to break the hydrogen bonds holding water molecules together to change water from the liquid phase to the gaseous phase.

When the water is boiling, adding more heat won't increase the water's temperature, instead, the extra heat will be absorbed to change the phase of water molecules.

Therefore, the correct answer to the given question is option C: The heat absorbed or lost by a substance while it is changing state.

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Answer:

This problem involves the concept of a random walk, which is a mathematical model of a path consisting of a succession of random steps.

The question asks for the distance, R(n), from the center of a star after n steps of a photon, assuming a 2D random walk.

The random walk in two dimensions has a step length of A_i and the direction of the steps is uniformly distributed in [0, 2π). The change in position after each step can be written in Cartesian coordinates (Δx, Δy), where Δx = A_i cos(θ_i) and Δy = A_i sin(θ_i).

The displacement from the center after n steps is given by the vector sum of all the individual steps. This vector sum can be written in terms of its Cartesian coordinates, (X, Y), where X = Σ Δx and Y = Σ Δy. This sum over n random vectors is itself a random variable. The net displacement R(n) from the center of the star after n steps is given by the magnitude of the net displacement vector:

R(n) = √(X² + Y²)

Because each step is independent and has a random direction, the expected value of the cosine and sine for any step is zero. This means that the expected values of X and Y are both zero.

However, the mean square displacement is not zero. Because the steps are independent, the mean square displacement in each direction is additive. For a 2D random walk:

<X²> = Σ <(Δx)²> = n <(A cos θ)²> = n A²/2

<Y²> = Σ <(Δy)²> = n <(A sin θ)²> = n A²/2

Because <X²> = <Y²>, we can write:

<R²> = <X²> + <Y²> = n A²

So, the root mean square distance (the square root of the mean square displacement) after n steps is:

R(n) = √(<R²>) = √(n) * A

Therefore, the distance R(n) that the photon is expected to be from the center of the star after n steps grows as the square root of the number of steps, with each step having a length A. Please note that this result holds for a 2D random walk. A real photon in a star would be performing a 3D random walk, which would have slightly different characteristics.

Answer:

Explanation:

v(t) = 12 sin(913t + 71°) volts

a )  913° = (π / 180) x  913 radians

= 15.92 radians

a ) angular frequency  ω = 15.92 radians / s

b ) ω = 2πn

n = ω / 2π

= 15.92 / 2 x 3.14

= 2.53 Hz

c ) Period = 1 / n

= 1 / 2.53 = .4 s .

d )

Maximum voltage = 12 volt

e) Minimum volts = - 12 volts

g  ) rms volts = V / √2

= 12 / √2

= 8.48 V

h )

Average voltage = 0

j ) Average power

Vrms² / R

= 12 x 12 / 2 x 220

= .327 W.

k )

v(t) = 12 sin(913t + 71°)

v(t) = 12 sin(913x .003 + 71°)

=  12 sin(73.7°)

= 11.5 V .

Answer:

can someone please answer this i need this for a mastery test aswell

Explanation:

it would be very appreciated

Answer:

3.45 inches = 8.763e-5 kilometers

Answer:

Photovoltaic detection is a technique that converts light into electrical energy. It is a process that involves the use of a photovoltaic cell, which is made up of semiconductor materials, to generate an electric current when exposed to light.

The photovoltaic cell absorbs the photons of light, which then knock electrons out of their orbits, creating a flow of electricity. The amount of electricity produced is proportional to the intensity of the light. The photovoltaic cell is commonly used in solar panels to generate electricity from sunlight. The efficiency of the photovoltaic cell is dependent on several factors, including the type of semiconductor material used, the purity of the material, and the thickness of the cell.

The photovoltaic cell has many applications, including in solar power generation, telecommunications, and remote sensing. The technique of photovoltaic detection is an important area of research, as it has the potential to provide a clean and renewable source of energy that can help mitigate climate change.

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Answer:

∅ = 0 V.m

Explanation:

The electric flux through a surface is given by the following formula:

∅ = E.ΔA

∅ = E ΔA Cosθ

where,

∅ = Electric Flux through the surface = ?

E = Electric Field Intensity = 100 N/C

ΔΑ = Surface Area = 2 m²

θ = Angle between the electric field and the the normal area vector

The electric field is oriented in positive y-axis direction. The surface is parallel to yz-plane, so its normal area vector will be in the direction of x-axis. Therefore, the electric field and normal area vector shall be perpendicular to each other. Therefore,

θ = 90°

Using values in the equation:

∅ = (100 N/C)(2 m²)(Cos 90°)

∅ = (200 N.m²/C)(0)

∅ = 0 V.m

Answer:

I hypothesis that the motion involving the balls in the experiment were moving to create data.

Explanation:

I hope this helps!

1) The force acting on the object during the time interval 0-3 seconds is 1/3 N.

2) The force acting on the object during the time interval 6-10 seconds is -0.5 N.

3) There is no time interval in which no force acts on the object.

(i) Force acting on the object in time interval 0-3 seconds. Force acting on the object is equal to the product of its mass and acceleration, i.e.,F = ma.

In the given velocity-time graph, the acceleration of the object can be determined by determining the slope of the velocity-time graph from 0 to 3 seconds.

Slope = (change in velocity) / (change in time)= (20-0) / (3-0) = 20/3 m/s^2

Acceleration, a = slope= 20/3 m/s^2

Mass of the object, m = 50 g = 0.05 kg

∴ Force acting on the object, F = ma= 0.05 × 20/3= 1/3 N.

Therefore, the force acting on the object during the time interval 0-3 seconds is 1/3 N.

(ii) Force acting on the object in time interval 6-10 seconds. Similar to the first question, the force acting on the object in time interval 6-10 seconds can be determined by determining the acceleration of the object during this time interval.

The slope of the velocity-time graph from 6 seconds to 10 seconds can be determined as follows:

Slope = (change in velocity) / (change in time)= (-20-20) / (10-6) = -40/4= -10 m/s^2 (negative sign indicates that the object is decelerating)

Mass of the object, m = 50 g = 0.05 kg

∴ Force acting on the object, F = ma= 0.05 × (-10)= -0.5 N.

Therefore, the force acting on the object during the time interval 6-10 seconds is -0.5 N.

(iii) Time interval in which no force acts on the object. There is no time interval in which no force acts on the object. This is because, as per Newton's first law of motion, an object will continue to remain in a state of rest or uniform motion along a straight line unless acted upon by an external unbalanced force.In other words, if the object is moving with a constant velocity, there must be a force acting on the object to maintain its motion.

Therefore, there is no time interval in which no force acts on the object.

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Answer:

Kinetic energy is present in an object which is in motion.

Explanation:

The velocity of the crate is 12 m/s and kinetic energy of the crate at the bottom of the ramp is 144.06 J.

Given that,

Weight of the crate = 20 N

Length of the ramp = 3 m

Inclination of the ramp with horizontal = 30°

The friction between the ramp and the crate = 6 N

Potential energy of the crate at the top = 20 * 3 sin 30° = 30 J

Energy lost due to friction = 6 N* 3 m = 18 J

Let the speed of the crate at the bottom be v.

Applying the law of conservation of energy,

30 - 18 = 1/2* (20/9.8)* v²

(12* 24)/2.04 =  v²

v² = 141.18

v = 11.88 m/s ≈ 12 m/s

The kinetic energy of the crate at the bottom of the ramp = 1/2* m* v²

⇒ 1/2* (20/9.8)* 141.18 = 144.06 J

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Answer:

Q = 913.9 gpm

Explanation:

The Hazen Williams equation can be written as follows:

\(P = \frac{4.52\ Q^{1.85}}{C^{1.85}d^{4.87}}\)

where,

P = Friction Loss per foot of pipe = \(\frac{0.4}{1000\ ft}\) = 4 x 10⁻⁴

Q = Flow Rate in gallon/min (gpm) = ?

d = pipe diameter in inches = (400 mm)(0.0393701 in/1 mm) = 15.75 in

C = roughness coefficient = 100

Therefore,

\(4\ x \ 10^{-4} = \frac{4.52\ Q^{1.85}}{(100)^{1.85}(15.75)^{4.87}}\\\\Q^{1.85} = \frac{4\ x \ 10^{-4}}{1.33\ x\ 10^{-9}} \\\\Q = (300384.75)^\frac{1}{1.85}\)

Q = 913.9 gpm

The boxes acceleration up the ramp is approximately 0.109 m/s².

The forces acting on the box can be resolved into two components: one parallel to the incline (F_parallel) and one perpendicular to the incline (F_perpendicular).

Given:

Mass of the box (m) = 40.7 kg

Coefficient of kinetic friction (μ) = 0.17

The force pulling the box (F_p) = 173 N

Incline angle (θ₁) = 14.5°

Force angle (θ₂) = 25.7°

First, we need to calculate the components of the force pulling the box:

F_parallel = F_p * sin(θ₂)

F_perpendicular = F_p * cos(θ₂)

Next, let's calculate the force of friction:

F_friction = μ * (mass of the box) * g, where g is the acceleration due to gravity (approximately 9.8 m/s²)

The force component parallel to the incline is opposed by the force of friction, so:

Net force parallel to the incline (F_net_parallel) = F_parallel - F_friction

Now, we can calculate the acceleration using Newton's second law:

F_net_parallel = (mass of the box) * acceleration

Rearranging the equation, we get:

acceleration = F_net_parallel / (mass of the box)

Now we can substitute the values into the equations and calculate the acceleration

F_parallel = 173 N * sin(25.7°) ≈ 73.88 N

F_perpendicular = 173 N * cos(25.7°) ≈ 154.37 N

F_friction = 0.17 * (40.7 kg) * 9.8 m/s² ≈ 69.44 N

F_net_parallel = F_parallel - F_friction ≈ 73.88 N - 69.44 N ≈ 4.44 N

acceleration = (4.44 N) / (40.7 kg) ≈ 0.109 m/s²

Therefore, the box's acceleration up the ramp is approximately 0.109 m/s².

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The net electric field at point P is 3.2×10^6 N/C, directed towards the left.

To calculate the net electric field at point P due to charges A and B, we need to consider the vector sum of the electric fields produced by each charge individually.

Given:

Electric field due to charge A: E_A = 8.7×10^6 N/C

Electric field due to charge B: E_B = 5.5×10^6 N/C

Since electric field is a vector quantity, we need to consider both magnitude and direction. Let's assume that the electric field due to charge A points to the left and the electric field due to charge B points to the right.

To find the net electric field at point P, we can subtract the magnitudes of the electric fields since they are acting in opposite directions:

Net electric field at point P = |E_A| - |E_B|

Substituting the given values, we get:

Net electric field at point P = 8.7×10^6 N/C - 5.5×10^6 N/C

                           = 3.2×10^6 N/C

Therefore, the net electric field at point P is 3.2×10^6 N/C, directed towards the left.

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The work done by the Coulomb force will be "\(6.08\times 10^{-21} \ J\)".

Let us define the required work done to move that alpha particle to the one of the mid point of the side length as follows.

→ \(W = \frac{4kqQ}{r_1} -(\frac{2kqQ}{r_2} +\frac{2kqQ}{r_3} )\)

→      \(=2kqQ(\frac{2}{r_1} -\frac{1}{r_2} -\frac{1}{r_3} )\)

→      \(=2(8.99\times 10^9)(-1.6\times 10^{-19})(2)(1.6\times 10^{-19})\)

→      \(= (\frac{2}{\sqrt{(5\times 10^{-9})^2+(5\times 10^{-9})} } -\frac{1}{(5\times 10^{-9})} -\frac{1}{\sqrt{(10\times 10^{-9})^2} +(5\times 10^{-9})^2} )\)

→      \(= 6.08\times 10^{-21} \ J\)

Thus the above answer is appropriate.  

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Answer:

60

Explanation:

A box has base dimensions of 30 cm x 30 cm and a mass of 3 kg. Calculate to what

depth it sinks when placed in a tank of water (assume the sides are sufficiently high,

so that it floats). Density of water = 1000 kgm-3. Assume g=10 ms-2 for this problem.​

If we replace the incandescent bulb with a voltage meter and return the loop to its original configuration, then moving the bar magnet back and forth through the loop will induce an electrical current in the loop, as described by Faraday's law of electromagnetic induction.

A magnet is a material or object that produces a magnetic field, which is a force that can attract or repel certain other materials, such as iron or steel. The magnetic field is created by the motion of electric charges within the magnet, which align in such a way that they produce a net magnetic field. Magnets can be made from a variety of materials, including iron, cobalt, nickel, and certain alloys. They come in many different shapes and sizes, including bars, discs, horseshoes, and rings.

Here,

The type of current that is generated depends on the direction and rate of the magnet's motion. If the magnet is moved back and forth with a constant speed and in a straight line, the current induced in the loop will be an alternating current (AC), because the direction of the current will reverse every time the magnet changes direction. This can be observed by the voltage meter reading a voltage that periodically changes in direction.

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Organelles are specialized structures within cells that perform specific functions, such as energy production, protein synthesis, and waste removal.

Some examples of organelles include mitochondria, which produce energy for the cell, and ribosomes, which are involved in protein synthesis.

The size of cells can vary widely depending on the organism and the type of cell. For example, human cells can range from 10 to 30 micrometers in diameter, while bacterial cells are typically much smaller, ranging from 1 to 5 micrometers in diameter.

In summary, organelles are specialized structures within cells that perform specific functions, and the size of cells can vary widely depending on the organism and the type of cell.

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Answer:

D

Explanation:

trust me bro

An electromagnet consists of a conductive wire wrapped around a magnetic core, creating a magnetic field when an electrical current is passed through it.

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We have that the statements found falsifiable is

Henry Ford invented the first automobile.

Option A

Generally in as much Ford motor is a great vehicle company

He did not create the first automobile

Credit is give to Karl Benz for The first auto-mobile

Therefore

The statements found falsifiable is

Henry Ford invented the first automobile.

Option A

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Answer:

An analysis yielding the respective forces acting at any point of any member, or part of a member, of a mechanism, obtained by using relationships for dynamic equilibrium in a plane rigid body subject to external forces within this plane and to internal forces due to its motion in this plane.

Answer:

the charge of the bees must be of the same sign

Explanation:

The electric field is given by the relation

            E = k q / r²

This electric field has outgoing direction if the charge is positive and incoming towards the charge if it is negative.

The force generated by this field on a test charge is

            F = q E

Since the charge is a scalar, the direction of the force is the same as the electric field.

In this case the two flowers are at a certain distance and the two charged bees land on them, so the force on a test charge is the vector sum of the force that each bee creates, so that this force is subtracted from the two bees must have the same charge sign.

The force created by the bee on the left goes to the right and the force created by the bee on the right goes to the left, so the forces are subtracted,

Consequently the charge of the bees must be of the same sign

Answer:

Option C, acting as waves and particles

Explanation:

Light has dual nature  because it acts both as a wave and particle. It has high energy particle i.e photons and it also behave as an electromagnetic wave. This property of light is studied under the quantum mechanics. Einstein also proved that light is a stream of photons possessing both electrical and magnetic properties.

Hence, option C is correct

The small car and the truck experience the same magnitude of momentum change.

The given problem is based on the concept of momentum and law based on it, which is known as Conservation of momentum. As per the law of conservation of momentum, "Whenever there is a collision between the two objects, then the change in momentum before collision is equal to the change in momentum after the collision".

From the conservation of momentum, whatever magnitude of momentum is lost by one of the vehicles will be gained by the other vehicle and momentum will be conserved.

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