If Rico pulls on a 30 kg box of supplies with a force of 200 N towards the nearest firefight and Ace pulls on the box with a force of -56 N in the opposite direction, what is the net force (in Newtons) on the box of supplies?

Based on the principle of moments, the correct options are:

1. If the outside support is removed, the plank will be balanced; option D

2. To balance the simple plank balance, place the 200 gram weight 125 cm left of the fulcrum; option C

3.  the mass of the mystery box is 8 kg; option D

The principle of moments is the principle that describes the turning effect produced by forces.

The principle of moments states that for a system of balanced forces, the sum of the clockwise moment about a point equals the sum of the anticlockwise moment about the same point.

The formula for calculating moments about a poit is given below:

Considering the given questions:

1. Assuming the fulcrum is the balance point of the plank balance.

Taking left as anticlockwise and right as clockwise motion

Anticlockwise moment = 30 * 3

Anticlockwise moment = 90

Clockwise moment = 45 * 2

Anticlockwise moment = 90

Therefore, the plank balance is balanced.

2. Assuming the fulcrum is the balance point of the plank balance.

Taking left as anticlockwise and right as clockwise motion

Clockwise moment = 500 * 50

Anticlockwise moment = 25000

Anticlockwise moment = 200 * d

Anticlockwise moment = 200d

200d = 25000

d = 125 cm to the left of the fulcrum

3. Assuming the fulcrum is the balance point of the plank balance.

Taking left as anticlockwise and right as clockwise motion

Clockwise moment = 10 * 4

Anticlockwise moment = 40

let the mass be m

Anticlockwise moment = m * 5

Anticlockwise moment = 5m

5m = 40

m = 8 kg

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Temperature rise hourly = 0.956 degree Celsius

2.3245 hours are the time limit for the process.

The amount of heat needed to raise a substance's temperature by one degree Celsius in one gram is known as specific heat. Calories or joules per gram per degree Celsius are frequently used as the units of specific heat. For instance, water has a specific heat of 1 calorie (4.186 joules) per gram per degree Celsius.

Heat produced per hour per 1kg = 4 KJ

Heat absorbed per kg per hour = temperature rise x specific heat of body

4 = temp rise x 4.184 KJ/kgK

temperature rise per hour = 4/4.184 = 0.956 C

For calculation of time limit

increase of C = ( increase in F) x 5/9

                        = 4 x 5/9 = 2.22

Now per hour rise = 0.956 C

time required to rise per 2.22 C = ( 2.22 /0.956)

                                                     = 2.3245 hours

Hence time limit = 2.3245 hours

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The characteristics of electromagnetic radiation include amplitude (brightness), wavelength, frequency, and period. We have shown that the frequency of a light wave is proportional to its energy by the equation E = h v or E=hnu

so

Radiation with a wavelength of 8.1 X 10^-8 m has the highest energy

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Answer:

D. the universe began with an enormous explosion.

Explanation:

This theory states that the universe began as a single hot, dense, and small point. It then exploded, expanded, became less dense, and the temperature became cooler.

Hope this helps! :)

Vertical part of The F Sign theater will be equal to F. Our result is 76.4 degrees. I apologize, 76.4 Newton. This completes the vertical element of the solution.

In this issue, a luggage handle is pushed while inclined 46 degrees from vertical. 110 Newtons of force, parallel to the handle, are applied. Additionally, we must determine the magnitudes of the horizontal and vertical components of the applied force. so make a vertical angle. 46 degree force is additional.

As a result, the angle with the horizontal will be equal to 44 3 degrees, or roughly 93 - 46 degrees. Therefore, the title to 40 40 is the angle with the positive x-axis of the force. Therefore, fx's horizontal component is F.

Cost information 110 Newton times 44 degrees of force. This results in F. X. about 79.1 Newtons. We must determine the vertical component in section B. Because of this, the vertical component F. I will equal the F Sign theater. Our result is 76.4 degrees. I apologize, 76.4 Newton. This completes the vertical element of the solution. 

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The capacitance of parallel plate capacitor with air is given by

C0=\epsilon0A/d

The capacitance of a parallel plate capacitor with a dielectric of dielectric constant k is given by

Cnew=k\epsilon0A/d

Part A.

Cnew/C0=(k\epsilon0A/d)/(\epsilon0A/d)=k=2

So

Cnew/C0=2

Part B.

Since the capacitor is disconnected from the voltage source. So voltage will be constant

So

\DeltaVnew/\DeltaV0=1

Part C.

Energy stored in the capacitor is given by

PEC=(1/2)CV2

So

PEC,new/PEC,0=Cnew/C0=2

The capacitance of a conductor is defined as the ratio of the quantity of electric charge stored on it to the difference in electric potential. There are two types of capacitance that are commonly recognized: self-capacitance and mutual capacitance. 237–238 Any electrically charged object displays self-capacitance, for which the electric potential between the object and the ground is measured. Mutual capacitance is measured between two conductors and is especially significant in the operation of the capacitor, a device built specifically for this purpose as an elementary linear electronic component.

Capacitance is solely determined by the geometry of the capacitor's design, such as the opposing surface area of the plates and the distance between them, as well as the permittivity of the dielectric material between the plates.

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Unlike the IQ, your emotional intelligence (EQ) may be improved over time by becoming more mindful

Emotional intelligence is the understanding and usage of one's own emotions in a positive way to relieve their stress. It also helps for effective communication, to overcome challenges, to empathize and to defuse any bad situation.

Option A is the correct for IQ ( Intelligence quotient ). Option C is wrong because EQ can be built in any stage of your life. EQ is basically emotions. So option D is incorrect.

Therefore, Unlike the IQ, your emotional intelligence (EQ) may be improved over time by becoming more mindful

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When the coordinate increases at a rate of units per second, the rate of change of the distance from the particle to the origin at this instant would be 0.3 units per second.

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Answer:

Approximately [tex]4.50 \times 10^{11}\; {\rm s}[/tex].

Explanation:

The speed of light is [tex]c \approx 3.00\times 10^{8}\; {\rm m\cdot s^{-1}}[/tex].

Note that the standard unit of energy, joule, is a derived unit. In terms of the standard base units:

[tex]\begin{aligned}1\; {\rm J} &= (1\; {\rm N})\, (1\; {\rm m}) \\ &= (1\; {\rm kg \cdot m \cdot s^{-2}})\, (1\; {\rm m}) \\ &= 1\; {\rm kg \cdot m^{2} \cdot s^{-2}} \end{aligned}[/tex].

Apply unit conversion and ensure that the unit of mass is in the standard unit kilogram ([tex]{\rm kg}[/tex]):

[tex]\begin{aligned} m &= 1\; {\rm g} \times \frac{1\; {\rm kg}}{10^{3}\; {\rm g}} &= 10^{-3}\; {\rm kg}\end{aligned}[/tex].

Apply the equation [tex]E = m\, c^{2}[/tex] to find the energy equivalent to [tex]m = 10^{-3}\; {\rm kg}[/tex] of matter:

[tex]\begin{aligned}E &= m\, c^{2} \\ &= (10^{-3}\; {\rm kg})\, (3.00 \times 10^{8}\; {\rm m\cdot s^{-1}})^{2} \\ &= 9.00\times 10^{13}\; {\rm kg \cdot m^{2} \cdot s^{-2}} \\ &= 9.00\times 10^{13}\; {\rm J} \end{aligned}[/tex].

Divide energy [tex]E[/tex] by power [tex]P[/tex] to find the duration [tex]t[/tex] of the power consumption:

[tex]\begin{aligned} t &= \frac{E}{P} \\ &\approx \frac{9.00 \times 10^{13}\; {\rm J}}{200\; {\rm J \cdot s^{-1}}} \\ &= 4.50 \times 10^{11}\; {\rm s}\end{aligned}[/tex].

In other words, the energy equivalent to [tex]1\; {\rm g}[/tex] of matter could power this fridge for approximately [tex]4.50 \times 10^{11}\; {\rm s}[/tex].

Answer:

Mid-ocean ridges around the globe are linked by plate tectonic boundaries and the trace of the ridges across the ocean floor appears similar to the seam of a baseball.

Explanation:

Answer:

[tex]0\; {\rm J}[/tex].

Explanation:

The speed of an object is a scalar quantity and is independent of the direction in which the object is moving.

The kinetic energy of an object depends only on the mass and speed of this object. If an object of mass [tex]m[/tex] is moving at a speed of [tex]v[/tex], the kinetic energy of this object will be [tex](1/2)\, m\, v^{2}[/tex].

As a result, as long as the speed of the object stays unchanged, changes in the direction of motion of the object will not affect the kinetic energy of the object.

In this question, the speed of this ball was initially [tex]1.72\; {\rm m\cdot s^{-1}}[/tex]. The kinetic energy of this object was initially [tex](1/2)\, (0.140\; {\rm kg})\, (1.72\; {\rm m\cdot s^{-1}})^{2} \approx 0.207\; {\rm J}[/tex].

The speed of this ball stays the same after the ball bounces back from the wall: [tex]1.72\; {\rm m\cdot s^{-1}}\![/tex]. As a result, the kinetic energy of this object would still be [tex](1/2)\, (0.140\; {\rm kg})\, (1.72\; {\rm m\cdot s^{-1}})^{2} \approx 0.207\; {\rm J}[/tex].

As a result, the change in the kinetic energy of this object would be [tex]0.207\; {\rm J} - 0.207\; {\rm J} = 0\; {\rm J}[/tex].

With the application of third equation of motion, the car go as far as 451.3 meters before coming to a stop

Braking Force is the force applied for an object to decelerate or stop. It is also the product of mass and its deceleration.

Given that a car with a mass of 1260 kg is travelling at 38.0 m/s when the driver sees a traffic jam ahead. If the average braking force in modern vehicles is 2010 N,

The given parameters are;

Before we know how far will the car go before coming to a stop, we need to know its deceleration.

F = ma

2010 = 1260a

a = 2010/1260

a = 1.6 m/s²

Now, let us applied third equation of motion

v² = u² - 2as

v = 0 since the car is coming to rest.

0 = 38² - 2 × 1.6 × s

0 = 1444 - 3.2s

3.2s = 1444

s = 1444/3.2

s = 451.25 m

Therefore, the car go as far as 451.3 meters before coming to a stop.

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The spring constant approximately is 1153 N/m.

When an 8 kg fish is suspended in the spring, its new length is 16.8 cm.

The details provided are

The spring's length is 10.0 cm (L1).

Fish mass, m = 4 kg

L2, the spring's final length, is 13.4 cm

The spring's extension is determined by the formula:

x = L2 - L1 x = 13.4 cm - 10.0 cm x = 3.4 cm

The following formula is used to get the spring's spring constant;

F = kx

mg = kx

k = mg/x = 4 * 9.8/0.034 = 1,152.94M/m

The new spring extension when an 8 kg fish is hung on it;

x = mg/k = 8 * 9.8/1152.94 = 0.068m = 6.8cm

6.8 cm + 10 cm = 16.8 cm is the spring's new length.

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Since the picture is not provided, I have given how reflection, absorption, refraction and transmission of visible light works.

There are electrons present in the atoms and molecules of objects. A visible light wave will have certain frequency. If the frequency of the light wave matches with the frequency that causes the electron to vibrate, the electrons will absorb the energy of light for vibrational motion. During the vibrational motion, the vibrational energy is converted into thermal energy. This is how light is absorbed.

The waves that do not match the frequencies are reflected if the object is opaque and is transmitted if the object is transparent. If the object is has high refractive index, the light bends and comes out the other side, It is called as refraction.

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A 30MSUN main-sequence star has the greatest surface temperature.

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The maximum horizontal range the value of θ be 45° then the total time of flight exists 3.7 s.

When an object has either a constant velocity or constant acceleration, kinematic equations can be used to help in problem-solving.

A branch of physics called kinematics, which originated in classical mechanics, defines how points, bodies, and systems of bodies move without taking into account the forces that are responsible for their motion.

Generally from the kinematic equation

v = u - g × t/2

So v exists the velocity at maximum height and the value is v = 0 m/s

substitute the values in the above equation, we get

0 = u - 9.8 × 3.7/2

simplifying the above equation, we get

⇒ u = 18.13 m/s

Here u exists the initial velocity of the dart as it leaves that gun.

Generally the horizontal range of the dart is mathematically represented as

[tex]$R=\frac{u^2 \sin 2 \theta}{g}$$[/tex]

For maximum horizontal range the value of θ = 45°.

So, R max = [tex]$\frac{18.13^2 \sin 2(45)}{9.8} \\[/tex]

⇒ R max =33.54 m

Therefore, the total time of flight is t = 3.7 s.

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A material's relative static permittivity (or static relative permittivity) under specific conditions is a measure of how well it focuses electrostatic lines of flux. It is the ratio of electrical energy stored when a potential is applied to the permittivity of a vacuum. The relative static permittivity equals the relative permittivity calculated at zero frequency. The dielectric constant, relative dielectric constant, and static dielectric constant are other synonyms for relative static permittivity. While these phrases are still widely used, they are unclear and have been rejected by certain standards groups. There are two reasons for the potential uncertainty. depending on the context, relative permittivity

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Answer:

[tex]0.7\; {\rm m}[/tex].

Explanation:

If spring with spring constant [tex]k[/tex] is compressed by [tex]x[/tex] relative to the equilibrium, the elastic potential energy [tex]E[/tex] stored in that spring will be [tex]E = (1/2)\, k\, x^{2}[/tex].

For the spring in this question, it is given that [tex]E = 196\; {\rm J}[/tex] whereas [tex]k = 800\; {\rm N \cdot m^{-1}}[/tex]. The displacement [tex]x[/tex] needs to be found.

Note that [tex]\begin{aligned}E &= 196\; {\rm J} = 196\; {\rm N \cdot m} \end{aligned}[/tex] (one joule is the work done when a force of [tex]1\; {\rm N}[/tex] is applied over a distance of [tex]1\; {\rm m}[/tex].)

Rearrange the equation [tex]E = (1/2)\, k\, x^{2}[/tex] to find displacement [tex]x[/tex] in terms of potential energy [tex]E[/tex] and spring constant [tex]k[/tex]:

[tex]\begin{aligned} x^{2} = \frac{2\, E}{k}\end{aligned}[/tex].

[tex]\begin{aligned} x &= \sqrt{\frac{2\, E}{k}} \\ &= \sqrt{\frac{2 \times 196\; {\rm N \cdot m}}{800\; {\rm N\cdot m^{-1}}}} \\ &= \sqrt{0.49\; {\rm m^{2}}} \\ &= 0.7\; {\rm m} \end{aligned}[/tex].

In other words, the spring has been compressed by [tex]x = 0.7\; {\rm m}[/tex] from the equilibrium.

Answer:

The first two answers are true.

Since F = M a and there is no acceleration there is no net force acting on the puck.

The particles of liquid are closely packed together than the particles of gas.

A liquid is a state of matter that contains particles that are loosely packed and that takes the shape of its container.

A gas is a state of matter that contains particles that are randomly placed and has no definite shape.

Temperature is the property of matter that defines how hot or cold a particular state of matter is.

When liquid and gas is being compared, the particles of the liquid is loosely packed together while the particles of gas are randomly placed and which collided freely with the walls of its container.

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When the velocity of Earth is doubled, the orbit of Earth around the Sun becomes smaller ( A ).

v = √ G M / r

v = Orbital velocity

G = Gravitational constant

M = Mass of the celestial body

r = Radius of the celestial body

Rearranging for r,

√ r = √ ( G M ) / v

Squaring on both sides,

r = G M / v²

If the velocity of Earth is doubled,

v' = 2v

r' = G M / v'²

r' = G M / ( 2 v )²

r' = G M / 4 v²

r' = r / 4

So the radius of orbit of Earth becomes one-fourth its initial radius.

Therefore, when the velocity of Earth is doubled, the orbit of Earth around the Sun becomes smaller ( A ).

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The value of Q so that electric potential at point P becomes zero is -√2q.

A test charge is a charge that is so little that the region it is positioned in is hardly impacted by it. It is possible to gauge the strength and direction of an electric field using a positive test charge, which is a unit positive charge.

The value of Q is -√2q.

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The tension force of the system is 395 N.

The acceleration of the system is 3.95 m/s².

The net force on the system is obtained by applying Newton's second law of motion as follows;

Net vertical force on the masses;

Fu = m₁g cosθ  + m₂g

where;

Fu = (100 kg x 9.8 m/s²) cos(25)  +  (100 kg x  9.8 m/s²)

Fu = 1,868.2 N

Apply the formula for Newton's second law of motion,

m₂a - Ff = -m₁a

where;

m₂a + m₁a = Ff

a(m₂ + m₁) = Fu sinθ

a = Fu sinθ / (m₂ + m₁)

a = (1868.2 x sin25) / (100 + 100)

a = 3.95 m/s²

The tension force is calculated as follows;

F(tens) = m₂a

F(tens) =  100 kg x 3.95 m/s² = 395 N

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Reducing the separation of two bodies to one-fourth its original value will cause the gravitational force between them to become stronger times 16.

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The correct response that shows the forces that act on the ball is "all of the above."

Let us recall that a force is that which is able to impart acceleration to a body and also to change the direction of the object. We also have to know that from the Newton's law, force must always be able to produce an acceleration in an object.

As the child is sitting on the floor and is twirling the ball round the circle there are three forces that acts on the ball and all these force are given as;

1) Tension force

2) Gravitational force

3) Normal force

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Since an object moving in a circular motion will experience a change in velocity, a merry-go-round moving in a circle will be accelerating

Constant speed is also known as uniform speed. The speed of an object is uniform when the distance travel by the object per time taken is steady or constant.

If a merry-go-round moves in a circle at a constant speed, the merry-go-round will be accelerating because the speed may be constant but the velocity is not.

An object moving in a circular motion will experience a constant speed and also change in velocity.

The acceleration experienced by an object moving in a circle is known as centripetal acceleration.

Therefore, a merry-go-round moving in a circle at a constant speed will be accelerating toward to the center.

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Answer:

D,Newton

Explanation:

b/c it is derived unit

Answer:

The newton

Explanation:

is drived because of its definition consist of multiplication of three defined base unit and nothing else it's not independently defined