1. A car begins at a speed of 3m/s and accelerates at 2m/s² over a distance of 40m,
calculate the final speed of the car.

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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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.

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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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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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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Assuming that the night will remain clear, calm, and unsaturated, the predicted minimum temperature is 32°f. suddenly, the wind speed increases and remains gusty throughout the night. The minimum temperature will most likely be higher than predicted due to mixing.

As wind speed increases, it moves the air molecules at a greater frequency due to collisions, and hence, the overall kinetic energy of the molecules increases making them move at a higher speed.

When the night is calm and clear then the surface of earth will be cooler than usual as the air molecules move at normal speed. However, when the wind speed increases, it draws warmer air from the surrounding which is mixed downward on the earth's surface preventing the temperature from dropping. Therefore, on a such night, the temperature will be slightly warmer than usual.

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Answer:

144 Newtons towards the nearest firefighter

Explanation:

The net force is 200 - 56 = 144N

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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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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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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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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To determine the force constant (k) of a spring, we need to perform an experiment which requires a retort stand and clamp, a spiral spring, a meter rule and different weights.

Force constant of the spring or the spring constant can be defined as the stiffness of the spring.

The setup is arranged as shown in the image attached as Fg.1.

The natural length of the spring is first recorded. Different weights are added to the spring one after the other and the extension is recorded, each time when the different weights are added simultaneously

The weight is now plotted on the vertical axis and the extension is plotted on the horizontal axis. The slope of the graph is the force constant of the spring.

The graph is shown in the image attached as Fig.2

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The spring constant, k, in Hooke's Law has units of Newton per meter since it is a constant for the force applied per unit of length. The spring constant measures how strong and stiff the spring is. Hope this answers the question. Have a nice day.

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

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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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].

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

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When plates of capacitor are slowly pulled to the half so, voltage of capacitor is now V/2.

The charge Q and voltage V between the capacitor plates are related to the energy U C U C stored in a capacitor because it is electrostatic potential energy. A charged capacitor stores energy in the electrical field that develops between its plates. The capacitor charges up, expanding the electrical field. Two parallel lines, either flat or curved, should be close but not touching in order for the capacitor symbol to accurately represent how the capacitor is constructed.

The capacity of a component or circuit to gather and hold energy in the form of an electrical charge is known as capacitance. Devices that store energy include capacitors, which come in a variety of sizes and shapes.

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The height at which the stream of water strike the building is 12.9 m.

The time of motion of the stream of water is calculated as follows;

X = Vₓt

where;

Substitute the given parameters and solve for time of motion of the water,

t = X/Vₓ

t = (48 m) / (40 x cos24)

t = 1.31 seconds

The height reached by the stream of water is calculated as follows;

h = Vyt - ¹/₂gt²

where;

Substitute the given parameters and solve for the height reached by the stream of water

h  = (40 x sin24)(1.31)  -  ¹/₂(9.8)(1.31)²

h = 12.9 m

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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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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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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 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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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:

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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If energy is released in a chemical reaction, the order of reaction’s characteristics from start to finish are higher energy of reactants → transition state → lower energy of products

When two or more two molecules interact with each other and undergo certain chemical changes, a chemical reaction occurs. Chemical reaction results in changes in the chemical properties of the reactants.

There are two types of chemical reactions involving energy. If energy is absorbed during the reaction it is called as Endothermic reaction. If energy is released during the reaction it is called as Exothermic reaction.

Therefore, the order of reaction’s characteristics from start to finish are

Higher energy of reactants

         ↓

Transition state

         ↓

Lower energy of products

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The boot and incline have 0.859 as their static and kinetic friction coefficients.

We start for the first angle where the given angle is 36.5 ° and the acceleration is zero.

The force equations would be given by:

F = m g sin θ

N = m g cos θ

Fr = μs N

Where μ is coefficient of friction (static)

If we make a sum of forces in the direction in which the block moves we will have the sin θ Component and that of the friction force, so

∑ F = 0

F - Fr = 0

F = Fr

mg sin θ = μ N

m g sin θ = μ m g cos θ

solving for the coefficient, then

μ = sin θ / cos θ = tan θ

substitute the value in the above equation, we get

μ = tan (36.5)

μ = 0.740

We apply the same consideration for the angle of 30.5°, then we know that

μk = tan θ

substitute the value of θ, in the above equation, we get

μk = tan (30.5)

μk = 0.859

Therefore, the value coefficients of static and kinetic friction between the boot and the incline is 0.859.

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a rubber boot is at rest on an inclined plane. when the angle of inclination of the plane is increased to 35.8°, the boot begins to slide.

How do you calculate force on an incline?

Inclined plane formulas for a cubic block

      Gravitational force: F g = m × g F_g = m \times g Fg=m×g, where m is the mass of object and g is the gravitational constant

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