a 1300 kg car is moving with a speed of 20 m/s. what power is produced by the brakes/friction in order to bring the car to rest in 3 seconds?

Answer:

2070 m

Explanation:

Find the time to fall from d=  762.5 m to the ground :

   d = 1/2 a t^2     shows t = 12.5 s

Horizontal distance =   166 m/s   * 15.5 s =   2069.7 m =~2070 m

The gauge pressure required to give an area of contact of 106 cm2 for each tire is 35 lb/in².

Force  is a push or pulls upon an object because of the object's interplay with some different object. stress is a energy that could change the movement of an object. A pressure can cause an object with mass to alternate its pace, i.e., to reinforce up. strain also can be described intuitively as a push or a pull. A force has every significance and route, making it a vector amount.

Calculation:-

P = F/A

The force acting on the car is supported equally on four tires

The mass on each tire is ;

m = Total mass/4

= 1440 kg/4

= 360 kg

Thus, the force on each tire is

F = mg

  = (360 kg)(9.8)

 = 3528 N

The gauge pressure is 35 lb/in²

The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.

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Option (a) smaller than P  This is because the pressure (P) at any depth 'd' from the top surface of the water with density (ρ).

P = ρ × g × d

where,

g is the acceleration due to the gravity

thus from the above equation it can be concluded that the pressure at any depth 'd' is directly proportional to the density of the water.

thus,

in the given case the density of the water is lower than that in the first case.

The term "Pressure" refers to the thrust (force) applied to a surface per unit area. It can alternatively be described as the force-to-area ratio (over which the force is acting).

Pressure (P) = Thrust/Area is the formula and the unit of pressure

Pascals (Pa) is the SI unit of pressure. 1 Pa = 1N/m2

An illustration would be that a sharp pin is simpler to hammer than a dull pin. This is due to the fact that a blunt pin's end has a lesser area than a sharp pin's end. As a result, there is an increase in pressure, which makes it simpler to hammer the sharp pin.

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The light bends towards the normal line when goes from higher refractive index to lower refractive index material.

Ray of light :

Ray of light is the name for the direct path that light takes.

Bending of a light is defined as:

The index of refraction of a substance affects how light bends

when light beam bends towards the normal when it moves from a rarer to a denser medium, and it bends away from the normal when it moves from a denser to a rarer medium.

The light bends towards the normal line when goes from higher refractive index to lower refractive index material.

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Mechanism of action enhance the effectiveness of  levothyroxine for the patient with hypothyroidism.

What is levothyroxine?

levothyroxine is  also known as L-thyroxine, is a  manufactured from of the thyroid hormone thyroxine. It is used to the  treat thyroihormone deficiency, including a severe from thrle known as myxedema coma. It may also be used to treat and prevent certain types of the thyroid tumors. It is not indicated for the weight loss.

Levothyroxine absorption is the increased by fasting and it is decreased in the  presence of the food and it is the malabsorption syndromes. Dietary fiber to reduces the bioavailability of T4.

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Enzymes are working out of the living cells by binding to reactant molecules.

Enzymes work by binding to reactant molecules and holding them in such a way that the chemical bond-breaking and bond-forming processes take place more readily. Reaction coordinate diagram showing the course of a reaction with and without a catalyst. With the catalyst, the activation energy is lower than without.

Enzymes help with the chemical reactions that keep a person alive and well. For example, they perform a necessary function for metabolism, the process of breaking down food and drink into energy. Enzymes speed up (catalyze) chemical reactions in cells.

Therefore, enzymes are working out of the living cells by binding to reactant molecules.

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Answer:

2) find the power rating of the given transformer:

the transformer is rated at 250v,50hz, and it is used with a circuit which

consists of a 200v,50hz d.c. source and a rheostat.the rheostat is used to control the current in the primary of the transformer.the maximum readable current in the primary of the transformer is 250mA.the transformer is wired as an autotransformer with the primary winding of 250 turns and the secondary winding of 250 turns.the current in the secondary winding of the transformer is to be kept at 10mA when the load current in the rheostat is 10mA.

3) a single phase a.c. supply of 230v,50hz is connected across a series combination of a capacitor and a resistor in parallel with a pure inductor.the resistor and inductor are connected in series with each other.the impedance of the inductor is 100 ohms and the impedance of the capacitor is 60 ohms.the supply current is 10A.

a) find the impedance of the capacitor if the power factor of the circuit is 0.8 lagging.

b

Explanation:

Answer:

Explanation:

Given:

R₁ = 22 Ω

R₂ = 4.5 Ω

U = 45  V

_________

I - ?

P₁ - ?

P₂ - ?

P - ?

Circuit resistance:

R = R₁ + R₂ = 22 + 4.5 = 26.5 Ω

Circuit current:

I = I₁ = I₂ = U / R = 45 / 26.5 ≈ 1.7 А

Lamp voltages:

U₁ = I₁·R₁ = 1.7·22 ≈ 37.40 V

U₂ = I₂·R₂ = 1.7·4.5 ≈ 7.65 V

Power:

P₁ = U₁·I₁ = 37.40·1.7 ≈ 63.6 W

P₂ = U₂·I₂ = 7.65·1.7 ≈ 13.0 W

P = U·I = 45·1.7 ≈ 76.5  W

Answer:

Explanation:

Given:

m₁ = 10 000 kg

V₁ = 4 m/s

m₂ = 1 000 kg

V₂ = 0 m/s

____________

V - ?

The law of conservation of momentum in inelastic collision:

m₁·V₁ + m₂·V₂ = (m₁ + m₂)·V

V₂ = 0

m₁·V₁  = (m₁ + m₂)·V

V =  m₁·V₁ / (m₁ + m₂)

V = 10 000 · 4 / (10 000 + 1 000) ≈ 3,6 m/s

Fragment 2's velocity vector is 80.54°, and the x-axis is at 0.075 and the velocity of the y- axis is 0.46m/s.

We are given that,

Mass of the spring = m = 1.2kg

Speed of the spring = v = 0.05 m/s

Mass of the first fragment = m₁ = 40 kg

Initial speed of first fragment =u₁ = 0.9 m/s

m₂ = 0.8 kg

To find the second segment's velocity using the idea of linear momentum conservation,

Locate the x-axis,

m u cos θ = m₁ v₁ cos θ + m₂ v₂ cos θ

1.2 x 0.05 x cos (0) = 0 + 0.8 v₂ cos θ

v₂ cosθ = 0.075

Find the y-axis:

1.2 (0) = -0.4 (0.9) + 0.8 (v₂ sin θ)

v₂ sinθ = 0.36/0.8

v₂ sinθ = 0.45

By solving above two equation we can get ,

tanθ = 6.0

θ = 80.54°

Putting the value of θ in y- axis component then we get,

v₂ sinθ = 0.45

v₂  = 0.45/sinθ

v₂ =  0.46m/s

Therefore , fragment 2's velocity vector is 80.54°, and the x-axis is at 0.075 and the velocity of the y- axis is 0.46m/s.

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P=VI,Current drawn by each light bulb Number of bulbs x Current produced by each bulb is 15, Number of bulbs = 17/0.625 = 11 Numbers, I=P/V = 75/120=0.625 Amp, Number of bulbs x Current drawn bulb is 15,.

The pace at which charge moves across a location on a circuit is known as current. Multiple coulombs of charge passing over a wire's cross section in a circuit causes a large current to flow. High currents can be produced at low speeds if the charge carriers are tightly packed within the wire.

Electron current refers to the movement of electrons. The negative terminal releases electrons into the positive terminal. Traditional current—also known as just current—behaves as though positive charge carriers are the cause of current flow. Normal current moves from the positive electrode to a negative terminal.

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Mechanical efficiency considers the ratio between the energy expenditure of exercise and option B. Energy output.

Mechanical efficiency is an exercising term that describes the ratio of labor output to work input for the duration of the bodily hobby. The more efficaciously you pass with the least quantity of attempt expended, the greater your mechanical efficiency.

Mechanical gain is the ratio of load to attempt, i.e., Output force to enter force. efficiency is the ratio of labor completed by way of a machine to the work completed on the system, i.e., Output paintings to enter work. The extra efficiently you pass with the least amount of effort expended, the extra your mechanical efficiency. A degree of mechanical performance is specifically important to athletes whose purpose is to improve sports overall performance.

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Hydrogen gas emerges when sodium metal is placed into water. The reaction is therefore 2Na+2H2OH2+2NaOH. Sodium hydroxide is created during the process, and hydrogen gas is also released.

As soon as sodium metal combines with water, sodium hydroxide (NaOH) and hydrogen gas are produced, creating an odorless basic solution (H2). Even after the solution has become fundamental, the reaction still occurs. Because there contains hydroxide in the dissolved state, the final solution is basic. Exothermic is the response. Reversible hydrogen storage could be achieved by using sodium oxide, Na2O, which reversibly absorbs hydrogen, H2, to create sodium hydride, NaH, and sodium hydroxide, NaOH. In the presence of water, sodium metal interacts to form sodium hydroxide and hydrogen gas. when 100.00 g of water and 0.575 g of sodium are combined.

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(a)Velocity of boat relative to the shore is 2.93m/s

(b)Position of the boat will be 13800m down stream

The velocity of boat in still water=2.3m/s

velocity of water=1.2m/s

(a) Velocity of boat relative to the shore=?

the velocity of boat when crossing the river will be towards the North direction

While the velocity of the water in the flowing river would be in East direction

Since the boat is going across the river and the river is flowing in East direction with respect to the boat it will increase the velocity of the boat.

To calculate the velocity of the boat we use Vector addition

We know that the two vectors are perpendicular to each other

Resultant vector=[tex](v1)^{2}[/tex]+[tex](v2)^{2}[/tex]

Let the resultant vector be R

[tex]R^{2}[/tex]=[tex](2.3)^{2}[/tex]+[tex](1.2)^{2}[/tex]

[tex]R^{2}[/tex]=5.29+1.44

[tex]R^{2}[/tex]=6.73

R=[tex]\sqrt{6.73}[/tex]

R=2.93m/s

Thus,

Velocity of boat relative to the shore is 2.93m/s

(b) width of the river=500m

Then position of boat=?

Formula used:

Time =Speed x distance-(i)

Where

Speed is the velocity of boat in still water

Distance is the width of the river

Since here the distance traveled is the width of the river from one shore to the other thus the velocity used will be that of the boat in still water. One would assume to use the resultant velocity instead but that would not lead to the correct solution as the resultant velocity is the velocity with which the boat covers the diagonal distance between the two shores.

putting values in the equation (i)

2.3=500/t (where t represents the time taken to cross the river)

cross multiplying both sides

t=500x2.3

t=500x23/10

t=1150s

Distance =av Speed x Time

Distance= 1.2 x1150

Distance= 13800m  

Position of the boat will be 13800m down stream

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The definition of moment of interia allows to find the results for the moment of inertia with respect to each axis are:

1-Iₓ = m r²

2-Iy=9m r²

3-Iz=10m r².

What is moment interia?

The moment of interia is a scalar quantity is obtained by the expression.

Sol-

I =∫ r² dm

Where I is the moment of inertia, m the mass of the body and r the distance from the axis of rotation.

In the case of point particles, the expression reduces to

    I = m r²

In this case we calculate with respect to each coordinate axis.

a) With respect to the x axis the distance is x = r, the moment of inertia is

      Iₓ = m r²

with respect to the y-axis, indicate that the distance is y = 3 r.

We calculate

        I_y = m (3r) ²

        I_y = 9 m r²

c) Regarding the z-axis.

We look for the distance.

         z =√x^2+y^2

         z = √ 1^2+3^2

We calculate the moment of interia  Iz = m (10r²)

        Iz = 10 m r²

In conclusion using the definition of moment of inertia we can look for the results of the moment of interia for each axis are:

  a) Iₓ = m r²

  b) I_y = 9 m r²

  c) I_z = 10 m r²

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In physics and engineering, a free frame diagram (FBD; also referred to as a force diagram) is a graphical instance used to visualize the applied forces, moments, and ensuing reactions on a frame in a given situation.

A free-body diagram is a sketch of an item of interest with all the surrounding items stripped away and all of the forces acting on the frame shown. The drawing of an unfastened-body diagram is a critical step in the solving of mechanics issues because it helps to visualize all the forces appearing on an unmarried object.

A free-body diagram is a graphic, dematerialized, symbolic representation of the body (structure, element, or segment of an element) wherein all connecting "pieces" have been removed. An FBD is a convenient method to model the structure, structural detail, or phase that is under scrutiny.

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Answer:

because the friction in the baloons and the magnetism make it like nuclear fision

Explanation:

The magnetic field and friction between the balloons when placing two very strong magnets in the middle of two separate balloons provide a good model for nuclear fusion.

Nuclear fusion is the process through which light elements interact to create heavier elements (up to iron). Significant amounts of energy are released when interacting nuclei are from elements with low atomic numbers, such as hydrogen (atomic number 1) or its isotopes deuterium and tritium.

Thermonuclear weapons, or hydrogen bombs, which were created in the decade immediately following World War II, were the first to utilize the tremendous energy potential of nuclear fusion.

There are two main categories of fusion reactions: those that maintain the ratio of protons to neutrons and those that convert protons to neutrons.

Therefore, the magnetic field and friction in the balloons when placing two very strong magnets in the middle of two separate balloons provide a good model for nuclear fusion.

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Answer:

11 N

Explanation:

You will need enough force to overcome the static friction

Fn = 2.50 kg * 9.81 m/s^2

F of static friction =  Fn * coeff static =  2.50 * 9.81 * .448 =~ 11 N

We an see all three objects clearly in the visible part of the spectrum, even though the peak intensity might lie outside that region because we perceive only what lies in the visible region.

The sun and Sirius A emits light in every part of the electromagnetic spectrum. But our eyes cannot perceive every frequency of light. We see only what can be perceived by a human eye. Just because we cannot see other spectrum does not mean that it is not present.

The visible spectrum of light is 400 nm to 780 nm. The colours are:

Therefore, we can see all three objects clearly in the visible part of the spectrum, even though the peak intensity might lie outside that region because we perceive only what lies in the visible region.

The given question is incomplete. The complete question is:

Consider three objects - Sirius A, Sun and light bulb. We can see all three objects clearly in the visible part of the spectrum, even though the peak intensity might lie outside that region. why is this so?

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Water depth decreases at 128/125π ft ^3/min when the cone leaks water at a rate of 10 ft3/min

The ratio of the radius(r) of the upper surface of the water to the water depth (w) is based on the overall dimensions of the cone r/w = 5/10.

The volume of a cone of water is given by the formula V(w) = (π/12)w^3

After differentiation we get dV/dW = π/4w^2

We are told that dV/dT = -3

dW/dT= (dW/dV)(dV/dT) = 4/πw^2(-3)

When the depth of water is 10 ft we get the rate of fall of water is 128/125π ft ^3/min.

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If a sign painted on a store window is reversed when viewed from inside the store and if a person inside the store views the reversed sign in a plane mirror it would appear as it would when viewed from outside the store.

A mirror typically reverses the image when seen from our point of view. Here the sign is initially reversed when seen from inside the store. If the sign is viewed in a mirror from inside the store, the sign would once again be reversed.

Since the sign is reversed from the reversed sign, it would appear normally as viewed from outside the store.  

Therefore, if a sign painted on a store window is reversed when viewed from inside the store and if a person inside the store views the reversed sign in a plane mirror it would appear as it would when viewed from outside the store.

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From a medium with a high index of refraction, light moves to one with a low index of refraction.

Total internal reflection is the complete reflection of a light ray from the surrounding surfaces back into a medium, such as glass or water, in physics. If the incidence angle exceeds a specific limiting angle known as the critical angle, the phenomenon will manifest.

A ray of light in a medium with a higher index of refraction typically causes total internal reflection at the border between two transparent media when it approaches the other medium at an angle of incidence larger than the critical angle.

The essential angle for a water-air surface is 48.5°. The critical angle (and thus the angle of total internal reflection) will vary significantly with wavelength and, therefore, with color since indices of refraction depend on wavelength. Both refraction and reflection take place in different amounts at all angles smaller than the critical angle.

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The three different types of meteorites originate from various locations on their parent bodies. Because only a small portion of a parent body contains both stone and iron, stony-iron meteorites are uncommon.

Pallasites were most likely formed in a relatively small area within these differentiated asteroids, which may account for their scarcity. Only about 45 known pallsites exist among the many thousands of identified meteorites.

More than 95% of meteorites that are seen to crash to Earth are made of stone. The two types of them are chondrites and achondrites. The majority of both types also contain metallic iron in small, dispersed grains, but silicate minerals make up the majority of both.

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According to the law of conservation of energy the total amount of energy in a closed system will always remain constant.

According to the law of conservation of energy, all the energy that is present in this world can only be converted from one form to another, it cannot be created or destroyed.

So, if there is a close system, the energy in that system will always remain constant because the energy will only change its state from one form to another.

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The centripetal force experienced by the small ball of mass 23 g suspended from the string is 0.1354 N.

Given in the question,

Mass of the ball = 23 g

Length of the string = 27 cm

Angle made with the verticle = 31◦

Let  m is the mass of ball

       g is the gravitational force.

       T is the tension applied on the string,

The horizontal force acting on the small ball is,

Σ Fx = T cosθ - mg

       = 0

T = mg / cosθ

The centripetal force acting on the small ball is,

Fc = T sinθ

T = Fc / sinθ

Comparing T and equating both the equations, we have

mg / cosθ = Fc / sinθ

Fc = mg tanθ

Putting the values given , we have,

Fc = 0.023 x 9.8 x tan 31◦

    = 0.2254 x 0.60086

    = 0.1354 N

Hence, the centripetal force experienced by the small ball of mass 23 g suspended from the string is 0.1354 N.

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The speed of the light that the scientists will measure will be 2.8c.

The speed of the light is represented by c. It is given that the speed of both the rocket is 90% of speed of light.

Speed of each rocket V = 0.9c

Both the rocket are moving towards one another.

When the beam abroad from one of the rockets, it will have the speed same that of the speed of light. So, let us say the speed of the beam = u

Hence, the relative speed V' of the one rocket with respect to another,

V' = V-(-V)

V' = 2V.

Now, when the beam arrives from the rocket, it will appear with a relative speed V''

V'' = 2V-(-u)

V'' = 2V+u

Now putting the values,

V'' = 2(0.9c)+c

V'' = 1.8c+c

V'' = 2.8c

So, the speed of light measured by the scientist will be 2.8c.

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The net force of the runner, given the data from the question is 280 N.

What is net force

The net force is the vector sum of forces acting on a particle or object.the net force is a single force that replace the effective of the original forces on the particles motion.

Sol-As per the given question the following data are obtained-

Exerting force = 325 N

Resistance force = 45 N

Net force =?

The net force of the runner can be obtained as illustrated below:

Net force = Exerting force - resistance force

Net force = 325 - 45

Net force = 280 N

From the calculation we can get the runner's net force is 280 N.

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According to the given statement is internal energy 107 J heat was added to the system.

The sum of the kinematic and chemical potential energies of all of the particles in the system is the internal energy. Nanoparticles accelerate and pick up kinetic energy when energy is applied to raise the temperature.

The equation utilized is based on the first rule of thermodynamics and reads as follows:

ΔE = q + w

where w represents the work completed by or on the system. A change in internal energy is represented by ΔE, and q is the heat energy that is either contributed to or released by the system.

The system performs the task, therefore w has a negative sign.

So w = -49 J

ΔE = 58 J

q = ?

Let's plug in the values in the equation:

58 J = q - 49 J

on rearranging this:

q = 58 J + 49 J

q = 107 J.

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The frictional force between the block and the plane is 25 N.

Friction is the force resisting the relative motion of sturdy surfaces, fluid layers, and material factors sliding towards each specific. There are numerous styles of friction. Dry friction is a strain that opposes the relative lateral movement of two stable surfaces in touch.

Calculation:-

mass = 5 kg

angle of inclination = 60°

distance traveled = 500 m

force = mg cos 60°

          = 5 × 10 × 1/2

          = 25 N

Friction is the shape of contact pressure. It exists between the surfaces that are in touch. The frictional force relies upon the character of the floor in contact. The rougher the ground, the extra friction is involved. The frictional force is proportional to the urgent pressure, which is the burden of the body. it's miles impartial of the place of the touch.

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The display of the balance is reset to zero by pressing tare. You shouldn't factor the weight of the container into a compound measurement. Place the container on the scale, wait for a steady reading, and then push the tare key to reset the display to zero to tare the container.

A heavy-duty galvanised steel frame and POWERCELL load cells are included in the Container Scale, an accurate, quick, and dependable solution. The NMI Trade-Approval and compliance with SOLAS regulations of the Container Scale are further advantages.

To zero out the weight of anything that was previously on the scale, such as a bowl, plate, or container, is to tare a scale. Learn how to tare a kitchen scale in this video to ensure that you precisely weigh each ingredient.

When freight exceeds: a 20-foot dry container with a cargo weight over 37,500 pounds (with certain exceptions); a 40-foot dry or high-cube container with a cargo weight over 43,500 pounds (with some exceptions).

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