A small immersion heater is rated at 315W . The specific heat of water is 4186 J/kg?C?. Estimate how long it will take to heat a cup of soup (assume this is 250 mL of water) from 20?C to 60?C. Ignore the heat loss to the surrounding environment

Answer:

Resultant horizontal force  :  16 N

Resultant vertical force :   4 N

Explanation: Force acting on left : 3N

                      Force acting on left : 1 N

                      Forces acting on left : 3N + 1N = 4N

                       Force acting on right : 12 N

                       Resultant horizontal force  : 12 N - 4 N = 16 N

                      Force acting upwards : 4 N

                      Force acting upwards : 2 N

                      Forces acting upwards : 4 N + 2 N = 6 N

                       Force acting downwards : 10 N

                        Resultant vertical force : 10 N - 6N = 4 N

a) The speed of each seat in an amusement park ride of a rotating circular platform is calculated to be 5.57 m/s.

b) The tension in the chain if a child of mass 49.1 kg sits in a seat is calculated to be 650.79 N.

a) By drawing a free body diagram, we represent the two types of forces on the seat. They are represented by the equation, sum of forces in the y direction,

∑F = ma

T cos θ − mg = 0

T = mg / cos θ

Sum of forces in the centripetal direction,

∑F = ma

T sin θ = m v² / r

(mg / cos θ) sin θ = m v² / r

m g tan θ = m v² / r

g tan θ = v² / r

v = √(gr tan θ)

First, let us find the radius of the path,

r = 7.4 / 2 + 1.81 sin 26.6°

r =  3.7 + 1.81× 0.45 = 6.33 m

v = √(9.8 m/s² × 6.33 m × tan 26.6°)

v = √(9.8 × 6.33 × 0.5) = 5.57 m/s

b) T = mg / cos θ

T = (10 kg + 49.1 kg) (9.8 m/s²) / cos 26.6° = 579.2/0.89

T = 650.79 N

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Centripetal force is the portion of a force exerted on an object in curvilinear motion that is directed at the axis of rotation or the centre of curvature. A fictitious force that moves in a circle and is directed away from the centre is called centrifugal force.

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The mass of the book is 0.48 g

According to the Newton's second law of motion

Force(F)= Mass(m) × Acceleration(a)

Here, Force (F) = 4.7 Newton (N)

The acceleration due to gravity (g) = 9.8 m/s²

We have to find the mass of the book.

Putting the given values in the equation F=m×a

                                                               4.7 N = m × 9.8 m/s²

                                                                m = 0.48 g (approx.)

Hence, the mass of the book is 0.48 g

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Answer: a. They are universally accepted as true.

Explanation: Scientific facts must be universally accepted as true, if not they can't be accepted

Answer:

Below

Explanation:

Kinetic Energy = 1/2 m v^2

K.E. = 1/2 ( 3.8 kg) ( 38 m/s)^2 = 2743.6 J

The required cost to power the refigerator is $5.04.

Electric power is the rate at which electrical energy is transferred by an electric circuit.

To calculate the amount it takes to run the refrigerator, we use the formula below.

Formula:

Where:

From the question,

Given:

Hence, the cost is $5.04.

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A car is driving on a level road and has a force of 1000 N acting on it to the right. The road has friction acting on the car with a force of 200 N to the left. The car's engine is providing a force of 800 N to the right.

Force Diagram:

[1000N] ____________

|

|

|

[800N] ____________|

|

|

|

[-200N] ___________|

Where the arrow pointing to the right represents the force acting to the right, and the arrow pointing to the left represents the force acting to the left.

The force of 1000 N is the force of the wind pushing the car to the right. The force of 200 N is the friction acting on the car from the road trying to slow it down. The force of 800 N is the force provided by the car's engine pushing the car to the right.

Power is the rate at which work is done, and it is measured in watts (W). It can be calculated using the formula:

Power = Work / Time

Work can be calculated using the formula:

Work = Force x Distance x cos(theta)

where Force is measured in Newtons, Distance is measured in meters and theta is the angle between the force and displacement vectors.

As we are not giving any value for the angle between force and displacement vectors, we can assume it's zero degree, so the cos(0)=1

So we can plug in the given values to find the work done:

Work = 35 N x 20 m x 1 = 700 J

Now we can calculate power:

Power = 700 J / 5 s = 140 W

Therefore, the power of the bus is 140 Watts

if the volume of a container of gas is decreased the pressure of the gas will increases.

The pressure (p) of a given quantity of gas changes inversely with its volume (v) at constant temperature, according to this empirical connection, which was established by the physicist Robert Boyle in 1662. In equation form, this means that pv = k, a constant. The French physicist Edme Mariotte also found the connection (1676).

We know that

pv = k

v ∝ 1/p

So, if the volume of a container of gas is decreased the pressure of the gas will increases.

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Answer:

1. The momentum of the baseball as it is released by the pitcher is 0.913 Ns.

2. The velocity of the baseball after the impulse is 9.3 m/s.

3. The average force that the catcher must apply during the 0.15 second time interval is 12.2 N.

Explanation:

1. Momentum = Force x Time = 6.2 N x 0.65 s = 0.913 Ns

2. Velocity = Momentum / Mass = 0.913 Ns / 0.145 kg = 9.3 m/s

3. Force = Change in Momentum / Time = (0.913 Ns - 0) / 0.15 s = 12.2 N

The number of atoms on either side of the reaction equation must match for there to be a balanced reaction equation.

The correct option is C.

Whether it originate from the same element or another, two or more chemically bonded atoms make up a molecule. For instance, the combination of two atoms of hydrogen and an oxygen atom yields one mole of a material.

Among the first things you discover in chemistry is this: Because atoms and molecules are so little, numbering them by the trillions and trillions is as useless as counting them one by one because even a few milligrams of a substance contain so many atoms or molecules. Therefore, chemists employ a unit known as the mole.

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Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the speed of the blades tips can be quite high-many times higher than the wind speed. A turbine has blades 59 m long that spin at 14 rpm. The Centripetal acceleration will be equal to 126.684 rad/sec².

We have specified the blade's length, which is radius r = 59 meters.

Angular speed ω= 14 rpm = 2x3.14x14 = 1.4653 rad/sec

                                                 60

Finding the centripetal acceleration is necessary.

Since centripetal acceleration is determined by

αc = v²/r² = ω²r ( as v =ωr)

hence, angular acceleration

αc = 1.4653 rad/sec x59 =126.684 rad/sec².

Centripetal; the rate of acceleration will be 126.684 rad/sec².

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The additional force needed to bring the car into equilibrium is equal to the mass of the car times the acceleration of the car, or F = ma.

Equilibrium is a state of balance and stability between opposing forces or actions. In economics, it refers to the point where the supply and demand for a given product or service are equal, and the market price of the product or service is stable. In physics and chemistry, equilibrium is a state in which different competing forces are balanced, so that no net change is observed. In biology, it is the ability of an organism to maintain a stable internal environment despite changes in external conditions. Ultimately, equilibrium is a state of balance, stability, and homeostasis.

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Helium and air

The Hirschfelder equation, D(air-He) = 2.22 x 10-5 cm2/s, can be used to calculate a gas-phase diffusion coefficient of air and helium.

Difussion is a crucial step in the manufacturing of some products, including semiconductors, where it is utilised to create the proper chemical composition. It involves molecules moving from a region of higher concentration to one with a lower concentration. This phenomenon, which is brought about by the random movement of molecules, occurs naturally in all systems. The process of diffusion is crucial for a variety of processes, such as the transmission of heat, the exchange among gases during respiration, and the passage of nutrients through cell.

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A

excretion, because Energy is being released alongside carbon dioxide and water. (on a personal side note it sounds like what happens to your cells/body when you exercise.)

The numerous nails that come into touch with his body while he is heavy and the block are heavy are responsible for much of the force.

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Answer:

The system has parts that sense the amount of output, allows negative feedback to control a system

Explanation:

The value of the mystery displacement is 8.74 m. We can find it by dividing the force value with the work that was done to the object.

As per given data are work(W) = 376 J and Force(F) = 43 N, we can use a formula that contain correlation between work and force. The formula is W = F * Δx where   Δx is displacement value. Hence, in order to find the value of displacement, the calculation will be:

W = F * Δx

376 = 43 * Δx

Δx = [tex]\frac{43}{376}[/tex]

Δx = 8.74 m

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The value, in cents. of x pounds of 40-cent cookies and (30-x) pounds of 50-cent cookies are x(40) + (30-x)(50) = 40x + 1500 - 50x = 1500 - 10x

The pound is a mass and weight measurement unit that is used in both the imperial and American customary systems. It is equal to 16 ounces or 0.45359237 kilograms. It is used in a variety of contexts, including engineering, commerce and finance, as well as everyday use. In the United Kingdom and other countries of the Commonwealth of Nations, it is the basis of their currency; one pound sterling is equal to 100 pence. The origin of the pound dates back to the Roman Empire, when it was known as the libra.

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According to the given statement 1500 -10x represents the equation in terms of x.

The term "pound" can also refer to a unit of mass in other situations. The pound is a unit of mass, and the international standard sign for it is lb. The weight of the mass unit (pound-mass) onto Earth's surface is about equivalent to the force unit in the "engineering" categories (middle column) (pound-force).

We are assigned the task of expressing an equation in terms of x using the provided information.

In this case, we must multiply the pounds by the number of cookies.

Where,

x=pounds × cent cookies

In light of the fact that for x pounds of 40 cent cookies.

And (30-x) pounds of 50 cent cookies

Let us form an equations in terms of x:

⇒40x+50(30−x)

⇒40x+1500−50x

⇒1500−10x

As a result, 1500 -10x represents the equation in terms of x.

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If the boy swings the toy with a linear velocity of 2m/s, the toy will move in a circle. The force required to maintain the toy's motion IS 750g * m/s^2

The linear velocity of an object moving in a circle is related to its angular velocity (measured in radians per second) and the radius of the circle. The linear velocity is given by the equation: v = r * w, where v is the linear velocity, r is the radius of the circle, and w is the angular velocity.

In this case, the radius of the circle is 0.8m and the linear velocity is 2m/s. Therefore, the angular velocity of the toy can be calculated as: w = v/r = 2m/s / 0.8m = 2.5 rad/s.

The toy has a mass of 150g and it moves in a vertical circle with a radius of 0.8m and a linear velocity of 2m/s, so it will move in a circle. The force required to maintain this motion is the centripetal force, which is given by the equation F = m * a, where F is the force, m is the mass of the toy and a is the centripetal acceleration. The centripetal acceleration is given by the equation a = v^2/r, where v is the linear velocity and r is the radius of the circle.

So, the force required to maintain the toy's motion is F = m * a = 150g * (2m/s)^2 / 0.8m = 750g * m/s^2

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Answer:

2 м/с

Explanation:

Скорость надо разделить на время, за которое она достигается (10/5=2)

The efficiency of the engine is given 27.5%. The input energy of 2.5 L gasoline is 83.75 J. Then, the energy output will be 23.01 J.

The efficiency of an engine is the ratio of its output work done to the energy input. No engine can have 100% efficiency. Hence, some energy is lost in the form of heat.

Given that, the efficiency of the car's engine is 27.5 %. Input energy of 1 L gasoline is 33.5 J. Then, energy input for 2.5 l is:

input energy = 2.5  × 33.5 = 83.75 J.

Engine efficiency = energy output/ input energy × 100

O/ 83.75J × 100 = 27.5 %

O/83.75 = 0.275

then output energy = 83.75 × 0.275 = 23.01 J.

Therefore, the energy output of the fuel is 23.01 J.

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Answer:

1000 N

Explanation:

The net force is sum of all forces when considering in a one-dimensional motion. Since each people pull the object 200 N then that means 5 people together would pull 5 × 200 N = 1000 N.

Therefore, the net force is 1000 N

Answer:

Ultraviolet Radiation

Explanation:

UV radiation has the highest frequency/shortest wavelength.  

Range     Wavelength (nm)   [nm = nanometers; 10^-9m]

Ultraviolet   10-400 nm

Violet -       400-420  nm

Indigo -      420 - 440 nm

Blue -         440 - 490 nm

Green -     490 - 570 nm

Yellow -    570 - 585 nm

Orange -    585 - 620 nm

Red -          620 - 780 nm

Visible:  

5 × 60 = 300

Therefore, you could run 300 meters in 60 seconds.

Answer:

300 meters

Explanation:

5 x 60 = 300

According to the law of conservation of mechanical energy, if the only force acting on this pendulum is gravity, the total energy of the system is the same at a, b and c.

A, B and C are the three different positions of pendulum bob. A is the left most extreme position. B is the centre position. C is the right most extreme position.

When a pendulum bob is suspended from a rigid support, the extreme positions A and C are said to possess only potential energy where as the centre position of the bob is said to possess only the kinetic energy.

According to the principle of law of conservation of energy in pendulum, the energy can neither be created nor destroyed but can be transformed from one form to another.

Thus, the total energy of the system is the same at all the positions of the pendulum bob.

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The surface tension of the liquid is 24.1 g/m.

To calculate the surface tension of the liquid, we can use the formula:

surface tension = (extra force required) / (length of the film)

extra force required = 3.03 g

internal radius = 3 cm = 0.03 m

external radius = 3.2 cm = 0.032 m

The length of the film can be calculated as the circumference of the external ring minus the circumference of the internal ring:

length of the film = (2 * pi * external radius) - (2 * pi * internal radius)

= (2 * pi * 0.032 m) - (2 * pi * 0.03 m)

= 0.1257 m

So, the surface tension can be calculated as:

surface tension = (3.03 g) / (0.1257 m)

= 24.1 g/m

The surface tension of the liquid is 24.1 g/m.

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Answer:

d biomass

Explanation: