A vehicle of mass 2000 kg travels at a speed of 72 km/h. Determine your kinetic energy?​

The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.

The cooling law is given by:

$$\frac{dQ}{dt}=-k(T-T_0)$$

where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.

We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.

Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.

Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:

dQ = - dQ where dQ is the heat energy gained by the environment.

We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.

We can rearrange the equation as follows:

$$-\frac{dQ}{dt}=k(T-T_0)$$

$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$

$$\frac{d}{dt}T=-k(T-T_0)$$

The differential equation above can be solved using separation of variables as follows:

$$\frac{d}{dt}\ln(T-T_0)=-k$$

$$\ln(T-T_0)=-kt+c_1$$

$$T-T_0=e^{-kt+c_1}$$

$$T=T_0+Ce^{-kt}$$

where C = e^(c1).

We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.

$$T=T_0+Ce^{-kt}$$

$$73=18+C\cdot e^{-0.09t}$$

$$55=C\cdot e^{-0.09t}$$

$$C=55e^{0.09t}$$

$$T=18+55e^{0.09t}$$

We can now solve for the value of t when T=93 as follows:

$$93=18+55e^{0.09t}$$

$$e^{0.09t}=\frac{93-18}{55}$$

$$e^{0.09t}=1.3636$$

$$t=\frac{\ln(1.3636)}{0.09}$$

Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.

For more such questions on time, click on:

https://brainly.com/question/26046491

#SPJ8

A toy car that is 0.12 m long is used to model the actions of an actual car that is 6 m long. So, The acceleration of the actual car is 1515.15 m/s².

The solution to this question can be achieved through the use of the equation: F = ma Where F is force, m is mass, and a is acceleration.

Step 1: Calculating the mass of the toy car using the ratio of lengths m1/m2 = l1/l2, where m1 and m2 are the masses of the toy car and actual car, and l1 and l2 are their respective lengths.

Rearranging, we have:m1 = (l1/l2)m2 = (0.12 m)/(6 m) m2 = 0.02 m2

Step 2: Using the equation, F = ma, we can determine the mass of the toy car: F = ma2 N = (0.02 m2) a a = 2 N / 0.02 m2 = 100 m/s²

Step 3: Using the same force of 5 N, the acceleration of the actual car can be calculated:F = ma5 N = ma m = m2/l2 m = 0.02 m2 / 6 m = 0.0033 kg a = F/m a = 5 N / 0.0033 kg = 1515.15 m/s²

Therefore, the acceleration of the actual car is 1515.15 m/s².

For more questions on acceleration

https://brainly.com/question/460763

#SPJ8

The probable question may be:

A toy car that is 0.12 m long is used to model the actions of an actual car that is 6 m long. The toy car is pushed with a force of 5 N, causing it to accelerate at a rate of 2 m/s². Assuming the same force is applied to the actual car, calculate the acceleration of the actual car.

Answer:

Electron, proton and neutron

Explanation:

In each and every atom they are consist of electron, proton and neutron.

Answer:

55N

Explanation:

Impulse is the product of Force and Time

Impulse = Force * Time

Given

Impulse = 550Ns

Time = 10s

Force = Impulse/Time

Force = 550/10

Force = 55N

Hence the net force on the scooter is 55N

Answer:

Would it be starting point?

Explanation:

When you start a sport or something, you may not be good or bad at it. However, as time goes on you are going to improve.

Idk if this helps or not buh yeah

The frequency of oscillations of the car when it goes over a bump is 8.99 Hz.

To calculate the frequency of oscillations, we need to use the formula f = 1/(2*pi)sqrt(k/m), where f is the frequency, k is the spring constant, and m is the mass of the car and driver. First, we need to find the spring constant by using Hooke's Law, which states that the force exerted by a spring is proportional to its displacement from its equilibrium position. In this case, the force exerted by the springs is equal to the weight of the car and driver, so we can use F = mg, where g is the acceleration due to gravity. The displacement of the springs is 4.0 mm, which is equivalent to 0.004 m. Therefore, the spring constant is k = F/x = (1600 kg + 73 kg) * 9.81 m/s^2 / 0.004 m = 4,044,225 N/m. Plugging this value into the formula for the frequency, we get f = 1/(2pi)*sqrt(4044225 N/m / 1673 kg) = 8.99 Hz.

Learn more about Oscillation here

brainly.com/question/13112321

#SPJ11

The Romans could have made the statue out of lodestone, or placed a core of lodestone inside. Then the frame of the statue would have had to be made of iron in order to have equal net forces around the statue.

Lodestones led to a magnetic compass.

Lodestone is a form of magnetite that exhibits distinctive magnetic qualities. This quality led to the use of lodestones as an early form of compass, as they could be used to show the way north.

As is often the case with scientific phenomena that are difficult to explain, gemstones have historically been associated with magical or alchemical events, and many people who practice magic use gemstones in their work. Magnets and objects with magnetic qualities continue to be popular in alternative medicine and magical practices.

Magnetite is a form of iron oxide. When a rock has a certain crystal structure and chemical composition, it has the potential to become a magnet. If a stone is magnetized, it will be attracted to the earth's magnetic poles, and when it is suspended in the air, it will slowly point towards the poles. It will also attract iron, as observed by the Chinese in the fourth century AD.

Seafarers used lodestones in their navigation; the Chinese seem to have been the first to discover the properties of magnetite in a navigational context.

Learn more about lodestone at https://brainly.com/question/3199122

#SPJ4

Answer:

góc phản xạ 15°

Explanatin

Answer:

The correct option is;

A. The component of the woman's weight along the hillside is larger than the kinetic friction between the woman and the ground

Explanation:

Given that the coefficient of static friction is always larger than the coefficient of kinetic friction, we have that before the wind blew, the component of the woman's weight along the hillside was lesser than the static friction between  the woman and the ground, when the wind blew the total force of the wind and the component of the woman's weight put her into motion such that the acting frictional force was then the kinetic frictional force which was lesser than the kinetic frictional force so the woman continues to slide down the hillside without the wind.

Answer:

the level on the top

Explanation:

_+$+$

The required number of photons in the laser pulse are calculated to be 1.23 × 10¹⁴ photons.

Wavelength (λ) of the laser pulse is given as = 505 nm = 5.05 × 10⁻⁹ m

Total energy of pulse is given as = 4.85 mJ

The number of photons in the laser of a given energy are to be determined.

Energy per photon (E) = hc/λ

where,

h = planck's constant = 6.626 × 10⁻³⁴ Js

C = speed of light = 3 × 10⁸ m/s

λ = wavelength

E = (6.626 × 10⁻³⁴× 3 × 10⁸) /(5.05 × 10⁻⁹) = 3.94 × 10⁻¹⁷ J

Now, number of photons = total energy/energy per photon

⇒ (4.85 × 10⁻³ × 1 photon) / (3.94 × 10⁻¹⁷) J = 1.23 × 10¹⁴ photons

Thus, the number of photons in the laser pulse are calculated to be 1.23 × 10¹⁴ photons.

To know more about photons:

https://brainly.com/question/11522374

#SPJ4

The statement "real gas molecules have a volume and exert attractive forces on one another." is True.

Real gas molecules possess a volume and interact with each other through attractive forces. Unlike ideal gases, which are assumed to have negligible volume and no intermolecular forces, real gases exhibit deviations from ideal behavior. The finite volume of gas molecules leads to reduced available space for their movement, causing them to occupy a larger volume compared to ideal gas predictions.

The attractive forces between gas molecules, such as van der Waals forces, can cause them to come closer together and deviate from ideal gas behavior. These intermolecular forces become more significant at high pressures and low temperatures, resulting in decreased compressibility and deviations from ideal gas laws.

To know more about molecules , refer here:

https://brainly.com/question/32298217#

#SPJ11

Answer:

A single-called organism must perform all cellular functions on its own

Explanation:

i took the test

Answer: space probe

Explanation: Kracc Bacc Amogus big fat sussy baka burger amogus Among Us big sussy big mac sussy sus Amogus Among us big fat sussy baka burger fard big huge mega Big sussy Among US

Space telescope can  observe electromagnetic radiation and avoid light pollution to allow for exploration beyond our solar system.

A telescope in space used to observe celestial objects is known as a space telescope or space observatory.

Space telescopes do not experience the light pollution that ground-based observatories do, nor do they experience the filtering and distortion (scintillation) of the electromagnetic radiation they detect. The two main categories of satellites are those that map the entire sky (astronomical surveys) and those that concentrate on certain astronomical objects or regions of the sky and beyond.

Space telescopes are separate from Earth imaging satellites, which are used for weather analysis, espionage, and other sorts of information gathering. These satellites look toward Earth for satellite imaging.

Thus, space telescope can easily overcome light pollution and can observe electromagnetic radiation which allow it exploring beyond our solar system.

Learn more about telescope here:

https://brainly.com/question/29024354

#SPJ5

Answer:

60Nm

Explanation:

Given data

Applied force= 200N

length of spanner= 30cm to meter

= 30/100= 0.3m

We know that the formula for the moment is

P=Fl

that is

P= force * length

P= 200*0.3

P= 60Nm

Hence the moment is 60Nm

Answer:

Electric force, \(F=2.24\times 10^{-14}\ N\)

Explanation:

It is given that,

Charge on an electron is \(-1.6\times 10^{-19}\ C\)

Electric field, \(E=1.4\times 10^5\ N/m\)

We need to find the magnitude of the electric force on this electron due to this field. The electric force is given by :

\(F=qE\\\\F=1.6\times 10^{-19}\times 1.4\times 10^5\\\\F=2.24\times 10^{-14}\ N\)

So, the electric force is \(2.24\times 10^{-14}\ N\).

Answer:

104 highest and 96 the lowest

Explanation:

it has an uncertainness of 4%Meaning 104%on the highest and 96 on the lowest

Answer:

Explanation:

R₁ = 22 Ω

R₂ = 4.5 Ω

U = 45  V

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 V

U₂ = I₂·R₂ = 1.7·4.5 ≈ 8 V

Power:

P₁ = U₁·I₁ = 37·1.7 ≈ 63 W

P₂ = U₂·I₂ = 8·1.7 ≈ 14 W

P = U·I = 45·1.7 ≈ 77 W

Answer: \(2.7*10^{-2} km/h\)

Explanation:

First you need to know the units that your quantity has. Velocity is given in length divided by time. So to transform from m/day to km/h we need to convert separately length from m to km and time from day to h. For length we have:

1km -------- 1000m

x ------------ 64m

x = 64/1000 = 64*\(10^{-3}\) km

Next we convert the time:

1 day = 24h

And now we just make the proper substitution:

\(64\frac{m}{day} = \frac{64m}{1 day} = \frac{64*10^{-3} km}{24 h} = \frac{64*10^{-3}}{24} \frac{km}{h} = 2.7*10^{-2} km/h\)

Note that our result has two significant figures (2.7) since 10 to -2 does not count as significant figures.

Answer:

Because Jupiter is a much larger planet than Earth, its gravitational pull is 240% stronger than that of earth. This is why sawdust, which is lighter than its equivalent measure of sugar would weigh more on Jupiter.

Explanation:

Let's assume that a type of bag can contain 50 kilograms of sugar. If that same bag was filled up with sawdust instead, it would weigh far less than 50Kg.

If that bag of sawdust, on earth weighed 35Kg for instance, on Jupiter, the new weight would be:

35Kg x 2.4 = 84Kg

Put differently, Jupiter simply has a stronger gravitational pull than earth. This extra pull is attributed to its size.

Cheers

A sinusoidal function is a function based on the sine function.

The maximum depth of the water at the place, is 6.0 meters.

Reason:

The known parameters are;

The average depth of water at a place, \(d_{ave}\) = 5.0

The largest tidal range in the place, R = 2.0 m.

Required;

To calculate the maximum depth of water at the given place.

Solution:

The tidal range is the consecutive difference between highs and lows of

the tides, which is a sinusoidal motion.

Therefore, the tidal range is twice the amplitude of the tide level.

The amplitude of the tide, a = \(\dfrac{2.0}{2}\) m = 1 m

The maximum depth of water at the place, \(d_{max}\) = a + \(d_{ave}\)

∴ \(d_{max}\) = 1.0 + 5.0 = 6.0

The maximum depth, \(d_{max}\) = 6.0 meters

Learn more about sinusoidal functions here:

https://brainly.com/question/16300816

The actual things we are seeing if we see the bright flash of a meteor are a pea-sized particle and the surrounding air as the particle burns up in our atmosphere.

A meteor is a space rock that enters the atmosphere of the earth and produces a streak of light in the sky. Sometimes, people refer to them as shooting stars. When meteoroids enter the earth's atmosphere, they become meteors.

The night sky can be illuminated by meteors, also known as shooting stars, which are bits of space dust and debris that burn up in the Earth's atmosphere.

A pea-sized particle burns up in our atmosphere, and the surrounding air In other words, you do not see the particle itself, but only the effects it has on the surrounding air as it burns up.

Thus, we are seeing burned particles or dust when we see meteors.

To know more about meteors:

https://brainly.com/question/11504264

#SPJ12

Answer:

  1.343 atm

Explanation:

The mass of water above 1 square meter of swimming pool bottom is ...

  M = (3.5 m)·(1000 kg/m^3) = 3500 kg/m^2

Then the force exerted by the water on the pool bottom is ...

  F = Mg = (3500 kg/m^2)(9.8 m/s^2) = 34300 N/m^2 = 34300 Pa

Compared with atmospheric pressure, this is ...

  34,300/10^5 = 0.343 . . . . atmospheres

Added to the atmospheric pressure on the water's surface, the total pressure on the pool bottom is 1.343 atmospheres.

Answer:

hryrbrhrururjrn djbrr he dvhd the ry rhr

urur

Explanation:

jrurhr dye dhrb the yd rhd due sh dgd eye rh

Answer:

I dont know i was looking for the same answer for my project

Explanation:

All bulbs in the circuit go out happen to the bulb if we had one cell and one light bulb in a series circuit.

A series circuit consists of a channel via each component where the entire current flows. In a parallel circuit, the branches divide the current so that only a portion of it passes through each branch.

A circuit is referred to as a series circuit when all of the devices are linked in series. Each component of a series circuit is connected in such a way that only one channel for charge to travel via the external circuit is possible.

"A circuit with the components arranged in a straight line, so that all the current goes through each component in turn," is the definition of a simple series circuit.

To learn more about series circuit please visit
https://brainly.com/question/11409042
#SPJ4

A carburetor backfire flame arrestor is essential safety component for internal combustion engines, it prevents ignition of fuel vapors during backfire, protecting both engine and nearby individuals.

A carburetor backfire flame arrestor is a crucial safety component in internal combustion engines. Its primary function is to prevent the ignition of fuel vapors that may be emitted during a backfire, thus avoiding potential damage to the engine or harm to those nearby. This device essentially acts as a barrier between the carburetor and the air intake, allowing air to flow through while extinguishing any flames caused by a backfire. There are several key features of a carburetor backfire flame arrestor. First, it's designed to have a large surface area, typically constructed with metal mesh or perforated metal plates. This allows the arrestor to dissipate heat quickly, which is vital for extinguishing flames. Second, it should be regularly inspected and cleaned to maintain its effectiveness, as accumulated dirt and debris can reduce airflow and hinder its ability to prevent fires.

It is critical to ensure proper maintenance of this device to guarantee its optimal functioning. The first step of a four-stroke engine is intake. When the engine's intake valve opens, the piston draws the fuel-air combination into the cylinder by exerting downwardly directed negative pressure. In order to prepare the air-fuel mixture for the power stroke's ignition of fuel the piston compresses it. The piston begins its second rotation during combustion. High compression causes the spark plug to ignite the compressed air and fuel mixture. By turning the crankshaft during this stroke, the engine generates mechanical work. An engine exit is the exhaust. A number of gases, including greenhouse gases, are released by the stroke engine. The stroke engine has a high efficiency.

Learn more about ignition of fuel  here

https://brainly.com/question/27682487

#SPJ11

A decibel is a dimensionless unit to express physical intensity or sound pressure levels.

A decibel is a dimensionless unit to express physical intensity or sound pressure levels. The decibel, in turn, measures the power of the sound, its energy, and the stronger or weaker it is emitted. Measures the volume of the sound.  It is a logarithmic scale that quantifies the relative loudness or softness of a sound compared to a reference level. The decibel scale is based on powers of 10, where an increase of 10 dB represents a tenfold increase in sound intensity. The reference level for the decibel scale varies depending on the context. In the field of acoustics, the commonly used reference level is 0 dB, which corresponds to the threshold of human hearing. Positive decibel values indicate increasing sound levels, while negative values indicate decreasing sound levels or the absence of sound.

To learn more about Decibel click here

https://brainly.com/question/13047838

#SPJ11

Answer:

condensation, the process of changing from a gas to a liquid