A car moving on a straight level road changes its speed from 3.5m/s to 4.5m/s in 5.00 seconds. Find it’s acceleration

The time taken for temperature to fall from  45°C to 35°C is 6.21 minutes when a liquid cools from 65°C to 55°C in 5 mins.

We can utilize Newton's Law of Cooling to tackle this issue. It expresses that the pace of progress of temperature of an article is corresponding to the distinction in temperature between the item and its environmental elements.

Utilizing this regulation, we can compose:

(dT/dt) = - k(T - Ts)

where dT/dt is the pace of progress of temperature, k is the cooling steady, T is the temperature of the fluid, and Ts is the temperature of the environmental elements.

To begin with, how about we track down the cooling steady. From the given data, we know that the fluid cools from 65°C to 55°C in 5 mins. Subsequently, we can compose:

-10 = - k(65 - 35)

k = 0.5

Presently, we can utilize this worth of k to make the opportunity taken for temperature to decrease from 45°C to 35°C. We want to tackle:

(dT/dt) = - 0.5(T - 35)

with introductory condition T(0) = 45.

Isolating factors and coordinating the two sides, we get:

ln|T - 35| = - 0.5t + C

Utilizing the underlying condition T(0) = 45, we get:

ln|10| = C

C = 2.303

Subbing this worth of C, we get:

ln|T - 35| = - 0.5t + 2.303

Taking dramatic on the two sides, we get:

|T - 35| = e^(- 0.5t+2.303)

Settling for T = 35°C, we get:

t = 6.21 minutes.

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The complete question is:

A liquid cools from 65°C to 55°C in 5 mins. If the surrounding temperature is 35℃, calculate the time taken for temperature to fall from 45°C to 35°C.

Answer:

work is done on the air in the cylinder

Explanation:

when using air pump to compress air in a cylinder; Work is done on the air in the cylinder and its surroundings

work done = F* d

                  = Magnitude of force * displacement

This is what happens when an air pump is used to compress air into a cylinder

Hi there!

We can use the work-energy theorem to solve.

Recall that:

\(\large\boxed{W = \Delta KE = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_i^2}\)

The initial kinetic energy is 0 J because the crate begins from rest, so we can plug in the given values for mass and final velocity:

\(W = \frac{1}{2}(50)(5.61^2) = 786.8025 J\)

Now, we can define work:

\(\large\boxed{W = Fdcos\theta}}\)

Now, plug in the values:

\(786.8025 = Fdcos\theta\\\\786.8025 = (375)(3.07)cos\theta\)

Solve for theta:

\(cos\theta = .6834\\\theta = cos^{-1}(.6834) = \boxed{46.887^o}\)

The first stage of the creative performance behavior process is preparation. During this stage, an individual gathers information, researches, and reflects on the task at hand. It involves identifying the problem or goal, understanding the scope of the project, and considering possible solutions.

This stage is essential as it sets the foundation for the subsequent stages of the creative process.

Preparation is critical in any creative performance as it helps to clarify the objectives and goals of the performance. It also allows for the development of a clear plan for the performance. This stage involves the collection of data, analysis, brainstorming, and outlining the steps needed to reach the desired outcome.

Overall, preparation sets the stage for the subsequent stages of the creative performance behavior process, including incubation, illumination, and verification. It provides a solid foundation for the creative process and ensures that the final performance meets or exceeds expectations.

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Answer:

An invisible force that pulls objects toward each other. Earth's gravity is what keeps you on the ground and what makes things fall. ... Gravity also gets weaker with distance. So, the closer objects are to each other, the stronger their gravitational pull is. Earth's gravity comes from all its mass.

Explanation:

thx for the points :)

Answer:

gravity is the force that attracts a body toward the center of the earth or toward any other physical body having mass.

Explanation:

Since the calculated phase angle is negative, the voltage lags behind the current. This indicates that the circuit is predominantly capacitive.

The phase angle of the circuit can be calculated using the formula:

tanφ = (Xl - Xc) / R

where Xl is the inductive reactance and Xc is the capacitive reactance.

Xl = ωL = 2πfL = 2π(60)(0.0940) = 35.35 Ω

Xc = 1 / (ωC) = 1 / [2π(60)(35.5 × 10^-6)] = 75.45 Ω

Substituting the values into the formula, we get:

tanφ = (35.35 - 75.45) / 15.0 = -2.67

Taking the arctangent of both sides gives:

φ = -68.9 degrees

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Given terms :

As we know, Distance covered is equal to :

Therefore, the angle between the emergent ray and incident ray is approximately 19.47°.

We know that μ = sin i / sin r

where μ is the refractive index, i is the angle of incidence, and r is the angle of refraction.

The angle between the incident ray and the emergent ray is the angle of refraction.

The formula for calculating the angle of refraction is given as sin r = μair / μglass sin i

= sin i / 1.5

The angle between the emergent ray and incident ray can be calculated as shown below;

sin r = μair / μglass sin i

Sin r = 1 / 1.5 sin i

Sin r = 0.6667 sin i (radians)

If the angle of incidence is 30°, the angle between the emergent ray and incident ray can be calculated as follows;

Sin r = 0.6667

sin 30°Sin

r = 0.3333

r = sin-1(0.3333)

r = 19.47°

In optics, the incident ray is a straight line that corresponds to the direction of the light before it meets an interface. The angle between the incident ray and the normal is referred to as the angle of incidence. When a light ray passes from a denser medium to a less dense medium, the angle of incidence is greater than the angle of refraction, causing the light ray to bend away from the normal.The angle between the refracted ray and the normal is referred to as the angle of refraction. When a light ray passes from a less dense medium to a denser medium, the angle of incidence is less than the angle of refraction, causing the light ray to bend towards the normal.

The incident ray is always perpendicular to the normal as it hits the surface of the medium. This implies that the angle of incidence is zero. The angle between the emergent ray and the incident ray is called the angle of refraction. The angle of refraction is equal to the angle between the emergent ray and the normal, which is the line that is perpendicular to the boundary between the two media.

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According to the information, we can infer that the correct sentence is: A mosquito flying with a velocity of 5 m/s (option C).

Momentum is a term that refers to a physical property of moving objects. Momentum is a measure of the amount of motion a moving object has and is related to the mass and velocity of the object.

Based on the above, we can infer that the correct option is correct because the fly would have more momentum than the other objects because its mass is less W

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The momentum of the probe after the retrorocket ceases to fire is 9.9 * 10^7 Kg m/s

We know that the momentum of an object has to do with the product of the mass and the velocity of an object. The momentum of an object is a vector quantity and the direction of the momentum is the direction of the velocity of the object that is in motion.

According to the Newton second law of motion, we know that the rate of change of the momentum is equal to the impressed force that is acting on the body.

We know that;

\(F_{t}\) = \(p_{f}\) -\(p_{i}\)

F = force

t = time taken

\(p_{f}\)= final velocity

\(p_{i}\) = initial velocity

\(p_{f}\) = \(F_{t}\)  + -\(p_{i}\)

\(p_{f}\) = (2.0 * 10^6 * 12 s) + 7.5 * 10^7

\(p_{f}\)  = 2.4 * 10^7 + 7.5 * 10^7

\(p_{f}\)  = 9.9 * 10^7 Kg m/s

Hence, the momentum of the retrorocket is 9.9 * 10^7 Kg m/s.

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Missing parts;

A  space probe is traveling in outer space with a momentum that has a magnitude of  7.5 * 10^7 kgm/s. A retrorocket is fired to slow down the probe. It applies a force to the probe that has a magnitude of 2.0  * 10^6 N and a direction opposite to the probe's motion. It fires for a period of 12 s. Determine the momentum of the probe after the retrorocket ceases fire.

Answer:

sequence

Explanation:

sequences are the way in which things are ordered, for example: 1, 2, 3, 4 is a sequence:)

In a fire piston, the temperature of the gas inside the piston increases due to adiabatic compression.

In physics, pressure is a measure of the force per unit area that a fluid (liquid or gas) exerts on its surroundings. It is defined as the force F acting perpendicular to a surface divided by the area A over which the force is distributed: pressure = F/A. The SI unit of pressure is the Pascal (Pa), which is defined as one Newton per square meter (N/m²). Other common units of pressure include pounds per square inch (psi), atmospheres (atm), and bar (bar). Pressure is an important concept in many areas of physics, including fluid mechanics, thermodynamics, and atmospheric science. It describes the behavior of fluids in pipes and channels, the operation of hydraulic systems, and the behavior of gases in sealed containers. The pressure of a fluid is related to its density and temperature, and can be influenced by factors such as gravity, elevation, and the motion of the fluid itself.

Here,

When the piston is rapidly pushed down into the cylinder, it compresses the gas inside the cylinder. This rapid compression causes the gas molecules to collide with each other more frequently and with greater force, which in turn increases the temperature of the gas.

Because the compression is adiabatic (i.e., no heat is allowed to enter or leave the system), the increase in temperature is due solely to the work done on the gas by the piston. This increase in temperature is known as adiabatic heating.

The fire piston is a simple but effective tool for starting a fire in the wilderness, and it demonstrates the principles of adiabatic compression and the relationship between pressure, volume, and temperature in a gas.

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Answer:

large

Explanation:

A mixture can be classified as a solution, a suspension, or a colloid based on the size of its large particles.

Hope it helps!

Answer:

c 0.10

Explanation:

V=IR

12.0V=I x 120.12ohms

I=0.099

I= 0.10

When Laser shines on screen being passed through two closely spaced slits we see interference.

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Answer:

A liquid is a nearly incompressible fluid that conforms to the shape of its container but retains a (nearly) constant volume independent of pressure. A liquid is made up of tiny vibrating particles of matter, such as atoms, held together by intermolecular bonds.

Answer:

Explanation:

The only word I can think of is confirm.

I choose confirm because they have already used empirical evidence (evidence that is primarily found by the senses. We hear something, we see something, We smell something -- although this is rather rare. Probably we would hear or see something first). We've used logical thinking, and we've likely even performed experiments.

So we've done all the ground work. All of these things are needed to confirm a scientific thought or premise that has been proposed. All of them aim at confirming what  we proposed.

The smaller piston must be pushed down by a distance of 0.305 meters, or 30.5 cm, to raise the larger piston by 15 cm in a hydraulic lift.

We can use the principle of the conservation of fluid volume in a hydraulic system to solve this problem.

According to this principle, the volume of fluid flowing into one end of the system must be equal to the volume of fluid flowing out of the other end. In this case, we can write:

\(A_1\times h_1 = A_2 \times h_2\)

where \(A_1\) and \(A_2\) are the areas of the two pistons, \(h_1\) is the distance the smaller piston is pushed down, and \(h_2\) is the distance the larger piston is raised.

We are given the diameter of the smaller piston, so we can calculate its area as:

\(A_1 = \pi \times r_1^2\)

where \(r_1\) is the radius of the smaller piston.

We know the diameter of the smaller piston is 2.0 cm, so its radius is:

\(r_1\) = 1.0 cm = 0.01 m

Therefore,

\(A_1 = \pi \times (0.01 m)^2 = 3.14 \times 10^{-4} m^2\)

We are also given the diameter of the larger piston, so we can calculate its area as:

\(A_2 = \pi \times r_2^2\)

where \(r_2\) is the radius of the larger piston.

We know the diameter of the larger piston is 9.0 cm, so its radius is:

\(r_2\) = 4.5 cm = 0.045 m

Therefore,

\(A_2 = \pi \times (0.045 m)^2 = 6.36 \times 10^{-3} m^2\)

Finally, we are given the distance the larger piston is raised, so we can substitute the known values into the equation above and solve for \(h_1\):

\(A_1 \times h_1 = A_2 \times h_2\)

\(h_1 = (A_2 \times h_2) / A_1\)

\(h_1\) = \((6.36 \times 10^{-3} m^2 \times 0.15 m) / 3.14 \times 10^{-4} m^2\)

\(h_1\) = 0.305 m

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The total energy stored in the spring at the new stretched length is 2.25 Joules.

The potential energy stored in a spring is given by the formula:

U = (1/2) k x²

where U is the potential energy, k is the spring constant, and x is the displacement from the equilibrium position. Initially, the spring was stretched by 5.0 cm, so its displacement from the equilibrium position is x = 0.05 m + 0.05 m = 0.10 m.

The force applied to stretch the spring is given by Hooke's law, F = kx, where F is the force applied, k is the spring constant, and x is the displacement from the equilibrium position. The force applied to stretch the spring by an additional 5.0 cm is,

F = kx = (200 N/m)(0.05 m) = 10 N

The total displacement of the spring is now x = 0.10 m + 0.05 m = 0.15 m. The total potential energy stored in the spring is:

U = (1/2) k x² = (1/2)(200 N/m)(0.15 m)² = 2.25 J

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A) The number of circular wave fronts that will fit in the sink will depend on the size of the sink. If the sink is 1 meter wide, then the circumference of the sink is approximately 3.14 meters.

A wave is a disturbance that propagates through space or some material medium, such as air or water, with or without an accompanying transfer of energy. In physics, a wave is an oscillation accompanied by a transfer of energy that travels through a medium or space.

Each wave front travels at a speed of 20 cm/s, it will take approximately 3.14 seconds for a wave front to travel around the entire sink once. Therefore, the number of wave fronts that will fit in the sink will be 1.5/3.14, or 0.48 wave fronts.

b) To calculate the energy delivered to the edge of the sink, we must first calculate the kinetic energy of the drop. The kinetic energy of the drop is equal to \(0.5 \times mass \times velocity^2\), or  \(0.5 \times mass \times velocity^2\) = 2J Since the energy of each drop is conserved in the wave it creates, each drop will deliver 2 J of energy to the edge of the sink.

c) The power provided by the leaky faucet is equal to the total energy of the drop divided by the time it takes for the drop to reach the edge of the sink:\(2 J/1.5 s = 1.33 W.\)

d) The power delivered per meter of the sink's circumference is equal to the total power provided by the faucet divided by the circumference of the sink: \(1.33 W/3.14 m = 0.424 W/m.\)

e) The power of the leaky faucet with a 5 meter diameter sink is 6.7 W, and the power per meter circumference is 1.34 W/m. The power has increased by a factor of 5, and the power per meter circumference has increased by a factor of 3.2.

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The static friction is 11N and kinetic friction is 8N  between a block of wood and a laboratory bench.

Static friction is a force opposing relative movement and it happens at the connection point between the bodies, yet additionally inside the bodies, as in the event of liquids. The idea of friction coefficient was first formed by Leonardo da Vinci. The extent of the coefficient of still up in the air by the properties of the surfaces, environmental elements, surface highlights, presence of the oil, and so on.

Kinetic friction is characterized as a force that demonstrations between moving surfaces. A body continuing on a superficial level encounters a force the other way of its development. The extent of the force will rely upon the coefficient of motor grinding between the two materials.

We know that static friction is the maximum force applied by the body,so here 11N is the maximum force,so static friction value will be 11N and kinetic friction value will be 8N.

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The other person is approximately 10 times closer to the fire truck than you are, which means they are about 5280/10 = 528 feet away from the truck.

The intensity of sound waves decreases as the distance from the source increases. This relationship is known as the inverse-square law, which states that the intensity of a sound wave is inversely proportional to the square of the distance from the source. In this scenario, if you are 1 mile away and hear the fire truck with a certain intensity, and another person hears the same fire truck with an intensity that is 10 times less, then the other person is approximately 3.16 miles away from the fire truck. This can be determined by using the inverse-square law and setting up an equation to solve for the unknown distance.

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Answer:

Sonic boom.

When something breaks the sound barrier. (Moves faster than sound, like lighting)

Explanation:

Try flying a plane.

Firstly, we can write the equation for the electric force. It is:

By applying our values we get

Now, if we remind ourselves of Newton's law, we know that

We know the mass, and we know the Force, so we can find out the acceleration, this gives us:

Thus

Our final acceleration is 0.122 m/s^2

Answer:

Explanation:

Total Mass: 48+25=73 kg

Height: 15m

So work = mgh= 73×9.8× 15=10731 j

And this is positive work.

The magnitude of the integral for the circular path of radius r/2 is, |Γ| = μ0 r²/8 (εA/t²).

The integral mentioned in the question refers to the circulation of the electric field around the circular path of radius r/2, which is given by:

Γ = ∮ E ⋅ dℓ

where E is the electric field, and dℓ is an infinitesimal vector element along the path.

Since the capacitor is being charged, there is a time-varying electric field between the plates. According to Faraday's law, a changing electric field induces a magnetic field, which in turn induces a circulation of the electric field. This is known as electromagnetic induction.

The magnitude of the integral for the circular path of radius r/2 can be calculated using Faraday's law:

Γ = - dΦ/dt

where Φ is the magnetic flux through the circular path. The negative sign indicates that the circulation of the electric field is induced by the changing magnetic field.

To calculate the magnetic flux, we can use the formula for the magnetic field inside a circular capacitor:

B = μ0 i/(2πr)

where μ0 is the vacuum permeability, i is the current flowing into the capacitor, and r is the radius of the circular plates.

The magnetic flux through the circular path of radius r/2 is given by:

Φ = Bπ(r/2)² = μ0 i r²/8

Taking the time derivative, we get:

dΦ/dt = μ0 r²/8 d/dt (i)

Since the current i is flowing into the capacitor at the instant in question, we can assume that it is increasing linearly with time:

i = (Q/t) = (εA/t)

where Q is the charge on the plates, ε is the permittivity of the medium between the plates, A is the area of the plates, and t is the time.

Substituting this expression for i into the equation for dΦ/dt, we get:

dΦ/dt = μ0 r²/8 (εA/t²)

Therefore, the magnitude of the integral for the circular path of radius r/2 is, |Γ| = μ0 r²/8 (εA/t²).

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The function that is undefined when theta=pi/2 radians is the tangent function. To give a long answer and explain this, we need to understand the properties of the tangent function.

The tangent function is defined as the ratio of the opposite side to the adjacent side of a right triangle. When the angle theta is pi/2 radians, this means that the triangle is a 90-degree angle, and the adjacent side is equal to zero. Since division by zero is undefined, the tangent function is undefined at pi/2 radians.

The function that is undefined when theta = pi/2 radians is the tangent function, represented as tan(theta). This is because tan(theta) is equal to sin(theta)/cos(theta), and at pi/2 radians, cos(theta) equals zero. Since division by zero is undefined, the tangent function is undefined at theta = pi/2 radians.

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