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Answer:

The final equilibrium temperature of the tin-water mixture is approximately 18.468 °C

Explanation:

The parameters of heat energy transfer from the tin to the water are given as follows;

The mass of the sample of tin, m₁ = 0.225 kg

The initial temperature of the tin, T₁ = 97.5 °C

The mass of the water into which the tin is dropped, m₂ = 0.115 kg

The initial temperature of the water, T₂ = 10.0 °C

The specific heat capacity of tin, c₁ = 230 J/(kg·°C)

The specific heat capacity of water, c₂ = 4,200 J/(kg·°C)

Let 'T' represent the final equilibrium temperature of the tin-water mixture, we have;

The heat lost by the tin, ΔQ[tex]_{tin}[/tex] = The heat gained by the water ΔQ[tex]_{water}[/tex]

∴  ΔQ[tex]_{tin}[/tex] = ΔQ[tex]_{water}[/tex]

Where;

ΔQ[tex]_{tin}[/tex] = m₁·c₁·(T₁ - T)

ΔQ[tex]_{water}[/tex] = m₂·c₂·(T - T₂)

By substitution, we have;

ΔQ[tex]_{tin}[/tex] = 0.225 kg × 230 J/(kg·°C) × (97.5°C - T)

ΔQ[tex]_{water}[/tex] = 0.115 kg × 4,200 J/(kg·°C) × (T - 10.0°C)

From ΔQ[tex]_{tin}[/tex] = ΔQ[tex]_{water}[/tex], we have;

0.225 kg × 230 J/(kg·°C) × (97.5°C - T) = 0.115 kg × 4,200 J/(kg·°C) × (T - 10.0°C)

∴ 5,045.625 J - 51.75 J/°C × T = 483 J/°C × T - 4,830 J

5,045.625 J + 4,830 J = 534.75 J/°C × T

∴ 534.75 J/°C × T = 9,875.625 J

T =  9,875.625 J/(534.75 J/°C) = 18.4677419 °C ≈ 18.468 °C

The final equilibrium temperature of the tin-water mixture, T ≈ 18.468 °C.

The correct option is (d).

Angle should be 180° between the direction of force and the direction of motion of a body as work done is equal to force multiplied by displacement multiplied by cosx.

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empty space or vaccum the Electro magnetic wave travels the fastest.

Answer:false

Explanation:

Answer:

The mechanical advantage increases as the slope of the incline decreases. But the load will then have to be moved a greater distance. The ideal mechanical advantage (IMA) of an inclined plane is the length of the incline divided by the vertical rise, the so-called run-to-rise ratio.

Explanation:

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Answer:

Pressure = 3000N/m²

Explanation:

Given the following data;

Force = 15N

Area = 0.5cm² to meters = 0.5/100 = 0.005m²

To find the pressure;

Pressure = Force/area

Substituting into the equation, we have:

Pressure = 15/0.005

Pressure = 3000N/m²

Answer:

the time taken for the motion is 3.37 s

Explanation:

Given;

initial velocity of the skydiver, u = 0

final velocity of the skydiver, v = 33 m/s

The time taken for the motion is calculated as;

v = u + gt

33 = 0 + 9.8t

33 = 9.8t

t = 33 / 9.8

t = 3.37 s

Therefore, the time taken for the motion is 3.37 s

Answer:

materials that allow many electrons to flow freely are caused conductors such as copper, silver, aluminum, hydrochloric solution, sulfuric acid, and salt water. in contrast materials which allow few electrons to flow are called insulators such as plastic, rubber, glass, and dried paper.

Explanation:

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Answer:

[tex]R = 1.5* 10^{-10}m[/tex]

Explanation:

Given

[tex]r = 2.5 * 10^{-11}m[/tex] -- radius of hydrogen atom

See attachment

Required

Determine the radius of magnesium atom (R)

From the attachment, the ratio of a hydrogen atom to a magnesium atom is:

[tex]Ratio = 6mm : 36mm[/tex]

Simplify

[tex]Ratio =1 : 6[/tex]

Represent the radius as ratio:

[tex]Ratio = r : R[/tex]

Substitute [tex]r = 2.5 * 10^{-11}m[/tex]

[tex]Ratio = 2.5 * 10^{-11}m : R[/tex]

Equate both ratios

[tex]2.5 * 10^{-11}m : R = 1 : 6[/tex]

Express as fraction

[tex]\frac{2.5 * 10^{-11}m}{R} = \frac{1}{6}[/tex]

Cross Multiply

[tex]R * 1 = 2.5 * 10^{-11}m * 6[/tex]

[tex]R * 1 = 2.5 * 6* 10^{-11}m[/tex]

[tex]R * 1 = 15* 10^{-11}m[/tex]

[tex]R = 15* 10^{-11}m[/tex]

[tex]R = 1.5*10* 10^{-11}m[/tex]

[tex]R = 1.5* 10^{1-11}m[/tex]

[tex]R = 1.5* 10^{-10}m[/tex]

Hence, the radius of the magnesium atom is: [tex]1.5* 10^{-10}m[/tex]

Answer:

soil

Explanation:

CORRECT

Answer:

soil

Explanation:

Hope this will help

Answer: The number of complete wavelengths in a given unit of time is called frequency (f). As a wavelength increases in size, its frequency and energy (E) decrease. From these equations you may realize that as the frequency increases, the wavelength gets shorter. As the frequency decreases, the wavelength gets longer.

Explanation:

Answer:a

Explanation:because I know

Answer:

B & C

Explanation:

the first block will not move

Answer:

50N

Explanation:

Impulse = Force × Time

25 = Force × 0.5

Force = 25/0.5

= 50N

Answer:

22 m

Explanation:

Answer:

cliff height = 10.55 m

Explanation:

Remarks

Solution

Time

So the time taken is d = r * t  

Remember, this formula can only be used when there is no acceleration.

d = 22 meters

r = 15 m/s

t = ?

t = d / r

t = 22 / 15

t = 1.467

Height of the Cliff

vi = 0 (vertially)

a = 9.8 m/s^2

t = 1.467 seconds    The time horizontally and vertically is the same.

d = ?

Formula

d = vi*t + 1/2 a t^2

Solution

d = 0 + 1/2 * 9.8 * 1.467^2

d = 10.55 meters.

Answer:

Chemical weathering

Explanation:

This changes the molecular structure of rocks and soil. For instance, carbon dioxide from the air or soil sometimes combines with water in a process called carbonation. This produces a weak acid, called carbonic acid, that can dissolve rock.

187.92 years

8*10^-2= .08

1.88*10^2= 188

188-.08=187.92

Answer:

[tex]V=1.76\times 10^{-4}\ V[/tex]

Explanation:

Given that,

The diameter of a wire, d = 1.628 mm

Radius, r = 0.814  mm = 0.000814m

Current, I = 12.5 mA

The length of the wire, l = 2m

The resistivity of the wire, [tex]\rho=1.47\times 10^{-8}\ \Omega-m[/tex]

We need to find the potential difference across the wire. We know that the resistance of the wire is given by :

[tex]R=\rho\dfrac{l}{A}[/tex]

Also, V = IR

[tex]\dfrac{V}{I}=\rho\dfrac{l}{A}\\\\V=\dfrac{\rho l I}{A}\\\\V=\dfrac{1.47\times 10^{-8}\times 2\times 12.5\times 10^{-3}}{\pi \times (0.000814)^2}\\\\V=1.76\times 10^{-4}\ V[/tex]

So, the potential difference of the wire is [tex]1.76\times 10^{-4}\ V[/tex].

Answer:3 m/s

Explanation:

The resulting acceleration to move the 5Kg box is equal to 3m/s². Therefore, option (D) s correct.

Acceleration can be defined as the rate of change in the velocity of an object with respect to time. The acceleration of an object is a vector parameter with both magnitude and direction. Acceleration is also defined as the first derivative of the velocity w.r.t. time and the second derivative of position w.r.t. time and

According to Newton's 2nd law of motion, the force is equal to the product of the mass (m) and acceleration.

F = ma

And,   a = F/m

Therefore, the acceleration (a) inversely proportional to the mass (m).

Given, the force used to move the box, F = 15 N

The mass of the given Box, m = 5 Kg

The resulting acceleration, a  = 15/5 = 3 m/s²

Therefore, the acceleration of the box is equal to  3 m/s² when it is pushed with a force of 15 N.

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Answer:

The third shell would be empty, so the eight electrons on the second level would be the outermost after the atom lost one electron

Explanation:

When an atom is bonded with other atoms, a more stable configuration must be reached, which is why the energy of the molecule is less than the energy of the individual atoms, for this to happen in general, electrons are shared or lost and gained in each atom, depending on the electronegative of the same.

If we analyze an atom within the molecule, its last shell is full, in the case of atoms with few electrons in this shell, they are lost and in the case of many electors in this shell, it gains electrons to have eight (8) in total.

When reviewing the different answers, the correct one is:

* The third shell would be empty, so the eight electrons on the second level would be the outermost after the atom lost one electron

Answer: It’s B

Explanation:

Answer:

Answer: D- Each chromosome in a cell is made up of two chromatids, which are each made up of molecules of DNA

Explanation:

A macromolecule is a large molecule that is made of many smaller units. Chromosomes are macromolecules that contain all of the genetic information in a cell. Chromosomes are each made of two smaller units called chromatids. Chromatids are each made up of molecules of DNA. Therefore, the correct description of the hierarchy of genetic material in a cell is that each chromosome in a cell is made up of two chromatids, which are each made up of molecules of DNA. The structures become more and more microscopic as one moves down the hierarchy.

Answer:

its basically our universe

Explanation:

:) hope this helps

Answer:

30 kg·[tex]\frac{m}{s}[/tex]

Explanation:

Impulse is equal to the average force multiplied by the elapsed time, or

J=[tex]F_{av}[/tex]Δt

Your average force [tex]F_{av}[/tex] is 50 newtons because it was a constant force. Your elapsed time Δt was 0.6 seconds.

Multiply these values and you get an impulse of 30 kg·[tex]\frac{m}{s}[/tex]