Find the distance between each pair of points.
6 units
5 units
2 units
4 units
3 units
E(-2, -1) and F(-2, -5)
arrowRight
C(-4, 1) and D(1, 1)
arrowRight
G(3, -5) and H(6, -5)
arrowRight
A (5, 4) and B( 5, -2)
arrowRight

Answers

Answer 1

The distances are:

- E and F: 4 units.

- C and D: 5 units.

- G and H: 3 units.

- A and B: 6 units.

Why?

We can find the distance between each pair of points using the following formula:

[tex]d(P_1,P_2)=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex]

So, calculating we have:

- E(-2, -1) and F(-2, -5):

[tex]d(E,F)=\sqrt{(-2-(-2))^{2}+(-5-(-1))^{2}}\\\\d(E,F)=\sqrt{0+(-5+1)^{2}}=\sqrt{0+(-4)^{2}}=\sqrt{16}=4units[/tex]

- C(-4, 1) and D(1, 1):

[tex]d(C,D)=\sqrt{(1-(-4))^{2}+(1-(1))^{2}}\\\\d(C,D)=\sqrt{(5)^{2}+0^{2}}=\sqrt{25+0}=\sqrt{25}=5units[/tex]

- G(3, -5) and H(6, -5):

[tex]d(G,H)=\sqrt{(6-(3))^{2}+(-5-(-5))^{2}}\\\\d(G,H)=\sqrt{(3)^{2}+0^{2}}=\sqrt{9+0}=\sqrt{9}=3units[/tex]

- A(5, 4) and B( 5, -2):

[tex]d(A,B)=\sqrt{(5-(5))^{2}+(-2-(4))^{2}}\\\\d(A,B)=\sqrt{0+(-6)^{2}}=\sqrt{0+36}=\sqrt{36}=6units[/tex]

Have a nice day!

Answer 2

Answer:

G(3, -5) and H(6, -5) ------>3 units

arrowRight

E(-2, -1) and F(-2, -5)------->4 units

arrowRight

A (5, 4) and B( 5, -2)------->6 units

arrowRight

C(-4, 1) and D(1, 1)---------->5 units

arrowRight

Explanation:


Related Questions

Find the resistance of an iPhone battery if it is a 5.0V charger at 2.1 A

Answers

Answer:

2.38Ω

Explanation:

We are given;

Voltage as 5.0 V Current as 2.1 A

We are required to calculate the resistance of the iPhone battery;

According to Ohm's law, the current through a conductor is directly proportional to the potential difference at constant temperature and pressure.That is; V = IR Rearranging the formula;

R = V/I

Therefore;

R = 5.0 V ÷ 2.1 A

  = 2.38 Ω

Thus, the resistance of the iPhone battery is 2.38Ω

For the resistance of an iPhone battery connected to a 5.0V charger at 2.1A, you can use Ohm's Law to calculate the resistance as approximately 2.38 ohms.

The resistance of a battery is determined using Ohm's Law, where resistance (R) equals voltage (V) divided by current (I). In this case, a 5.0V charger at 2.1A results in a resistance of 2.38 ohms.

when measuring the volume of a liquid using a graduated cylinder, the absolute error was 0.6 cm² and the relative error was 1.2% ,so what is the actual value of volume of the liquid?​

Answers

The actual volume of the liquid is [tex]50 cm^2[/tex]

Explanation:

When doing a measurement, there are two types of errors that we can define:

Absolute error: it is the absolute value of the error on the measurement. In this case, it is [tex]E_a = 0.6 cm^3[/tex]Relative error: it is the error expressed as a fraction of the value of the measurement. Mathematically, [tex]E_r = \frac{E_a}{V}\cdot 100[/tex], where [tex]E_a[/tex] is the absolute error, V is the measurement (the volume, in this case). In this problem, [tex]E_r = 1.2\%[/tex]

In this problem we have:

[tex]E_a=0.6 cm^2[/tex] (absolute error)

[tex]E_r = 1.2\%[/tex] (relative error)

Using the formula for the relative error, we can find the actual value of the volume of the liquid:

[tex]V=\frac{E_a}{E_r}\cdot 100 = \frac{0.6}{1.2}\cdot 100 =50 cm^3[/tex]

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what object did you choose to put on the skateboard ​

Answers

The object that I did choose to put on the skateboard ​ is a sticky ball.

Is skateboarding a form of a good exercise?

A sports scientists is said to have confirmed that skateboarding is seen to be a very goof and complete workout.

Note that  It not only functions along the cardiovascular system and it also helps to create muscular strength. The core of a skateboarder is seen as very crucial role.

The object that I did choose to put on the skateboard ​ is a sticky ball and it is one where i can measure the velocity as well as the speed taken.

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Electricity The power P, in watts, that a circular solar cell produces and radius of the cell in centimeters are related by the square root equation
[tex]r = \sqrt{ \frac{p }{0.02\pi} } [/tex]
about how much power is produced by a cell with a radius of 12 cm?​

Answers

Answer:

9.05 W

Explanation:

The given formula is [tex]r=\sqrt {\frac {P}{0.02\pi}}[/tex] where r is in centimeters and P is in Watts

Making Power, P the subject from the above formula

[tex]P=0.02\pi r^{2}[/tex]

Substituting r with 12 cm then

[tex]P=0.02\pi 12^{2}= 9.047786842  W\approx 9.05 W[/tex]

Final answer:

A cell with a radius of 12 cm produces approximately 2.88π watts of power.

Explanation:

The given equation relates the power P produced by a circular solar cell to the radius r of the cell. To find the power produced by a cell with a radius of 12 cm, you can substitute this radius value into the equation.

Using the equation r = √(p / (0.02π)), we have r = √(p / (0.02π)). Plugging in r = 12 cm, we can solve for P.

12 = √(p / (0.02π)) ⇒ [tex]12^2[/tex] = p / (0.02π),

or 144 = p / (0.02π).

Multiplying both sides of the equation by (0.02π), we get:

2.88π = p.

Therefore, a cell with a radius of 12 cm produces approximately 2.88π watts of power.

A snowball accelerates at
23.4 m/s? when a 2.87 N
force is exerted on it. What is
the mass of the snowball?
(Unit = kg)

Answers

Answer:

0. 1226495726kg

Explanation:

Force is the product of mass and acceleration.

Mathematically,

Force(F) = mass (m)×acceleration(a)

Substituting the values into the equation

2. 87=m×23. 4

2. 87=m (23. 4)

2. 87/23. 4=m (23. 4)/23. 4

2. 87/23. 4=m

0. 1226495726=m

Answer:

Answer:

0. 1226495726kg

Explanation:

Force is the product of mass and acceleration.

Mathematically,

Force(F) = mass (m)×acceleration(a)

Substituting the values into the equation

2. 87=m×23. 4

2. 87=m (23. 4)

2. 87/23. 4=m (23. 4)/23. 4

2. 87/23. 4=m

0. 1226495726=m

Explanation:

How much heat does it take to raise the temperature of 0.10kg of gold by 25°C

Answers

Answer:

322.5 joules

Explanation:

Data given;

Mass of Gold is 0.10 kg Change in temperature as 25°C

We are supposed to determine the amount of heat required.

We know that quantity of heat is given by the product of mass of a substance by its specific heat and by the change in temperature.That is, Q = mcΔT

In this case, specific heat, c of gold is 0.129 J/g/°C

Mass of gold in grams is 100 g

Therefore;

Q = 100 g × 0.129 J/g/°C × 25°C

   = 322.5 joules

Thus, the amount of heat required is 322.5 Joules

The velocity of sound in air at 300C is approximately :

Answers

The velocity of sound in at 300C is 511.3 m/s.

Explanation:

The equation that gives the speed of sound in ar as a function of the air temperature is the following:

[tex]v=(331.3+0.6T) m/s[/tex]

where

T is the temperature of the air, measured in Celsius degrees

In this problem, we want to find the speed of sound in ar for a temperature of

[tex]T=300^{\circ}C[/tex]

Substituting into the equation, we find:

[tex]v=331.3 + 0.6(300)=511.3 m/s[/tex]

So, the velocity of sound in at 300C is 511.3 m/s.

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Final answer:

The velocity of sound in air at 30°C is approximately 349 m/s, calculated using the temperature-dependent formula v = 331.4 m/s + 0.6T.

Explanation:

The velocity of sound in air increases with the rise in temperature. At 0°C, sound travels at 331 m/s, and this velocity increases by about 0.6 m/s for each degree Celsius increase in temperature. Given that the temperature is 30°C, we can calculate the speed of sound using the formula v = 331.4 m/s + 0.6T, where T is the temperature in Celsius. Plugging the value of 30°C into the formula gives us v = 331.4 m/s + (0.6 × 30), which equals approximately 349 m/s as the velocity of sound in air at 30°C.

Suppose you throw a rock off a cliff on Earth with an initial horizontal velocity of 3 m/s. Assuming minimal drag and no wind, the horizontal velocity of the rock A. increases as it falls. B. decreases as it falls. C. is 0 m/s just before it lands. D. remains constant throughout the fall.

Answers

The horizontal velocity D. remains constant throughout the fall.

Explanation:

The motion of the rock off the cliff is a projectile motion, which consists of two independent motions:

A horizontal uniform motion. Since there are no forces acting along the horizontal direction (we consider the air drag to be negligible), the acceleration along this direction is zero, so the horizontal component of the velocity is constantAn accelerated motion with constant acceleration. There is one force acting along the vertical direction, the force of gravity, which is constant so the rock experiences a constant acceleration (downward) of magnitude [tex]g=9.8 m/s^2[/tex] (acceleration of gravity). This means that the vertical component of the velocity keeps changing.

Here in this problem, we are only interested in the horizontal velocity. We said that the horizontal acceleration of the rock is zero: therefore, the horizontal velocity of the rock remains constant during the fall. (if the air drag was not negligible, then it would affect the horizontal velocity, which would decrease as the rock falls).

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Which phase of the moon is represented by position 4?

A. New moon

B. First quarter

C. Waxing gibbous

D. Waning gibbous

Answers

Answer:

Its C waxing gibbous

Explanation:

what is common between transverse waves and longitudinal waves

Answers

It travels faster at higher temperature. Longitudinal wave is a wave in which the vibration of the particles travels in the parallel direction to the propagation of wave. Therefore, the common characteristic between transverse wave and longitudinal is both move faster at higher temperature.

Transverse waves and longitudinal waves are both types of mechanical waves that propagate through a medium.

What is wavelength?

Wavelength is a fundamental property of waves, including electromagnetic waves like light and radio waves, as well as other types of waves, such as sound waves or water waves.

One commonality between transverse and longitudinal waves is that they both involve the transfer of energy through a wave. In both cases, the energy is carried by the disturbance of the medium, whether it is a series of crests and troughs in a transverse wave or a series of compressions and rarefactions in a longitudinal wave.

Another commonality is that both types of waves can exhibit properties such as reflection, refraction, diffraction, and interference. These phenomena occur as the wave interacts with boundaries, obstacles, or other waves, and they can affect the behavior and properties of the wave.

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Is the relationship between velocity and centripetal force a direct, linear or nonlinear square relationship?

Answers

Answer:

non linear square relationship

Explanation:

formula for centripetal force is given as

a = mv^2/r

here a ic centripetal acceleration , m is mass of body moving in circle of radius r and v is velocity of body . If m ,and r are constant we have

a = constant × v^2

a α v^2

hence non linear square relationship

The relationship between velocity and centripetal force is a nonlinear square relationship.

The centripetal force is given by;

F = mv^2/r

The centripetal force is the force required to keep an object moving in a circular path.

If we take the relationship between the centripetal force and velocity as we can see in the equation above, we realize that it is a nonlinear square relationship. Therefore, the relationship between velocity and centripetal force is a nonlinear square relationship.

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Define and compare the relationship between the following principles. Provide a supporting example for each
comparison

• Original Horizontality

• Original Lateral Extension

•Cross-Cutting Relationships

•Inclusion

•Uniformities

Answers

Answer:

These 5 principles can be better understood from the past events as well as from formation of the sedimentary rocks

Explanation:

Principle of original horizontal- the sedimentary rocks are found to be horizontal during the initial deposits phase. If  tilted this is due to the subsequent geological event.

Principle of original lateral continuity- The sedimentary beds are originally laterally continuous into their environment of deposition. Faulting in the severe folding and also erosion may leads to the separation of the originally lateral continuous beds which in later becomes separate units.

Principle of cross cutting- The younger features can get cuts across the older features. That's why faults,  erosion, volcanoes etc can be seen. The above mentioned are younger than those materials that is faulted intruded, or eroded.

Principle of inclusion- Inclusion itself means (a rock fragment another rock fragment) they must be older than the materials in.

Principle of uniformity-  Those are the physical process that are been seen today, were also worked in the same way in the geologic past, thus modern methods helps us to understand the ancient events.

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What helped provide support for the Plate Tectonic theory in the 1960s?

A)Shape of the continental coastlines matching up together
B)Mineral and fossil matches from tests done on different continents

Answers

Answer:

A) Shape of Continental coastlines matching up together

Explanation:

It helped provide evidence for how the plates moved. Answer B could be right, but the moving of the plates helped provide evidence as to why we were finding similar fossils on different countries so it's almost opposite

-> What is permanant induction?

Answers

Answer:

Permanent Charging. When you take a temporarily charged object and ground it, the charged object retains its charge. This is called permanent charging by induction.

The
of an object consists of its speed and direction.
a. Average speed
b. Instantaneous speed
c. Velocity
d. Displacement

Answers

Answer:

c. Velocity

Explanation:

Velocity is a measure of change of position of the body with time. Change of position means the distance traveled by the object in a given interval of time but in a particular direction.

We know that speed is given as the distance traveled over a given time interval without taking into account the direction of motion. So, the magnitude of velocity is same as its speed. Velocity, being a vector quantity, has both magnitude and direction.

Therefore, the velocity of an object consists of its speed and direction.

what is meant by the statement that the linear expansivity of copper is 0.000017/k?


help me .




oh, and uhmm;
steel bars each of length 3m at 29°c are to be used for constructing a rail line. if the linear expansivity of steel is 1.0×10⁻⁵/k. calculate the safety gap that must be kept between successive bars, if the highest temperature expected is 40°c

Answers

1) It means that the ratio [tex]\frac{\Delta L}{L}[/tex], where [tex]\Delta L[/tex] is the change in length of the material and L is the original length, change by 0.000017 units for an increase in temperature of 1 Kelvin.

2) The safety gap between two successive bars is 0.33 mm

Explanation:

1)

When a solid material is heated and its temperature increases, the material expands. The linear expansivity of the material gives a measure of how much the length of the material increases per unit temperature change.

For instance, the linear expansivity of copper is

[tex]\alpha = 0.000017/K[/tex]

which means that the ratio [tex]\frac{\Delta L}{L}[/tex], where [tex]\Delta L[/tex] is the change in length of the material and L is the original length, change by 0.000017 units for an increase in temperature of 1 Kelvin.

In formula, this can be rewritten as

[tex]\frac{\Delta L}{L} = \alpha \Delta T[/tex]

where [tex]\Delta T[/tex] is the change in temperature of the material.

2)

To solve this part of the problem, we can use the formula given in the previous part:

[tex]\frac{\Delta L}{L} = \alpha \Delta T[/tex]

Which can be rewritten as

[tex]\Delta L =L \alpha \Delta T[/tex]

where in this case, we have:

L = 3 m is the original length of the steel bar

[tex]\alpha = 1.0\cdot 10^{-5} /K[/tex] is the linear expansivity of steel

[tex]\Delta T = 40^{\circ}C-29^{\circ}C=11^{\circ}C[/tex] is the increase in temperature of the steel bar

Therefore, by solving the formula for [tex]\Delta L[/tex], we find the increase in length of the steel bars when the temperature increases to 40 degrees:

[tex]\Delta L = (3)(1.0\cdot 10^{-5})(11)=3.3\cdot 10^{-4} m = 0.33 mm[/tex]

This means that the safety gap between two successive bars must be 0.33 mm.

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What is the kinetic energy of an object that has a mass of 50 kg in a velocity of 18 m/s

Answers

Answer:

8100 J

Explanation:

KE = ½ mv²

KE = ½ (50 kg) (18 m/s)²

KE = 8100 J

2 1100 kg cars drive east; the first moving at 30 m/s the 2nd at 15 m/s what is the magnitude of the total momentum of the system​

Answers

Final answer:

The magnitude of the total momentum of the system of two cars, each with a mass of 1100 kg and moving east at 30 m/s and 15 m/s respectively, is 49500 kg·m/s east.

Explanation:

To calculate the total momentum of the system consisting of two cars driving east, you need to use the formula for momentum, which is the product of mass and velocity (p = mv). The momentum of each car is calculated separately and then added together since they are moving in the same direction (east).

For the first car with a mass of 1100 kg moving at 30 m/s, its momentum is:

p1 = m1 * v1 = 1100 kg * 30 m/s = 33000 kg·m/s.

For the second car with the same mass of 1100 kg but moving at 15 m/s, its momentum is:

p2 = m2 * v2 = 1100 kg * 15 m/s = 16500 kg·m/s.

The total momentum of the system is the sum of the momenta of both cars:

total p = p1 + p2 = 33000 kg·m/s + 16500 kg·m/s = 49500 kg·m/s.

Therefore, the magnitude of the total momentum of the system is 49500 kg·m/s to the east.

When light is reflected, the "outgoing" ray is also called the _____ ray.
A. incident
B. reflected
C. bouncing
D. electromagnetic

Answers

Answer:

When light is reflected, the "outgoing" ray is also called the reflected ray.

Explanation:

when an light ray is incident on a boundary of two mediums it an reflect or refract.

reflected ray is the part of the ray that gets back with same mediu that it was coming from. angle of reflection and incident are equal . angle of reflection and incident are the angle made by the reflected and incident ray with the normal.

total internal reflection occurs when the incident angle is greater than the critical angle of pair of given medium and when light travels from denser to rarer medium . in total internal reflection ray gets reflected with no loss at all.

in refracted ray the the light ray passes to the other medium angle of incidence and refraction are not same.

The scientific method is? (apex)
A. The method used to review conclusions

B. How scientists come up with ideas

C. The procedure scientists use to gain knowledge about the physical universe

D. The method used by scientists to measure quantities

Answers

Answer:

C. The procedure scientist use to gain knowledge about the ohysical world

Explanation:

The correct answer is C. The procedure scientists use to gain knowledge about the physical universe.

Explanation:

The scientific method is a non-linear procedure used to answer questions about specific phenomena or understand the world. This method includes a set of steps that are used to create a hypothesis and then tested it successfully. Besides this, the scientific method is applied in most areas related to science because through this scientist can explain or understand the physical universe. According to this, the scientific method can be best described as "The procedure scientists use to gain knowledge about the physical universe".

if an offspring inherits chromosome 1a,the protein for what color flower can be produce?

Answers

Answer:

Your mother can tell you that answer

Explanation:

Calculate the volume of 1280 kilograms of aluminium if the density of aluminium is 2700 kg/m³. Give your answer to 2 decimal places.

Answers

Answer:

volume = 0.47 [tex]m^{3}[/tex].

Explanation:

Density:

[tex]d = \frac{m}{v}[/tex]

We have that d = 2700 kg/[tex]m^{3}[/tex] and that we have 1280 kg of Al.

[tex]2700 = \frac{1280}{V}[/tex]

V = 0.47 [tex]m^{3}[/tex]

Answer:

The correct answer is 0.47 m³

Explanation:

The formula for density (d) is

Mass (m) ÷ volume (v)

Hence

d = m ÷ v

The density of aluminium (as provided in the question) is 2700  kg/m³ and the mass of aluminium is 1280 kg, the volume is however unknown.

Thus, from the formula earlier

2700 = 1280 ÷ v

v = 1280 ÷ 2700

v = 0.47 m³

The volume of aluminium when the density is 2700  kg/m³ and the mass is 1280 kg is 0.47 m³

Explain the arguments for and against the theory that animals have the capacity for language, like humans.
Show Me

Answers

Final answer:

The arguments for and against the theory that animals have the capacity for language, like humans, revolve around communication abilities and linguistic complexity. Some argue that animals can communicate using complex systems of signs, sounds, and gestures, while others claim that their communication lacks the complexity and structure of human language.

Explanation:

There are arguments both for and against the theory that animals have the capacity for language, like humans. Some argue that animals do have the capacity for language based on their ability to communicate with each other and with humans using complex systems of signs, sounds, and gestures. For example, dolphins use a system of clicks and whistles to communicate with each other. Some primates have been taught sign language and can use it to communicate with humans.

On the other hand, some argue that animals do not have the same capacity for language as humans. They point out that while animals can communicate, their communication lacks the complexity and structure found in human language. Animal communication is often limited to simple signals or gestures, rather than the complex syntax and grammar of human language.

Additionally, animals do not exhibit the same level of linguistic creativity and symbolic thought as humans. For example, humans can use language to discuss abstract concepts, tell stories, and express emotions, whereas animals typically use communication for more practical purposes such as signaling danger or finding food.

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A block of mass m is attached atthe end of a spring of force constant 10N/m vibrates in SHM with frequency of 10/bi Hz. Find the mass of the block

Answers

Answer:

The mass of the block is 0.025 kg

Explanation:

Mass-Spring Harmonic Motion

When a mass m is attached to a spring of constant k, they produce a simple harmonic motion which angular frequency is

[tex]\displaystyle w=\sqrt{\frac{k}{m}}[/tex]

We also know

[tex]w=2\pi f[/tex]

which means

[tex]\displaystyle \sqrt{\frac{k}{m}}=2\pi f[/tex]

Squaring

[tex]\displaystyle \frac{k}{m}=4\pi^2 f^2[/tex]

Solving for m

[tex]\displaystyle m=\frac{k}{4\pi^2 f^2}[/tex]

We have

[tex]k=10 N/m, f=10/\pi Hz[/tex]

[tex]\displaystyle m=\frac{10}{4\pi^2 \left (\frac{10}{\pi}\right )^2}[/tex]

Operating

[tex]\displaystyle m=\frac{10}{4\pi^2 \frac{100}{\pi^2}}[/tex]

Simplifying and computing

[tex]\displaystyle m=\frac{1}{40}=0.025\ kg[/tex]

The mass of the block is 0.025 kg

Susan goes out to exercise. She runs for one hour at a constant speed and velocity. What is the overall net force acting on
Susan?

Answers

Answer:

Overall net force is zero.

Explanation:

Given:

Susan exercise for 1 hour at constant velocity and constant speed.

So, there is no change in the velocity for 1 hour.

We know that, acceleration is the quantity that measures the change in velocity over a given time interval. If there is no change in velocity or if velocity remains constant for a given time interval, then the acceleration of the body is zero.

Now, from Newton's second law, we know that, the net force acting on a body is directly proportional to its acceleration. Therefore, for a body to experience zero acceleration means that the body will have zero net force.

Susan here exercises at constant velocity and so, her net acceleration is zero. Therefore, the overall net force acting on her will also be zero as net force is directly proportional to the acceleration.

Final answer:

In an ideal scenario ignoring external factors, the overall net force acting on Susan while she runs at a constant speed and velocity is zero, as per Newton's first law of motion.

Explanation:

The question is concerned with a scenario where Susan is running at a constant speed and velocity, implying that she is not accelerating. According to Newton's first law of motion, also known as the law of inertia, an object in motion at a constant velocity will remain in motion at that velocity unless acted upon by a net external force. Since Susan is running at a constant speed and velocity, this means there is no net external force acting on her because all forces are balanced.

Based on Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (Fnet = ma), and given that Susan is not accelerating (acceleration is zero), the net force acting on her is also zero. This assumes ideal conditions where external factors like air resistance and friction are negligible or perfectly balanced by Susan’s forward force.

The table below shows the atomic mass of four stable calcium
(Ca) isotopes.
Isotope Atomic Mass
Ca-40
40
Ca-42
Ca-43
43
Ca-44
44
What characteristic is different in each isotope?
A
the position in the periodic table of the elements
B
the net charge of the nucleus
©
the mass of the protons in the nucleus
D
the number of neutrons in the nucleus

Answers

Final answer:

The characteristic that changes in each isotope of calcium is the number of neutrons in the nucleus. The atomic number remains the same for all the isotopes.

Explanation:

The characteristic that differs in each isotope of an element, in this case, Calcium (Ca), is D. the number of neutrons in the nucleus. An isotope is a variant of a particular chemical element, and what distinguishes one isotope from another is the number of neutrons. For instance, Ca-40, Ca-42, Ca-43, and Ca-44 hold 20, 22, 23, and 24 neutrons, respectively. The atomic number, which represents the number of protons in an atom, remains the same for all isotopes of an element. Therefore, the number of neutrons in the nucleus is the only characteristic that changes within isotopes of the same element.

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The correct answer is D. The only characteristic that varies among the listed calcium isotopes is the number of neutrons in the nucleus.

Since the atomic number of calcium (Ca) is 20, each isotope of calcium has 20 protons. The isotopes listed in the question, Ca-40, Ca-42, Ca-43, and Ca-44, have atomic masses of 40, 42, 43, and 44, respectively.

To find the number of neutrons in each isotope, we subtract the number of protons (which is constant for calcium) from the atomic mass:

- For Ca-40: 40 (atomic mass) - 20 (protons) = 20 neutrons

- For Ca-42: 42 (atomic mass) - 20 (protons) = 22 neutrons

- For Ca-43: 43 (atomic mass) - 20 (protons) = 23 neutrons

- For Ca-44: 44 (atomic mass) - 20 (protons) = 24 neutrons

As we can see, the number of neutrons varies in each isotope, which is the characteristic that is different for each isotope listed.

The other options provided in the question can be ruled out based on the following reasons:

 A. the position in the periodic table of the elements - All calcium isotopes have the same position in the periodic table because they all have 20 protons, which defines their atomic number and thus their position in the periodic table.

B. the net charge of the nucleus - The net charge of the nucleus is determined by the number of protons, which is the same (20) for all calcium isotopes. Therefore, the net charge of the nucleus does not vary among these isotopes.

C. the mass of the protons in the nucleus - The mass of a proton is constant and does not vary from one isotope to another. All calcium isotopes have the same number of protons, so the mass of the protons is not the characteristic that differs among these isotopes.

A block of lead has dimensions of 4.50 cm by 5.20 cm by
6.00 cm. The block weighs 1590g. Calculate the density
of lead.​

Answers

Answer:

[tex]0.01132 g/mm^{3}[/tex]

Explanation:

Density, [tex]\rho=\frac {m}{v}[/tex]

Where m is the mass of the object and v is the volume of the same object

Given the dimensions, we can make them in mm hence 45 mm by 52 mm by 60 mm

Volume=45*52*60= 140400 mm^{3}

Density, [tex]\rho=\frac {1590}{140400}=0.011324786 g/mm^{3}\approx 0.01132 g/mm^{3}[/tex]

Investigators should collect virtually everything from a crime scene. True or false?

Answers

I think it would be TRUE but I’m not 100% sure.... please let me know if I’m right or wrong

Answer:

false

Explanation:

its a trick question. not all evidence should be collected from the crime scene due to not all the evidence be useful.

Help me Plz
can you solve the upper photo for me​

Answers

1) The acceleration of the plane is 1.89 times the acceleration of gravity

2) The force acting on the airplane is [tex]2.22\cdot 10^5 N[/tex]

Explanation:

1)

The acceleration of the plane is given by

[tex]a=\frac{v-u}{t}[/tex]

where

v is the final velocity of the plane

u is the initial velocity

t is the time elapsed

For the airplane in this problem, we have:

[tex]u=0[/tex] (it starts from rest)

[tex]v=200 km/h \cdot \frac{1000 m/km}{3600 s/h}=55.6 m/s[/tex] is the final velocity

[tex]t=3 s[/tex] is the time

Substituting, we find

[tex]a=\frac{55.6-0}{3}=18.5 m/s^2[/tex]

The acceleration of gravity is

[tex]g=9.8 m/s^2[/tex]

So, the acceleration of the plane relative to [tex]g[/tex] is

[tex]\frac{a}{g}=\frac{18.5}{9.8}=1.89[/tex]

2)

The average force exerted on the plane is given by Newton's second law:

[tex]F=ma[/tex]

where

F is the force

m is the mass of the airplane

a is the acceleration

In this problem, we have

[tex]m=12000 kg[/tex] is the mass of the plane

[tex]a=18.5 m/s^2[/tex] is the acceleration

Substituting, we find:

[tex]F=(12000)(18.5)=2.22\cdot 10^5 N[/tex]

Learn more about acceleration and forces:

brainly.com/question/11411375

brainly.com/question/1971321

brainly.com/question/2286502

brainly.com/question/2562700

#LearnwithBrainly

A rubbit gets down from a rump which its /\x=0.85m in 0.5s, The rubbit's mass is 2kg, what is the net Force?

Answers

Answer: 13.6 N

Explanation:

The equation of motion for the rabbit is:

[tex]\Delta x=V_{ox}t+\frac{1}{2}a_{x}t^{2}[/tex] (1)

Where:

[tex]\Delta x=0.85 m[/tex] is the distance traveled by the rabbit

[tex]V_{ox}=0 m/s[/tex] is the rabbit's initial velocity, assuming it started from rest

[tex]t=0.5 s[/tex] is the time

[tex]a_{x}[/tex] is the acceleration

Isolating [tex]a_{x}[/tex]:

[tex]a_{x}=\frac{2 \Delta x}{t^{2}}[/tex] (2)

[tex]a_{x}=\frac{2 (0.85 m)}{(0.5)^{2}}[/tex] (3)

[tex]a_{x}=6.8 m/s^{2}[/tex] (4)

On the other hand, the force [tex]F_{x}[/tex] is given by:

[tex]F_{x}=m.a_{x}[/tex] (5)

Where [tex]m=2 kg[/tex] is the mass of the rabbit

Substituting (4) in (5):

[tex]F_{x}=(2 kg)(6.8 m/s^{2})[/tex] (6)

Finally:

[tex]F_{x}=13.6 N[/tex]

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