i) sin^2 A sec^2 B + tan^2 B cos^2 A = sin^2A + tan²B​

Answers

Answer 1

Explanation:

sin² A sec² B + tan² B cos² A

A good first step is to write everything in terms of sine and cosine.

sin² A / cos² B + sin² B cos² A / cos² B

The fractions have the same denominator, so combine into one:

(sin² A + sin² B cos² A) / cos² B

Using Pythagorean identity, we can rewrite sin² B as 1 − cos² B:

(sin² A + (1 − cos² B) cos² A) / cos² B

Distribute:

(sin² A + cos² A − cos² B cos² A) / cos² B

Pythagorean identity:

(1 − cos² B cos² A) / cos² B

Now divide into two fractions again:

1 / cos² B − cos² B cos² A / cos² B

Simplify:

sec² B − cos² A

Using Pythagorean identity again:

(tan² B + 1) − (1 − sin² A)

tan² B + 1 − 1 + sin² A

tan² B + sin² A


Related Questions

The centripetal force depends on the mass of body, angular velocity and radius of circular path. Find the expression for the centripetal force. ​

Answers

Q:-The centripetal force depends on the mass of body, angular velocity and radius of circular path. Find the expression for the centripetal force.Answer:F=2rm2v2.

Centripetal force, directed towards the center of a circle, can be expressed using the formulas Fc = mv^2/r (using tangential speed) or Fc = mrw^2 (using angular velocity), where m is the mass, v is the speed, w is the angular velocity, and r is the radius of the circular path.

The centripetal force is the force that keeps an object moving in a circular path and is directed towards the center of the circle. The expression for centripetal force can be derived from the centripetal acceleration, which is given by ac = v2/r and ac = rw2.

When we apply Newton's second law (F = ma), we can express the centripetal force using the formula Fc = mv2/r; this version uses the tangential speed (v) of the object. Alternatively, using angular velocity (w), the formula is Fc = mrw2. The mass (m) of the object, the speed (v), angular velocity (w), and the radius (r) of the circular path all factor into the magnitude of the centripetal force.

The centripetal force is always perpendicular to the tangential velocity of the object and points towards the center of the circle. This ensures that the object continues moving in a curved path rather than in a straight line.

A ray diagram is shown.
Which describes the image?

•It is virtual and in front of the mirror.

•It is virtual and behind the mirror.

•It is real and in front of the mirror.

•It is real and behind the mirror.

Answers

Answer:

It is virtual and behind the mirror

Explanation:

When an image is produced by a mirror, we have the following situations:

- The image is said to be in front of the mirror if it is on the same side of the object, with respect to the mirror

- The image is said to be behind of the mirror if it is on the opposite side of the object, with respect to the mirror

Moreover:

- The image is said to be real if it is in front of the mirror

- The image is said to be virtual if it is behind the mirror

In this case, the image (located at point I) is on the opposite side of the object (located at point O), so it is virtual and behind the mirror.

Answer:

virtual and behind the mirror...hope this helps :))))

Physics is the study of what?

Answers

Answer: Physics is the study of Nature.

Explanation: The knowledge of Nature is the natural science that studies matter, its motion and behavior through space and time, and that studies the related entities of energy and force. Hope this helps. :D

5. An object has a momentum of 4,000 kg-m/s and a mass of 115 kg. It crashes into another object that has a mass of 100 kg, and the two objects stick together. If the momentum is conserved, what is the new velocity of the combined object? Round to the nearest hundredth.

A. 34.78 m/s
B. 15.82 m/s
C. 69.56 m/s
D. 18.60 m/s​

Answers

Answer:

D. 18.60

Explanation:

By the law of conservation, the momentum is neither loss nor gained but instead transfered. When they crash into each other, and stick, they combine to create a total mass of 215 kg. Since the momentum is transfered, the two objects, combined, have a total momentum of 4000 kg-m/s. We know that momentum equals mass times velocity. You then divide 4000 by 215 and get approximately 18.6 m/s

2 Points
You throw a football straight up into the air with a speed of 12.2 m/s. How
high does the ball go?
O
O
A. 7.6 m
B. 9.1 m
O
c. 3.2 m
O
D. 0.62 m
SUBMIT

Answers

Answer: 7.6

Explanation:

ability to dissolve in water​

Answers

Answer:

the ability to disolve in water is solubility

The ability of one substance to dissolve in another one is its solubility.

Its ability to dissolve in water is its "solubility in water".

Its ability to dissolve in chicken soup is its "solubility in chicken soup".

Its ability to dissolve in vodka is its "solubility in vodka".

They may all be different.

The frequency of a wave determines which of the following?
loudness
reflection
energy
pitch

Answers

Answer:

loudness

Explanation:

Frequency is determined by speed / wavelength. The longer the wavelength, the lower the pitch. The 'height' of the wave is its amplitude. The amplitude determines how loud a sound will be

The wave frequency determines the pitch of the sound.

Answer: Option D

Explanation:

The wave frequency determines the pitch of the sound as the sound wave has the frequency which is sensibly understood by the human ear as the pitch. Pitch has two category, high pitch and low pitch.

A high pitch sound is one which has the rapid or more frequent oscillation and on the other hand, low pitch sound is the one which has slow or less frequent oscillation in the sound wave.

When elements come together to make compounds, they retain their individual properties.

True

False

Answers

Answer:

true

Explanation:

Answer: False

Explanation:

When elements combine to form a product, they lose their individual unique property to form new properties identical to the compound formed. This lose in property could be natural state of matter, malleability, magnetic property, texture etc. Eg Hydrogen (H) combines with Oxygen to form variety of compounds conforming to various oxides. When two molecules of H combined with one molecule of oxygen, water which it's natural state is liquid is form hence losing the natural gaseous state of oxygen or hydrogen.

Another example is sodium and chlorine to form sodium chloride (table salt). Sodium is a group one metal and chlorine a gaseous element in group 17 which is greenish yellow in colour combines to form sodium chloride which its white in colour. Hence lose in color property has occurred in the new compound.

If 10 N force is depressed a typewritter key through 10 cm in 1 sec . Find average power?

Answers

Explanation:

Power = work / time, and work = force × distance

P = Fd / t

P = (10 N) (0.10 m) / (1 s)

P = 1 W

The average power is 1 Watt.

A car increases its speed from 20 km/s to 50 km/ h in 10 seconds what its is acceleration ?​

Answers

Answer:

0.8 m/s²

Explanation:

Convert km/h to m/s:

20 km/h × (1000 m / km) × (1 h / 3600 s) = 5.56 m/s

50 km/h × (1000 m / km) × (1 h / 3600 s) = 13.89 m/s

Acceleration is change in velocity over change in time:

a = Δv / Δt

a = (13.89 m/s − 5.56 m/s) / 10 s

a = 0.83 m/s²

Rounded to one significant figure, the car accelerates at 0.8 m/s².

what was the western roman Catholic main language​

Answers

Answer:

Italian

Explanation:

The Western Roman Catholic's main language​ was Italian.

At 20 degrees Celsius, conducting wires made of different materials have the same length and the same diameter. Which wire has the least resistance? aluminum gold nichrome tungsten

Answers

Final answer:

The wire with the least resistance at 20 degrees Celsius, given the same length and diameter, would be gold due to its lower resistivity compared to aluminium, nichrome and tungsten.

Explanation:

The resistance of a wire depends on its material's resistivity, length, and cross-sectional area. In this case, the wires are of the same length and diameter, so the wire with the least resistance would be the one with the lowest resistivity. Comparing the different materials listed, gold, aluminum, nichrome, and tungsten, we find that gold has the lowest resistivity, so it would have the least resistance at 20 degrees Celsius.

It's worth noting this concept with the base of Ohm's law. In general, materials with good conductivity, like gold, copper, and aluminum, are referred to as ohmic materials where the resistance remains essentially the same for a wide range of voltage and current. This is due to the abundant free electrons in these metals that allow for easy flow of electric current thereby reducing resistance.

Learn more about Electrical Resistance here:

https://brainly.com/question/31668005

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Final answer:

When comparing aluminum, gold, nichrome, and tungsten wires of the same length and diameter at 20 degrees Celsius, the gold wire would have the least resistance due to gold's low resistivity.

Explanation:

The ability of a material to resist the flow of electrical current is measured as resistance. In this case, we are comparing the resistance of different types of conducting wires at the same temperature, length, and diameter. From the given options, which include aluminum, gold, nichrome, and tungsten, the wire that would have the least resistance, other factors being equal, would be gold.

The reason for this is that gold, amongst these options, has the lowest resistivity. Resistivity is the property of a material that determines the resistance of a wire made from that material. It basically measures how strongly the material opposes the flow of electric current.

In the case of gold, it is one of the most conductive materials known, meaning it has very low resistivity, and therefore a gold wire would have lower resistance than wires made from the other materials listed. While silver actually has the highest conductivity and lowest resistivity of any metal, it is not one of the options presented in this question.

Learn more about Electrical Resistance here:

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what is 362 equal to 126 subtracted from r?​

Answers

Answer:

488 = r

Explanation:

362 = -126 + r; 488 = r

I am joyous to assist you anytime.

what is mechinical advantage​

Answers

Explanation:

Mechanical is the ratio of the output and input forces.

For example, if a lever is balanced in the middle, then pushing on one end will yield the same amount of force on the other end.  So the mechanical advantage is 1.

If instead that lever is balanced so that one side is twice as long as the other, then pushing on the long end will yield twice the force on the short end.  The mechanical advantage would be 2.

the advantage gained by the use of a mechanism in transmitting force

specifically : the ratio of the force that performs the useful work of a machine to the force that is applied to the machine

A skydiver jumps out of a plane. A moment later, the skydiver feels considerable air resistance pushing against her but she is still accelerating downwards. When drawing the free body diagram, the force vector arrow for the air resistance should be drawn

Answers

The arrow should be drawn upwards but the magnitude of force (arrow representing air resistance) should be shorter than the arrow representing gravity

Cleaning tarnished silver is an example for which of the following.

chemical change

chemical property

physical change

physical property

Answers

I believe chemical change is the correct answer.

Silver is a chemical so it certainly will not deal with physical change or physical property.

It cannot be a property since it consists of only one element which is silver.

Cleaning tarnished silver is an example of chemical change, therefore the correct answer is option A.

What is a chemical reaction?

A chemical reaction is a process in which one or more substances, also known as reactants are converted to one or more different substances, known as products.    

A chemical bonding between a metal and a nonmetal molecule, often oxygen and sulfur dioxide, results in a tarnish.

The result of a chemical interaction between a metal and a non-metal substance like oxygen or sulfur oxides is a tarnish.

Since polishing tarnished silver is an example of a chemical change, option A is the appropriate response.

To learn more about chemical reactions, refer to the link given below;

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With what speed must a ball be thrown vertically up in order to rise to a maximum height of 45m? And for how long will it be in air?

Answers

1) 29.7 m/s

We can solve the first part of the problem by using the law of conservation of energy. In fact, the initial kinetic energy when the ball is thrown from the ground will be entirely converted into gravitational potential energy as the ball reaches its maximum heigth, so we can write:

[tex]\frac{1}{2}mv^2 = mgh[/tex]

where

m is the mass of the ball

v is the initial speed

g is the acceleration of gravity

h is the maximum height

Re-arranging the equation:

[tex]v=\sqrt{2gh}[/tex]

and substituting:

g = 9.8 m/s^2

h = 45 m

We find

[tex]v=\sqrt{2(9.8)(45)}=29.7 m/s[/tex]

2) 6.0 s

First of all, we can calculate how long the ball takes to reach the maximum height. This can be done by using the equation:

[tex]v=u+at[/tex]

where

v = 0 is the final speed of the ball, when it is at its maximum height

u = 29.7 m/s is the initial speed

a = -g = -9.8 m/s^2 is the acceleration of gravity (negative because it is downward)

t is the time

Solving for t,

[tex]t= \frac{v-u}{a}=\frac{0-29.7}{-9.8}=3.0 s[/tex]

So the ball takes 3.0 s to reach the maximum heigth. The time it takes to fall down again is equal, so also 3.0 s, so the total time of the motion is

t = 3.0 + 3.0 = 6.0 s

A copper calorimeter of mass 120g contains 70g of water and 10g of ice at 0 °C. What mass of steam at 100°C must be passed into calorimeter to raise the temperature to 40°C.​

Answers

Answer:

Approximately 73 grams if no heat is lost in this process.

Explanation:

Relevant data and their sources:

Specific heat capacity of copper: [tex]c(\text{Copper}) = \rm 0.385\;J\cdot g^{-1}[/tex] (cpanhd, IUN.edu);Specific heat capacity of water: [tex]c(\text{Water}) = \rm 4.179\;J\cdot g^{-1}[/tex] (ibid.);Latent heat of fusion of water: [tex]L_\mathrm{F}(\text{Water}) = \rm 334\;J\cdot g^{-1}[/tex] (Legates 2005);Latent heat of vaporization of water: [tex]L_\mathrm{V}(\text{Water}) = \rm 2.260\;J\cdot g^{-1}[/tex] (Datt 2001).

How much heat is needed?

The heat it takes to raise the calorimeter and its content from 0°C to 40°C includes three parts:

The heat it takes to melt that 10 grams of ice, The heat it takes to heat that [tex]70 + 10 = 80[/tex] grams of water from 0°C to 40°C, andThe heat it takes to heat the 120-gram calorimeter from 0°C to 40°C.

Note that to avoid rounding errors, most calculations in this explanation do not follow significant figure rules.  

How much heat will it take to melt that 10 grams of ice?

The latent heat of fusion of water gives the amount of heat required to melt each unit mass of ice at 0°C to water without changing the temperature. (As a side note, that's also the amount heat released when unit mass of water turns into ice at 0°C.)[tex]L_\mathrm{F}(\text{Water}) = \rm 334\;J\cdot g^{-1}[/tex]. Melting each gram of ice requires approximately 334 joules of heat, so melting 10 grams of ice will require about 3,340 joules of heat.

How much heat will it take to heat that 80 grams of water from 0°C to 40°C?

There's no state change involved after all that 10 grams of ice melted into water. There's now 80 grams of water at 0°C to melt. The specific heat of water gives the amount of energy required to raise one gram of water by one degree Celsius (which is the same as one degree Kelvin.) [tex]c(\text{Water}) = \rm 4.179\;J\cdot g^{-1}[/tex].

[tex]Q(\text{water}) = c(\text{water})\cdot m(\text{water}) \cdot \Delta T = \rm 4.179\times 80\times 40 = 13372.8\; J[/tex].

How much heat will it take to heat that 120-gram calorimeter from 0°C to 40°C?

The melting point of copper is approximately 1,100°C, which is much higher than 100 °C. As a result, there will not be any state change in this process. [tex]c(\text{Copper}) = \rm 0.385\;J\cdot g^{-1}[/tex]. Similarly,

[tex]Q(\text{copper}) = c(\text{copper})\cdot m(\text{copper}) \cdot \Delta T = \rm 0.385\times 120\times 40 = 1848\; J[/tex].

How much heat is required in total?

Combining all three parts:

[tex]\rm 3340 + 13372.8 + 1848 = 18560.8\; J[/tex].

How much steam at 100°C will be required?

The steam added to the calorimeter will first condense to form water of 100°C before cooling down to 40°C. The energy released in that process will come in two parts:

The energy released while the steam condenses to water at 100°C, andThe energy released while the water formed cools from 100°C to 40°C.

To simplify the calculations, let the mass of steam required be [tex]x[/tex] grams. [tex]x>0[/tex].

How much energy will be released when that [tex]x[/tex] grams of steam condenses to water?

Similar to the latent heat of fusion of water, the latent heat of vaporization of water gives the amount of heat released for each unit mass of steam that condenses to water at 100°C without change in temperature. (As a side note, that's also the amount of energy required to turn unit mass of water into steam at 100°C.) [tex]L_\mathrm{V}(\text{Water}) = \rm 2.260\;J\cdot g^{-1}[/tex]. In other words, each gram of steam that condenses at 100°C will release approximately 2.260 joule. [tex]x[/tex] grams of steam that condenses at 100°C will release [tex]2.260x[/tex] joules of heat.

How much energy will be released when that [tex]x[/tex] grams of steam condenses to water?

Similar to the heat required to heat 80 grams of water from 0°C to 40°C, the heat released when [tex]x[/tex] grams of steam condenses to water can also be found with the specific heat capacity of water. [tex]c(\text{Water}) = \rm 4.179\;J\cdot g^{-1}[/tex].

[tex]Q(\text{water}) = c(\text{water})\cdot m(\text{water}) \cdot \Delta T = \rm 4.178\cdot \mathnormal{x}\times (100 - 40)=250.68\mathnormal{x} \; J[/tex].

How much energy will be released in total when [tex]x[/tex] grams of steam condenses to water at 100°C and cools to 40°C?

[tex]2.260x + 250.68x = \rm 252.94\mathnormal{x}\;J[/tex].

Again, how much steam at 100°C will be required?

The amount of heat released shall equal to amount of heat absorbed. As a result,

[tex]252.94x = 18560.8[/tex].

[tex]\displaystyle x = \rm\frac{18560.8}{252.94}\approx 73\;g[/tex].

In other words, approximately 73 grams of steam at 100°C will be required to heat that calorimeter and its contents to 40°C.

Answer:

7.4 g

Explanation:

Heat absorbed by copper:

= mc Cc ΔTc

= (120 g) (0.39 J/g/°C) (40°C − 0°C)

= 1872 J

Heat absorbed by ice:

= mi Li + mi Cw ΔTi

= (10 g) (334 J/g) + (10 g) (4.18 J/g/°C) (40°C − 0°C)

= 5012 J

Heat absorbed by water:

= mw Cw ΔTw

= (70) (4.18 J/g/°C) (40°C − 0°C)

= 11704 J

Heat lost by steam:

= ms Ls + ms Cw ΔTs

= m (2264.7 J/g) + m (4.18 J/g/°C) (100°C − 40°C)

= 2515.5 J/g m

1872 J + 5012 J + 11704 J = 2515.5 J/g m

m = 7.39 g

Rounded to two significant figures, the mass of steam needed is 7.4 grams.

3. If the average acceleration of a cheetah is 8 m/s, what will its velocity be after 3 seconds if it is
initially walking at 1 m/s?
a) 22 m/s
b) 23m/s
c) 24 m/s
d) 25 m/s

Answers

Answer:

d) 25 m/s

Explanation:

Acceleration is change in velocity over change in time:

a = Δv / Δt

8 m/s² = (v − 1 m/s) / 3s

v = 25 m/s

what increase electrical resistance of metal?


Answers

Answer:

Explanation:

The resistivity of a metal is given as

rho = k * l/Area

k is a constant associated with the metal

l is the length of the metal

A is the cross sectional area.

If you decrease the area and increase the length, you will increase the resistance. Always try and do physics problems by a formula of some kind.

Which of the following involves a change in which energy is absorbed
A. Campfire
B. Running Cat
C. Heating Pad
D. Melting Ice

Answers

Answer:

D) Melting ice

Its absorbtion of heat is the reason it's melting

Answer: D

Explanation:

The answer is D. Melting Ice

How do you find the speed of an electromagnetic wave? Multiply the wavelength by the frequency. Dvide the frequency by the wavelength. Add the wavelength plus the frequency. Divide the wavelength by the frequency.

Answers

Answer:

Multiply the wavelength by the frequency.

Explanation:

The velocity of a wave is the frequency times the wavelength.


According to the periodic table, which of the following is the correct symbol for
the element lead?
OA. Li
o B. Ag
o C. La
OD. Pb
Help

Answers

Answer:

D.

Explanation:

P

The symbol for lead is Pb: it comes from the latin name for it, which is plumbum.

Final Answer:

The correct symbol for the element lead is Pb.

Explanation:

This question demands basic understanding of periodic table and its elements along with symbols of all the elements in a proper sequence of their appearance.

The correct symbol for the element lead, according to the periodic table, is Pb. The element lead has an atomic number of 82, which means it has 82 protons. Mass of lead is 207.2. The symbol Pb represents the element lead in chemical equations and on the periodic table.

Some important properties of lead are that it is denser than many elements of periodic table and at the same time it is malleable and soft enough.

How do you get a resultant factor ?

A. Add two or more vectors

B. Add two scalars

C. Multiply two scalars

D. Multiply two vectors

Answers

Resultant is a term describing the sum of two or more vectors.

Choice A

When adding or subtracting vectors, the final outcome is known as the resultant vector. Understanding how to add vectors helps find the resultant vector by combining magnitudes and directions. Vector multiplication can lead to a triple scalar product, resulting in a scalar value.

The final quantity you get when adding or subtracting vectors is called the resultant vector. In other words, the individual vectors can be replaced by the resultant - the overall effect is the same.

When dealing with adding two or more vectors, the process involves adding the vectors head-to-tail to determine the resultant vector. The resultant vector combines the magnitudes and directions of the original vectors.

The product A (B X C) in vector multiplication refers to the triple scalar product, which results in a scalar quantity obtained by multiplying three vectors.

31. A big 8 kg fish swimming at 3 m/s opens its mouth and swallows a small 2 kg fish swimming
away from it at 1 m/s. Presume water resistance is negligible. Show your calculations.
(A) What is the momentum of the two fish system after the smaller fish has been
swallowed?
(B) What is the speed of the two fish system after the smaller fish has been swallowed?
(Hint: first figure the mass of the two fish system.)

Answers

Answer: (A) 26kgm/s (B) 2.6m/s

Explanation:

This problem is a good example of an inelastic collision, in which the elements that collide remain together after the collision, and althogh the kinetic energy is not conserved, the linear momentum [tex]p[/tex] does.

Thus: [tex]p=m.V[/tex]  (1)

Where [tex]m[/tex] is the mass and [tex]V[/tex] the velocity.

[tex]p_{i}=p_{f}[/tex]  (2)

Where [tex]p_{i}[/tex] is the initial momentum and [tex]p_{f}[/tex] the final momentum.

(A) Momentum of the two fish system after the smaller fish has been  swallowed

[tex]p_{i}=m_{i1}V_{i1}+m_{i2}V_{i2}[/tex] (3)

Where [tex]m_{i}=8kg[/tex] is the initial mass (mass of the big fish) and [tex]V_{i}=3m/s[/tex] is the initial velocity of the big fish, [tex]m_{i2}=2kg[/tex] is the initial mass of the small fish and [tex]V_{i2}=1m/s[/tex] is the initial velocity of the small fish.

[tex]p_{i}=(8kg)(3m/s)+(2kg)(1m/s)=26kg.m/s[/tex] (4)

By the conservation of linear momentum:

[tex]p_{i}=p_{f}=26kg.m/s[/tex] (5)

(B) Speed of the two fish system after the smaller fish has been swallowed

In this case we will focus on [tex]p_{f}[/tex] (after the "collision"):

[tex]p_{f}=(m_{i1}+m_{i2})V[/tex] (6)

Where [tex]V[/tex] is the velocity of the system of both fish.

Finding [tex]V[/tex]:

[tex]V=\frac{p_{f}}{m_{i1}+m_{i2}}[/tex] (7)

Solving (7) and remembering [tex]p_{i}=p_{f}[/tex]:

[tex]V=\frac{26kg.m/s}{8kg+2kg}[/tex] (8)

Finally:

[tex]V=2.6m/s[/tex]

Which type of process happens without gain or loss of heat

Answers

An adiabatic process. This occurs when there is no loss or gain of heat, as stated in the question.

Answer: adiabatic

Explanation:

a cat started at a distance of 5.4 m away from your front door and began walking directly away from it. 2 minutes later, the cat was 9.3 m from your door. if d is the distance of the cat from the door, what is (delta)d
A. 3.9
B. 9.3
C. 5.4
D. 2

Answers

Answer: A. 3.9 m

Explanation:

The variation in distance [tex]\Delta d[/tex] is given by:

[tex]\Delta d=d_{f}-d_{o}[/tex]  (1)

Where [tex]d_{f}=9.3m[/tex] is the final distance of the cat from the door and [tex]d_{o}=5.4m[/tex] is the initial distance of the cat from the door.

Solving (1) with the known values:

[tex]\Delta d=9.3m-5.4m=3.9m[/tex]  (2)

Hence:

[tex]\Delta d=3.9m[/tex]  

1.0. A body has a moss 5 kg, what does it mean? How
is mass of a body measured? Define one second​

Answers

Answer:Kg is the unit of mass. So a 5kg object has a mass of 5kg. The weight you associate with it is only relevant on Earth (under its specific gravity) and in fact really the kilogram-force measurement which is measured in Newtons (5kg x 9.8m/s2 = 49.2N). ... Commonly, it means the object weighs 5kg

Explanation:

This is not my answer

Final answer:

A body with a mass of 5 kg contains an amount of matter equivalent to 5 kilograms. Mass is a measure of the amount of matter and inertia in an object, measured in kilograms using a balance. One second is the time duration of over 9 billion periods of the radiation of the cesium-133 atom.

Explanation:

Understanding Mass and Its Measurement

When a body has a mass of 5 kg, it means that the body contains matter equivalent to 5 kilograms. Mass is a property of an object that quantifies its amount of matter and its inertia. Inertia is the object's tendency to maintain its state of motion. The mass does not change regardless of the location because it is independent of external forces like gravity. In contrast, weight is the force on a body due to gravity and can vary with the change of gravity in different locations.

Mass is measured using a balance that compares the object to a standard mass, such as a known weight or the International Prototype Kilogram, which is a cylinder made of a platinum-iridium alloy kept at the International Bureau of Weights and Measures in France. The standard unit of mass in the International System of Units (SI) is the kilogram (kg).

Definition of One Second

One second is the duration of 9,192,631,770 periods of radiation corresponding to the transition between two hyperfine levels of the ground state of the cesium-133 atom at 0 kelvin. It is a unit of time in the International System of Units (SI).

If a train is traveling eastward with a constant velocity of 15 m/s, what is the net external force action on it? There is not enough information, so it cannot be solved. There is no net force acting on the train. the force from the engines

Answers

Answer:

There is no net force acting on the train.

Explanation:

The net force equals mass times acceleration:

∑F = ma

The train moves at constant velocity, so its acceleration is 0.  Therefore, the net force is 0.

An electric charge in a magnetic field will experience no force if the charge is moving _______ to the field.

perpendicular

parallel

Answers

Answer:

Parallel

Explanation:

An electric charge in a magnetic field will experience no force if the charge is moving parallel to the field.

No force is exerted on electric charge when it moves parallel to magnetic field.

Answer: Parallel

Explanation:

When the electric charge moves parallel in a magnetic field, the component of velocity and field becomes zero which results in net force as zero.

This due to the sine component which makes zero angle and thus component as zero too. The force on the charge moving in magnetic field is perpendicular to velocity and field.

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