Answer:
a) The x and y components of the momentum are [tex]8.731\,\frac{kg\cdot m}{s}[/tex] and [tex]-11.661\,\frac{kg\cdot m}{s}[/tex], respectively.
b) The magnitude and direction of its momentum are approximately 14.567 kilogram-meters per second and 306.823º.
Explanation:
a) The vectorial equation of momentum is represented by the following expression:
[tex]\vec p = m\cdot \vec v[/tex] (1)
Where:
[tex]\vec p[/tex] - Vector momentum, measured in kilogram-meters per second.
[tex]m[/tex] - Mass of the particle, measured in kilograms.
[tex]\vec v[/tex] - Vector velocity, measured in meters per second.
If we know that [tex]m = 2.93\,kg[/tex] and [tex]\vec v = 2.98\,\hat{i}-3.98\,\hat{j}\,\,\,\left[\frac{m}{s} \right][/tex], then the momentum is:
[tex]\vec p = (2.93)\cdot (2.98\,\hat{i}-3.98\,\hat{j})\,\,\,\left[\frac{kg\cdot m}{s} \right][/tex]
[tex]\vec p = 8.731\,\hat{i}-11.661\,\hat{j}\,\,\,\left[\frac{kg\cdot m}{s} \right][/tex]
The x and y components of the momentum are [tex]8.731\,\frac{kg\cdot m}{s}[/tex] and [tex]-11.661\,\frac{kg\cdot m}{s}[/tex], respectively.
b) The magnitude and direction of momentum are represented by the following expressions:
[tex]\|\vec p \| = \sqrt{p_{x}^{2}+p_{y}^{2}}[/tex] (2)
[tex]\theta = \tan^{-1}\left(\frac{p_{y}}{p_{x}} \right)[/tex] (3)
Where:
[tex]\|\vec p\|[/tex] - Magnitude of momentum, measured in kilogram-meters per second.
[tex]\theta[/tex] - Direction of momentum, measured in sexagesimal degrees.
If we know that [tex]p_{x} = 8.731\,\frac{kg\cdot m}{s}[/tex] and [tex]p_{y} = -11.661\,\frac{kg\cdot m}{s}[/tex], then the magnitude and direction of momentum are, respectively:
[tex]\|\vec p\| = \sqrt{\left(8.731\,\frac{kg\cdot m}{s} \right)^{2}+\left(-11.661\,\frac{kg\cdot m}{s} \right)^{2}}[/tex]
[tex]\|\vec p\| \approx 14.567\,\frac{kg\cdot m}{s}[/tex]
[tex]\theta =\tan^{-1}\left(\frac{-11.661\,\frac{kg\cdot m}{s} }{8.731\,\frac{kg\cdot m}{s} } \right)[/tex]
[tex]\theta \approx 306.823^{\circ}[/tex]
The magnitude and direction of its momentum are approximately 14.567 kilogram-meters per second and 306.823º.
The thermal expansion of a solid is caused by:
a. the breaking of bonds between atoms.
b. increasing the amplitude of the atoms
vibration.
c. increasing the distance between equilibrium
positions for the vibrating atoms.
d. all of the above.
Answer:
C
Explanation:
The increase in the distance between equilibrium positions for the vibrating atoms.
By increasing the distance between equilibrium positions for the vibrating atoms.
• The tendency of matter to change its area, shape, density, and volume in response to a change in temperature is termed as thermal expansion.
• The thermal expansion of a solid can result by enhancing the distance between the equilibrium positions for the vibrating atoms.
• With the supply of thermal energy, the amplitude of the vibration of the atoms enhances. Thus, post providing some heat energy, the distance between the equilibrium positions for the vibrating atoms enhances.
Thus, the correct statement is option c.
To know more about:
https://brainly.com/question/10866977
I
5. An electric field has a strength of 10.0 N/C at a distance of 1.00 m from an unknown charge. At
what distance from the charge does the electric field strength equal 2.50 N/C?
Answer:
The electric field strength is equal to 2.50 newtons per coulomb at a distance of 2 meters.
Explanation:
From Classic Electrostatic Theory, we find that electric field ([tex]E[/tex]), measured in newtons per coulomb, is defined by the following equation:
[tex]E = \frac{F}{q_{O}}[/tex] (1)
Where:
[tex]F[/tex] - Electrostatic force, measured in newtons.
[tex]q_{O}[/tex] - Electric charge, measured in coulombs.
In addition and supposing that phenomena occurs between particles, electrostatic force is modelled after the Coulomb's Law:
[tex]F = \frac{k\cdot q\cdot q_{O}}{r^{2}}[/tex] (2)
Where:
[tex]k[/tex] - Electromagnetic constant, measured in newton-square meters per square coulomb.
[tex]q[/tex], [tex]q_{O}[/tex] - Electric charges, measured in coulomb.
[tex]r[/tex] - Distance between particles, measured in meters.
By applying (2) in (1), we get the following definition of electric field:
[tex]E = \frac{k\cdot q}{r^{2}}[/tex] (3)
Then, we observe that electric field is inversely proportional to the square of the distance. The following relationship is therefore constructed:
[tex]\frac{E_{2}}{E_{1}} = \left(\frac{r_{1}}{r_{2}} \right)^{2}[/tex] (4)
If we know that [tex]E_{1} = 10\,\frac{N}{C}[/tex], [tex]E_{2} = 2.50\,\frac{N}{C}[/tex] and [tex]r_{1} = 1\,m[/tex], then the distance is:
[tex]\left(\frac{E_{2}}{E_{1}} \right)\cdot r_{2}^{2}= r_{1}^{2}[/tex]
[tex]r_{2}^{2}=\left(\frac{E_{1}}{E_{2}} \right)\cdot r_{1}^{2}[/tex]
[tex]r_{2} = r_{1}\cdot \sqrt{\frac{E_{1}}{E_{2}} }[/tex]
[tex]r_{2} = (1\,m)\cdot \sqrt{\frac{10\,\frac{N}{C} }{2.50\,\frac{N}{C} } }[/tex]
[tex]r_{2} = 2\,m[/tex]
The electric field strength is equal to 2.50 newtons per coulomb at a distance of 2 meters.
SONAR is an example of which type of wave behavior? Explain how it works and be sure to name the type of wave involved
Answer:
sound waves
Explanation:
SONAR (originally an acronym for Sound Navigation And Ranging) is a technique that uses sound propagation (usually underwater, as in submarine navigation) to navigate, communicate with or detect objects on or under the surface of the water, such as other vessels.
In this method, to find the depth of an ocean, a strong ultrasonic wave is sent from the ship towards the bottom of the ocean. This ultrasonic wave is received back after it is reflected from the bottom of the sea. The time interval t for travel of sound waves from the source to the receiver after reflection is noted.The distance travelled by the ultrasound ray is given by the equation: 2d=vt, where v is the velocity of sound. From this the depth d can be calculated.
Answer:
Sonar uses sound waves to 'see' in the water.
Sonar, short for Sound Navigation and Ranging, is helpful for exploring and mapping the ocean because sound waves travel farther in the water than do radar and light waves.Sonar (sound navigation ranging) is a technique that uses sound propagation (usually underwater, as in submarine navigation) to navigate, communicate with or detect objects on or under the surface of the water, such as other vessels.[2] Two types of technology share the name "sonar": passive sonar is essentially listening for the sound made by vessels; active sonar is emitting pulses of sounds and listening for echoes. Sonar may be used as a means of acoustic location and of measurement of the echo characteristics of "targets" in the water. Acoustic location in air was used before the introduction of radar. Sonar may also be used for robot navigation,[3] and SODAR (an upward-looking in-air sonar) is used for atmospheric investigations. The term sonar is also used for the equipment used to generate and receive the sound. The acoustic frequencies used in sonar systems vary from very low (infrasonic) to extremely high (ultrasonic). The study of underwater sound is known as underwater acoustics or hydroacoustics.
What experimental evidence led to the development of the atomic model before the one before it?
Where does the name basketball come from?
Group of answer choices
ball and basket
round and ball
ball and net
basket and court
PLZZ ANSWER THE QUESTION
two boats are anchored in the harbor, separated by a horizontal distance of 12m. the boat bob up and down as waves enter
Which of the following is not true about arid deserts?
a.
They can be found in North America.
b.
The rain falls mostly as snow during the winter.
c.
They are very hot and dry.
d.
The rain often evaporates before it hits the ground.
Please select the best answer from the choices provided
A
B
C
D
Answer: B | The rain falls mostly as snow during the winter.
On land, the most massive concrete block you can carry is 25 kg. Given concrete’s 2200‐ kg/m3 density, how massive a block could you carry underwater
Answer:
46kg approx.Explanation:
Given data
Density of concrete ρ_c=2200kg/m3
Mass of concrete m_c= 25kg
In water
[tex]F_{P2} + F_{app}-m_{cg}=0[/tex]
[tex]F_{app}=m_{cg}-F_{P2}[/tex]
Max Fapp = 25*g
Buoyancy force
[tex]F_{P2} = \rho WgV_c= \rho Wg\frac{\rho_c}{m_c}\\\\F_{ p2}= \rho Wg\frac{\rho_c}{m_c}[/tex]
[tex]25*g=m_cg- \rho W g\frac{mW}{\rho_c}= m_cg(1- \frac{\rho W}{\rho_c} )[/tex]
[tex]m_c=25( \frac{\rho_c}{\rho_c- \rho W} )[/tex]
substitute
[tex]m_c=25( \frac{2200}{2200- 1000} )\\\\m_c=25*1.833\\\\m_c=45.8[/tex]
=46kg approx.
How do you think
the reactivity of aluminum compares
to the reactivity of other metals?
A more reactive metal will displace a less reactive metal from a compound. ... Because aluminum is more reactive than iron, it displaces iron from iron(III) oxide. The aluminum removes oxygen from the iron(III) oxide: iron is reduced.
A more reactive metal will displace a less reactive metal from a compound because aluminum is more reactive than iron, it displaces iron from iron(III) oxide.
What is compound?Compound has been combination of two or more than two different elements which are said to be chemically bond. So the compound has to be held by the chemical bond. A compound cannot be separate by the physical separation and after that the mixture you cannot be identified that it has compound or not.
Mixture has been combination of the two or more than different chemical elements which has not chemically bond. A mixture has been the physical combination of two or more elements in which the individual identities are remained and it also mixed by the solutions, suspension and colloids.
A compound cannot be separate by the physical separation and after that the mixture you cannot be identified that it has compound or not.Mixture has been combination of the two or more than different chemical elements which has not chemically bond.
Therefore, A more reactive metal will displace a less reactive metal from a compound because aluminum is more reactive than iron, it displaces iron from iron(III) oxide.
Learn more about compound here:
https://brainly.com/question/13516179
#SPJ1
Which color of light is produced by mixing red light and blue light?
A)white light
B)yellow light
C)magenta light
D)cyan light
Answer:
the answer is magenta light
Explanation:
When red and blue light are combined, the result is magenta.. When green and blue light are combined, they make cyan. Red and green light make yellow.
Answer:
magenta light
Explanation:
red+blue=purple but the light makes the radius lighter so its magenta
A ball is still live when
1. A hand off has been dropped
2. The quarterback does not catch the snap
3. Both A and B
If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, what is the period of its orbit?
Q. 380 If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, what is the period of its orbit?
A. 1 years
B. 4 years
C. 64 years
D. 8 years
Q. 382 If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, what is the period of its orbit?
A. 8 years
B. 1 years
C. 12 years
D. 64 years
Chapter 4; Problems 3, 5 3) If a planet has an average distance from the Sun of 4 AU, what is its orbital period? P2 = 43 = 64 P = 64 = 8 years
In conclusion:
The answer is 8 years
If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, then the period of the orbit would b 8 years, therefore the correct answer is option D.
What are Kepler's third laws of planetary motion?The square of a planet's orbital period is proportional to the cube of the length of the semi-major axis of its elliptical orbit.
a³ = T²
As given in the problem If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units,
4³= T²
T = √64
T = 8 years
Thus, the correct answer is option D.
To learn more about Kepler's laws of planetary motion, refer to the link;
https://brainly.com/question/4097378
#SPJ2
Your question is incomplete, the complete question is,
If a planet has an average distance from the sun (semi-major axis of its orbit) of 4 astronomical units, what is the period of its orbit?
A. 1 year
B. 4 years
C. 64 years
D. 8 years
Please can you help?? A skydiver is falling at terminal velocity when she opens her parachute. After a while she reaches a new terminal velocity. How does her new terminal velocity compare to her original terminal velocity?
why are magnetic materials attracted to magnets
Hello!
Topic: Magnetic material
Why are magnetic materials attracted to magnets?
Because when you expose any magnetic material to a magnetic field, magnetc material atoms start to align their electrons, because they flow by magnetic fields.
Then the atoms reacts to the field, and try to get together to the magnetic electrons field.
Thats why magnetic materials are attracted to magnets.
How fast does lightning move?
90,000 miler per hour
125,000 miles per hour
175,000 miler per second
90,000 milers per second
Answer:
about 186,000 miles per second
Explanation:
so your closest bet is probably 175 miles per second
Answer:
Correct answer is 90,000 miles PER SECOND
Explanation:
what is the meaning of mito
Explanation:
A disorder that occurs when structures that produce energy for a cell malfunction.
A common factor among mitochondrial diseases is that the mitochondria are unable to completely burn food and oxygen to generate energy, which is essential for normal cell function. It's often inherited
a vector needs to be divided into components when ?
Answer:
Calculating the magnitude of a vector is only the beginning. The magnitude function opens the door to many possibilities, the first of which is normalization. Normalizing refers to the process of making something “standard” or, well, “normal.” In the case of vectors, let’s assume for the moment that a standard vector has a length of 1. To normalize a vector, therefore, is to take a vector of any length and, keeping it pointing in the same direction, change its length to 1, turning it into what is called a unit vector.To normalize a vector, simply divide each component by its magnitude. This is pretty intuitive. Say a vector is of length 5. Well, 5 divided by 5 is 1. So, looking at our right triangle, we then need to scale the hypotenuse down by dividing by 5. In that process the sides shrink, divided by 5 as well.
I hope this is helpful, Have a Great Day!!
According to the law of conservation of energy, which statement must be
true?
A. Energy that is transferred cannot be transformed into a different
type of energy.
O B. The total energy of a system can increase only if energy enters the
system.
C. The total energy in a system can only decrease over time.
O D. A system cannot take in additional matter.
SIR
Answer: B
Explanation:
Which refers to the area on the thermometer marked with the letter A? scale bulb mercury strip number line
Answer:
The answer is numberline, D
Explanation:
I got it right on edge
Answer:
A
Explanation:
Scale
Got it right on Edge:)
What is the hydrostatic pressure at the bottom of a vessel in which water 30 cm high and gasoline 10 cm high have been poured? (density = 800)
Answer:
P = 3136 Pa
Explanation:
The formula to apply in this case is :
P= rho*g*d where;
rho = density = 800
g = acceleration due to gravity =9.8 m/s²
d= depth = 10+30 =40 cm = 0.4 m
P= hydrostatic pressure
P= 800 * 9.8 * 0.4
P = 3136 Pa
Zinc selenide has a band gap of 2.58 eV. Over what range of wavelengths of visible light is it transparent
Calculate the amount of kinetic energy a 50 kg runner has when he is going 2 m/s.
Equation: KE = 1/2mv2
Given:
Mass of the runner (m) = 50 kg
Speed of the runner (v) = 2 m/s
Equation:
[tex] \rm KE = \dfrac{1}{2} mv^2[/tex]
Answer:
By substituting values in the equation, we get:
[tex] \rm KE = \dfrac{1}{2} \times 50 \times 2^2 \\ \\ \rm = \dfrac{1}{2} \times 50 \times 4 \\ \\ \rm = 25 \times 4 \\ \\ \rm = 100 \: J[/tex]
[tex] \therefore [/tex] Kinetic energy of the runner = 100 J
Answer:
Given,
mass(m)=50kg
velocity(v)=2m/s
kinetic energy(K.E.)=?
We know that K.E.=1/2mv2
KE=1/2×50×2^2
Explanation:
=1/2×200
=100 Joule
HELP!!!!!!!!!!!
The earliest multi celled organisms on Earth were:
a
Bacteria
b
Vertebrates
c
Invertebrates
d
Plants
Answer:
Bacteria
Explanation:
Answer:
The answer is bacteria.
Explanation:
Bacteria were the first known multi-celled organism on Earth.
The speed of light can be measured by;
A. Time of planets rotation
B. Distance between objects in space
C. Mass of astronomical bodies
Answer:
it's the distance between objects in space
Explanation: Light travels super fast; but it still takes a long time to travel between objects in space. This is because distances between objects in space are enormous.
And can i please receive a brainliest and have a good day
Which illustration represents the arrangement of particles in a liquid?
The correct answer is A.
Explanation
In nature, we can find three basic states of material, one of these is gas, that is characterized by far apart particles that move quickly in all directions; the second is solid that is characterized by close particles located in a definite pattern, and these only vibrate without losing its form, and third is the liquid, that is characterized for close particles with an undefined pattern, and its movement is around each other. According to the above, the image that best expresses the arrangement of particles in a liquid is option A, because there are particles close together and move around each other.
Answer:the correct answer is A the foggy looking brain pic
Explanation:
I selected C the separated looking particles that answer was wrong
5. A baseball player bats a ball with a force of 1,000 N. The ball exerts a reaction force against the bat
of...
a. Less than 1,000 N
b. More than 1,000 N
c. 1,000 N
Why???
Explaining the concept:
Reaction force is the equal and opposite force applied by an object after we apply some force to it
This is explained in the Newton's Third Law of Motion, which says: "For every action, there is an equal and opposite reaction"
This means that any force we apply on an object, it applies the same force on us
Reaction Force exerted by the ball:
We now know what a reaction force is. Now looking at the scenario, we can see that the player applied a force of 1000N on the ball using his bat
The ball will also apply an equal and opposite force on the Bat,
So, the ball will apply a force of 1000N on the Bat
Therefore, Option C is correct
A stone is released from rest from a height of 60 m. How long does it take to hit the ground?
4.4 s
2.3 s
5.2 s
3.5 s
Answer:
3.5 s
Explanation:
Given
[tex]Initial\ Velocity (u) = 0m/s[/tex] --- because it starts from rest
[tex]Height\ (S) = 60\ m[/tex]
Required
Determine time (t) to hit the ground
This can be solved using the following motion equation
[tex]S = ut + \frac{1}{2}gt^2[/tex]
Substitute values for S and u and take g as 9.8m/s^2
[tex]60 = 0 * t + \frac{1}{2} * 9.8 * t^2[/tex]
[tex]60 = 0 + \frac{1}{2} * 9.8 * t^2[/tex]
[tex]60 = \frac{1}{2} * 9.8 * t^2[/tex]
Multiply through by 2
[tex]2 * 60 = 2 * \frac{1}{2} * 9.8 * t^2[/tex]
[tex]120 = 9.8 * t^2[/tex]
Solve for t^2
[tex]t^2 = \frac{120}{9.8}[/tex]
[tex]t^2 = 12.2448979592[/tex]
Take square roots
[tex]t = \sqrt{12.2448979592[/tex]
[tex]t = 3.49927106112[/tex]
[tex]t=3.5\ s[/tex] ---- approximated
It would take a stone released from a height of 60m, 3.5s to hit the ground.
EQUATION OF MOTION:
The time taken for a stone of height 60m to hit the ground can be calculated by using the following formula of motion:S = ut + ½at²Where;
S = distance (m)u = initial velocity (m/s)t = time a = acceleration due to gravity (9.8m/s²)Since the stone is released from rest, it would have a initial velocity of 0m/s. 60 = (0×t) + ½ × 9.8 × t²60 = 4.9t²t² = 60 ÷ 4.9t² = 12.24t = √12.24t = 3.5sTherefore, it would take a stone released from a height of 60m, 3.5s to hit the ground.Learn more at: https://brainly.com/question/13883874?referrer=searchResults
What is acceleration
[tex]{\tt{\red{\underline{\underline{\huge{Answer:}}}}}}[/tex]
[tex]\longrightarrow[/tex] The rate of change of velocity per unit time is called acceleration.
[tex]\longrightarrow[/tex] Its SI unit is m/s².
[tex]\huge\boxed{\fcolorbox{blue}{red}{Thank you}} [/tex]
The objective lens and the eyepiece of a telescope are spaced 85 cm apart. If the eyepiece is123 D what is the total magnification of the telescope?
Answer:
The magnification would be "103.55". A further explanation is given below.
Explanation:
The given values are:
Distance between lens and eyepiece,
L = 85 cm
Eyepiece is,
= 123 D
Now,
The refractive power of eye piece will be:
⇒ [tex]\frac{1}{f_e}=123D[/tex]
[tex]f_e=\frac{1}{123D}[/tex]
[tex]f_e=0.813 \ cm[/tex]
The length of the telescope will be:
⇒ [tex]L=f_0+f_e[/tex]
⇒ [tex]f_0=L-f_e[/tex]
On substituting the values, we get
⇒ [tex]=85-0.813[/tex]
⇒ [tex]=84.187 \ cm[/tex]
Now,
The magnification of the telescope will be:
⇒ [tex]M=\frac{f_0}{f_e}[/tex]
⇒ [tex]=\frac{84.187}{0.813}[/tex]
⇒ [tex]=103.55[/tex]