The magnitude of the electric force that one particle exerts on the other is 8.59 x [tex]10^{-8}[/tex] N and the force is attractive.
How is Coulomb's Law Stated ?Coulomb law states that the attractive or repulsive force between two point charges is proportional to the product of the charges and inversely proportional to square of the distance between them. That is,
F = KQq / r²
Given that two charged particles are a distance of 1.72 m from each other. One of the particles has a charge of 7.03 nC, and the other has a charge of 4.02 nC.
Where
K = constant of proportionality = 9 x [tex]10^{9}[/tex] Nm²/c²Q = 7.03 x [tex]10^{-9}[/tex] Cq = 4.02 x [tex]10^{-9}[/tex] Cr = 1.72 m(A) The magnitude of the electric force that one particle exerts on the other will be
F = (9 x [tex]10^{9}[/tex] x 7.03 x [tex]10^{-9}[/tex] x 4.02 x [tex]10^{-9}[/tex]) / 1.72²
F = 2.54 x [tex]10^{-7}[/tex] / 2.96
F = 8.59 x [tex]10^{-8}[/tex] N
(B) Since our answer is positive, the force is therefore attractive.
Therefore, the magnitude of the electric force that one particle exerts on the other is 8.59 x [tex]10^{-8}[/tex] N and the force is attractive.
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A. The magnitude (in N) of the electric force that one particle exerts on the other is 8.60×10⁻⁸ N
B. The force is repulsive
A. How to determine the magnitude of the electric forceFrom the question given above, the following data were obtained:
Charge 1 (q₁) = 7.03 nC = 7.03×10¯⁹ CCharge 2 (q₂) = 4.02 nC = 4.02×10¯⁹ CElectric constant (K) = 9×10⁹ Nm²/C²Distance apart (r) = 1.72 mForce (F) =?The magnitude of the electric force can be obtained by using the Coulomb's law equation as shown below:
F = Kq₁q₂ / r²
F = (9×10⁹ × 7.03×10¯⁹ × 4.02×10¯⁹) / (1.72)²
F = 8.60×10⁻⁸ N
B. How to determine whether the force is attractive or repulsiveFrom the question given, we were told that:
Charge 1 (q₁) = 7.03 nC Charge 2 (q₂) = 4.02 nCSince both charge are positive, then the force attraction between them is repulsive as like charges repels and unlike charges attracts
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A steel piano wire, of length 1.150 m and mass 4.80 g is stretched under a tension of 580.0 N. What is the speed of transverse waves on the wire?
The speed of transverse waves on the wire is 1.555.
Given: Length= 1.150 m
Mass= 4.80 g
Speed =mass/length
U=M/L formula
U=1.150 *10^(-3)/4.80
v=√t/u
v=√580*4.80/1.150*10^(-3)=1.555
1.555
The derivative of the displacement with respect to time gives the transverse velocity in the y direction, as velocity is the rate of change of position: Where k = 2/ is referred to as the wave number and = 2f as before, v(x,t) = y(x,t)/t = -A cos (k x - t + ).The linear density and tension v=FT can be used to determine the wave's speed. v = F T μ . According to the equation v=FT, v = F T, the tension would need to be increased by a factor of 20 if the linear density were to be doubled by almost as much.
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Which of the following phrases describes power?
A. How much energy is lost in friction
B. How much energy is lost in heat
OC. The rate energy is consumed
OD. The rate an object is moving
The rate energy is consumed this statement describes power.
Hence, Option C is correct answer.
How can we understand that this statement can describe power?Power is related to energy by that it is the rate at which energy is transferred.
What is Power ?It is a measure of the rate at which work is done.
According to the definition of power, Power is the amount of energy transferred or converted or consumed per unit time.
SI unit of power is watt.
By definition, 1 watt is equal to one joule of work done per second. So if P represents power in watts, E is the change in energy (number of joules) and t is the time taken in seconds then:
P=[tex]\frac{E}{t}[/tex]= [tex]\frac{1 Joule}{1 Second}[/tex]= 1 Watt.
Thus from the above conclusion we can say that, The rate energy is consumed describes power.
Hence, Option C is correct answer
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Friction typically __________ objects. A. Speeds up B. Slows down C. Doesn't affect D. Destroys
Answer:
B
Explanation:
friction opposes motion
Friction typically Slows down objects
Option "B"How does friction affect speed?Friction and Speed
While this is almost true for a wide range of low speeds, as speed increases and air friction is reckoned with, it has been found that friction depends not only on speed, but also on speed squared and sometimes on higher powers of friction. speed.
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Nina is doing a workout where she runs at 50% speed for 3 minutes, 75% speed for 2 minutes, and 100% speed for 30 seconds. This is an example of
a. Specificity training
b. Overload training
c. Circuit training
d. Interval training
An electron is ejected from the cathode by a photon with an energy slightly greater than the work function of the cathode. How will the final kinetic energy of the electron upon reaching the anode compare to its initial potential energy immediately after it has been ejected?.
The kinetic energy of the ejected electron (photoelectron) is equal to the energy of the photon minus the work function (E required to eject the photoelectron).
The process of final kinetic energy of the electron upon reaching the anode compare to its initial potential energy immediately after it has been ejected -
The electron has a lot of potential energy and very little kinetic energy when it is liberated from the cathode (as it is not moving yet or moving very slowly). We are currently on the left side of the picture above. The electron accelerates and speeds up as it goes away from the cathode and toward the anode. As a result, the kinetic energy rises.The electron is likely to have the highest kinetic energy and the lowest potential energy when it reaches the anode.Therefore, the kinetic energy at the end of the electron's journey is approximately equal as the potential energy at the beginning (when the electron was released).Learn more about kinetic energy
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(a) Convert 46.0° to radians.
_______ rad
(b) Convert 17.0 rad to revolutions.
________ rev
(c) Convert 79.5 rpm to rad/s.
__________ rad/s
The answers are :
(a) 23π/90 radians ≈ 0.803 radians
(b) 17/2π revolutions ≈ 2.706 revolutions
(c) 79.5/60 rad/s = 13.25 rad/s
*The important formulas to remember*
Degrees to Radians[tex]\boxed {Radian = Degree \times \frac{\pi}{180^{o}}}[/tex]
2. Radians to Revolutions
[tex]\boxed {Revolution = \frac{Radian}{2\pi}}[/tex]
3. rpm to rad/s
[tex]\boxed {rad/s = \frac{rpm}{60}}[/tex]
In the hydrogen atom, which electronic transition corresponds to the largest energy emission?
In hydrogen atom the electronic transition from n= ∞ to n=1 corresponds to largest energy emission.
What is electronic transition ?Electronic transition is the jump of an electron from one energy level to another energy level .
Which electronic transition in Hydrogen atom corresponds to highest energy emission?The fromula for energy emission isE = hc/λ
where E= emited energyh= plank constant =6.62*10^(-34)
c=speed of light
λ= wavelength of emited electron .
The electronic transition from infinity to ground state corresponds to lowest wavelength .Thus , we can conclude that the electronic transition from infinity to n=1 (ground state) corresponds to largest energy emission .
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method to separate the .
sand+iron fillings
Answer:
by using a magnetic field
Use a magnet to attract the iron fillings from the sand!
Hope this helps!
A coin is placed next to the convex side of a thin spherical glass shell having a radius of curvature of 17.0 cm. Reflection from the surface of the shell forms an image of the 1.5-cm-tall coin that is 6.50 cm behind the glass shell.
a) Where is the coin located?
b) Determine the size of the image.
(a) The position of the coin placed next to the convex side of a thin spherical glass shell is 3.68 cm.
(b) The size of the image is 1.8.
Position of the coinThe position of the coin placed next to the convex side of a thin spherical glass shell is calculated as follows;
1/d = 1/f - 1/d'
where;
d' is the position of the coin's imaged position of the coinf is focal lengthFocal length = r/2 = 17 cm / 2 = 8.5 cm
1/d = 1/8.5 - (-1/6.5)
1/d = 1/8.5 + 1/6.5
1/d = 0.1176 + 0.1538
1/d = 0.2714
d = 1/0.2714
d = 3.68 cm
Size of the imageMagnification, M = d'/d
M = (6.5)/(3.68)
M = 1.8
Thus, the position of the coin placed next to the convex side of a thin spherical glass shell is 3.68 cm.
The size of the image is 1.8.
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a bus come to rest if the acceleration is 4m/s² find the distance travelled
Answer:
One needs to know the initial speed of the bus to find distance traveled.
The cricket ball has a mass of 0.16kg and it hits the bat with a speed of 25 m/s. After being in contact with the bat for 0.0013 s, the ball rebounds with a speed of 22 m/s in the direction exactly opposite to its original direction.
A) state the difference between speed and velocity
B) calculate.
I) the change in velocity of the cricket ball
Ii) the average acceleration of the ball whilst it is in contact with tge bat
Iii) the average force exerted on the ball by the bat
change in velocity is 3m/s,the force exterted by bat on ball is 4.8N and the acceleration is 30m/s².
Give some difference between velocity and speed.1) Speed is scalar quantity but velocity is vector quantity.
2) Speed is distance followed by an individual with respect to time and velocity is displacement with respect to time .
1) final velocity- intial velocity
25-22= 3m/s
2) The force is
F= ma
. 0.16×30= 4.8N
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What is an example of total internal reflection at work?
A.
A ray of light has the same intensity both entering and exiting a fiber optic cable.
B.
A ray of light entering a glass cube gets refracted.
C.
A ray of light in air hits a shiny surface and bounces off.
D.
A ray of light entering a ruby gets refracted.
[tex]\huge\underline{\underline{\boxed{{ \mathbb{SOLUTION:}}}}}[/tex]
[tex]\leadsto[/tex] Total internal reflection occurs when a ray of light is traveling through a medium and, when that medium changes, it does not refract into the second medium but instead it reflects back into the first medium.
By Snell's law, we know that
[tex]\longrightarrow \sf{n_1 sin \emptyset_1 = n_2 sin \emptyset_2}[/tex]
If this happens, then [tex]\sf{n_2 \angle n_1}[/tex], and the ray does not lose intensity due to refraction.
[tex]\huge\underline{\underline{\boxed{\mathbb{ANSWER:}}}}[/tex]
[tex]\large \bm{ A.}[/tex] A ray of light has the same intensity both entering and exiting a fiber optic cable.
According to current evidence, what happens when gays or lesbians rear a child?
a. the child is more likely than average to develop depression or anxiety disorders.
O b. the child develops about the same as other children.
O c. the child is more likely than average to become gay or lesbian.
O d. the child does poorly in school.
Answer: The answer is A.
Explanation:
Just because u have gay parents doesnt mean theyre bad lol XD
which element has more than 5 valency
Answer:
Sulfur (Has six valence electrons). It has maximum valency due to belonging to VI groups of the Periodic Table.
Explanation:
The electrons found in an element's outermost atomic shell are known as valence electrons.
Sulfur, which has an atomic number of 16, has an electrical configuration of 2, 8, 6, meaning it has six electrons in its outermost shell. As a result, its valence electrons will also be six.
However, in its natural condition, sulfur exists as the S8 molecule, which has the classic chair structure where each sulfur atom is covalently connected to two other sulfur atoms. In that sense, there will be 8 valence electrons.
Consequently, the answer will be 6 if you're asking about the "sulphur atom," but 8 if you're talking about sulfur in general.
Thank you ,
Eddie
What is the equation for the enthalpy of vaporization?
A. Q = m*Lv
B. Q = m/Lv
C. Q = 1/m*Lv
D. Q = Lv/m
Answer:
A: Q = m*Lv
Explanation:
The equation formula for the enthalpy of vaporization is;
Q = m*ΔHv
Where;
q = heat energy
m = mass
ΔHv = heat of vaporization
Cathode ray tubes (CRTs) used in old-style televisions have been replaced by modern LCD and LED screens. Part of the CRT included a set of accelerating plates separated by a distance of about 1.52 cm. If the potential difference across the plates was 24.0 kV, find the magnitude of the electric field (in V/m) in the region between the plates.
________V/m
The electric filed in V/m is 1.58 * 10^6 V/m
What is the electric field?We know that the electric field is obtained as the ratio of the voltage to the distance that separates the plates.
Thus;
E = V/d
E = electric field
V = voltage
d = distance of separation
E = 24 * 10^3 V/1.52 * 10^-2 m
E = 1.58 * 10^6 V/m
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The object that ends up with less electrons has a __________ charge.
A. Positive
B. Not enough info
C. Neutral
D. Negative
Reset Selection
The object that ends up with less electrons has a positive charge; option A.
What are electrons?Electrons are negatively charged particles which form a part of the three fundamental particles in an atom.
Electrons can easily be removed from the vicinity of atoms making the atom to become positively charged. On the other hand, when atoms gain extra electrons, they become negatively-charged.
On way of charging objects is by rubbing them against other objects in order to gain extra electrons or to lose electrons.
When two objects are rubbed together, the object that ends up with less electrons has a positive charge, whereas the object that ends up with more electrons has a negative charge.
In conclusion, objects can become charged when they are rubbed against each other, and they can either become negatively or positively-charged by gain or loss of electrons.
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The object indicated here that ends up with fewer electrons has an unknown charge (not enough info, Option B).
What does atomic charge mean?The atomic charge makes reference to the overall charge of an atom, which can be evidenced by knowing its net charge (positive or negative charge).
The net charge of a molecule and/or atom is obtained by calculating the amount of electrically negative electrons (e-) and the number of positive protons.
Neutrons are another type of subatomic particle that have not net charge (neither positive nor negative).
In conclusion, the object indicated here that ends up with fewer electrons has an unknown charge (not enough info, Option B).
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Show that time period of revolution an electron beam in uniform magnetic field is independent of velocity and radius of path
Since T = 2πm/Be the period of revolution of the electron is independent of velocity and radius of path
How to show that time period of revolution an electron beam in uniform magnetic field is independent of velocity and radius of path?For an electron moving in a uniform magnetic field, the force on the electron is given by
F = Bev where
B = magnetic field, e = electron charge and v = speed of electronAlso, this magnetic force equals the centripetal force on the electron, F'
F' = mv²/r where
m = mass of electron, v = speed of electron and r = radius of pathSince both forces are equal,
F = F'
Bev = mv²/r
Be = mv/r
We know that angular speed, ω = v/r. So,
Be = mω
Also, angular speed, ω = 2π/T where T = period of revolution of electron
So, Be = m2π/T
Making T subject of the formula, we have
T = 2πm/Be
so, since T = 2πm/Be the period of revolution of the electron is independent of velocity and radius of path
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What is the gravitational acceleration on the board of the Deepsea Challenger when it is in the Mariana Trench, 11 km below the surface of the Pacific Ocean?
a. It is slightly less than 9.81 m/s2.
b. It is very large due to the high pressure.
c. It is zero.
d. It is significantly less than 9.81 m/s2.
The gravitational acceleration on the board of the Deepsea Challenger when it is in the Mariana Trench, 11 km below the surface of the Pacific Ocean is very large due to the high pressure. That is option B
What is gravitational acceleration?The gravitational acceleration is the acceleration of an object that is under free fall. The acceleration due to gravity is 9.81 m/s2. above the sea level.
One of the factors that affect gravitational acceleration is depth. This is because as the depth increases so will pressure increase.
Increase in pressure leads to increase in gravitational acceleration.
Therefore, the gravitational acceleration on the board of the Deepsea Challenger when it is in the Mariana Trench, 11 km below the surface of the Pacific Ocean is very large due to the high pressure.
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NASA wants a satellite to revolve around Earth 3 times a day. What should be the radius of its orbit if we neglect the presence of the Moon? (G = 6.67 × 10-11 N ∙ m2/kg2, Mearth = 5.97 × 1024 kg)
Answer:
Approximately [tex]2.03 \times 10^{7}\; {\rm m}[/tex].
Explanation:
Assume that the radius of this orbit is [tex]r[/tex].
Let [tex]m[/tex] denote the mass of this satellite and let [tex]M[/tex] denote the mass of the Earth. At a distance of [tex]r[/tex] from the center of the earth, the magnitude of the gravitational attraction on this satellite would be [tex]G\, m\, M / (r^{2})[/tex].
The question implies that the gravitational pull from the earth is the only significant force on this satellite. Hence, the net force on this satellite would be also [tex]G\, m\, M / (r^{2})[/tex].
The acceleration of this satellite would thus be [tex]a = (\text{net force}) / (\text{mass}) = G\, M / (r^{2})[/tex].
Let [tex]\omega[/tex] denote the angular velocity of this satellite. Since this satellite in in a circular motion, the acceleration on this satellite would need to satisfy [tex]a = \omega^{2} \, r[/tex].
In other words:
[tex]\begin{aligned} \frac{G\, M}{r^{2}} = a = \omega^{2} \, r \end{aligned}[/tex].
[tex]\begin{aligned} r &= \left(\frac{G\, M}{\omega^{2}}\right)^{1/3}\end{aligned}[/tex].
The question asks for a rotation of [tex]3\times (2\, \pi) = 6\, \pi\; {\text{rad}}[/tex] within a day, which is [tex]24 \times 3600\; {\rm s}[/tex]. The angular velocity of this satellite should be:
[tex]\begin{aligned}\omega = \frac{6\, \pi}{24 \times 3600\; {\rm s}} \end{aligned}[/tex].
Substitute this value into the expression for [tex]r[/tex] and evaluate:
[tex]\begin{aligned} r &= \left(\frac{G\, M}{\omega^{2}}\right)^{1/3} \\ &= \left(\frac{(6.67 \times 10^{-11}\; {\rm N \cdot m^{2} \cdot kg^{-2}}) \times (5.97 \times 10^{24}\; {\rm kg})}{((6\, \pi) / (24 \times 3600\; {\rm s}))^{2}}\right)^{1/3} \\ &\approx 2.03 \times 10^{7}\; {\rm m}\end{aligned}[/tex].
(Note that [tex]1\; {\rm N} = 1\; {\rm kg \cdot m \cdot s^{-2}}[/tex].)
If a person walks first 70 m in the direction 37° north of east, and then walks 82 m in the
direction 20° south of east, and finally walks 28 m in the direction 30° west of north.(2pt)
a) How far and at what angle is the Aster's final position from her initial position?
b) In what direction would she has to head to return to her initial position
Aster's final position from her initial position is 63 m approximately. She will head north west direction to return to her initial position
What is Displacement ?Displacement is the distance travelled in a specific direction. It is a vector quantity.
Given that a person walks first 70 m in the direction 37° north of east, and then walks 82 m in the direction 20° south of east, and finally walks 28 m in the direction 30° west of north.
a) Let P be the Aster's final position from her initial position?
We can use bearing by using Cosine formula to solve this question.
P² = 70² + 82² - 2 × 70 × 82 cos 73
P² = 4900 + 6724 - 11480 cos 73
P² = 11624 - 3356.43
P² = 8267.57
P = √8267.57
P = 90.9 m
P = 90.9 - 28
P = 62.9 m
We can get the angle by using Sine rule
82/ sin Ф = 90.9 / sin 73
sin Ф = 0.8627
Ф = [tex]Sin^{-1}[/tex] (0.8627)
Ф = 59.6°
Ф = 60°
b) She will head north west direction to return to her initial position
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Maya made this picture to represent a chemical reaction:
Which of the following statements best explains the type of chemical reaction represented by Maya's picture?
A. It is neither a synthesis reaction nor a decomposition reaction because the total mass of the products is less than the total mass of the reactants.
B. It is neither a synthesis reaction nor a decomposition reaction because two reactants form two products.
C.It represents a synthesis reaction because the same atoms are present in the reactants and products.
D. It represents a decomposition reaction because two reactants break apart and form two products.
The statement that best explains the type of chemical reaction represented by Maya's picture is that it is neither a synthesis reaction nor a decomposition reaction because two reactants form two products. That is option B.
What is a chemical reaction?A chemical reaction is the combination of two elements to yield a new product through the formation of bonds.
A chemical reaction is said to be a synthesis reaction when when two different atoms or molecules interact to form a different molecule or compound.
A chemical reaction is said to be a decomposition reaction when one reactant breaks down into two or more products.
Therefore, from the picture, the chemical reaction is neither a synthesis reaction nor a decomposition reaction because two reactants form two products.
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A 2.0-kg projectile is fired with initial velocity components v0x = 30 m/s and v0y = 40 m/s from a point on the Earth's surface. Neglect any effects due to air resistance.
a) What is the kinetic energy of the projectile when it reaches the highest point in its trajectory?
b) How much work was done in firing the projectile?
Answer:
Kinetic energy of the projectile at the vertex of the trajectory: [tex]900\; {\rm J}[/tex].
Work done when firing this projectile: [tex]2500\; {\rm J}[/tex].
Explanation:
Since the drag on this projectile is negligible, the horizontal velocity [tex]v_{x}[/tex] of this projectile would stay the same (at [tex]30\; {\rm m\cdot s^{-1}}[/tex]) throughout the flight.
The vertical velocity [tex]v_{y}[/tex] of this projectile would be [tex]0\; {\rm m\cdot s^{-1}}[/tex] at the vertex (highest point) of its trajectory. (Otherwise, if [tex]v_{y} > 0[/tex], this projectile would continue moving up and reach an even higher point. If [tex]v_{y} < 0[/tex], the projectile would be moving downwards, meaning that its previous location was higher than the current one.)
Overall, the velocity of this projectile would be [tex]v = 30\; {\rm m\cdot s^{-1}}\![/tex] when it is at the top of the trajectory. The kinetic energy [tex]\text{KE}[/tex] of this projectile (mass [tex]m = 2.0\; {\rm kg}[/tex]) at the vertex of its trajectory would be:
[tex]\begin{aligned} \text{KE} &= \frac{1}{2}\, m\, v^{2} \\ &= \frac{1}{2} \times 2.0\; {\rm kg} \times (30\; {\rm m\cdot s^{-1}})^{2} \\ &= 900\; {\rm J} \end{aligned}[/tex].
Apply the Pythagorean Theorem to find the initial speed of this projectile:
[tex]\begin{aligned}v &= \sqrt{(v_{x})^{2} + (v_{y})^{2}} \\ &= \left(\sqrt{900 + 1600}\right)\; {\rm m\cdot s^{-1}} \\ &= 50\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
Hence, the initial kinetic energy [tex]\text{KE}[/tex] of this projectile would be:
[tex]\begin{aligned} \text{KE} &= \frac{1}{2}\, m\, v^{2} \\ &= \frac{1}{2} \times 2.0\; {\rm kg} \times (50\; {\rm m\cdot s^{-1}})^{2} \\ &=2500\; {\rm J} \end{aligned}[/tex].
All that energy was from the work done in launching this projectile. Hence, the (useful) work done in launching this projectile would be [tex]2500\; {\rm J}[/tex].
. An aeroplane takes 30 min to travel from Biratnagar to Kathmandu. If the air distance between
the Biratnagar and Kathmandu is 450 km. Find the average velocity of the plane.
Answer:
average velocity = [tex]\bf 900 \space\ km/h[/tex]
Explanation:
We can find the average velocity using the following equation:
[tex]\boxed{average \space\ velocity = \frac{total \space\ distance \space\ travelled}{ \space\ time \space\ taken}}[/tex] .
In this case:
• total distance travelled = 450 km
• time taken = 30 min = 0.5 h
Substituting these values into the equation:
[tex]average \space\ velocity = \frac{450 \space\ km }{ 0.5 \space\ h}[/tex]
⇒ [tex]\bf 900 \space\ km/h[/tex]
Please help with this question, step by step
Thank you!
From the calculation, the force constant is 192 N. Also, friction would decrease the extension.
What is the force constant?We know that the force constant can be obtained by the use of the relation;
F = Ke
F = applied force
K = force constant
e = extension
We know from Hooks law that the force applied is directly proportional to the extension.
We can write;
F = mgcosθ
F = 43 Kg * 9.8 m/s^2 * sin31°
F = 217 N
K = 217 N/1.13 m
K = 192 N/m
If there is friction between the incline and the crate, it will stretch less because some work will be lost due to friction causing only some fraction of the elastic potential energy to be converted to kinetic energy.
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Complete the following:
When light is incident through the focal point, and then strikes a mirror, ___
the light will reflect parallel to the principal axis
the light will reflect back through the focal point
the light will not reflect at all
Answer:
the light will reflect parallel to the principal axis
(refer to photo attached) Determine the electric field strength at a point 1.00 cm to the left of the middle charge shown in the figure below. (Enter the magnitude of the electric field only.) _____N/C
If a charge of −4.72 µC is placed at this point, what are the magnitude and direction of the force on it? Magnitude _______N
Direction?
- toward the left
- upward
-downward
- toward the right
The electric field strength at a point 1.00 cm to the left of the middle is -2.0 x 10⁷ N/C.
The magnitude of the force is 94.4 N and direction of the force on it towards the right.
Electric field strengthThe electric field strength at a point 1.00 cm to the left of the middle is calculated as follows;
E = kq/r²
Electric field due to first charge
E1 = (9 x 10⁹ x 6 x 10⁻⁶)/(0.02)²
E1 = 1.35 x 10⁸ N/C
Electric field due to second charge
E2 = -(9 x 10⁹ x 1.5 x 10⁻⁶)/(0.01)²
E2 = - 1.35 x 10⁸ N/C
Electric field due to third charge
E3 = - (9 x 10⁹ x 2 x 10⁻⁶)/(0.03)²
E3 = -2.0 x 10⁷ N/C
Net electric fieldE = E1 + E2 + E3
E = +1.35 x 10⁸ N/C - 1.35 x 10⁸ N/C - -2.0 x 10⁷ N/C
E = -2.0 x 10⁷ N/C
Force on the charge −4.72 µCF = Eq
F = - 2.0 x 10⁷ x -4.72 x 10⁻⁶
F = 94.4 N
Thus, the direction of the force will be towards the right.
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PLEASE HELP!!!!
Compared to driving at 20 mph, about how much longer will it take for you to stop at 60 mph?
about nine times as far
about six times as far
about twice as far
Answer:
The braking distance would be about nine times as long (assuming that acceleration during braking stays the same.)
Explanation:
Let [tex]u[/tex] denote the initial velocity of the vehicle ([tex]20\; \text{mph}[/tex] or [tex]60\; \text{mph}[/tex]) and let [tex]v[/tex] denote the velocity of the vehicle after braking ([tex]0\; \text{mph}[/tex]). Let [tex]x[/tex] denote the braking distance.
Assume that the acceleration during braking are both constantly [tex]a[/tex] in both scenarios. The SUVAT equations would apply. In particular:
[tex]\begin{aligned} x &= \frac{v^{2} - u^{2}}{2\, a}\end{aligned}[/tex].
Since [tex]v = 0[/tex] (the vehicle has completely stopped), the equation becomes [tex]x = (-u^{2}) / (2\, a)[/tex].
Assuming that [tex]a[/tex] (braking acceleration) stays the same, the braking distance [tex]x[/tex] would be proportional to [tex]u^{2}[/tex], the square of the initial velocity.
Hence, increasing the initial speed from [tex]20\; \text{mph}[/tex] to [tex]60\; \text{mph}[/tex] would increase the braking distance by a factor of [tex]3^{2} = 9[/tex].
Answer:
9 times
Explanation:
What is meant by constructive interference?
A. Waves combine and their amplitude decreases
B. Waves do not combine and their amplitude decreases
C. Waves do not combine and their amplitude increases
D. Waves combine and their amplitude increases
Answer:
D. Waves combine and their amplitude increases
Explanation:
amplitude is the height of the wave in a graph
constructive interference happens when two waves are lined up perfectly
example when two speakers playing same music while facing each other, music will appear louder
Destructive interference happens when the peaks match the valleys and they cancel perfectly
like with noise cancelling headphones
during constructive interference, waves collide in phase
in phase means add together making the height of the wave in a graph bigger (amplitude increases)
Example: When we see two speakers right next to each other, we can experience constructive interference when the distance from each speaker to the observer is the same
two waves destructively interfere, they must have the same amplitude in opposite directions
quizlet
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byjus
chegg
2. Two particles P and Q are shot vertically up. T
Particle P is first up with a velocity 40ms-¹. After
4s, particle Q is also shot up. Find 01 -
(a) where the two particles meet, if at the point of
meeting, P has velocity of 15ms™¹.
(b) the velocity with which Q is shot. (g = 10ms-²)
(000)(9)
Free Fall under gravity and time of meeting is used to find out the required answer.
∴ Let us assume, the upward direction to be positive and and downward direction to be negative.
Given, Velocity of P, = 40m/s
Distance travelled by P,
∴Using First Equation of motion for particle P,
v = u + at
⇒ 0 = 40 + (-10)t
⇒ t = 4s ; which is the time taken by P to rise up
Now, Maximum Height(s) reached by particle P,
∴Using second equation of motion,
s = ut + 1/2at²
⇒ s = 40×4 + 1/2 × (-10) × 4²
⇒ s = 80m
a) Particle P is falling when Q is shot up after 4s from the initial time
∴ Using third equation of motion using Free Fall under Gravity,
V² = U² + 2aH₁
⇒ H₁ = 15² - 0/ 2(-10)
⇒ H₁ = 11.25m
Hence, Particle P and Q meet at a distance (H₂) from ground,
∴ Height, H₂ = s - H
⇒ H₂ = 80 - 11.25 = 68.75m
Hence, Particle P and Q meet at a distance of 68.75m from ground.
∴ Using First equation of motion for Particle P using the Time of Meeting,
v = u + at₁
⇒ 15 = 0 + (-10) t₁
⇒ t₁ = 1.5s ; which is equal to the fall time of P and Rise time of Q
b) For particle Q
∴ Using second equation of motion,
H₂ = u₂t₁ + 1/2at₁
⇒ 11.25 = u₂ × 1.5 + 1/2 (-10) × 1.5
⇒ u₂ = 15 m/s
Hence, the Velocity with which Particle Q was shot is 15m/s in the upward direction.
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