Answer:
Isaac is one of the three patriarchs of the Israelites and is an important figure in the Abrahamic religions, including Judaism, Christianity, and Islam. Isaac's name means "he will laugh", reflecting the laughter, in disbelief, of Abraham and Sarah, when told by God that they would have a child.Hope this helps !!Explanation:
Itz Deepika Here to help ~ .
Note:- If you have more questions then let me know !!
What is the mass of an object that requires a force of 182 N to accelerate at a rate of 13 m/s?
Answer:
\(m=14kg\)
Explanation:
Hello.
In this case, since the force is defined in terms of the mass and acceleration by:
\(F=m*a\)
We can easily compute the mass by solving for it:
\(m=\frac{F}{a}\)
Whereas the force is 182 N (kg*m/s²) and the acceleration is 13 m/s², therefore, we obtain:
\(m=\frac{182kg\frac{m}{s^2} }{13\frac{m}{s^2}}\\\\m=14kg\)
Best regards.
A certain electric dipole consists of charges + and − separated by distance , oriented along the -axis as shown in the figure. Find an expression for the magnitude of the electric field of the dipole at a point far away in the -direction, a distance away from the midpoint of the dipole. Assume that is much greater than . Enter your answer in terms of , , , and 0.
I've seen other questions like this but the answers are coming back as incorrect or they have it with k included. Please help!
The magnitude of the electric field of the dipole at a point far away in the -direction, a distance away from the midpoint of the dipole is given by
|E| = |-(p * k) / r^3|
What is magnitude of the electric field?Generally, The electric field of an electric dipole at a point far away from the midpoint of the dipole is given by the following expression:
E = (p * k) / r^3 * (3 *cos(theta) * i^ + sin(theta) * j^)
where:
p is the magnitude of the dipole moment, equal to q * d (q is the charge and d is the distance between the charges)
k is the Coulomb constant (9 x 10^9 N * m^2/C^2)
r is the distance from the dipole to the point where the electric field
is being calculated theta is the angle between the vector pointing from the dipole to the point where the electric field is being calculated and the dipole moment vector (in this case, the -axis) i^ and j^ are the unit vectors in the x and y directions, respectively.
Since the dipole is oriented along the -axis and the point where the electric field is being calculated is far away in the -direction,
theta = pi and the expression for the electric field becomes:
E = (p * k) / r^3 * (3 *cos(pi) * i^ + sin(pi) * j^)
E = -(p * k) / r^3 * (i^)
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calculate the percentage contraction of a rod moving with a velocity of 0.8c in a direction inclined at 60° to its own length
Answer:
Let lo be the length of the rod in the frame in which it is at rest and s' is the frame which is moving with a speed 0.8c in a direction making an angle 60° with x-axis. The components of lo along and perpendicular to the direction of motion are lo cos 60° and lo sin 60° respectively.
Now length of the rod along the direction of motion
= lo cos 60°_/1-(0.8) 2/c2
= lo/2×0.6
= 0.3 lo.
Length of the rod perpendicular to the direction of motion.
= lo sin 60°
=_/3/2 lo
Length of moving rod
l = [(0.3lo)2+{lo_/3/2} 2] 1/2
= 0.916 lo.
Percentage contraction
= lo-0.916lo/lo×100
= 8.4%.
Explanation:
Brainliest?what is a crystal as applied in physics
Answer:
The correct answer is - A matter that has an ordered arrangement of atoms, molecules, or ions.
Explanation:
In physics, a crystal is a type of solid matter in which a highly arranged molecule or atoms present to form a lattice that extended in all directions. It is a lightweight clear solid which is normally is colorless.
It can be cubic, hexagonal, triclinic, monoclinic, orthorhombic, tetragonal, and trigonal that are ordered arrangments. Its internal symmetry is visible to its surface.
Explain the light detection technique of photovoltaic detection
Answer:
Photovoltaic detection is a technique that converts light into electrical energy. It is a process that involves the use of a photovoltaic cell, which is made up of semiconductor materials, to generate an electric current when exposed to light.
The photovoltaic cell absorbs the photons of light, which then knock electrons out of their orbits, creating a flow of electricity. The amount of electricity produced is proportional to the intensity of the light. The photovoltaic cell is commonly used in solar panels to generate electricity from sunlight. The efficiency of the photovoltaic cell is dependent on several factors, including the type of semiconductor material used, the purity of the material, and the thickness of the cell.
The photovoltaic cell has many applications, including in solar power generation, telecommunications, and remote sensing. The technique of photovoltaic detection is an important area of research, as it has the potential to provide a clean and renewable source of energy that can help mitigate climate change.
Learn more about Photovoltaic detection
6. How do the data support your claim above? Explain your statement above. Be sure to refer to specific pieces of data from your experiment that support your argument.
Answer:
hope this will help
Explanation:
if your title doesn't have enough information, make a list of the key words ... If you are not sure what should be included in each summary sentence, use ... Often you can present the hypothesis and the supporting reasoning in one paragraph. ... Describe specific parts of the procedure or data that contributed to your learning.
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Can someone explain how to do the algebra for this question? I know everything else, I just don’t know how to rearrange the question to solve for v.
Answer:
Refer to the step-by-step Explanation.
Step-by-step Explanation:
Simplify the equation with given substitutions,
Given Equation:
\(mgh+(1/2)mv^2+(1/2)I \omega^2=(1/2)mv_{_{0}}^2+(1/2)I \omega_{_{0}}^2\)
Given Substitutions:
\(\omega=v/R\\\\ \omega_{_{0}}=v_{_{0}}/R\\\\\ I=(2/5)mR^2\)\(\hrulefill\)
Start by substituting in the appropriate values: \(mgh+(1/2)mv^2+(1/2)I \omega^2=(1/2)mv_{_{0}}^2+(1/2)I \omega_{_{0}}^2 \\\\\\\\\Longrightarrow mgh+(1/2)mv^2+(1/2)\bold{[(2/5)mR^2]} \bold{[v/R]}^2=(1/2)mv_{_{0}}^2+(1/2)\bold{[(2/5)mR^2]}\bold{[v_{_{0}}/R]}^2\)
Adjusting the equation so it easier to work with.\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2=\dfrac12mv_{_{0}}^2+\dfrac12\Big[\dfrac25mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\)
\(\hrulefill\)
Simplifying the left-hand side of the equation:
\(mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\)
Simplifying the third term.
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2}\cdot \dfrac{2}{5} \Big[mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\)
\(\\ \boxed{\left\begin{array}{ccc}\text{\Underline{Power of a Fraction Rule:}}\\\\\Big(\dfrac{a}{b}\Big)^2=\dfrac{a^2}{b^2} \end{array}\right }\)
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2 \cdot\dfrac{v^2}{R^2} \Big]\)
"R²'s" cancel, we are left with:
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5}mv^2\)
We have like terms, combine them.
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{7}{10} mv^2\)
Each term has an "m" in common, factor it out.
\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)\)
Now we have the following equation:
\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)=\dfrac12mv_{_{0}}^2+\dfrac12\Big[\dfrac25mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\)
\(\hrulefill\)
Simplifying the right-hand side of the equation:
\(\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac12\cdot\dfrac25\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}^2}{R^2}\Big]\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\cdot\dfrac{v_{_{0}}^2}{R^2}\Big]\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15mv_{_{0}}^2\Big\\\\\\\\\)
\(\Longrightarrow \dfrac{7}{10}mv_{_{0}}^2\)
Now we have the equation:
\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)=\dfrac{7}{10}mv_{_{0}}^2\)
\(\hrulefill\)
Now solving the equation for the variable "v":
\(m(gh+\dfrac{7}{10}v^2)=\dfrac{7}{10}mv_{_{0}}^2\)
Dividing each side by "m," this will cancel the "m" variable on each side.
\(\Longrightarrow gh+\dfrac{7}{10}v^2=\dfrac{7}{10}v_{_{0}}^2\)
Subtract the term "gh" from either side of the equation.
\(\Longrightarrow \dfrac{7}{10}v^2=\dfrac{7}{10}v_{_{0}}^2-gh\)
Multiply each side of the equation by "10/7."
\(\Longrightarrow v^2=\dfrac{10}{7}\cdot\dfrac{7}{10}v_{_{0}}^2-\dfrac{10}{7}gh\\\\\\\\\Longrightarrow v^2=v_{_{0}}^2-\dfrac{10}{7}gh\)
Now squaring both sides.
\(\Longrightarrow \boxed{\boxed{v=\sqrt{v_{_{0}}^2-\dfrac{10}{7}gh}}}\)
Thus, the simplified equation above matches the simplified equation that was given.
How does the earth orbit the sun?
Answer:
The Sun's gravity pulls on the planets, just as Earth's gravity pulls down anything that is not held up by some other force and keeps you and me on the ground.
Explanation:
Hope that helps
Electric Field Direction only OO Voltage Values Grid 00V a +1 nc -1 nc Sensors Now, let's look at how the distance from the charge affects the magnitude of the electric field. Select Values on the menu, and then click and drag one of the yellow E-Field Sensors. You will see the magnitude of the electric field given in units of V/m (volts per meter, which is the same as newtons per coulomb). Place the E-Field Sensor 1 m away from the positive charge (1 m is two bold grid lines away if going in a horizontal or vertical direction), and look at the resulting field strength. Consider the locations to the right, left, above, and below the positive charge, all 1 m away. For these four locations, the magnitude of the electric field is. greatest to the right of the charge. greatest below the charge. greatest above the charge. greatest to the left of the charge. O O O the same. Submit Request Answer
Considering the locations to the right, left, above, and below the positive charge, all 1 mm away. For these four locations, the magnitude of the electric field is the same.
The area, space, or field around it is an electric field of an isolated charge. There are mainly two types of electric fields i.e., static and dynamic. Moving charges produced dynamic electric fields whereas static electric fields are produced by stationary charges.
Direction and magnitude do not change over time for static electric fields. The direction can be positive or negative which is determined by the charge of the source.
The electric field formula is the electric field magnitude at a certain point from the charge Q, and it hangs on two factors- the distance r from the point to the origin Q and the amount of charge at the origin Q.
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The correct question is:
Now, let's look at how the distance from the charge affects the magnitude of the electric field. Select Values on the menu, and then click and drag one of the yellow E-Field Sensors. You will see the magnitude of the electric field given in units of V/mV/m (volts per meter, which is the same as newtons per coulomb). Place the E-Field Sensor 1 mm away from the positive charge (1 mm is two bold grid lines away if going in a horizontal or vertical direction), and look at the resulting field strength.
Consider the locations to the right, left, above, and below the positive charge, all 1 mm away. For these four locations, the magnitude of the electric field is________________.
A proton in the nucleus of an atom has an electrical charge of:
neutral
-
+
zero
Answer:
proton is positively charged changechar
Explanation:
I WILL GIVE BRAILYEST!!! What is the mass of an object moving at a velocity of 5 m/s if the momentum of the object is 50 kg•m/s?
a. 250 kg
c. 10 Kg
b. .002 Kg
d. 45 Kg
Answer:
a. 250kg I think it's the right answer. hope it helps:)
Answer:
C.10
Explanation:
because when you divide 50 divided by 5 = 10
The force of attraction between a ball is F=.........×10^-¹¹
Answer and I will give you brainiliest
Answer:
4.45×10¯¹¹ N
Explanation:
From the question given above, the following data were obtained:
Mass of ball (M₁) = 4 Kg
Mass of bowling pin (M₂) = 1.5 Kg
Gravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²
Distance apart (r) = 3 m
Force of attraction (F) =?
The force of attraction between the ball and the bowling pin can be obtained as follow:
F = GM₁M₂ / r²
F = 6.67×10¯¹¹ × 4 × 1.5 / 3²
F = 4.002×10¯¹⁰ / 9
F = 4.45×10¯¹¹ N
Therefore, the force of attraction between the ball and the bowling pin is 4.45×10¯¹¹ N
The radius of a planet is three times that of Earth and its mass is nine times that of Earth. The acceleration due to gravity on this planet is _________g.
Answer:
9.836 ms^-2
Explanation:
If
r= 3re
m= 9me
But
g= Gm/r^2
G= 6.67 × 10^-11
me= 6 × 10^24 Kg
re= 6.38 × 10^6 m
g= 6.67 × 10^-11 × 9×6 × 10^24/(3 ×6.38 × 10^6)^2
g= 9.836 ms^-2
Which of the following is the best example of work being done on an object?
A. holding a 50 kg barbell
B. lifting a bag of groceries
C. keeping a board in place
D. pushing on a car that will not move
Answer:
B
Explanation:
When you lift something you are applying Force and Movement.
The two things we use in Work formula.
The other options you don´t have any movement happening.
Lifting a bag of groceries is the best example of work being done on an object because it is the only case from the given list in which both force and displacement are present,
Therefore the correct answer is option B.
What is work done?The total amount of energy transferred when a force is applied to move an object through some distance.
The SI unit of work done by an object is Joules.
The best example of work being done on an item is lifting a bag of groceries since it is the only instance from the list given in which both force and displacement are present, and both external force and displacement are required to do any non-zero work.
Thus, the correct answer is option B.
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VUTE SUNDUI Physical Science / Motion / Lesson 89 1. The graph shown below is a velocity vs. time graph. The y-value represents the velocity, and the x-value represents the time. Explain the acceleration of the object in three distinct portions of the graph. Your conclusions of the acceleration should be based on a graphical analysis. Your answer should be one paragraph and written in your own words. Be sure to include proper spelling, grammar, and punctuation.
Answer:
this stuff hard no cap
Explanation:stop cheating cuhhh
A 1.0 ball moving at 2.0 / perpendicular to a wall rebounds from the wall at 1.5 /. If the ball was in contact with the wall for 0.1 , what force did the wall impart onto the ball?
Answer:
5N
Explanation:
We have a simple problem of momentum here.
ΔMomentum= mΔv= FΔt
Solve for F
mΔv/Δt=F
Plug in givens
1*(2-1.5)/0.1=F
F=5N
The amount of force that the wall imparts on the ball is 5.0N
According to Newton's second law, the formula for calculating the force applied is expressed as:
\(F=ma\)
m is the mass of the object
a is the acceleration of the object
Since acceleration is the change in velocity of an object, hence \(a=\frac{\triangle v}{t}\)
The applied force formula becomes \(F=\frac{m\triangle v}{t}\)
Given the following parameters
m = 1.0kg
\(\triangle v=2.0-1.5\\\triangle v=0.5m/s\)
t = 0.1sec
Substitute the given parameter into the formula
\(F=\frac{1.0\times 0.5}{0.1}\\F=\frac{0.5}{0.1}\\F=5N\)
Hence the amount of force that the wall imparts on the ball is 5.0N
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5.Calculate the entropy changes for the following processes:(a)Melting of one mole of tin at its melting point, 213 ᵒC; ΔHfus = 7.029 kJ/mol(b)Evaporation of one mole of liquid carbon dioxide at its boiling point, 216.6 K. ΔHvap = 15.326 kJ/mol
Answer:
a) ΔS = 14.46 J/k
b) ΔS = 70.76 J/k
Explanation:
The general formula to calculate the entropy change accompanied with a process is:
ΔS = ΔQ/T
where,
ΔS = entropy change for the process
ΔQ = Heat Transfer during the process
T = Absolute Temperature during the process
a)
In this case the heat transfer will be given as:
ΔQ = (ΔHfus)(N)
where,
ΔHfus = Molar Heat of Fusion of Tin = 7.029 KJ/mol
N = No. of moles of tin = 1 mol
Therefore,
ΔQ = (7.029 KJ/mol)(1 mol)
ΔQ = 7.029 KJ = 7029 J
and the absolute temperature is:
T = 213°C +273 = 486 k
using these values in the entropy formula, we get:
ΔS = 7029 J/486 k
ΔS = 14.46 J/k
b)
In this case the heat transfer will be given as:
ΔQ = (ΔHvap)(N)
where,
ΔHvap = Molar Heat of Vaporization of Carbon Dioxide = 15.326 KJ/mol
N = No. of moles of Carbon Dioxide = 1 mol
Therefore,
ΔQ = (15.326 KJ/mol)(1 mol)
ΔQ = 15.326 KJ = 15326 J
and the absolute temperature is:
T = 216.6 k
using these values in the entropy formula, we get:
ΔS = 15326 J/216.6 k
ΔS = 70.76 J/k
What is the daily use of the deltoid?
Answer:
In our everyday life, the deltoids take on most of the work in rotating our arms, but besides that the deltoid muscle also allows us to carry objects at a safe distance from the body. It is also responsible from stopping a dislocation or injury to the humerus when we carry something heavy.
Answer:
Lifting, pushing and pulling
Explanation:
it uses it
Pedro is pushing the car with a force of 300 N. A car moved a distance of 7m. Compute the work done by pedro
Answer:
W = 2100 [J]
Explanation:
We must remember that work is defined as the product of force by the distance traveled.
W = F*d
where:
W = work [Joules]
F = force = 300 [N]
distance = 7 [m]
Now replacing:
W = 300*7
W = 2100 [J]
Perception of color is determined by the wavelength of light that an object reflects
Please select the best answer from the choices provided
T
Or
F
Answer:
True
Explanation:
hope I could help :)
Answer:
true
Explanation:
i know my stuff
Two blocks connected by a string are pulled across a horizontal surface by a force applied to one of the blocks, as shown to the right. The mass of the left block m1 = 1.4 kg and the mass of the right block m2 = 4.9 kg. The angle between the applied force and the horizontal is θ = 54°. The coefficient of kinetic friction between the blocks and the surface is μ = 0.38. Each block has an acceleration of a = 3.6 m/s2 to the right.
Answer:
Explanation:The Mass Of The Left Block M1 = 1.3 Kg And The Mass Of The Right Block M2 = 3.1 Kg. The Angle Between The String And The Horizontal Is ... (10%) Problem 8: Two blocks connected by a string are pulled across a horizontal surface by a ... m m, 50% Part (a) Write an equation for the magnitude of the force exerted by the ...
A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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Convert 360 s to ms? Pls need help
Answer:
360000
Explanation:
Answer:
360000 milliseconds
Explanation:
I have this remembered dont worry homie i got chu
A 1.50x103-kilogram car is traveling east at 30 meters per second.
The brakes are applied and the car is brought to rest in 9.00 seconds.
A. Calculate the magnitude of the total impulse applied to the car to
bring it to rest. [Show all work, including the equation and
substitution with units.]
B. State the direction of the impulse applied to the car. [East or
West?]
PLEASE HELP!!!!
Answer:
\(39000\ \text{kg m/s}\)
West
Explanation:
m = Mass of car = \(1.3\times 10^{3}\ \text{kg}\)
t = Time = 9 seconds
u = Initial velocity = 30 m/s
v = Final velocity = 0
Impulse is given by
\(J=m(v-u)\\\Rightarrow J=1.3\times 10^3(0-30)\\\Rightarrow J=-39000\ \text{kg m/s}\)
The magnitude of the total impulse applied to the car to bring it to rest is \(39000\ \text{kg m/s}\).
The direction is towards west as the sign is negative.
When a car is stopped, facing upwards on a hill, which way does friction act?
When a car is stopped, facing upwards on a hill, the friction acts in the opposite direction to the motion that the car would naturally take if it were not stopped.
In this case, the car would roll backwards down the hill due to the force of gravity. The friction between the tires and the road surface acts in the opposite direction to this motion, providing a force that opposes the car's tendency to roll backwards. Therefore, the friction acts in the forward direction, up the hill, to prevent the car from rolling backwards.
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A 2.0 g metal cube and a 4.0 g metal cube are 6.0 cm apart, measured between their centers, on a horizontal surface. For both, the coefficient of static friction is 0.65. Both cubes, initially neutral, are charged at a rate of 7.0 nC/s .
(a) Which cube moves first?
(b) How long after charging begins does one cube begin to slide away?
Draw a Sketch of the Problem and Create a "Parameter Panel" for the Problem.
Cube moves first, that the cube which is neutral in nature. Hence, the cube which is neutral will move.
To solve this problem, we need to calculate the electrostatic force between the two charged cubes and compare it with the force of static friction between the cubes and the surface. The cube with the smaller force of friction will begin to move first. The parameter panel and sketch of the problem are shown below:
Parameter Panel:
Mass of cube 1 (m1) = 2.0 g = 0.002 kg
Mass of cube 2 (m2) = 4.0 g = 0.004 kg
Distance between the centers of the cubes (d) = 6.0 cm = 0.06 m
Charge rate of each cube (q) = 7.0 nC/s
Coefficient of static friction (μ) = 0.65
Sketch:
|-----------| |-----------|
| 2 | | 1 |
|-----------| |-----------|
| |
d=6.0 cm d=6.0 cm
| |
|-----------------|
(a) To determine which cube moves first, we need to calculate the electrostatic force between the charged cubes and compare it with the force of static friction between the cubes and the surface. The electrostatic force between two charged objects is given by Coulomb's law:
F = (k * q1 * q2) / d^2
where k is the Coulomb constant (9.0 x 10^9 N m^2/C^2), q1 and q2 are the charges on the cubes, and d is the distance between them. For each cube, the charge is increasing at a rate of 7.0 nC/s, so the charge at any time t is given by:
q = 7.0 x 10^-9 C/s * t
At t = 0, the cubes are neutral and have no charge. At some later time t, the charges on the cubes are:
q1 = 7.0 x 10^-9 C/s * t
q2 = 7.0 x 10^-9 C/s * t
The electrostatic force between the cubes is then:
F = (9.0 x 10^9 N m^2/C^2) * (q1 * q2) / d^2
= (9.0 x 10^9 N m^2/C^2) * [(7.0 x 10^-9 C/s * t)^2 / (0.06 m)^2]
The force of static friction between each cube and the surface is:
Ff = μ * N
= μ * m * g
where N is the normal force, m is the mass of the cube, μ is the coefficient of static friction, and g is the acceleration due to gravity (9.81 m/s^2).
The normal force N is the force exerted by the surface on the cube, and is equal in magnitude to the weight of the cube:
N = m * g
Plugging in the values for each cube, we get:
Ff1 = μ * m1 * g
= 0.65 * 0.002 kg * 9.81 m/s^2
= 0.0127 N
Ff2 = μ * m2 * g
= 0.65 * 0.004 kg * 9.81 m/s^2
= 0.0254 N
Comparing the electrostatic force between the cubes and the force of static friction, we find:
F - Ff1 = (9.0 x 10^9 N)
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What conclusion can you draw from the information shown in this figure?
The speed of sound varies with the material in which the waves travel.
Sound waves can move more quickly through liquids than through solids.
Sound intensity is greater in water than in air.
The frequency of sound increases with wave speed.
Answer:
The speed of sound varies with the material in which the waves travel.
Explanation:
knowledge and research
It can be concluded as per the given table that the speed of sound varies with the material in which the waves travel. The correct option is A.
What is speed?Speed is the pace at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
It has a dimension of time-distance. As a result, the fundamental unit of time and the basic unit of distance are combined to form the SI unit of speed. Thus, the metre per second (m/s) is the SI unit of speed.
According to the given table, it can be inferred that the material in which the waves travel affects the speed of sound.
Thus, the correct option is A.
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A capacitor is formed from two square plates of edge length a and separation d, with d <
Answer:
A capacitor is formed from two square plates of edge length a and separation d, with d <
Explanation:
A capacitor is formed from two square plates of edge length a and separation d, with d <
A cubic box is completely filled with 2800 g of water. What is the length of one side of the box, in meters?
m
Explain your reasoning.
Since the density of water is
cm3 is
g/cm3, then the volume of 2800 g of water is
cm on each side. Converting [ cm to meters, the cube is
Proy
13 of 15
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cm³. A cubic box with a volume of [
m on each side.
The density of water is approximately 1 g/cm^3. Therefore, the volume of 2800 g of water would be 2800 cm^3 because density is mass/volume, and so volume is mass/density.
Since this volume is inside a cubic box, the length of each side of the cube (a, for instance) could be found by taking the cubic root of the volume. This is because the volume of a cube is calculated by a^3 (length of one side cubed). Hence, a = cube root of 2800 cm^3 ≈ 14.1 cm.
Converting centimeters to meters (as 1 meter is equal to 100 centimeters), we get approximately 0.141 meters.
So the filled cubic box has a side length of approximately 0.141 m.
A golf ball is whacked in a direction 25 degrees south of the east axis. The ball travels 125m. What are the east and north components of its displacement?
We are given:
Direction of motion: 25 degrees south of the east axis
Distance covered = 125 m
East component of the Ball:
this component is denoted by green color in the image
Once we drop a perpendicular from the end of the direction vector on the x-axis, we get a right angled triangle
The magnitude of the side of the triangle on the x-axis denotes the east component of the ball
Using trigonometry, we find that the east component of the ball is:
125 * Cos(25 degrees)
125 * 0.9 = 112.5 i (here, i denotes rightward direction on the x-axis)
North Component of the Ball:
this component is denoted by blue color in the image
Using trigonometry, we find that the North component of the ball is:
125* Sin(25 degrees) (-j) [j denotes upward movement on the y-axis, since the vector is acting downwards, we have used '-j']
125 * 0.42 (-j)
52.5 (-j) = -52.5 j
Therefore the direction vector of the ball is 112.5 i - 52.5 j
where 112.5 i is the East Component and -52.5 is the North Component