find a vector(s) of length √15m in the x-z plane that is perpendicular to the vector A= (2i+3j+k) m
The vector that is perpendicular to the original vector is vector B = (√3 i - 2√3 k )
What is the vector that is perpendicular to the original vector?The vector that is perpendicular to the original vector is calculated as follows;
Let the vector = B = (xi + 0j + zk)
The dot product of A and B must be equal to zero.
A . B = (2i + 3j + k) . (xi + 0j + zk)
A.B = 2x + z = 0
2x = - z
The product of the vector must be √15 and it is calculated as;
√ (x² + z²) = √15
x² + z² = 15
Substitute the value of x for z;
x² + (-2x)² = 15
x² + 4x² = 15
5x² = 15
x² = 15/5
x² = 3
x = √3
z = - 2x
z = -2√3
The vector B = (√3 i - 2√3 k )
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At what distance from a 0.100 C
charge will the electric field be
10000 N/C?
(Unit = m)
Answer:
Explanation:
\(F = k \frac{Q}{r^{2}} \\10000 = 8.99 * 10^{9} * \frac{0.1}{r^{2}} => r^{2} = 8.99 * 10^{5} * 0.1 = 89900 => r = 299.83 m = 300 m\)
Answer:
The answer would be 299.83
Explanation:
Trust
A car is traveling due north at 23.6 m>s.
Find the velocity of the car after 7.10 s if its
acceleration is (a) 1.30 m>s2 due north, or
(b) 1.15 m>s2 due south.
A car is traveling due north at 23.6 m>s.
Find the velocity of the car after 7.10 s if its
acceleration is
The acceleration is known to be: a(t) = 1.7 m/s2.
We must integrate over time to obtain the velocity function, and the results are:
v(t) = (1.7m/s^2)
*t + v0
If we suppose that we begin at 23.6 m/s, then the initial velocity is: v0 = 23.6 m/s, where v0 is the beginning velocity.
The velocity formula is then: v(t) = (1.7m/s2).
*t + 23.6 m/s
We now seek to determine the value of t such that v(t) = 27.8 m/s.
Consequently, v(t) = 27.8 m/s = (1.7 m/s2)
*t + 23.6 m/s = (1.7 m/s2) 27.8 m/s - 23.6 m/s
t = 2.5 seconds when *t 4.2 m/s = (1.7 m/s/2)
At such acceleration, 2.5 seconds are required.
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Crystalline germanium (Z=32, rho=5.323 g/cm3) has a band gap of 0.66 eV. Assume the Fermi energy is half way between the valence and conduction bands. Estimate the ratio of electrons in the conduction band to those in the valence band at T = 300 K. (See eq. 10-11) Assume the width of the valence band is ΔΕV ~ 10 eV.
Answer:
= 8.2*10⁻¹²
Explanation:
Probability of finding an electron to occupy a state of energy, can be expressed by using Boltzmann distribution function
\(f(E) = exp(-\frac{E-E_f}{K_BT} )\)
From the given data, fermi energy lies half way between valence and conduction bands, that is half of band gap energy
\(E_f = \frac{E_g}{2}\)
Therefore,
\(f(E) = exp(-\frac{E-\frac{E_g}{2} }{K_BT} )\)
Using boltzman distribution function to calculate the ratio of number of electrons in the conduction bands of those electrons in the valence bond is
\(\frac{n_{con}}{n_{val}} =\frac{exp(-\frac{[E_c-E_g/2]}{K_BT} )}{exp(-\frac{[E_v-E_fg/2}{K_BT} )}\)
\(= exp(\frac{-(E_c-E_v}{K_BT} )\\\\=exp(\frac{-(0.66eV)}{(8.617\times10^-^5eV/K)(300K)} )\\\\=8.166\times10^-^1^2\approx8.2\times10^{-12}\)
find the electrical energy expended by an electric lamp labelled 100w in 8 seconds
Answer:800 Joules
Explanation: Energy = Power × Time = 100∗8100∗8 = 800 joules
Please!!! Brainliest will be picked!
Maria does 1000.0 J of work to lift a 98.0 N air conditioner a distance of 5.8 meters. What is the efficiency of the pulley system Maria uses?
53%
52%
64%
57%
Answer:
The efficiency of a pulley system is given by the ratio of the output work to the input work, multiplied by 100%. In this case, the input work is the work Maria does to lift the air conditioner, which is 1000.0 J. The output work is the work done by the air conditioner, which is equal to the product of the force applied (98.0 N) and the distance lifted (5.8 m), or:
output work = force x distance = 98.0 N x 5.8 m = 568.4 J
Therefore, the efficiency of the pulley system is:
efficiency = (output work / input work) x 100%
efficiency = (568.4 J / 1000.0 J) x 100%
efficiency = 56.84%
Rounding to the nearest whole number, the efficiency of the pulley system is 57%. Therefore, the answer is option (d), 57%.
Explanation:
A candle is sitting in front of a concave mirror at a distance of 18.0 cm. It is found that an image of the ca
25.0 cm. What is the focal length of the mirror?
03.52 cm
07.50 cm
O 10.4 cm
022.1 cm
Answer:
The focal length of the mirror is 10.4 cm.
Explanation:
The object distance ( d₀ ) ( distance of the candle from the mirror) is -18 cm.The Image distance ( dᵢ ) ( distance of the image from the mirror) is -25.0 cm.The mirror equation is 1/f = 1/d₀ + 1/dᵢ.So substitute the values of object distance and image distance in the mirror equation,
1/f = 1/(-18cm) + 1/(-25.0cm)
1/f = -25cm/(-18cm x -25cm) - 18cm/(-18cm x 25cm)
1/f = ( -25cm - 18cm)/(18cm x 25cm)
1/f = -43.0/450.0
f = -10.4651 cm.
The focal length of the mirror is approximately -10.4 cm.
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A charged rod is brought near one end of a long, uncharged metal block. Students want to experimentally measure the resulting charge distribution along the entire length of the block. They have a small, positively charged sphere on a string that can be used as a test charge with negligible effect on the other charges. They will observe whether the sphere is attracted or repelled when held near the rod. Which of the following describes and justifies a procedure that will provide data to determine the entire charge distribution?
a. Hold the sphere near the end of the block closest to the rod, because that will give experimental data about both ends of the block.
b. Hold the sphere near each end of the block, because that will give experimental data about both ends of the block.
с. Hold the sphere near each end of the block and near the block's middle, because that will give experimental data about the area along the length of the block.
d. Hold the sphere near each end of the block and at a number of points along the length of the block, because that will give experimental data for the whole block.
Answer:
d
Explanation:
The sphere is positively charged so that when it comes in contact with the rod, its positive charges will repel to the other end. Hence, Hold the sphere near each end of the block, because that will give experimental data about both ends of the block.
What is polarization?Polarization is the separation of charges into two poles due electrostatic repulsion. Two similar charges will repel and opposite charges attracts each other.
When a charged or polar substance get in contact with a non-polar substance, the nonpolar one will deform in such a way that the electrons from the polar one will repel the electrons of nonpolar and there occurs a temporary charge separation in non polar substance creating an induced polarity.
Here, when the positive sphere comes in contact with the charged rod, the positive charges will align to the opposite pole of the rod away from the sphere and the negative charges will align near the sphere.
Thus there occurs an attractive force at one end and repulsion at the other end. Thus, holding the sphere at each end will data about charge distribution.
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An uncharged, nonconducting, hollow sphere of
radius 10.0 cm surrounds a 10.0-uC charge located
at the origin of a Cartesian coordinate system. A drill
with a radius of 1.00 mm is aligned along the z axis,
and a hole is drilled in the sphere. Calculate the elec-
tric flux through the hole.
Answer:
Explanation:
The whole surface of hollow sphere = 4π r²
= 4 x 3.14 x (10 x 10⁻²)²
= 12.56 x 10⁻² m²
Area of the hole ( both side ) = 2 x π r²
= 2 x 3.14 x (10⁻³)²
= 6.28 x 10⁻⁶ m²
flux coming out of given charge at the centre as per Gauss's theorem
= q / ε₀ where q is charge at the centre and ε₀ is permittivity of the medium .
= 10 x 10⁻⁶ / 8.85 x 10⁻¹²
= 1.13 x 10⁶
This flux will pass through the surface of sphere so flux passing through per unit area
= 1.13 x 10⁶ / 12.56 x 10⁻²
= 8.99 x 10⁶ weber per m²
flux through area of hole
= 8.99 x 10⁶ x 6.28 x 10⁻⁶
= 56.45 weber .
Equal amounts of heat are added to equal masses of ice and iron at the same initial temperature. Which substance will have the higher final temperature?
How much greater will that temperature change be than the temperature change of the other substance?
larger ΔT / smaller ΔT =
Answer:
i got u
Explanation:
The iron will have the higher final temperature. This is because the specific heat capacity of iron is much lower than the specific heat capacity of ice. Specific heat capacity is the amount of heat energy required to raise the temperature of a substance by a certain amount, and it varies from substance to substance. Since the specific heat capacity of iron is lower, it means that it takes less heat energy to raise the temperature of iron than it does to raise the temperature of ice by the same amount. Therefore, when equal amounts of heat are added to equal masses of ice and iron at the same initial temperature, the iron will have a higher final temperature than the ice.
An object begins at position x = 0 and moves one-dimensionally along the x-axis witļi a velocity v
expressed as a function of time t according to the graph above. At what time does the object pass
through x = 0 again?
Answer:
The answer is "between 20 s and 30 s".
Explanation:
Calculating the value of positive displacement:
\(\ (x_{+ve}) = \frac{1}{2} \times 15 \times 20 \\\\\)
\(= \frac{1}{2} \times 300 \\\\= 150 \\\\\)
Calculating the value of negative displacement upon the time t:
\((x_{-ve}) = \frac{1}{2} \times 5 \times 20- 20(t-20) \\\\\)
\(= \frac{1}{2} \times 100- 20t+ 400 \\\\= 50- 20t+ 400 \\\\\)
\(\to X= X_{+ve} + X_{-ve} \\\\\)
\(\to 150 - 50 -20t+400 =0\\\\\to 100 -20t+400 =0 \\\\\to 500 -20t =0\\\\\to 20t =500 \\\\\to t=\frac{500}{20}\\\\\to t=\frac{50}{2}\\\\\to t= 25\)
That's why its value lie in "between 20 s and 30 s".
Describe 2 things that happen to a DC motor when physical load (like the weight) Increases
Answer:
As the load increases the motor generally reduces rpm, as the happens the counter emf generated in the armature decreases, causing more current to flow to
Explanation:
person a and b traveling away from each other. It takes person a 2 hours to travel a full circle, and person b 5 hours to travel a full circle. how much time will it take for a and b to meet?
Let the circumference of the circle be 10L.
A moves at 10L/2 = 5L per hour
B moves at 10L/5 = 2L per hour
Therefore it takes 10L/(5L+2L) = 10/7 hours
The gravitational force between two bodies varies inversely as the square of the distance between them. If the force between two bodies is 18 N when the distance between them is 10 km, find the fource between the bodies when the distance between them is 7.5 km.
The statement states that the force between both the bodies at a distance of 7.5 km equals F = 32 N.
What is gravitational force?This force that earth applies to a body is referred to as gravitational force. Its down motion of water in the river, the downwards motion if water in a stream, or an upwards motion of a ball being thrown are examples of motion brought on by gravitational influence.
Briefing:F = k/d² where k is the inverse variation's constant.
18 N = k / (10 km)²
18 N = k / 100 km²
k = (18 N) (100 km²)
k = 1800 (N)(km²)
F = ?
d = 7.5 km
k = 1800 (N) (km²)
F = 1800 (N)(km²) / (7.5 km)²
F = 1800 (N) (km²) / (55.25 km²)
F = 32 N
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A child throws a small rubber ball at a heavier, larger basketball that is sitting still. The small ball bounces backward off the basketball. Describe the motion of the basketball after the small ball bounces back. Does it move at all? Does it move faster or slower than the small ball? what direction does it move? How does newtons third law affect your answer?
When a small rubber ball bounces off a larger, heavier basketball, the basketball will move slightly in the opposite direction, but it will move much slower than the rubber ball due to its larger mass.
According to Newton's third law of motion, every action has an equal and opposite reaction. In the case of the small rubber ball bouncing off the basketball, the rubber ball exerts a force on the basketball, and the basketball exerts an equal and opposite force back on the rubber ball.
As a result, the small rubber ball bounces back in the opposite direction, while the basketball experiences a force in the opposite direction.
The motion of the basketball after the small ball bounces back depends on the mass and velocity of the two objects. Since the basketball is much larger and heavier than the rubber ball, it will not move much, if at all.
In fact, if the rubber ball is light enough and bounces back with enough force, it may cause the basketball to move slightly in the opposite direction. However, the basketball will move much slower than the rubber ball due to its larger mass and slower acceleration.
In terms of direction, the basketball will move in the opposite direction of the rubber ball, as dictated by the conservation of momentum. Since the total momentum of the system before and after the collision must be conserved, the basketball will move in the opposite direction of the rubber ball to balance out the momentum.
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The viscous drag (f) between two layers of liquid with surface area of contact (A) in a region of velocity gradient (dv/dx) is given by F=ETA A(dv/dx) where ETA is the co efficient of viscosity of the liquid. what is the dimension of ETA. Hence, write the unit of ETA in terms of the basic unit of S.I
The unit of ETA in terms of the basic units of the SI system is:
ETA = [kg] * [s]⁻¹* [m]⁻¹= kg * s / m
What is the viscous drag about?The dimension of the coefficient of viscosity (ETA) can be determined by using the dimensions of the other variables in the equation:
F = ETA * A * (dv/dx)
The dimension of force (F) is [M] * [L] * [T]⁻², the dimension of surface area (A) is [L]⁻², and the dimension of velocity gradient (dv/dx) is [L] * [T]⁻¹.
Since the equation must be dimensionally consistent, we can set up the following equation:
[M] * [L] * [T]⁻²= ETA * [L]² * [L] * [T]⁻¹
Solving for the dimension of ETA, we get:
ETA = [M] * [T]⁻¹ * [L]⁻¹
Therefore, the basic unit of mass in the International System of Units (SI) is the kilogram (kg), the basic unit of time is the second (s), and the basic unit of length is the meter (m). Therefore, the unit of ETA in terms of the basic units of the SI system is:
ETA = [kg] * [s]⁻¹* [m]⁻¹= kg * s / m
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Why should we invest more money in renewable energy resources
Answer:
It is the smarter option.
Explanation:
Renewable energy is the cheapest source of new power generation for more than two-thirds of the world and has no fuel costs. It can reduce the economic burden of energy bills by eliminating fuel charges — especially when coupled with energy-efficiency upgrades in our homes and businesses.
is a step in the scientific method. The step that follows this step involves forming
Answer: read this hope this helped
Explanation: A hypothesis is a possible explanation for a set of observations or an answer to a scientific question. ... The next step in the scientific method is to test the hypothesis by designing an experiment. This includes creating a list of materials and a procedure— a step-by-step explanation of how to conduct the experiment.
are cells smaller and simpler than either tissues or organs
Answer:
yes
Explanation:
tissues and organs are made of cells therefore cells have to be smaller and simpler
A CD is a solid disk of mass of 0.0140
kg and a radius 0.0600 m. It rotates at
31.4 rad/s. What is its ROTATIONAL
KE?
Rotational KE is the energy of a rotating object. For a CD with a mass of 0.0140kg, a radius of 0.0600m, and an angular velocity of 31.4 rad/s, the rotational KE is 0.0186 J.
Rotational KE is the energy that a rotating object possesses. It is a type of kinetic energy possessed by objects that rotate about an axis or an object's center of mass. The formula to calculate rotational KE is Rotational KE = 1/2 I ω², Where I represent the moment of inertia, and ω is the angular velocity of the object. A CD is a solid disk of mass of 0.0140kg and a radius of 0.0600 m. It rotates at 31.4 rad/s. Therefore, its moment of inertia (I) can be calculated using the formula: I = 1/2mr²I = 1/2(0.0140kg)(0.0600m)²I = 3.78×10⁻⁵ kg⋅m²Plugging the moment of inertia and the angular velocity into the formula for rotational KE, we get: Rotational KE = 1/2 I ω² Rotational KE = 1/2 (3.78×10⁻⁵ kg⋅m²)(31.4 rad/s)²Rotational KE = 0.0186 JTherefore, the rotational KE of the CD is 0.0186 J.Summary: Rotational KE is a type of kinetic energy possessed by rotating objects. The formula to calculate rotational KE is 1/2 I ω². A CD with a mass of 0.0140kg and a radius of 0.0600 m rotates at 31.4 rad/s. Its rotational KE is 0.0186 J, which is calculated using the formula Rotational KE = 1/2 I ω², where I is the moment of inertia and ω is the angular velocity of the object.For more questions on the angular velocity
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a 3000 kg spaceship is floating through space at a rate of 2 m/s. an astronaut traveling in the opposite direction at a rate velocity of 10m/s grabs hold of the side of teh ship
Answer:
sorry fella, you've given the condition but u haven't given the question statement
Answer:
1.65 m/s
Explanation:
I showed my work in the picture attached.
*Note that in this problem the astronaut is traveling in the opposite direction of the spaceship. This means when you plug in the velocity of the astronaut into your formula, you will have to make the value negative. I almost made this mistake when answering (on left in picture).
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what is projectiles
What is INTEGRITY? Why is it necessary in our school community? Why is it necessary in society in general? What does it look like in practice?
Integrity is the quality of being honest, truthful, and morally upright. It means doing the right thing even when no one is watching, and being accountable for one's actions.
Why is Integrity necessary?
In our school community, integrity is essential as it ensures that students and faculty members act with honesty and ethics in all their interactions. It creates a safe and trustworthy environment where individuals are respected, and their contributions are valued. Without integrity, academic performance, reputation, and character can be damaged, which can negatively impact the school community.
Integrity is also necessary in society in general, as it ensures that individuals act with honesty, ethics, and fairness in all their interactions. It helps to create a sense of trust and respect among people, which is essential for building positive relationships and fostering a healthy community. In business and professional settings, integrity is crucial as it helps to build credibility, establish trust, and maintain good relationships with clients and stakeholders.
In practice, integrity looks like individuals acting with honesty, ethics, and moral values in all their interactions. It means taking responsibility for one's actions, being accountable for one's mistakes, and working towards making things right when something goes wrong. It also means being respectful of others, treating them with dignity, and valuing their contributions. In the school community, it looks like students and faculty members conducting themselves with honesty and integrity in academic and personal settings.
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In hiking, what fitness component is required of you
The temperature of an object is
A. The average kinetic energy of its atoms and molecules
B. The total potential and kinetic energy of its atoms and molecules
C. The transfer of kinetic energy from one place or object to another through collisions between atoms and molecules
A vector has the components Ax=29 m and Ay= 18 m. What is the magnitude of this vector? What angle does this vector make with the positive x axis?
The magnitude of the vector is approximately 35.85 m.
The angle that this vector makes with the positive x-axis is approximately 32 degrees.
What is the magnitude of this vector?
To find the magnitude of the vector with components Ax=29 m and Ay=18 m, we use the Pythagorean theorem:
|A| = √(Ax^2 + Ay^2)
|A| = √(29^2 + 18^2)
|A| = √(841 + 324)
|A| = √1165
|A| = 34.13 m
To find the angle that this vector makes with the positive x-axis, we can use the inverse tangent function:
θ = tan^-1(Ay/Ax)
θ = tan^-1(18/29)
θ = 31.82 degrees
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If wind blows 40m/s over house, what will be net force on the roof it has surface area 250cm²? (density of air = I, 29kg/m²)
According to the question: the net force on the roof is 8.45 kN.
What is net force?The vector sum of the forces operating on a particle of object is known as the net force in mechanics. The original forces' impact on the motion of the particle is replaced by the net force, which is a single force. In accordance with Newton's second rule of motion, it causes the particle to accelerate at a rate equal to the sum of all those actual forces.
The net force on the roof is equal to the air pressure multiplied by the surface area of the roof. The air pressure is equal to the density of the air multiplied by the wind speed squared. Therefore, the net force on the roof can be calculated as follows:
Force = (density x wind speed²) x surface area
Force = (1.29 kg/m² x (40 m/s)²) x (250 cm²)
Force = 8.45 kN
Therefore, the net force on the roof is 8.45 kN.
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What is true about the direction of the force of friction? A. It always points straight down. B. It always opposes the direction of motion. C. It always points straight up. D. It never changes direction.
Answer: it always opposes the directions of motion is the right answer
Explanation:
Which best describes pitch?
A) the amount of time taken for a longitudinal wave to produce one cycle
B) the number of cycles per second perceived by the human ear
C) the amplitude of a wave when the natural frequency is matched
D) the distance between two corresponding parts of a transverse wave
Answer:
B) the number of cycles per second perceived by the human ear
Explanation:
The best expression that describes pitch is that it is the number of cycles per second perceived by the human ear.
For a wave train, the number of cycles per second is frequency. Whereas the period is the amount of time taken for a longitudinal wave to produce one cycle.
The distance between two corresponding parts of a transverse wave is its wavelength.
A high pitch will correspond to a high frequency of waves perceived. A low pitch corresponds to a low frequency of waves.9. The coefficient of static
friction between a 5kg block
and horizontal surface is 0.4.
What is the maximum
horizontal force that can be
applied to the block before it
slips?
Answer:
19.6 Newtons
Explanation:
\(\displaystyle \textsf{The weight of the block is W= mg where m is the mass and g the acceleration due to gravity}\)
\(\sf W = 5kg, \; and\; g = 9.80 m/s^2\)
\(\sf W = 5 x 9.8 = 49\; Newtons\)
\(\textsf {If the coefficient of static friction is } $\mu_s$, the force to be applied for the block to slip is given by the equation}:\\\mathsf {f_s = \mu_s \times W}\\\\\textsf {So force required, given $\mu_s$ = 0.4 is: }\\\\\\\mathsf {f_s = 0.4 \times 49 = 19.6 } \textsf{ Newtons }\)