Given;
The charge q=3 μC
The distance of the charge from the wire, r=1.5 cm=1.5×10⁻² m
The current through the wire, I=5 A
The velocity of the charge, v=1000 m/s
To find:
The magnitude and direction of the magnetic force.
Explanation:
The magnetic field at a distance r from the wire produced due to the current through the wire is given by,
\(B=\frac{\mu_0I}{2\pi r}\)Where μ₀ is the permeability of free space.
On substituting the known values,
\(\begin{gathered} B=\frac{4\pi\times10^{-7}\times5}{2\pi\times1.5\times10^{-2}} \\ =6.67\times10^{-5}\text{ T} \end{gathered}\)The direction of the magnetic field is given by the right-hand thumb rule and the magnetic field is perpendicular to the wire and the direction of motion of the particle.
The magnetic force acting on the charged particle due to this magnetic field is given by,
\(F=\text{qvB}\)On substituting the known values,
\(\begin{gathered} F=3\times10^{-6}\times1000\times6.67\times10^{-5} \\ =2\times10^{-7}\text{ N} \end{gathered}\)The direction of this force is given by the right-hand rule, according to which if the thumb is pointed in the direction of motion of the positive charge and force finger is pointed in the direction of the magnetic field, then the middle finger will point towards the magnetic force. Thus according to this rule, the force acting on the given charge is parallel to, and in the direction of the current flow.
Final answer:
The force acting on the charge is 2×10⁻⁷ N, parallel to and in the direction of the current flow.
Therefore the correct answer is option C.
How does a simple cell work?
In a easy way pleasee.
\({\ \textbf{\textcolor{red}{PLEASE MARK ME AS}} \\[ \textbf{\textcolor{blue}{BRAINLIEST}}}
\)
Answer: two solid electrodes placed in an electrolyte connected together by an electrical conductor such as wire.
Explanation:
The two electrodes must be two different metals. The electrolyte can be acid solution, alkaline solution, salt solution or even a fruit such as orange or lemon.
A 5kg objects is sliding across a floor at 10m/s. How much work is done by friction to bring it to a stop?
If A 5kg objects is sliding across a floor at 10m/s.then the work done by friction to bring the 5 kg object to a stop is -250 Joules.
To calculate the work done by friction to bring the object to a stop, we need to determine the change in kinetic energy.
Given:
Mass of the object, m = 5 kg
Initial velocity, u = 10 m/s
Final velocity, v = 0 m/s (object comes to a stop)
The work done by friction can be calculated using the equation:
Work = Change in Kinetic Energy
The change in kinetic energy (ΔKE) can be calculated as:
ΔKE = (1/2) * m * (v^2 - u^2)
Plugging in the values:
ΔKE = (1/2) * 5 kg * (0 m/s)^2 - (10 m/s)^2
= (1/2) * 5 kg * (0 - 100 m^2/s^2)
= (1/2) * 5 kg * (-100 m^2/s^2)
= -250 J
The negative sign indicates that the work done by friction is in the opposite direction of the displacement of the object.
Therefore, the work done by friction to bring the 5 kg object to a stop is -250 Joules.
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What is the input work of a scissor jack if it is 80% efficient and the output work is 8800?
The input work of a scissor jack is 8800
It is given that
Efficiency of the jack = 80%
output work = 8800
We have to find input work of a scissor jack
Force applied across a distance is called work. Examples of work include dragging down a captive helium balloon, driving a car up a hill, and lifting an object against the gravitational attraction of the Earth. Energy manifests mechanically as work. The joule (J), or newton-meter (N m), is the accepted unit of work.
Efficiency = work output / work input
work input = work output / efficiency
work input = 8800 / 80%
work input = 8800
Hence, input work of a scissor jack is 8800
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A potential difference of 71 mV is developed across the ends of a 12.0-cm-long wire as it moves through a 0.27 T uniform magnetic field at a speed of 6.0 m/s. The magnetic field is perpendicular to the axis of the wire.
Required:
What is the angle between the magnetic field and the wire's velocity?
Answer:
Explanation: please see attached file I attached the answer to your question.
The angle between the magnetic field and the wire's velocity is 33.2 degrees.
Calculation of the angle:Since the potential difference = 71mv = 71 *10 ^-3 V
The length is 12 cm = 0.12m
The magnetic field i.e. B = 0.27T
The speed or v = 4 m/s
here we assume \(\theta\) be the angle
So,
e = Bvl sin\(\theta\)
So,
\(Sin\theta\) = e/bvl
= 71*10^-3 / 0.27 *4*0.12
= 0.5478
= 33.2 degrees
Therefore, the angle should be 33.2 degrees
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Imagine that the electrostatic forces on the cart and track were suddenly removed.When the cart hits the track, what evidence would there be that energy was transferred?
The change in motion, visible effects of the collision, and temperature increase would all serve as evidence that energy was transferred during the collision between the cart and the track after the removal of electrostatic forces.
If the electrostatic forces on the cart and track were suddenly removed and the cart hits the track, there would be several pieces of evidence indicating that energy was transferred during the collision.Firstly, there would be a noticeable change in the motion of the cart. The cart would decelerate as it collides with the track, and its velocity would decrease due to the loss of energy. This change in motion demonstrates that energy has been transferred from the cart to the track.
Secondly, there may be visible effects of the collision, such as deformation or damage to the cart or the track. This deformation or damage occurs because the energy transferred during the collision is transformed into other forms, such as heat or sound energy. These visible effects provide evidence of energy transfer.Additionally, there could be an increase in the temperature of the cart and/or the track due to the conversion of kinetic energy into thermal energy upon impact. This temperature change would be another indication that energy has been transferred.
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An 8.0 Kg mass is placed at = 3 where should a 10 Kg mass be placed along the − so that the center of mass will be located ay = 4.5?
Answer:
Therefore, the 10 kg mass should be placed at x = 5.7 m along the x-axis to achieve a center of mass located at y = 4.5 m.
Explanation:
To find the position along the x-axis where a 10 kg mass should be placed such that the center of mass is located at y = 4.5, we can use the formula for the center of mass:
x_cm = (m1 * x1 + m2 * x2) / (m1 + m2)
Here, m1 and x1 represent the mass and position of the 8 kg mass, respectively. m2 is the mass of the 10 kg mass, and we need to find x2, its position.
Given:
m1 = 8 kg
x1 = 3 m
x_cm = unknown (to be found)
m2 = 10 kg
y_cm = 4.5 m
Since the center of mass is at y = 4.5, we only need to consider the y-coordinate when calculating the center of mass position along the x-axis.
To solve for x2, we can rearrange the formula as follows:
x2 = (x_cm * (m1 + m2) - m1 * x1) / m2
Substituting the given values:
x2 = (x_cm * (8 kg + 10 kg) - 8 kg * 3 m) / 10 kg
Simplifying:
x2 = (x_cm * 18 kg - 24 kg*m) / 10 kg
Now, we can set the y-coordinate of the center of mass equal to 4.5 m and solve for x_cm:
4.5 m = (8 kg * 3 m + 10 kg * x2) / (8 kg + 10 kg)
Simplifying:
4.5 m = (24 kg + 10 kg * x2) / 18 kg
Multiplying both sides by 18 kg:
81 kg*m = 24 kg + 10 kg * x2
Subtracting 24 kg from both sides:
10 kg * x2 = 81 kg*m - 24 kg
Dividing both sides by 10 kg:
x2 = (81 kg*m - 24 kg) / 10 kg
Simplifying:
x2 = 8.1 m - 2.4 m
x2 = 5.7 m
(brainlest?) ples:(
Answer:
the 10 kg mass should be placed at x = -2.4 m to achieve a center of mass at y = 4.5 m.
Explanation:
To find the position along the x-axis where the 10 kg mass should be placed so that the center of mass is located at y = 4.5, we can use the principle of the center of mass.
The center of mass of a system is given by the equation:
x_cm = (m1x1 + m2x2) / (m1 + m2),
where x_cm is the x-coordinate of the center of mass, m1 and m2 are the masses, and x1 and x2 are the positions along the x-axis.
Given:
m1 = 8 kg,
x1 = 3 m,
m2 = 10 kg,
y_cm = 4.5 m.
To solve for x2, we need to find the x-coordinate of the center of mass (x_cm) by using the y-coordinate:
y_cm = (m1y1 + m2y2) / (m1 + m2),
where y1 and y2 are the positions along the y-axis.
Rearranging the equation and substituting the given values:
4.5 = (83 + 10y2) / (8 + 10).
Simplifying the equation:
4.5 = (24 + 10*y2) / 18.
Multiplying both sides by 18:
81 = 24 + 10*y2.
Rearranging the equation:
10*y2 = 81 - 24,
10*y2 = 57.
Dividing both sides by 10:
y2 = 5.7.
Therefore, the y-coordinate of the 10 kg mass should be 5.7 m.
To find the x-coordinate of the 10 kg mass, we can use the equation for the center of mass:
x_cm = (m1x1 + m2x2) / (m1 + m2).
Substituting the given values:
x_cm = (83 + 10x2) / (8 + 10).
Since the center of mass is at x_cm = 0 (the origin), we can solve for x2:
0 = (83 + 10x2) / (8 + 10).
Rearranging the equation:
83 + 10x2 = 0.
24 + 10*x2 = 0.
10*x2 = -24.
Dividing both sides by 10:
x2 = -2.4.
Particles q₁ +8.0 μC, q2 +3.5 μC, and
93-2.5 μC are in a line. Particles q₁ and q2 are
separated by 0.10 m and particles q2 and q3 are
separated by 0.15 m. What is the net force on
particle q₂?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
+8.0μ.C
+91
0.10 m
+3.5 C
+92
0.15 m
-2.5μ C
93
The net force on particle q₂, located between particles q₁ and q₃, is approximately 189000 N. The force exerted by particle q₁ on q₂ is positive and equals 252000 N, while the force exerted by particle q₃ on q₂ is negative and equals -63000 N.
To find the net force on particle q₂, we need to calculate the individual forces exerted on q₂ by particles q₁ and q₃ and then determine their sum.
The force between two charged particles can be calculated using Coulomb's law:
F = k * |q₁ * q₂| / r²
Where F is the force between the particles, k is the electrostatic constant (k ≈ 9.0 x \(10^9\) Nm²/C²), q₁ and q₂ are the charges of the particles, and r is the distance between them.
First, let's calculate the force exerted on q₂ by q₁:
F₁₂ = k * |q₁ * q₂| / r₁₂²
F₁₂ = (9.0 x \(10^9\) Nm²/C²) * |(8.0 μC) * (3.5 μC)| / (0.10 m)²
F₁₂ ≈ 252000 N
The force is positive because q₁ and q₂ have opposite charges.
Next, let's calculate the force exerted on q₂ by q₃:
F₂₃ = k * |q₂ * q₃| / r₂₃²
F₂₃ = (9.0 x \(10^9\)Nm²/C²) * |(3.5 μC) * (-2.5 μC)| / (0.15 m)²
F₂₃ ≈ -63000 N
The force is negative because q₂ and q₃ have the same charge.
Finally, we can find the net force on q₂ by summing the individual forces:
Net force = F₁₂ + F₂₃
Net force = 252000 N + (-63000 N)
Net force ≈ 189000 N
The net force on particle q₂ is approximately 189000 N.
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what produces the distinctive flame color of different substances when they are ignited?
Answer:
Electrons in different metals
Explanation:
When you heat an atom, some of its electrons are "excited* to higher energy levels. When an electron drops from one level to a lower energy level, it emits a quantum of energy. The different mix of energy differences for each atom produces different colours. Each metal gives a characteristic flame emission spectrum.
Two bodies separated from
each other at a certain distance
started moving simultaneously
to meet each other - one with ar
acceleration of 2.4 m/s, and the
other with an acceleration of 4.8
m/s2. Determine the ratio of the
displacement module of the first
body to the displacement
module of the second body at
the moment of their meeting.
The result of the ratio of the displacement module of the second body at the point of meeting is 0.5.
How to find displacement ratio?To determine the ratio of the displacement of the first body to the displacement of the second body at the moment of their meeting, use the equation of motion:
d = vt + 1/2at²
where d is the displacement, v is the initial velocity, t is the time, and a is the acceleration.
Since the bodies are moving simultaneously towards each other, then assume that their initial velocities are zero. Also, at the moment of their meeting, their displacement will be the same, d₁ = d₂.
Assume that the time at which they meet is t, then:
d₁ = 1/2 * 2.4t²
And the equation for the displacement of the second body:
d₂ = 1/2 * 4.8t²
If d₁ = d₂
then, 1/2 * 2.4t² = 1/2 * 4.8t²
Solving this equation for t and substituting it into the equation for d₁ or d₂, the ratio of the displacement of the first body to the displacement of the second body: d₁/d₂ = 2.4/4.8 = 0.5 or 1/2
So, at the moment of their meeting, the displacement of the first body is half of the displacement of the second body.
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How far does a roller coaster travel if it accelerates at 2.83 m/s2 from an initial
velocity of 3.19 m/s for 12.0 s?
Answer:
b
Explanation:
The International Space Station has a mass of 419,455 kg. When it orbits the
Earth at an altitude of 400,000 m, what is the approximate gravitational force
on the Station due to Earth's gravity? (Recall that Earth has a radius of 6.37 x
106 m, it has a mass of 5.97 x 1024 kg, and G = 6.67 x 10-11 N·m²/kg2.)
O A. 3.9 ~ 106N
B. 2.0 x 106N
O C. 3.6 x 106N
O D. 2.8 x 106N
Answer:
\(F=3.6\times 10^6\ N\)
Explanation:
Given that,
The mass of International Space Station, m = 419,455 kg
It orbits around the Earth at an altitude of, h = 400,000 m
The radius of Earth, \(r=6.37\times 10^6\ m\)
The mass of the Earth, \(m_e=5.97 \times 10^{24}\ kg\)
We need to find the approximate gravitational force on the Station due to Earth's gravity. The formula for the gravitational force between the satellite and the Earth is given by :
\(F=G\dfrac{mm_e}{(r+h)^2}\\\\F=6.67\times 10^{-11}\times \dfrac{419455\times 5.97 \times 10^{24}}{(6.37 \times 10^6+400000 )^2}\\\\F=3.6\times 10^6\ N\)
So, the required force on the station due to Earth's gravity is \(3.6\times 10^6\ N\).
.An electron of charge 1.6 x 10-19is situated in a uniform electric filed strength of 120 vm-1 Calculate the force acting on it
The force acting on the electron is 1.92 x 10^-17 N.
The problem states that an electron of charge 1.6 x 10^-19 is located in a uniform electric field of 120 Vm^-1, and it asks us to determine the force acting on it.
We can use Coulomb's law, which states that the force between two point charges is proportional to the product of their charges and inversely proportional to the square of the distance between them. If the charges are of opposite signs, the force is attractive, while if the charges are of the same sign, the force is repulsive.
The formula for Coulomb's law is F = kq1q2/r^2, where F is the force between the charges, k is Coulomb's constant, q1 and q2 are the magnitudes of the charges, and r is the distance between them.
Since the electron has a charge of 1.6 x 10^-19 C, and the electric field strength is 120 Vm^-1, we can use the equation F = qE to find the force acting on it.
F = qE = (1.6 x 10^-19 C)(120 Vm^-1) = 1.92 x 10^-17 N.
Therefore, the force acting on the electron is 1.92 x 10^-17 N.
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In the human femur, bone tissue is strongest in resisting compressive force,
approximately half as strong in resisting tensile force, and only about one-
fifth
as strong in resisting shear force. If a tensile force of 8000 N is sufficient to
produce a fracture, how much compressive force will produce a fracture?
How much shear force will produce a fracture
The compressive force that would be enough to produce a fracture is 4000 N.
What is the force?We know that the femur is one of the most important bones that we have in the human body. In this case, we have been told that In the human femur, bone tissue is strongest in resisting compressive force, approximately half as strong in resisting tensile force, and only about one- fifth as strong in resisting shear force.
Then we know that;
Tensile force = 8000
The compressive force would be half of this magnitude as such;
Compressive force = 4000 N
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which experimental evidence indicates that. electron are negatively charged particles
Answer:
Thomson's experiments with cathode ray tubes showed that all atoms contain tiny negatively charged subatomic particles or electrons.
Answer:
thomsons experiment he used ray tubes that showed all electrons contain negatively cahrged particles
Question 1 of 12
A box of straws contains 15 long straws, 15 medium straws, and 15 short
straws. Which organization of the straws has the highest entropy?
A. The long, medium, and short straws all mixed together and placed
in the box
B. All of the longest straws at one end of the box, all of the medium
straws in the middle, and all of the short straws at the other end
C. The straws placed in the box in a repeating pattern: long, then
medium, then short
D. The long straws placed at either end of the box, the short straws
placed in the middle of the box, and the medium straws placed
between the long and short straws
Answer:
A. The long, medium, and short straws all mixed together and placed
in the box
1. What is the distance covered by a T-Rex that goes from 0 m/s to 9 m/s in 6.78 seconds? (10
points)
With the use of first and third equation of motion, the distance covered by a T-Rex is 30.51 m
Linear MotionWhen a body is in linear motion, the body is moving in a straight line. some of the parameters to consider are:
Distance coveredSpeedVelocityAccelerationE.T.CGiven that a T-Rex move from 0 m/s to 9 m/s in 6.78 seconds, the distance covered can be found by calculating the acceleration.
Let us use equation 1
V = U + at
9 = 0 + 6.78a
a = 9 / 6.78
a = 1.33 m/\(s^{2}\)
Now let us use equation 3
\(v^{2}\) = \(u^{2}\) + 2as
\(9^{2}\) = 2 x 1.33 x S
81 = 2.655S
S = 81/2.655
S = 30.51 m
Therefore, the distance covered by a T-Rex is 30.51 m.
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an airplane pilot sets a compass course due west and maintains an airspeed of 225 km/h . after flying for a time of 0.500 h , she finds herself over a town a distance 121 km west and a distance 14 km south of her starting point.
An airplane pilot sets a compass course due west and maintains an airspeed of 225 \(\frac{km}{h}\) . After 0.500 hours of flight, she reaches a town 121 kilometers to the west and 14 kilometers to the south of her starting place. Her velocity at this moment is 240 \(\frac{km}{h}\) .
Using south as the negative x direction and west as the positive
positive y direction as the direction.
The aircraft's speed is= 220 \(\frac{km}{h}\)due west.
Then \(v_{x}\) = 220 \(\frac{km}{h}\)and \(v_{y}\)=0
The position of the aircraft at time t = 0.500h is 120 km west and 20 km south.
then \(S_{x}\) = 120 km and \(S_{y}\) = 20 km
Then
\(v_{x}\)= \(\frac{S_{x} }{t}=\frac{120}{0.500}\) = 240 \(\frac{km}{h}\)
\(v_{y}\)=\(\frac{S_{y} }{t}=\frac{20}{0.500}\)= 40 \(\frac{km}{h}\)
Wind velocity is a 40 \(\frac{km}{h}\) due south.
Then \(v_{windx}\)=0 and \(v_{windy}\) = 40 km/h
Then \(v_{x}\)=\(v_{aero x} +v_{wind x}\)
\(v_{aerox}=240-0\)
\(v_{aerox}=240\) \(\frac{km}{h}\)
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2. Light traveling in air (n1=1) hits a piece of glass at an angle of 45 degrees. If the glass has a refractive index of 1.5, what angle should the light bend at?
Answer:
28.1 degrees
Explanation:
Use formula: \(N_1Sin(Angle_1) = N_2Sin(Angle_2)\)
* use angles given
What is the net force required to give an automobile with a mass of 2,100 kg an acceleration of 5.4 m/s^2?
Answer:
Net force = 11340 N
Explanation:
Given that,
Mass of an automobile, m = 2100 kg
Acceleration of the automobile, a = 5.4 m/s²
We need to find the net force required for the automobile. The net force is the product of mass and acceleration. It can be given by the formula as follows :
\(F=ma\\\\F=2100\ kg\times 5.4\ m/s^2\\\\F=11340\ N\)
So, the net force is 11340 N.
An atom that loses an electron is called a/an
A. Valence electron
B. bond
C. anion
D. cation
A constant force of 8N acting on an object displaces it through a distance of 3.0 m in the direction of force. Calculate work-done by the force on the object.
\(\blue{\bold{\underline{\underline{Answer:}}}}\)
\(\green{\tt{Work\:done=24\:J}}\)\(\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}\)
\(\green{\underline{\bold{Given :}}} \\ \tt: \implies Constant \: force(F) = 8 \: N \\ \\ \tt: \implies Displacement(s) = 3 \: m \\ \\ \red{\underline{\bold{To \: Find : }}} \\ \tt: \implies Work \: Done(W.D) = ?\)
• According to given question :
\( \green{ \star} \tt \: \theta \: = 0 \degree \: \: \: \: (Angle \: between \: force \: and \: displacement) \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Work \: Done = FS \: cos \: \theta \\ \\ \tt: \implies Work \: Done = 8 \times 3 \times cos \:0 \degree \\ \\ \green{ \circ} \tt \: cos \: 0 \degree = 1 \\ \\ \tt: \implies Work \: Done =24 \times 1 \\ \\ \green{\tt: \implies Work \: Done =24 \: J}\)
What is the first job u do on the ISS if u were an astronaut
If I were an astronaut, the first job I would do on the International Space Station (ISS) would be to familiarize myself with the station and its systems.
What is expected at ISS?I would need to learn how to operate the various equipment and how to maintain the station in good working order. I would also need to learn the procedures for conducting experiments and for performing spacewalks.
Once I had a good understanding of the station and its systems, I would begin working on my assigned tasks. These tasks could include conducting experiments, performing maintenance, or teaching other astronauts new skills. I would also take the opportunity to conduct research on my own and to learn more about the space environment.
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Polaris is also called the North Star because Earth's North
Pole points toward it. As Earth rotates, other stars seem to
spin around Polaris in a counterclockwise direction. In one.
day, the stars will make one complete circle (360°) around
Polaris. Compare the positions of the constellations in the
two diagrams. Calculate how many hours have passed
between the first and second diagrams.
Answer:................
Explanation:.............
In a race, Usain Bolt accelerates at
1.99 m/s2 for the first 60.0 m, then
decelerates at -0.266 m/s2 for the final
40.0 m. What was his final velocity? (Unit = m/s)
g two point charges q1 = 2.30 nc and q2 = -6.10 nc are 0.100 m apart. point a is midway between them; point b is 0.0800 m from q1 and 0.0600 m from q2 (figure 1). take the electric potential to be zero at infinity.for related problemsolving tips and strategies, you may want to view a video tutor solution of potential and potential energy.
The electric field is -641.25 volt, potential energy is -1.76x 10⁻³ J.
What is electric field ?
The term "electric field" or "electrostatic field" refers to the area surrounding an electric charge where stress or an electric force occur. A significant amount of tension might be produced in the area if the charge is of a big magnitude. The letter E is used to denote the electric field. Newtons per coulomb, or volts per metre, is the SI unit for the electric field.
What is potential energy ?
Potential energy is energy that is preserved or stored in a material or an item. The item or substance's position, organization, or condition determines the amount of stored energy. Consider it as energy with the "potential" to accomplish work.
Va = kq1/r1 + Kq2/r2
Va = 9 x 10/0.05 (2.3 x 10⁻⁹ – 6x 10⁹)
Va = -666 volt
Vb = 9x10⁹ (2.3x10⁻⁹/.08 – 6x10⁻⁹/.06)
Vb = -641.25 volt
Work done by electric field from b to a
W e = q(Vb-Va)
W e = 3x10⁻⁹ (-641.25+666)
W e = 74.25x10⁻⁹ J
W e = qEd = 30x 10⁻⁹x 3.2x10⁴x.63
W e = 6.05x10⁻⁴ J
W e = -qEd cos 45
W e = -30x10⁻⁹x3.2x10⁴x2.6 cos 45
W e = -1.76x 10⁻³ J
Therefore, electric field is -641.25 volt, potential energy is -1.76x 10⁻³ J.
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Imagine you and a friend are trying to rearrange the furniture in your classroom. You push on a desk with a force of 50 N to the right. Your friend pushes on the same desk with a force of 50 N to the left. What is the net force on the desk?
Answer:
The net force on the desk is zero.
As part of a movie stunt, a full-size remote-controlled car is driven horizontally off a 9.00 m tall cliff at 24.40 m/s. How far (Δx) from the bottom of the cliff does the car land?
Explanation:
Find the time it takes to hit the bottom....then multiply this time by the horizontal velocity .......
Time to hit bottom :
d = 1/2 at^2
9 m = 1/2 (9.81 m/s^2) (t^2) shows t = 1.35 s
Now the horizontal displacement is
x = rate * time = 24.40 m/s * 1.35 s = 33.1 m
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C. If the speed of the wave is 25 m/s, what is the wavelength of the wave? Show data
listing, equation, substitution leading to the answer for full credit.
We are given:
Frequency of the wave = 10 Hz
Speed of the wave = 25 m/s
We can use the formula:
speed = frequency x wavelength
Rearranging the formula, we get:
wavelength = speed / frequency
Substituting the given values, we get:
wavelength = 25 m/s / 10 Hz
wavelength = 2.5 m
Therefore, the wavelength of the wave is 2.5 m.
A solenoid with 2,781 turns has a radius of 74.7 mm and is 38.4 cm long. If this solenoid carries a current of 68.4 A, what is the magnitude of the magnetic field near the center of the solenoid
Answer:
B = 0.62 T
Explanation:
Assuming that the solenoid can be treated as of infinite length (as its radius is much smaller than the length) we can consider that the magnetic field created by the current, near the center of it, is constant, and that it's almost zero outside it.Applying Ampere's law to a closed surface that encloses the wire carrying the current, we get:\(B= \mu_{o} *n*I (1)\)
where μ₀ = 4*π*10⁻⁷ T*m/A, n = turns per unit length = 2,781/0.384 m and I = 68.4 AReplacing by the givens in (1) we get:B= 4*π*10⁻⁷ T*m/A* 7242.2 (1 /m) * 68.4 A = 0.62 TB = 0.62 TA motorist travels first part of a trip at an average speed of 35 km/h and covers an equal distance in the second part. If he has completed his trip at an average speed of 21 km/h then his average speed in the second half is ------- km/h
The average speed of the motorist in the second half of the journey is determined as 7 km/h.
What is average speed?The average speed of an object is the ratio of total distance to total time of motion.
Let his average speed in the second half = x21 = (35 + x) / 2
35 + x = 42
x = 42 - 35
x = 7 km/h
Thus, the average speed of the motorist in the second half of the journey is determined as 7 km/h.
Learn more about average speed here: https://brainly.com/question/6504879
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