The electric field owing to the positive ion may be used to calculate the net electric field at position A to the left of the ion. The electric field generated by a point charge may be calculated as follows.
E = k * q / r^2 where k is the Coulomb constant, q is the ion's charge, and r is the distance between the ion and the place where the electric field is computed (in this case, location A). Because the positive ion has a positive charge, the electric field will be directed towards it. We need to know the values of k, q, and r to calculate the magnitude of the electric field. The magnitude of the electric field is then computed as follows: sqrt(E x2 + E y2 + E z2) = |E| where E x, E y, and E z are the electric field components in the x, y, and z directions, respectively.
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A 2kg crate rests on the floor. How much work is required to move it at constant speed 3m a frictionless air table,
The work required to move the crate is 30 Joules (J). This is calculated by multiplying the force (10N) by the distance (3m).
How much work is required to move it at constant speedThe amount of work required to move an object at a constant speed is equal to the force applied times the distance traveled.
Therefore, the amount of work required to move an object at a constant speed is dependent on the specifics of the situation,
such as the mass of the object and the distance it needs to be moved.
Explanation given below
In the given question force added ,(if the force required to move it is 10N)
Step 1: Calculate the work required to move the crate.
Work = Force x Distance
Work = 10N x 3m
Work = 30J
Step 2: Record the answer.
The work required to move the crate is 30J.
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A slide loving pig slides down a certain 43° slide in three times the time it would take to slide down a frictionless 43° slide. What is the coefficient of kinetic friction between the pig and the slide?
The coefficient of kinetic friction if the loving pig slides down a certain 43° slide in three times the time it would take to slide down a frictionless 43° slide is 1.35.
What is friction ?Friction is a kind of force that opposes the force which is making a displacement of the object.
Analyze the forces on the pig of mass m. The incline angle is θ.
The +x direction is “downhill. Then apply Newton’s second law to the x- and y-axes
leads to
mgsinθ−f = ma
Solving these along result for the pig’s downhill acceleration:
a=g(sinθ−μcosθ)
To determine the time to slide from rest through a downhill distance l , we use :
l=vt+ 1/2 at² ⇒t= √3l/a
which leads us to conclude that if t/t =9a. Putting in what we found out
above about the accelerations, we
have
gsinθ=9g(sinθ−μcosθ)
Apply the angle θ = 43. We will obtain the value of μ as 1.35.
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Javier wants to improve his flexibility and increase his personal discipline. Which community resource should he select? (3 points)
a
Tennis lessons
b
Soccer league
c
Swim club
d
Karate class
Answer:
D. Karate class
D or Karate Class
Karate Class is the best way to learn discipline because you need focus to participate and need to know your surroundings which is part of discipline.
An estimated force–time curve for a baseball struck by a bat is shown in the figure below. Let Fmax = 20 000 N, ta = 1.5 ms, and tb = 3 ms.
(a) the magnitude of the impulse delivered to the ball. (Newtons)
(b) the average force exerted on the ball. (kilo-Newtons)
Area under the F-t graph gives the impulse delivered to the ball.
Impulse J=21×18000×1.5=13500 Ns
Force exerted on the ball F= ΔtJ =1.513500=9000 N
Maximum force exerted on the ball is 20000 N
Fmax = 20000 N
ta = 1.5 ms
tb = 3 ms
Fmax = 20000 N
ta = 1.5 ms
tb = 3 ms
(a) The impulse is given by the area of force time graph.
Impulse = 0.5 (3 - 1.5) x 10-3 x 20000 = 42.75 Ns
(b) The average force is given by
Impulse =average force x time
42.75 = Average force x 1.5 x 10-3
Average force = 28500 N
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3. if the distance between earth and the moon is 3.8× 105 km, how many times bigger is the distance from earth to the nearest star, which is at a distance of 4.1× 1013 km?
The required ratio of distance between the earth to the nearest star to that of the earth and the moon is calculated to be 1.08 × 10⁸.
The distance between the earth and the moon is given as 3.8 × 10⁵ km.
The distance between the earth to the nearest star is given as 4.1× 10¹³ km.
The ratio of distance between the earth and the nearest star to the earth and the moon is calculated as,
⇒ (4.1× 10¹³ km)/(3.8 × 10⁵ km) = 1.08 × 10⁸
Thus, the distance from the earth to the nearest star is 1.08 × 10⁸ times bigger than the distance between the earth and the moon.
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calculate the size (in t) of the magnetic field 23 m below a high voltage power line. the line carries 350 mw at a voltage of 350,000 v.
The size of the magnetic field is 24T.
The magnetic field (B) produced by a high voltage power line can be calculated using the formula:
B = μ x I / 2 x π x r
where:
μ is the magnetic constant (4π x 10⁻⁷ T m/A)
I is the current in the power line
r is the distance from the power line
To calculate the current (I), we first need to calculate the power (P) of the power line using the formula:
P = V² /R
V is the voltage of the power line
R is the resistance of the power line
Since the resistance (R) of the power line is not given, we can use the formula:
P = I² x R
to calculate the resistance (R) in terms of the current (I) and the power (P). Substituting this formula into the formula for power (P), we get:
R = P / I²
Substituting the given values, we get:
R = 350 x 10⁶ W / (I²)
I = √(350 x 10⁶ W / R)
P = 350 x 10⁶ W
V = 350 x 10³ V
A magnetic field is a field that surrounds a magnet or a moving charged particle, and produces a force that can affect other magnets or charged particles within the field. The magnetic field is a vector field and can be represented by the direction and magnitude of the field lines. The strength of a magnetic field can be measured in units of tesla (T).
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(e) chapter 5 - problem 32. under what conditions, if any, will the trajectory of a charged particle not follow a field line?
a charged particle's trajectory won't resemble a field line:
The charged particle's trajectory will veer away from the field line if it is subjected to additional forces, such as a magnetic field or an electric field from another source.
The trajectory of a charged particle will alter and diverge from the field line if it collides with another particle.
Field lines illustrate the hypothetical path taken by a positive test charge in the presence of an electric field. The charged particle will follow the field lines if the conditions are such that it is only exposed to the portion of the electric field indicated by the field lines.The charged particle may encounter additional forces in real-world situations, which could cause it to diverge from the field lines in its trajectory.
For instance, a charged particle will move more crookedly than directly when a magnetic field is present. Additionally, if the charged particle collides with another particle, the trajectory will alter as a result of the momentum that is transferred, and the charged particle will stop following the field line.
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for a nucleus to exhibit the nuclear magnetic resonance phenomenon, it must be magnetic. magnetic nuclei include:
The nuclei that exhibit the nuclear magnetic resonance phenomenon, the magnetic nuclei include all nuclei with even numbers of neutrons and protons.
Nuclei with certain magnetic characteristics are required in materials that take part in the MR process. The nuclei themselves must be tiny magnets with a magnetic property or magnetic moment in order for them to interact with a magnetic field.
An individual nucleus's neutron-proton composition determines its magnetic properties. Only some nuclides with an unusual balance of neutrons and protons exhibit magnetic properties.
All nuclei with even numbers of neutrons and protons are magnetic nuclei. Therefore, option a is correct.
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--The complete question is, For a nucleus to exhibit the nuclear magnetic resonance phenomenon, it must be magnetic. Magnetic nuclei
include:
a. all nuclei with even numbers of neutrons and protons
b. all nuclei with odd numbers of protons
c. all nuclei with odd numbers of neutrons
d. both b and c--
what happens to the resistance of a resistor made in the form of a rectangular block when all three of its dimensions are reduced to a third of their initial values?
After reducing the dimensions, the new resistance of the rectangular block will be three times of the initial value.
Let us assume that initially dimensional conditions of the rectangular blocks are like this,
B is breadth,
L is length,
H is the height,
p is the resistivity.
Now, the resistance will be given by,
R = pL/(BxH)
Now, when the dimension are reduced to a third of the initial values, we get new resistance,
R' = (pL/3)/(BxH/9)
R' = 3pL/(BxH)
Putting R = pL/(BxH),
R' = 3R
So, the new resistance will be three times of the initial value.
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an ocean buoy is 2.0 m tall. at a certain time of day the shadow of the buoy is 1.0m long. what possible length(s) will the shadow be 2 hours later? the time from sunrise to sunset is 15 hours.
2 hours later the shadow will be 2.2 m long given that the time from sunrise to sunset is 15 hours.
If the time from sunrise to sunset is 15 hours, then the shadow of the buoy will be 2.0m long in 2 hours, since the shadow length increases at a rate of 1/15th of the buoy's height per hour.
To show the calculations, we can use the formula:
Shadow Length = 2.0m + (2 hours * (2.0m/15 hours))
Therefore, the shadow length in 2 hours will be 2.0m + (2 * (2.0/15)) = 2.2m
Assuming that the sun's position remains the same, the shadow of the ocean boy will be 2.2 m long 2 hours later. This is because the sun's position change throughout the day, so the shadow will not remain the same length for a given time. However, if the time from sunrise to sunset is 15 hours, then the shadow of the ocean boy will be 2.2 m long 2 hours later. This is because the sun's position moves across the sky throughout the day, so the shadow of the object will be shorter as the day progresses.
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to what speed (in km h –1) could you theoretically accelerate a car (mass: 1t) with this energy
3.6 kmph speed (in km h –1) you could theoretically accelerate a car (mass: 1t) with this energy.
The speed to which you could theoretically accelerate a car of mass 1 metric ton (1000 kg) depends on the amount of energy available to do so. In physics, the relationship between energy and velocity is given by the formula:
E = [tex]0.5mv^2[/tex]
Where m is the mass of the car and v is its velocity. So to find the velocity, we can rearrange the formula to solve for v:
v = [tex]\sqrt{} (2E/m)[/tex]
If we assume that the energy available for acceleration is E, then the velocity can be calculated as follows:
v = [tex]\sqrt{} (2E/1000 kg)[/tex]
Note that the units of energy must be consistent with those in the accelerate formula. In this case, if E is given in joules, then the velocity will be in meters per second. To convert the velocity to km/h, we need to multiply by (3600 s/hr)/(1000 m/km) = 3.6. So:
v (km/hr) = [tex]\sqrt{} (2E/1000 kg) * 3.6[/tex]
This formula gives the theoretical maximum velocity that could be achieved, assuming all of the energy is used for acceleration and ignoring any other factors such as friction or air resistance.
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The complete question is
You have one coal available
To what speed (in km h –1) could you theoretically accelerate a car (mass: 1t) with this energy?
suppose you have a network of resistors with a total resistance r sub eq is equal to r sub i. if you hook up one more small resistor (compared to r sub i) in parallel with the original network, what would happen to the overall equivalent resistance?
In parallel with the original network R sub eq will increase a small amount.
What is Resistance ?Resistance is a measure of an object's opposition to the flow of electric current. In electrical circuits, it is the property of a material that resists the flow of electric charge and converts electrical energy into other forms of energy, such as heat.
Resistance is measured in ohms (Ω) and is determined by the properties of the material and its dimensions. Resistance is an important factor in the design of electrical systems, as it can affect the behavior and efficiency of the circuit. The amount of resistance in a circuit can be increased or decreased by changing the length, cross-sectional area, and composition of the material through which the current flows.
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approximately how far does the moon move along the zodiac in one day? group of answer choices 3 degrees 60 degrees 24 degrees 12 degrees
The moon moves approximately 12 degrees along the zodiac in one day.
The Moon is the Earth's only natural satellite and the fifth largest moon in the Solar System. It is approximately one-quarter the size of Earth and is approximately 238,855 miles from Earth. The Moon's surface is characterized by craters, mountains, valleys, and vast plains. It has no atmosphere, no water, and only a small amount of dust. The Moon's surface is also heavily cratered, with many impact craters from collisions with meteoroids and asteroids. The Moon has a significant effect on Earth, producing tides, stabilizing the planet's axial tilt, and providing a unique environment for scientific research and exploration. The first humans landed on the Moon in 1969 as part of the Apollo 11 mission, and since then several missions have been sent to explore and study the Moon.
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A 4 kg blob of putty moving at 5 m/ lam into a 2 kg blob of putty at ret. What i the peed of the two tuck-together blob immediately after colliding?
The speed of the two-blob system immediately after collision can be calculated using the conservation of momentum principle. According to this principle, the total momentum of a closed system remains constant if no external forces act on it. In this case, the initial momentum of the 4 kg blob is 4 kg x 5 m/s = 20 kg m/s and the initial momentum of the 2 kg blob is 0 (at rest).
The total initial momentum is 20 kg m/s. After the collision, the two blobs stick together and form a single 6 kg blob, so the final momentum of the system is mv, where m is the total mass of the system (6 kg) and v is the velocity of the system.
From the conservation of momentum principle, we have:
m1 x v1 + m2 x v2 = mf x v
where m1, v1 are the mass and velocity of the first blob before the collision, m2, v2 are the mass and velocity of the second blob before the collision, mf is the total mass of the system after the collision (6 kg), and v is the velocity of the system after the collision.
Substituting the values, we get:
4 kg x 5 m/s + 2 kg x 0 m/s = 6 kg x v
Solving for v, we get:
v = (4 kg x 5 m/s) / 6 kg = 1.3 m/s
So, the speed of the two-blob system immediately after collision is 1.3 m/s.
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An electron travels here at a uniform velocity of 1. 3 x 10^5 m/s. How much time is required for a displacement of 1. 00 m?
the time required for a displacement of 1.00 m for an electron traveling at a uniform velocity of 1.3 x [tex]10^{5}[/tex] m/s is approximately 7.69 x [tex]10^{-7}[/tex]seconds.
To find the time required for a displacement of 1.00 m, we can use the formula:
time = displacement ÷ velocity
Substituting the values, we have:
time = 1.00 m ÷ 1.3 x [tex]10^{5}[/tex] m/s
time = 7.69 x [tex]10^{-7}[/tex] seconds
this calculation demonstrates the extremely short time scales involved in the motion of electrons, which can move extremely quickly due to their small size and mass.
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1. Derive the formula for the theta (0) angle in degrees from the arc distance on the film. 2.How will you use the "d" values you determined to identify the phase with the reference text and indices? You will need to be specific. 3. What does 3.56x and 2.478 signify? 4. Explain the different geometries (2) of a diffractometer? Where is the sample, source, and detector? 5. What is the radiation source in the Miniflex instrument? What is the detector? 6. Discuss 3 different X-ray radiation detectors. Do no include film. 7. Can different phases in a mixture be analyzed quantitatively? How?
By dividing the arc length by the circle's circumference and multiplying the result by 360 degrees, one can calculate the angle of an arc.
(1) Arc Length = θ × (π/180) × r, where r is the radius and L is the length of an arc. θ = The arc's central angle.
(2) Each plane has a specific d-spacing. This is the separation between two successive, parallel atomic planes. Active and neutral wires are included in a single phase. At the switchboard, the neutral wire is attached to the earth. Three active wires, often known as phases, and one neutral wire make up a three phase system.
(3) The distances of 3.56x and 2.478 represent the distances between the radiation source and detector, respectively.
(4) The density and kind of detector material, as well as the radiation energy to be measured, all influence detector efficiency. Gas-filled detectors, scintillation detectors, and semiconductor detectors are the three types of X-ray detectors used in XRF spectrometers.
(5) An instrument for examining and measuring the structure of materials is called an X-ray diffractometer, or XRD machine. X-rays are the best choice for investigating the interplanar distances in crystalline materials since they have a high energy and short wavelength compared to visible light.
(6) According to the particular requirements of the equipment, three types of detectors are most frequently employed when referring to radiation detection instruments. These three types of detectors are solid state, gas-filled, and scintillators.
(7) Using X-ray diffraction (XRD) patterns, quantitative phase analysis calculates the relative proportion of elemental elements or phases. The relative amount of a given phase in the mixture affects the intensity of that phase's diffraction lines.
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which two factors help keep the fluid in the vascular compartment
Plasma protein and plasma colloid osmotic pressure keep the fluid in the vascular compartment.
Plasma proteins are the substances that cannot pass through the capillary wall, which develops an osmotic pressure. This pressure is called the colloid osmotic pressure. It is named to differentiate it from the osmotic pressure through the cell membrane. The concentration of proteins in the interstitial volume is 3 gm/dl and in the plasma is 7.5 gm/dl.
The protein with the maximum contribution to the colloid osmotic pressure in the plasma space is albumin with 21.8 mm Hg, which is followed by globulins (6 mm Hg), and then fibrinogen (0.2 mm Hg), giving a total colloid pressure of 28 mm Hg to move fluids inward.
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masahisa s ball is on a minurature golf gree,. 3m west of the hole. unfortunately, masahisa hits the ball the wrong direction, 18 degrees south of east. the ball travels 5m then hits the curb on the edge of the green and rolls north for 2.5m before stoppping. find the balls final position relative to the hole
Masahisa's ball is 5.5 meters west and 2.5 meters north of the hole, assuming the curb on the edge of the green was at 0 degrees south of east.
This is a common mistake made by many golfers, as the direction of the shot is not always in line with the intended target. It's important to take the time to focus on your shot before hitting the ball, as this can drastically improve your accuracy and performance.
Additionally, understanding the terrain of the course and the obstacles it presents is key to successful golfing. Knowing the slope, speed of the green, and any other hazards, can help you plan your shots more accurately and ultimately result in a better score.
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In a Little Sticks hockey game at the community ice rink, a 0.102 kg hockey puck moving at 26.4 m/s is caught and held by a 40.9 kg goalie who is at rest. With what speed (in cm/s) does the goalie slide on the ice after the catch?
Answer:
Approximately [tex]6.57\; {\rm cm \cdot s^{-1}}[/tex].
Explanation:
When an object of mass [tex]m[/tex] travels at a velocity of [tex]v[/tex], the momentum [tex]p[/tex] of that object would be [tex]p = m\, v[/tex].
Before the catch:
Velocity of the hockey puck: [tex]26.4\; {\rm m\cdot s^{-1}}[/tex]. Mass of the hockey puck: [tex]0.102\; {\rm kg}[/tex]. Momentum of the hockey would be [tex](26.4\; {\rm m\cdot s^{-1}})\, (0.102\; {\rm kg}) = 2.6928\; {\rm kg\cdot m\cdot s^{-1}}[/tex].Velocity of the goalie: [tex]0\; {\rm m\cdot s^{-1}}[/tex]. Momentum of the goalie would be [tex]0\; {\rm kg\cdot m\cdot s^{-1}}[/tex].Therefore, the total momentum of the hockey and the goalie before the catch was:
[tex]2.6928\; {\rm kg\cdot m\cdot s^{-1}} + 0\; {\rm kg \cdot m\cdot s^{-1}} = 2.6928\; {\rm kg\cdot m\cdot s^{-1}}[/tex]
The goalie and the hockey move at the same velocity after the catch. Let [tex]v[/tex] denote that velocity. The total momentum of them would be:
[tex]\begin{aligned}& m(\text{goalie})\, v + m(\text{hockey})\, v \\ =\; & (m(\text{goalie})+ m(\text{hockey}))\, v \end{aligned}[/tex].
Assume that momentum is conserved during the catch. Hence:
[tex]\begin{aligned}& (m(\text{goalie})+ m(\text{hockey}))\, v \\ &= (\text{momentum after catch}) \\ &= (\text{momentum before catch}) \\ &= 2.9628\; {\rm kg \cdot m\cdot s^{-1}}\end{aligned}[/tex].
Rearrange the equation to find [tex]v[/tex], the velocity of the goalie and the hockey after the catch:
[tex]\begin{aligned}v &= \frac{2.9628\; {\rm kg \cdot m\cdot s^{-1}}}{m(\text{goalie})+ m(\text{hockey})} \\ &= \frac{2.9628\; {\rm kg \cdot m\cdot s^{-1}}}{0.102\; {\rm kg} + 40.9\; {\rm kg}} \\ &\approx 0.0657\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
Apply unit conversion:
[tex]\begin{aligned}v &\approx 0.0657\; {\rm m\cdot s^{-1}} = 6.57\; {\rm cm\cdot s^{-1}}\end{aligned}[/tex].
describe how to use a 250 μl adjustable micropipet to deliver 100 μl of liquid by placing the steps in the correct order.
The steps are as follows:
Calibrate the micropipet by adjusting the volume to 250 μl. Load the liquid into the micropipet by carefully drawing it into the tip. Release any air bubbles by tapping the tip and expelling a small amount of liquid. Adjust the micropipet volume to 100 μl. Deliver the liquid by gently squeezing the plunger to release the liquid.
A micropipet is a laboratory tool used to measure and dispense small volumes of liquid accurately, usually in the microliter range. It consists of a barrel, a plunger, and a tip and is commonly used in chemical, biological, and medical experiments. To use a micropipet in a laboratory setting, first choose the appropriate tip size for the volume of liquid you will be dispensing and attach it to the micropipet. Next, calibrate the micropipet by adjusting the volume to the desired amount. You can do this by rotating the micropipet's thumb wheel or by using the digital controls. Then, draw the liquid into the tip of the micropipet by carefully using the plunger. Make sure to release any air bubbles that may have been drawn into the tip by tapping the tip gently and expelling a small amount of liquid.
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if (c/sec), what is the current in milliamps when a static charge of 0.30 μc moves from your finger to a metal doorknob in 2 milliseconds ?
The required current in milliamps when charge and time are given is calculated to be 0.15 milliamps.
Current is known to be defined as rate of flow of charge.
If q is the charge represented in coulombs, t is in seconds, then i is represented in ampere.
Mathematically, i = q/t
Here, static charge q is given as 0.3 μc = 0.3 × 10⁻⁶ c
Time t is given as 2 milliseconds = 2 × 10⁻³ s
Now, let us find the current in milliamps.
i = q/t
Current i = (0.3 × 10⁻⁶)/(2 × 10⁻³) = 0.15 × 10⁻³ A = 0.15 milliamps
Thus, the current is calculated to be 0.15 milliamps.
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the unit of measurement of the magnetic field surrounding the periphery of the mr scanner is expressed as:
The magnetic field that surrounds the edge of the MR scanner is measured in units called Gauss.
How do MR scanners work?
A type of scan called magnetic resonance imaging (MRI) creates precise images of the inside of the body by combining radio waves and powerful magnetic fields. An MRI scanner is a sizable tube with strong magnets inside.
The same machine used for traditional MRI is used for MR spectroscopy. To produce precise images, the MRI scan makes use of a strong magnet, radio waves, and a computer.
One wearable device called mixed reality (MR) combines multiple technologies. A real-time digital overlay that interacts with objects in the physical world is displayed by MR lenses or headsets.
Milliseconds are used to measure it. TE, or echo time
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what is the angle between the vectors ⃗ and −⃗ when these vectors are drawn from a common origin?
Angle between two vectors:
Two vectors can be used to determine the angle between them by using the dot product formula. The dot product is the product of the magnitudes of the two vectors and the cosine of the angle between them. If we have two vectors, ⃗ and −⃗, the dot product of these two vectors can be determined as follows:
⃗ ⋅ −⃗ = |⃗||−⃗| cos θ
where θ is the angle between the two vectors.
To find the angle between two vectors, we can use the arccosine function, which is the inverse of the cosine function. The arccosine function returns the angle, in radians, whose cosine is a given value. Hence, to find the angle between two vectors, we can use the following formula:
θ = arccos (⃗ ⋅ −⃗ / |⃗||−⃗|)
Note that the dot product can only give us the cosine of the angle between two vectors, so we have to use the arccosine function to find the actual angle. The result will be in radians, but it can easily be converted to degrees if necessary.
In summary, to find the angle between two vectors, we first find the dot product of the two vectors, then divide that result by the product of the magnitudes of the two vectors. Finally, we find the arccosine of that result to obtain the angle between the two vectors.
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how does a machine make work easier? a machine makes work easier by changing . choose the three statements that apply.
Machines make work easier by A: "increasing the amount of force that is exerted", C: increasing the distance over which the force is exerted" ,and D: "changing the direction in which the force is exerted".
A machine makes work easier by increasing the mechanical advantage of the task being performed. Mechanical advantage refers to the ratio of the force applied to the machine to the force produced by the machine. By using a machine, a smaller force can be used to achieve the same result as using a larger force without the machine.
"
Complete question:
How does a machine make work easier?
by increasing the amount of force that is applied,
decreasing the distance over which the force is applied.
increasing the distance over which the force is applied.
changing the direction in which the force is applied.
"
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a thin lens of focal length 35 cm forms a real image 6.1 times as high as the object. how far apart are the object and image? answer in units of cm. answer in units of cm.
Object and image are 0 cm far apart .
The thin lens equation for an object distance "d_o" and image distance "d_i" with focal length "f" is:
1/d_o + 1/d_i = 1/f
The height of the image is given as 6.1 times the height of the object, so the magnification "m" is:
m = -d_i / d_o = h_i / h_o = 6.1
Rearranging the magnification equation, we have:
d_i = -m * d_o
Substituting the thin lens equation into the magnification equation:
d_i = -m / (1/d_o + 1/f)
Substituting the known values:
d_i = -6.1 / (1/d_o + 1/35)
Solving for d_o, we find:
d_o = (35 * 6.1) / (6.1 - 1) = 210 cm
The distance between the object and image is:
d = d_i - d_o = 210 - 210 = 0 cm
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if the radius is 54 meters and the velocity is 54 km/h what is θ
The angle θ is 22.5° when the radius is 54 meters and the velocity is 54 km/h.
Given the radius (r) = 54m
The velocity (v) = 54km/h x 5/18 = 15m/s
Let the angle at tangent in a circular path = θ
We know that from tangent of circle tan θ= v^2/rg where g is the gravity = 10m/s^2
Here since the body moves along circular path as radius is given centripetal force acts on it. A force that causes a body to follow a curved path is known as a centripetal force. Any force that changes the direction of motion toward the center of a circular motion is known as a centripetal force.
tanθ = 15 x 15/ 54 x 10 = 0.416
θ = tan-(0.416)
θ = 22.5
Hence, the angle of tangent = 22.5°
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suppose you live on the moon. if the sun is currently on your meridian, how long will it take before the sun crosses your meridian again? group of answer choices 24 hours. 29.5 days 23 hours and 56 minutes. 18 years. 27.3 days.
The time it takes for the sun to cross the meridian again depends on the period of rotation of the moon. The moon rotates once in about 27.3 Earth days, so it takes about 27.3 days for the sun to cross the meridian again.
The solar system is a collection of celestial bodies, including the sun and all objects that orbit around it, such as planets, moons, asteroids, comets, and other smaller bodies. The eight planets in our solar system, in order from the sun, are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune. The sun is the center of the solar system and provides most of the energy and light for the planets. The solar system is located in the Milky Way galaxy and is thought to have formed about 4.6 billion years ago. the time by the celestial body to cross the meridian is dependent on the shape of the body and the distance and speed.
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A 3 kg ball is moving at 2.0 m/s to the right. It runs into a 1 kg ball moving at 0.5 m/s to the left. The balls bounce off each other.
Q. If the 3 kg ball moves at 1 m/s to the left after the collision, how fast must the 1 kg ball be going after the collision? Show the equation and work
Answer:
The Answer Is O.5 m/s
Explanation:
we have an equation:
m1u1 + m2u2=m1v1 + m2v2(u is for before collison and v is for after collision)
rearrange,
m1u1 + m2u2 - m1v1 ÷ m2 = v2Put values and answer will be 0.5m/s
Answer:
3.5
Explanation:
we have an equation:
m1u1+m2u2=m1v1+m2v2 where, m=mass
v=final velocity
u=intial velocity
then this means:
v2=m1u1+m2u2-m1v1÷m2
when we substitute on the equation:
v2=3×2.0+1×0.5-3×1÷1
=6+0.5-3
=6.5-3
=3.5
vessel at rest explodes, breaking into three pieces. two pieces, having equal mass, fly off perpendicular to one another with the same speed of 30 m/s. the third piece has three times the mass of each other piece. calculate the magnitude of its velocity immediately after the explosion.
The magnitude of its velocity immediately after the explosion is A) 102√135°.
After an explosion, the momentum of the original vessel must be conserved. If we consider the x and y components separately, the x and y components of the momentum of the two equal mass pieces are equal and opposite, so they cancel each other out.
The momentum of the third piece must equal the total initial momentum, so its velocity can be calculated using the equation for momentum: mv = m1v1 + m2v2 + m3v3.
Since the two equal mass pieces have the same velocity, the magnitude of the velocity of the third piece is √(30^2 + 30^2) = 102√, and it will be at an angle of 135° from the x-axis.
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The complete question is attached below.
an insulating rod is positively charged, and an electrically neutral conducting sphere is mounted on an insulating stand. the rod is brought near to the sphere on the left, but they never actually touch. which image that best represents the resulting charge distribution on the conducting sphere?
The image that best represents the resulting charge distribution on the conducting sphere is one where the rod is held close to the left side of the sphere on the stand, causing the left side of the sphere to become positively charged.
The rest of the sphere will remain neutral since the rod is not close enough to touch it. The positive charge on the left side of the sphere will cause the electrons in the material of the sphere to move away from it, leaving an area of positive charge on the left side. On the right side of the sphere, the electrons will remain in place, resulting in a neutral charge.
The image is provided below
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