The argument that best supports the student's claim is that a charged particle creates an electric field around it, which can exert a force on other charged particles within its space.
An electric field is a field of force that surrounds a charged particle and extends through the space around it. The strength of the electric field at a given point is proportional to the amount of charge at the source and decreases as the distance from the source increases. When a charged particle is placed within the electric field created by another charged particle, it experiences a force due to the interaction between its charge and the electric field. This force is proportional to the strength of the electric field and the charge on the particle.
Therefore, if an object is placed between two charged metal plates, one positively charged and one negatively charged, the electric field created by each plate will exert a force on the object. The magnitude and direction of the force will depend on the strength and direction of the electric fields created by the two plates and the charge on the object. This supports the student's claim that the space around a charged particle will exert a force on any other charged particle that is placed within this space.
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What is the final velocity of an object that accelerates from rest at 3, point, 5, m, slash, s, squared,3.5m/s
2
for 8, point, 5, s,8.5s?
The final velocity of the object is 29.75 m/s.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
The acceleration of the object = 3.5 m/s²
The initial velocity of the object = 0 m/s.
Time interval = 8.5 second.
Hence, form basic kinematics, we can write the final velocity becomes = initial velocity + acceleration × time interval
= 0 + 3.5 × 8.5 m/s
= 29.75 m/s
Hence, the final velocity of the object is 29.75 m/s.
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Your question is incomplete but most probably the question was:
What is the final velocity of an object that accelerates from rest at 3.5m/s² for 8.5 s?
2. A solid disk with a mass of 0.165 kg and a radius of 0.215 m that is spinning at 35 rad/s counterclockwise can be stopped by a hand in 0.15 sec. What is the average torque exerted on the disk by the hand? (Hint: first use kinematics, then use Newton's second law)
The average torque exerted on the disk by the hand is -5.49 Nm.
What is torque?
Torque can be defined as a force exerted at a distance from the axis of rotation.
To find the average torque exerted on the disk, we need to calculate the angular acceleration and then use the equation for torque:
Torque = I * alpha, where I is the moment of inertia and alpha is the angular acceleration.
First, let's find the angular acceleration:
Initial angular velocity = 35 rad/s
Final angular velocity = 0 rad/s
Time = 0.15 s
Using the kinematic equation for angular acceleration:
alpha = (Final angular velocity - Initial angular velocity) / Time
alpha = (0 - 35) / 0.15
alpha = -233.33 rad/s^2
Next, let's find the moment of inertia of the solid disk:
I = (1/2) * m * r^2
I = (1/2) * 0.165 kg * (0.215 m)^2
I = 0.0234 kg m^2
Finally, let's find the average torque:
Torque = I * alpha
Torque = 0.0234 kg m^2 * -233.33 rad/s^2
Torque = -5.49 Nm
Therefore, The average torque exerted on the disk by the hand is -5.49 Nm.
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describe the relationship between the wavelength and the frequency of a wave.
The relationship between wavelength and frequency of a wave is well established in physics and is described in the provided search results. According to the frequency of a wave multiplied by its wavelength gives the speed of the wave. In 2, the relationship is described using the equation frequency x wavelength = speed of light, where frequency (v) and wavelength (λ) are related to the speed of light (c).
The relationship between frequency and wavelength is also described in 3, where the wave speed is equal to the product of its frequency and wavelength. This is expressed as v = f * λ, where v is the wave speed, f is the frequency, and λ is the wavelength. In summary, the wavelength and frequency of a wave are directly proportional to each other, and the product of their values gives the speed of the wave.
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Two point in a rectangular coordinate ytem have the coordinate (5. 0, 2. 7) and (−3. 1, 5. 5), where the unit are centimeter. Determine the ditance between thee point
8.57cm is the distance between thee point
Define distance .
The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The length of the entire journey taken to get from one point to another is the distance traveled.
Displacement is just the distance between the object's initial location and its final location. The amount of distance an object travels in a specific length of time is measured in terms of velocity.
d is [tex]\sqrt{x} (x2-x1)^2 + (y2-y1)^2[/tex]
x1 ,y1 is 5.0, 2.7
x2, y2 is -3.1, 5.5
d will be sqrt.(--3.1-5)^2 + (5.5-2.7)^2 i.e. 8.57cm
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what is the formula that you use for, How many miles did a plane travel if it flew 455 miles per hour in 3 hours?
Answer: 1365 miles.
Explanation: Good evening.
There is no formula to determine how many miles a plane flies in a certain set of time. If it gives you the time, and distance, all you have to do is multiply. It tells you to find how many miles it traveled in total.
A truck travels on a straight road at a velocity of 17 meters per second. Over 20 seconds, it accelerates uniformly to 27 meters per second. What was the acceleration of the truck in m/s2?.
A truck travels on a straight road at a velocity of 17 meters per second. Over 20 seconds, it accelerates uniformly to 27 meters per second. The acceleration of the truck was 0.5 m/s^2
The velocity of the truck after 20 seconds is 27 m/s and its initial velocity was 17 m/s, so the change in velocity is:
Δv = 27 m/s - 17 m/s = 10 m/s
The acceleration can be calculated as the change in velocity divided by the time it took to change, so:
a = Δv / t = 10 m/s / 20 s = 0.5 m/s^2
Acceleration is a measure of the rate of change of velocity over time. It is a vector quantity, meaning it has both magnitude and direction, and is defined as the derivative of velocity with respect to time. In other words, acceleration is the rate at which an object's velocity is changing. If an object is moving in a straight line and its velocity is increasing, then it is accelerating. If the velocity is decreasing, then the object is decelerating.
Acceleration has units of meters per second squared (m/s^2). Positive acceleration means an increase in velocity, while negative acceleration means a decrease in velocity. For example, when an object is accelerating upwards, its acceleration is positive, while when it is falling, its acceleration is negative.
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A researcher adds H20 to a graduate cylinder to the 30.0 mL mark. After measuring a mass of an object to be 48.40 grams, the object is immersed and the new water level is at the 38.5 mL mark. Find the density and specific gravity of the object
Answer:
Explanation:
Density = m/v
= 48.4/8.5
= 5.69411 gm/cm^3
Specific gravity = Density of object/ Denstity of water at 4'C
= 5.69411
The density of the object is 57142 g/L and its specific gravity is 57142
To find the density of the object, we need to calculate its volume. We can use the displacement method to determine the volume of the object. The volume of the object is equal to the difference in water level before and after immersion, which is 38.5 mL - 30.0 mL = 8.5 mL. We can convert this volume to cm^3 by multiplying by 10^-3.
The density of the object is given by the formula:
density = mass/volume
where the mass of the object is 48.40 grams.
Plugging in the values,
density = 48.40 g / (8.5 x 10^-3 L) = 57142 g/L
The specific gravity of the object is defined as its density relative to the density of water, which is 1000 kg/m^3 or 1 g/mL. The specific gravity of the object can be calculated as follows:
specific gravity = density of object/density of water
specific gravity = 57142 g/L / 1 g/mL = 57142
So, the density of the object is 57142 g/L and its specific gravity is 57142.
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what two measurements are necessary for calculating speed?
The two measurements that are necessary for calculating speed are distance and time. To find the average speed, you divide the distance by the time.
[tex]speed=\dfrac{distance}{time}[/tex]
The figure shows three ropes tied together in a knot. One of your friends pulls on a rope with 3.0 units of force and another pulls on a second rope with 5.0 units of force. What force (magnitude and direction) must you apply to the third rope to keep the knot from moving?
A total force of 8.0 units would be applied in the opposite direction of both ropes as a result.
What force is it?An influence known as force can alter an object's motion, direction, shape, or resting state. It is one of physics' fundamental ideas. Contact forces and field forces are the two types of forces.
The normal force, air resistance, and friction are all examples of contact forces. Gravity, the electric force, and the magnetic force are all examples of field forces. The magnitude, direction, and duration of a force can all be measured.
A force's magnitude indicates its strength, and its direction indicates its direction of action. The amount of time a force is applied is its duration.
The knot must have zero net force in order to remain stationary. To put it another way, all of the forces must add up to zero. As a result, you will need to apply forces of 3.0 units in the first rope's opposite direction and 5.0 units in the second rope's opposite direction.
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What is the final speed of an object that starts from rest and accelerates uniformly at 4. 0 meters per second 2 over a distance of 18. 0 meters?.
Answer:
12 m/s
Explanation:
The final speed of an object that is subjected to uniform acceleration can be calculated using the equation:
v^2 = u^2 + 2as
where v is the final speed, u is the initial speed (in this case, 0 m/s since the object starts from rest), a is the acceleration (4.0 m/s^2 in this case), and s is the distance traveled (18.0 m in this case).
Plugging in the values, we have:
v^2 = 0 + 2 * 4.0 * 18.0
v^2 = 144
v = √(144)
v = 12 m/s
So the final speed of the object is 12 meters per second.
what are four methods of acquiring knowledge
The four methods of acquiring knowledge are observation, experience, reasoning, and education.
Observation involves gathering information through the senses and paying attention to what is happening in the environment. Experience involves learning through personal encounters, such as practical work or life events. Reasoning involves using logic and critical thinking to draw conclusions and make decisions.
Education involves acquiring knowledge through formal instruction and learning, such as in a school setting or through reading and studying. All four methods are important and can be used in combination to acquire a deep and well-rounded understanding of a subject.
Observation and experience provide hands-on and practical knowledge, while reasoning and education provide theoretical and abstract knowledge. By using a combination of these methods, individuals can broaden their understanding and knowledge of the world around them.
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the cedula personal was optional during the spanish period
The cédula personal was optional during the Spanish period.
The cédula personal was a document used during the Spanish colonial period in the Philippines to keep track of the population and to collect taxes. It was a personal identification document that contained the holder's name, occupation, and tax status.
However, the requirement for a cédula personal was not strictly enforced during the Spanish period. While the Spanish government encouraged people to obtain one, it was not a mandatory requirement, and many people lived and worked without one.
This lack of strict enforcement was due to a number of factors, including limited resources for collecting taxes, the large size of the Philippines, and the limited number of government officials available to enforce the regulations.
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Complete Question:
Is the cedula personal was optional during the spanish period?
What is 2km in miles?
A mile is 1.609 kilometers long. Both the mille and the kilometer are units of measurement. A mile is larger than a kilometer, nevertheless.
Is a 2 km stroll too far?Approximately 125 calories are burned by walking for thirty min at a quick pace for a distance between 2.0 to 2.5 kilometres (520 kiloJoules). This may not appear to be much, but if if walked for a whole year, five days a week, you would have burned more than 32,000 calories, or more than 5 kg, of fat.
Does a brisk stroll burn fat?Conclusions Walking at any speed results in the loss of total body fat, however in overweight individuals the reduction is more pronounced, immediate, and initially larger with slow walking. a stronger, deeper exercise impulse.
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explain how you could use three single-use scales to tell which one of eight identical-looking stones is slightly heavier than the others
To determine which of eight balanced identical-looking stones is slightly heavier than the others using three single-use scales, you can follow these steps:
Divide the stones into two groups of four.
Place one group of four stones on one side of the scale and another group of four stones on the other side.If the scale is balanced, it means that the heavier stone is not in either of these groups.Take one of the groups and divide it into two groups of two.Use the second scale to weigh one group of two stones against the other group of two stones.If the scale is balanced, the heavier stone is in the group that was not weighed.If the scale is not balanced, use the third and final scale to weigh the two stones that were not balanced in step 6.The heavier stone will be the one that weighs more on the third scale.By following these steps, you can determine which of the eight identical-looking stones is slightly heavier than the others using only three single-use scales.
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The complete Question is:
How to determine which of eight identical-looking stones is slightly heavier than the others using three single-use scales?
the thermometer reads the outside temperature at 70.0 °f. what is this temperature in °c?
If the thermometer reads the outside temperature at 70.0 °f, then it is 21.11 Celsius.
The degree of hotness or coldness of an object can be termed as Temperature. THERMOMETER are the instruments used to measure it . There are different units of measuring temperature which are interconvertible. The units are Fahrenheit (°F), Celsius (°C), Kelvin (K) etc.
In this question, the thermometer reads 70°F. To convert this temperature reading to °C, we use the formula:
°C] = ([°F] − 32) × 5/9
Hence,
[°C] = (70− 32) × 5/9
[°C] = (38) × 5/9
[°C] = 190/9
= 21.1 °c
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why a loaded bus is more comfortable than an empty bus
A loaded bus is more comfortable than an empty bus due to the lower center of gravity of the loaded bus, also a loaded bus has more inertia.
Comfort refers to the stability or the minimum rate of change of acceleration. A loaded bus has a lower center of gravity. So it has a minimum chance of overturning. On the other hand, an empty bus having a higher center of gravity is more susceptible to overturning.
A loaded bus has more inertia than the empty bus does. For the same force acting on both the buses, loaded bus will experience smaller accelerations. The loaded bus experiences almost zero sideways acceleration or vertical acceleration, and the forward & backward acceleration is also much smoother and better - controlled.
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1. A student carries a 12 kg box up a flight of stairs at a slow constant speed in 4. 5 seconds. The height
of the flight of stairs is 3. 6 meters.
a. What is the weight of the box? (in other words, its force in Newtons)
Want:
Given:
Can someone help me which this physic homework please?
Formula:
Solve:
b. How much work does the student do on the box? Draw a problem solving box!
c. What is the student's output power? Draw a problem solving box!
can someone help me with this physic homework pleas?
The weight of the box is 120N and work done is 432J.
We know that weight is just the force.
Weight = F = mg
where, m = mass of the body = 12kg
g = acceleration due to gravity = 10 m/s^2
Putting these values in above equation we get : F = 120 N
So, the weight of the box is 120N.
We know that work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.
Now Work done by an object is given by : W = F.d
where,
F = force acting
d = displacement = 3.6 m
Putting these values in above equation we get: W = 120 * 3.6 = 432J
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A certain cylinder has a diameter that is twice the length of its height. If the volume of the cylinder is 64π cubic inches. What is the radius?
If the cylinder seems to have a 64 cubic inch volume, its radius becomes R = 8/2, as well as 4.
What is called cylinder?The three-dimensional shape of a cylinder is made up of two equal circular bases connected by a curved surface. The correct cylinder is created when the vertices of the round bases cross each other. The axis, which represents the height of a cylinder, has been the line segment that connects the two centres.
A cylinder's volume (V) is equal to the sum of its base's area (B) and height (H) (H)
Given V = 64(π)
B = (π) * [diameter(D)/2]^2 * (H)
Given D = 2 * H
V = π * (D/2)^2 * H, then
V = π * (2 * H/2)^2 * H = π * H^3
π * H^3 = 64π
H^3 = 64
H = 4
D = 8
Radius(R) = D/2
R = 8/2 = 4
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a 747 jet needs to attain a speed of 180 mph to take off. it can accelerate from 0 to 180 mph in 12 seconds, how long must the runway be, assuming acceleration is constant?
The runway must be 482.4 m long. The result is obtained by using the equations in uniformly accelerated motion.
What are equations in uniformly accelerated straight motion?The equations apply in uniformly accelerated straight motion in horizontal dimension are
v₁ = v₀ + at
v₁² = v₀² + 2ax
x = v₀t + ½ at²
Where
v₀ = initial velocityv₁ = final velocitya = accelerationt = timex = distanceA 747 jet needs to attain a speed of 180 mph to takeoff. With
v₀ = 0v₁ = 180 mpht = 12 sa is constantFind the length of the runway!
The length of the runway here is equal to the minimum distance the jet must travel before takeoff.
Let's convert the unit of speed!
v₁ = 180 mph
v₁ = 180 × 1609.34 × 1/3600 m/s
v₁ = 80.5 m/s
The acceleration is
v₁ = v₀ + at
80,5 = 0 + a(12)
80.5 = 12a
a ≈ 6.7 m/s²
The minimum distance will be
x = v₀t + ½ at²
x = 0 + ½ (6.7)(12)²
x = ½ (6.7)(12)²
x = 482.4 m
Hence, the length of the runway must be 482.4 m.
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Select the two that apply.
Granite
Quartz
Charcoal
Amber
Seawater
Synthetic diamonds
Gold nugget
From given names Quartz and Gold nugget is the mineral.
Minerals are the basic building blocks of rocks and are extremely important to humans economically and commercially. Geologists therefore require a set of qualities to distinguish between what constitutes a mineral and what constitutes a man-made object (such as plastic, for example). Inorganic, solid, naturally occurring, made of an ordered crystalline structure, and capable of being described by a chemical formula are the requirements that identify matter as a mineral.
One of the most well-liked and well-known minerals, gold has long been valued for its worth and unique qualities. The majority of the naturally occurring gold specimens discovered since ancient times have been smelted for use in manufacturing.
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A constant force of 4. 5 n acts on a 7. 2-kg object for 10. 0 s. What is the change in the object's velocity?.
The change in the object's velocity is: 6.25 m/s
What is force?It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.
To solve this exercise, the formulas and procedures to be applied are:
F = m * avf = vi + (a* t)Where:
m = massF = Forcea = accelerationvf = final velocityvi = initial velocityt = timeInformation about the problem:
m = 7.2 kgF= 4.5 n1 N = kg * m/s²t= 10.0 svi= 0 m/sa= ?vf=?Applying the force formula and isolating the acceleration, we get:
a= F/m
a= 4.5 n /7.2 kg
a=0.625 m/s²
Applying the final velocity formula, we have:
vf = 0 m/s + (0.625 m/s²* 10.0 s)
vf = 0 m/s + 6.25 m/s
vf = 6.25 m/s
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A cylindrical 4. 31 kg pulley with a radius of 0. 294 m is used to lower a 6. 27 kg bucket into a well. The bucket starts from rest and falls for 3. 55 s. The acceleration of gravity is 9. 8 m/[tex]s^{2}[/tex]
What is the angular acceleration of the cylindrical pulley?
Answer in units of rad/[tex]s^{2}[/tex]
The net torque on the pulley can be calculated as follows:
T = I * alpha
where
I = (1/2) * m * r^2 (moment of inertia of a cylinder)
m = 4.31 kg (mass of pulley)
r = 0.294 m (radius of pulley)
alpha (angular acceleration)
The gravitational force on the bucket creates a tension in the rope, which provides the torque on the pulley.
T = (m_bucket + m_pulley) * g * r
Equating the two expressions for T and solving for alpha, we get:
alpha = (m_bucket + m_pulley) * g * r / ((1/2) * m_pulley * r^2)
m_bucket = 6.27 kg
Substituting the values, we get:
alpha = (6.27 + 4.31) * 9.8 * 0.294 / ((1/2) * 4.31 * 0.294^2)
alpha = 11.58 rad/s^2
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what is the best definition of electric charge
Answer:
B. It is the flow of electrons that have a negative charge to protons that have a positive charge.
Explanation:
Electric charge is a fundamental property of matter that arises from the presence or absence of electrons in an object. Electrons have a negative charge, while protons have a positive charge. When an object has an excess or shortage of electrons, it creates an electric charge. This charge can be measured and is used to explain various electrical and electronic phenomena, including the flow of electric current, the behavior of electric circuits, and the interaction of charged objects with each other. The flow of electrons from one charged object to another is what creates an electric current, which is a flow of electric charge. Thus, the best definition of electric charge is the flow of electrons that have a negative charge to protons that have a positive charge.
a dc motor draws a current of 50 a at 230 v, and 1200 w of power is dissipated as heat by the motor. how much power is left for mechanical work?
The required amount of power left for mechanical work by the DC motor is calculated to be 10300 w.
The current drawn by the motor = 50 A
Voltage of the DC motor = 230 v
Power dissipated as heat = 1200 w
The formula to calculate power dissipated by the motor;
P = V I
where, P is power
V is voltage
I is current
So, putting the known values into the above equation, we have,
P = V I = 230 × 50 = 11500 w
As some amount of power is dissipated as heat, the power left for mechanical work is;
⇒ 11500 - 1200 = 10300 w
Thus, the required amount of power is 10300 w.
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one function of a cell wall
Answer:
The cell wall surrounds the plasma membrane of plant cells and provides tensile strength and protection against mechanical and osmotic stress. It also allows cells to develop turgor pressure, which is the pressure of the cell contents against the cell wall.
if two objects have an inelastic collision and one is initially at rest, is it possible for both of them to be at rest after the smash up? is it possible for only one of them to be at rest? how come?
No. After the collision, it is impossible for them to be at peace.
When two or more objects come into contact with one another and experience temporary force on one another, this is called a collision. Elastic and inelastic are the two categories under which it falls.
This kind of collision, in which some energy is lost, is known as an inelastic collision.
However, kinetic energy is not conserved in an inelastic collision even though momentum is. In everyday life, inelastic collisions predominate.
It is known as a perfectly inelastic collision when an inelastic collision meets all the requirements. In this instance, two objects collide and stick together, moving as one.
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calculate the kinetic energy (in ev) of a nonrelativistic neutron that has a de broglie wavelength of 9.9 × 10−12 m. (h = 6.626 × 10−34 j • s, mneutron = 1.675 × 10−27 kg, 1 ev = 1.60 × 10−19 j)
The Kinetic energy of the nonrelativistic neutron which has a De Broglie wavelength of [tex]9.9 * 10^{-12}[/tex] m is [tex]8.375 * 10^{4}[/tex] Eu.
A moving item or particle might have power of a certain type called kinetic energy. An item gains kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. A moving item or particle's mass and motion speed determine its kinetic energy.
The energy an object has as a result of motion is referred to as kinetic energy. It is defined as the effort needed to move a body of a particular mass from rest to the desired velocity. Unless its speed changes, the body retains the kinetic energy it gained during acceleration.
[tex]lambda D=9.9[10^{-12} ]\\h=6,626[10^{-34} ]\\m= 1.675[10^{-27} \\KE= \frac{h^{2} }{2m[lambda D^{2} } ]\\=13.4[10^{-15} ] joule\\KE = 8.375[10^{4} ]eu[/tex]
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An electron is located 4. 22 mm away from an isolated proton. If the distance between the two particles is increased to 8. 44 mm, what happens to the electrical potential energy of the electron and why?.
If the distance between the two particles is increased to 8.44 mm, the electrical potential energy will increase because work must be done to separate two particles that attract one another. Hence option(A) is correct.
The square of the distance between the charges has an inverse relationship with the potential energy. Additionally, it depends on whether the two charges have the same sign or the opposite sign; if they have the same sign, potential energy will decrease, but if they have the opposite sign, it will increase.
Which energy has potential?The energy that a thing retains due to its position in relation to other objects, internal tensions, electric charge, or other variables is known as potential energy.
Common examples of potential energy include the gravitational potential energy of an object, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field. The International System of Units uses the joule as its unit of energy, represented by the letter J. (SI).
It takes effort to separate two particles because the positive and negative charges are attracted to one another. Thus, there will be an increase in electrical potential energy.
your question is incomplete but most probably your full question was An electron is located 4.22 mm away from an isolated proton. If the distance between the two particles is increased to 8.44 mm,
what happens to the electrical potential energy of the electron and why?
A. The electrical potential energy will increase because work must be done to separate two particles that attract one another.
B. The electrical potential energy will remain the same because the electron and proton are both fundamental particles and their
charge cannot be changed.
C. The electrical potential energy will increase because larger energies are associated with greater distances.
D. The electrical potential energy will decrease because no work is necessary to increase the distance between particles that
demonstrate attraction.
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how to get real and imaginary parts of permittivity from refractive index and extinction coefficients
The refractive index and the extinction coefficient of a material can be used to calculate its complex permittivity, which is a measure of the material's ability to store electric energy.
It is defined as the ratio of the electric flux density (D) to the electric field strength (E) in a vacuum and has units of farads per meter (F/m). In a material, the electric field is partially screened by the material's electrons, leading to a reduction in the effective electric field. The complex permittivity is given by the following equation:
ε = ε' - jε'' = n^2 - jk,
where ε' is the real part of the permittivity, ε'' is the imaginary part of the permittivity, n is the refractive index, and k is the extinction coefficient.
So, to obtain the real and imaginary parts of the permittivity, one can simply use:
ε' = n^2
ε'' = k
where n and k are the known refractive index and extinction coefficient, respectively.
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Two forces F1and F2act on the screw eye. If their lines of action are at an angle θapart and the magnitude of each force is F1=F2=F. Determine the magnitude of the resultant force FRand the angle between FRand F1.Parallelogram Law Of Vector Addition:If two vectorsF1and F2are acting at angle θbetween them , the resultant of these two vectors is given asR=√F21+F22+2F1F2cosθ
The resultant between two vectors will be given by the formula, R= √(2(F^2) + 2(F^2)cosθ)
In order to solve the equation for resultant between the two vectors F1 and F2 at an angle of θ, the following steps have to be followed:
The diagram for this problem is attached below
It is given in the problem that the magnitudes of forces F1 and F2 are equal,
F1= F2= F
In order to find the resultant force, the Parallelogram Law of Vector Addition comes into play.
This law states that if two vectors have the same initial point, and are dawn into a parallelogram, the summation of the two vectors will be the directed diagonal that starts at the initial point of the vectors.
Therefore, R= √(F1^2 + F2^2 + 2F1F2cosθ)
Now, since F1= F2= F,
R= √(F^2 + F^2 + 2(F^2)cosθ)
R= √(2(F^2) + 2(F^2)cosθ)
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