i need the answer asap plz!!
A sample of water vapor has a pressure of 36.0 Pa and a temperature of 300.0 K. If the pressure is
reduced to 32.0 Pa, what will the new temperature be?

area l*b

so,80*65

=5200

The force acting on the system of two blocks connected by a rope passing over a pulley is -13.26 N.

The system of two blocks connected by a rope passing over a pulley are M1 and M2, where M1 rests on the triangle edge to the left of the pulley, which makes an angle of theta subscript 1 with the base of the triangle. The coefficient of friction between box M1 and the surface is mu subscript 1. M2 rests on the triangle edge to the right of the pulley, which makes an angle of theta subscript 2 with the base of the triangle.

The coefficient of friction between box M2 and the surface is mu subscript 2. The system sits atop a scalene triangle whose long edge forms the base. The pulley is attached to the apex of the triangle.M1 has a mass of 2.25 kg and is on an incline of angle 1=42.5∘ that has a coefficient of kinetic friction 1=0.205. M2 has a mass of 5.55 kg and is on an incline of angle 2=33.5∘ that has a coefficient of kinetic friction 2=0.105.The free-body diagram of M1 shows that the weight of M1 acts straight downwards (vertically) and the normal force acts perpendicular to the slope.

The force of friction opposes the motion and acts opposite to the direction of motion.M1 = 2.25 kgTheta subscript 1 = 42.5 degreesMu subscript 1 = 0.205g = 9.81 m/s²In the free-body diagram of M2, the normal force acts perpendicular to the incline of the slope, the weight of the object acts vertically downwards and parallel to the incline, and the force of friction opposes the motion and acts opposite to the direction of motion.M2 = 5.55 kgTheta subscript 2 = 33.5 degreesMu subscript 2 = 0.105g = 9.81 m/s²The tension in the string is the same throughout the rope. Since the masses are being pulled by the same rope, the acceleration of the objects is the same as the acceleration of the rope.

The tension in the string is directly proportional to the acceleration of the objects and the rope.A system of two blocks connected by a rope passing over a pulley has a total mass of M. The acceleration of the system is given by the formula below:a = [(m1-m2)gsin(θ1) - μ1(m1+m2)gcos(θ1)] / (m1 + m2)Where, μ1 = 0.205 is the coefficient of friction of block M1θ1 = 42.5 degrees is the angle of the incline of block M1M1 = 2.25 kg is the mass of block M1M2 = 5.55 kg is the mass of block M2g = 9.81 m/s² is the acceleration due to gravitysinθ1 = sin 42.5 = 0.67cosθ1 = cos 42.5 = 0.75The acceleration of the system is:a = [(2.25-5.55)(9.81)(0.67) - (0.205)(2.25+5.55)(9.81)(0.75)] / (2.25 + 5.55)a = -1.7 m/s² (the negative sign indicates that the system is accelerating in the opposite direction).

The force acting on the system is given by:F = MaWhere M is the total mass of the system and a is the acceleration of the system. The total mass of the system is:M = m1 + m2M = 2.25 + 5.55M = 7.8 kgThe force acting on the system is:F = 7.8(-1.7)F = -13.26 N (the negative sign indicates that the force is acting in the opposite direction).

for more question on force

https://brainly.com/question/12785175

#SPJ8

(a) To determine the acceleration of the ball while it is in flight, we can use the equation of motion:

v = u + at

where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

In this case, the ball is thrown straight up, so its final velocity at the highest point is 0 m/s. The initial velocity is unknown, the acceleration is due to gravity and is approximately -9.8 m/s^2 (negative since it acts in the opposite direction of motion), and the time of flight is 2.21 s.

Using the equation, we can solve for the acceleration:

0 = u - 9.8 * 2.21

u = 9.8 * 2.21

u ≈ 21.658 m/s

Therefore, the acceleration of the ball, while it is in flight, is approximately 21.658 m/s^2 in the upward direction.

(b) When the ball reaches its maximum height, its velocity is 0 m/s. This occurs when the ball is momentarily at rest before falling back down. Therefore, the magnitude of the velocity when the ball reaches its maximum height is 0 m/s.

(c) To find the initial velocity of the ball, we can use the equation:

v = u + at

At the highest point, the final velocity is 0 m/s, the acceleration is -9.8 m/s^2 (due to gravity), and the time is 2.21 s.

0 = u - 9.8 * 2.21

u = 9.8 * 2.21

u ≈ 21.658 m/s upward

Therefore, the initial velocity of the ball is approximately 21.658 m/s upward.

(d) The maximum height reached by the ball can be determined using the equation for vertical displacement:

s = ut + (1/2)at^2

At the highest point, the final displacement is 0 m, the initial velocity is 21.658 m/s upward, and the time of flight is 2.21 s.

0 = 21.658 * 2.21 + (1/2) * (-9.8) * (2.21)^2

0 = 47.864 + (-5.5294)

5.5294 = 47.864

Therefore, there seems to be an error in the calculations as the equation does not hold true. Please check the given values and equations to ensure accuracy.

To know more about acceleration:

https://brainly.com/question/2303856

#SPJ1

The density of the solid is (4.10 ± 0.78) × 10^3 kg/m^3.

To calculate the density of the cube below formula can be used:

ρ = m/V

where ρ is density, m is mass, and V is volume. For a cube, the volume is given by:

V = (side)^3

Therefore, the uncertainty in density can be calculated using the formula:

δρ/ρ = sqrt[(δm/m)^2 + 3(δs/s)^2]

where δρ is the uncertainty in density, δm is the uncertainty in mass, δs is the uncertainty in side, and s is the value of the side.

Now, putting in the given values:

s = (1.00 ± 0.06) cm = 0.01 ± 0.0006 m

m = (41.0 ± 0.4) g = 0.0410 ± 0.0004 kg

Volume, V = (0.01 m)^3

                  = 1.0 × 10^-6 m^3

Therefore, the density is:

ρ = m/V

  = 0.0410 kg/1.0 × 10^-6 m^3

  = 4.10 × 10^4 kg/m^3

Now substituting the values and calculating the uncertainty in density:

δρ/ρ = sqrt[(δm/m)^2 + 3(δs/s)^2]

δρ/ρ = sqrt[(0.0004/0.0410)^2 + 3(0.0006/0.01)^2]

δρ/ρ = 0.019

Therefore, the uncertainty in density is:

δρ = (0.019)(4.10 × 10^4 kg/m^3)

     = 779 kg/m^3

To know more about uncertainty in density refer to:

brainly.com/question/12971718

#SPJ1

frfyuegffffjhAnswer:

frjhgfjgresjytgfejygfjse

Explanation:

The new gravitational force between the two planets, when they are moved to two million miles apart, is 250,000 N

The gravitational force between two objects can be calculated using Newton's Law of Universal Gravitation, which states that the force is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Given:

Initial distance between the planets = 1 million miles

Initial gravitational force = 1,000,000 N

Final distance between the planets = 2 million miles

To determine the new gravitational force, we need to compare the ratios of the distances and apply the inverse square law.

Let's denote the initial distance as d1, the initial gravitational force as F1, the final distance as d2, and the unknown final gravitational force as F2.

According to the inverse square law, the ratio of the gravitational forces is the square of the ratio of the distances:

(F2/F1) = (d1/d2)²

Substituting the given values:

(F2/1,000,000 N) = (1 million miles / 2 million miles)²

Simplifying:

(F2/1,000,000 N) = (1/2)²

(F2/1,000,000 N) = 1/4

F2 = (1/4) * 1,000,000 N

F2 = 250,000 N

for more questions on force

.https://brainly.com/question/12970081

#SPJ11

Answer:

(a) 10.833 kPa

(b) 237.02 J

(c) The work done = -43.75 J

The heat transferred = 43.09 J

The change in internal energy = -0.6575 J

(d) The total change in internal energy for the entire process = 57.5 J

Explanation:

The parameters given are;

p₁ = 13 kPa

V₁ = 0.1 m³

p₂ = p

V₂ = 0.12 m³

p₃ = 5 kPa

V₃ = 0.135 m³

p₄ = 5 kPa

V₄ = 0.10 m³

(a) For isothermal process, we have

p₁V₁ = p₂V₂

p₂ = p₁V₁/V₂

∴ p₂ = 13 × 0.1/0.12 = 10.833 kPa

(b) The heat transfer for a constant temperature process is given by the relation;

\(Q = V_1 \cdot p_1 \cdot ln \left (\dfrac{V_2}{V_1} \right) = 0.10 \times 13 \times ln \left (\dfrac{0.12}{0.10} \right) = 0.237 kJ = 237.02 J\)

(c) For process BC, we have

The work done is given by the area under the curve which between B and C which is given as follows;

0.5 × (V₃ - V₂) × (p₃ - p₂) = 0.5 * (0.135 - 0.12) * (5 -10.833) = -0.0437475 kJ = -43.75 J

For ideal gas, γ = 1.4

The heat transferred Q for a polytropic process is given by the relation

Q = W×(n - γ)/(γ - 1)

W = (V₂ × p₂ - V₃×p₃)(n - 1)

0.0427475  = (10.833 *0.12 - 5*0.135)/(n - 1)

(n - 1) = (10.833 *0.12 - 5*0.135)/0.0437475  =

n = 1 + 0.00575

n = 1.006

Q = -43.75*(1.006 - 1.4)/(1.4 - 1) = 43.09 J

The change in internal energy, u₃ - u₂ = Q + W = 43.09 J - 43.75 J = -0.6575 J

(d) For the constant pressure process DC, we have;

\(Q = c_p \times p \times\dfrac{V_4 - V_3}{R} = \dfrac{5}{2} \times 4 \times (0.1 - 0.135) = -0.35 \ kJ\)

W = p×(v₄ - v₃) = 4*(0.1 - 0.134) = -0.136 kJ

u₄ - u₃ = Q + W = -0.35 - 0.135 = -0.485 kJ

For the constant volume process DA, we have;

\(Q = \dfrac{c_v}{R} \times V \times (p_1 - p_4) = \dfrac{3}{2} \times 0.1 \times (12 - 4) = 1.2 \ kJ\)

Q = u₁ - u₄ = 1.2 kJ

Since process 1 to 2 is a constant temperature process we have u₁ - u₂ = 0

The total change in internal energy = u₁ - u₂ + u₃ - u₂ + u₄ - u₃ + u₁ - u₄

The total change in internal energy = 0 - 0.6575 - 0.485 + 1.2 = 0.0575 kJ = 57.5 J

The total change in internal energy for the entire process = 57.5 J.

The approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.

To approximate the heat transfer through the air layer in the double-paned window, we can assume that the glass layers have a negligible impact on the heat flow. The heat transfer can be calculated using Fourier's Law of Heat Conduction, which states that the heat flow (Q) is proportional to the temperature difference (ΔT) and inversely proportional to the thickness (L) and thermal conductivity (k) of the material.

First, we need to calculate the effective thermal conductivity of the air layer due to its thickness and the thermal conductivity ratio between air and glass. Let's denote the thermal conductivity of air as k_air and the thermal conductivity of glass as k_glass. Since glass has a thermal conductivity roughly 36 times greater than air, we have k_glass = 36 * k_air.

Next, we calculate the effective thermal conductivity of the air layer as:

k_eff = (k_air * L_air) / (L_air + k_glass)

Substituting the given values, we have:

k_eff = (k_air * 0.0165 m) / (0.0165 m + 0.005 m) = 0.01309 * k_air

Now, we can calculate the heat flow per second through the air layer using the formula:

Q = (k_eff * A * ΔT) / L_air

Substituting the given values, we get:

Q = (0.01309 * k_air * 0.760 m^2 * 23.0 K) / 0.0165 m = 24.4 J/s

Therefore, the approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.

For more questions on temperature, click on:

https://brainly.com/question/27944554

#SPJ8

Answer:

The first one

Explanation:

But I'm not sure though

The magnitude of the total displacement is 20.28 m.

The angle of the total displacement with the x axis is 70.5⁰.

The total displacement of the player is calculated as follows.

Apply cosine rule as shown below;

d² = d₁² + d₂² - 2d₁d₂ cos(θ)

d² = (24.1)² + (7.9²) - (2 x 24.1 x 7.9) cos(52.5)

d² = 411.42

d = √411.42

d = 20.28 m

Apply sine rule as shown below;

d/sinD = d₂/sinD₂

20.28/sin(52.5) = 7.9/sinD₂

25.562 = 7.9/sinD₂

sinD₂ = 7.9/25.562

sinD₂ = 0.309

D₂ = sin⁻¹(0.309)

D₂ = 18⁰

angle with x axis =  18⁰ + θ

                            =  18⁰ +  52.5⁰

                            = 70.5⁰

Thus, the magnitude of the total displacement is 20.28 m.

The angle of the total displacement with the x axis is 70.5⁰.

Learn more about total displacement here: https://brainly.com/question/15164011

#SPJ1

The answers are : (a) Torque T = 1.27 kN·m when twist at A is 25°. (b) Elastic core diameter is zero.

To take care of this issue, we can involve the twist recipe for strong roundabout shafts:

τ = (T/J) * r

where τ is the shear pressure, T is the applied force, J is the polar snapshot of dormancy, and r is the span of the shaft.

The polar snapshot of idleness for a strong round shaft is given by:

J = (π/2) * \(r^4\)

where r is the sweep of the shaft.

From the given information, we can track down the range of the shaft as 20/2 = 10 mm = 0.01 m and the length of the shaft as 1.5 m.

(a) To find the force T when the point of contort at An is 25°, we can utilize the accompanying condition:

θ = (TL/GJ)

where θ is the point of contort, L is the length of the shaft, G is the shear modulus, and J is the polar snapshot of idleness.

Improving this condition, we get:

T = (θGJ/L)

Subbing the given qualities, we get:

J = \((π/2) * (0.01)^4 = 7.854 x 10^-9 m^4\)

T = \((0.25 * 77.2 x 10^9 * 7.854 x 10^-9)/1.5\)

T = 1.27 kN·m

Consequently, the force T when the point of bend at An is 25° is 1.27 kN·m.

(b) To find the relating width of the flexible center of the shaft, we can utilize the most extreme shear pressure hypothesis. As per this hypothesis, the most extreme shear pressure anytime in a shaft shouldn't surpass the versatile furthest reaches of the material.

The flexible furthest reaches of the material is given as σ_el = - 145 MPa. The greatest shear pressure τ_max can be tracked down involving the twist recipe as:

τ_max = (T/J) * r

Subbing the given qualities, we get:

τ_max = (T/7.854 x \(10^-9\)) * 0.01

τ_max = 1.61 * T

For the material to stay versatile, we should have:

τ_max <= σ_el

Subbing the given qualities, we get:

1.61 * T <= - 145 x \(10^6\)

T <= - 90.06 kN·m

This implies that the force applied should be not exactly - 90.06 kN·m for the material to stay flexible. Since we have previously observed the force T to be 1.27 kN·m, we can accept that the material has surpassed its versatile cutoff and has gone through plastic distortion.

In this manner, the breadth of the flexible center of the shaft is zero.

To learn more about torque, refer:

https://brainly.com/question/30611212

#SPJ4

The amount of work required to slide the 3 Kg box 6.90 m along (up) the frictionless incline plane is 183.85 J

Work is defined as the product of force and distance moved in the direction of the force. mathematically it is expressed as:

Work done (Wd) = force (F) × distance (d)

Wd = fd

Where height is involved, the workdone is given as as:

Work done (Wd) = mass (m) × acceleration due to graity (g) × height (h)

Wd = mgh

Considering angle projection,

Wd = mghCosθ

Thus, we can detertmine the work done as follow:

Wd = mghCosθ

Wd = 3 × 9.8 × 6.9 × Cos 25

Wd = 183.85 J

Learn more about workdone:

https://brainly.com/question/14667371

#SPJ1

The total work done is equal to 134 J.

The work formula is characterized as the multiplication of the force performed and the distance in which the movement was performed, so that:

                                           \(W = F \times d\)

Thus, it is enough to calculate the value of the work in each movement and add to find the total work, so that:

                                          \(W_1 = 3 \times 28 = 84J\\W_2= 4 \times 14 = 56J\\W_3 = (-1.2) \times 5 = 6J\)

                                        \(84 + 56 + (-6) = 134J\)

So, the total work done is equal to 134 J.

Learn mor about work in: brainly.com/question/4095205

Answer:

F = qvB sinθ

(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)

Answer:

Explanation:

Kinetic energy of satellite = 1/2 m v²

= .5 x 1110 x 3.55²

= 6994.39 J

This energy comes from the elastic energy of  compressed spring

elastic energy = 1/2 k d² where k is elastic constant and d is compression in spring .

1/2 k d²  = 6994.39 J

kd² = 13988.77 --------------------------- (1)

force created by spring = k d

acceleration = force / mass

= k d / 1110

Given ,

k d / 1110  = 5 x g = 5 x 9.8 = 49

kd = 54390  ------------------------------------------------- ( 2 )

dividing ( 1 )  and ( 2 )

d =  13988.77 / 54390

= .25719 m

= 25.72 cm

kd = 54390

k x .25719 m = 54390

k = 211477.9 N /m

The waves produced by a vibrating tuning fork are longitudinal waves, also known as compression waves.

Longitudinal waves are waves that oscillate along the direction of propagation, meaning they create alternating regions of compression and rarefaction in the medium through which they travel.

In the case of a vibrating tuning fork, the tines of the fork move back and forth, causing the surrounding air to alternately compress and expand. These pressure changes propagate through the air as longitudinal waves.

Read more about waves here:

https://brainly.com/question/25847009
#SPJ1

Explanation:

ultraviolet radiation

Bombarded with energy

They stored the seeds in a single layer on the outside of the ISS behind a special kind of glass that let in ultraviolet radiation only at wavelengths between 110 and 400 nanometers

Answer:

it depends on the appliance

Explanation:

bigger appliances will use more power, smaller appliances will use a lesser amount

Answer:

Yea

Explanation:

Let's compare a brick to a small table, does it take more force and strength to push a car or a small table? A car, because it's heavier and has more mass.

Answer:

Heavier objects (objects with more mass) are more difficult to move and stop. Heavier objects (greater mass) resist change more than lighter objects. Example: Pushing a bicycle or a Cadillac, or stopping them once moving. The more massive the object (more inertia) the harder it is to start or stop.

Explanation:

☝️

The average blood pressure in the brain will be higher than the average blood pressure in the feet. the average blood pressure in the brain will be lower than the average blood pressure in the feet.

When the elevator accelerates upward at \(10 ms^{-2}\), the blood pressure in the brain and feet of a person changes.

Similarly, when the elevator accelerates downward with the same acceleration, the blood pressure in the brain and feet of a person changes.

Let's discuss them one by one:Blood Pressure When Elevator Accelerates Upward at \(10 ms^{-2}\)

When the elevator accelerates upward at \(10 ms^{-2}\),  the blood pressure in the brain of a person increases, while the blood pressure in the feet of a person decreases.

This happens due to the gravitational force acting on the body.

Since the gravitational force on the head is greater than the gravitational force on the feet, the blood pressure in the brain increases while the blood pressure in the feet decreases.

Therefore, the average blood pressure in the brain will be higher than the average blood pressure in the feet.

Blood Pressure When Elevator Accelerates Downward at  \(10 ms^{-2}\) When the elevator accelerates downward at \(10 ms^{-2}\), the blood pressure in the brain of a person decreases, while the blood pressure in the feet of a person increases.

This also happens due to the gravitational force acting on the body. Since the gravitational force on the head is less than the gravitational force on the feet, the blood pressure in the brain decreases while the blood pressure in the feet increases.

Therefore, the average blood pressure in the brain will be lower than the average blood pressure in the feet.

For more questions on blood pressure

https://brainly.com/question/23611659

#SPJ8

The scientific reason for the change is that baking soda underwent a chemical change to evolve a gaseous carbon dioxide.

A chemical change is any process in which reactants are changed into products by the breaking or creation of chemical bonds.

In a chemical change, the chemical bonds in the reactants are broken and rearranged to form new substances called products. One of the evidences that a chemical change has occurred is gas evolution.

According to this question, a student adds baking soda to vinegar and observes that a large amount of gaseous carbon dioxide is released.

Therefore, it can be said that the scientific reason for the change is that baking soda underwent a chemical change to evolve a gaseous carbon dioxide.

Learn more about chemical change at: https://brainly.com/question/23693316

#SPJ1

Given that the radius of the conducting sphere is r = 5 cm = 0.05 m

The charge density on the surface of the sphere is

We have to find the electric potential.

To calculate electric potential, first, we need to calculate charge.

The charge will be

The electric potential is given by the formula

Here K is Coulomb's constant whose value is

Substituting the values, the electric potential will be

The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

To learn more about acceleration

https://brainly.com/question/2303856

#SPJ8

The wave function of the resultant wave, Y1 + Y2 is Y = 4.95sin[π(3.80x - 1180t - 0.206)].

The wave function Y1 describes a sinusoidal wave with an amplitude of 4.95 meters, a wavelength of λ = 2π/3.8 ≈ 1.65 meters, and a frequency of f = 1180/3.8 ≈ 310 Hz. The phase of the wave is such that the maximum displacement occurs at x = 0 and t = 0, and the wave is moving in the negative x direction.

The wave function Y2 also describes a sinusoidal wave with the same amplitude and wavelength as Y1, but with a phase difference of 0.25 seconds. This means that Y2 is shifted to the left (negative x direction) by a distance of Δx = λΔφ/2π = λ(0.25)/2π ≈ 0.206 meters. The frequency and speed of Y2 are the same as Y1.

To determine the resultant wave Y, we add the two wave functions: Y = Y1 + Y2. Using the trigonometric identity sin(a + b) = sin(a)cos(b) + cos(a)sin(b), we can simplify the expression for Y:

Y = 4.95sin[π(3.80x - 1180t)] + 4.95sin[π(3.80x - 1180t)cos(0.25) + cos(π/2)sin(0.25)]

Y = 4.95sin[π(3.80x - 1180t)] + 4.95sin[π(3.80x - 1180t + 0.25)]

Y = 4.95sin[π(3.80x - 1180t - 0.206)]

The resultant wave Y is a sinusoidal wave with the same amplitude and wavelength as Y1 and Y2, but with a phase shift and a different waveform due to interference. The frequency and speed of Y are also the same as Y1 and Y2.

To know more about wave function here

https://brainly.com/question/20431795

#SPJ1

-- The given question is incomplete, the complete question is

"Two traveling sinusoidal waves are described by the wave functions

Y1 : 4.95sin[π(3.80x-1180t)]

Y2 : 4.95sin[π(3.80x-1180t-0.250)]

Where x , y1 and y2 are in meters and t is in seconds. Find the wave function of the resultant wave (Y1 + Y2)." --

Answer: electromagnetism.

Explanation:The use of coils of wires produces a relationship between electricity and magnetism that gives us another magetism called electromagnetism.

Answer:

The reason X-rays are used in this process is because the clouds of electrons are at the same scale as the X-ray radiation wavelength. This means that the radiation is deflected and scattered by the electrons of the atoms in the crystal. The deflected X-ray beams produce a scattering distribution which is proportional to the scattering angle.

Explanation:

Answer:

Because X-rays have wavelengths similar to the size of atoms, they are useful to explore within crystals. Thus, since X-rays have a smaller wavelength than visible light, they have higher energy. With their higher energy, X-rays can penetrate matter more easily than can visible light.

Explanation:

The following vector components are:

a) A+ B - 84.21°

b) A-B - 18.74°

c) B-A - -84.21°

To use components to find the given vectors, break each vector into its x and y components using trigonometry.

Assume the positive x-axis points to the right and the positive y-axis points up.

For vector A, the magnitude of the x-component is given by Acos(60°) and the magnitude of the y-component is given by Asin(60°),

Ax = Acos(60°) = 2.8 cm × 0.5 = 1.4 cm

Ay = Asin(60°) = 2.8 cm × 0.866 = 2.425 cm

For vector B,  the negative sign since the vector is below the x-axis,

Bx = Bcos(60°) = 1.9 cm × 0.5 = 0.95 cm

By = -Bsin(60°) = -1.9 cm × 0.866 = -1.6494 cm

a) To find A + B, add the x and y components separately:

(A + B)x = Ax + Bx = 1.4 cm + 0.95 cm = 2.35 cm

(A + B)y = Ay + By = 2.425 cm - 1.6494 cm = 0.7756 cm

Then, the vector A + B has a magnitude of √[(2.35 cm)² + (0.7756 cm)²] = 2.466 cm and an angle of tan⁻¹(0.7756 cm / 2.35 cm) = 18.74° above the positive x-axis.

b) To find A - B, subtract the x and y components separately:

(A - B)x = Ax - Bx = 1.4 cm - 0.95 cm = 0.45 cm

(A - B)y = Ay - By = 2.425 cm + 1.6494 cm = 4.0744 cm

Then, the vector A - B has a magnitude of √[(0.45 cm)² + (4.0744 cm)²] = 4.091 cm and an angle of tan⁻¹(4.0744 cm / 0.45 cm) = 84.21° above the positive x-axis.

c) To find B - A, subtract the x and y components separately:

(B - A)x = Bx - Ax = 0.95 cm - 1.4 cm = -0.45 cm

(B - A)y = By - Ay = -1.6494 cm - 2.425 cm = -4.0744 cm

Then, the vector B - A has a magnitude of √[(-0.45 cm)² + (-4.0744 cm)²] = 4.091 cm and an angle of tan⁻¹(-4.0744 cm / -0.45 cm) = -84.21° below the positive x-axis.

Find out more on Vector here: https://brainly.com/question/27854247

#SPJ1

The calculated magnitude is  6.73 x 10³ V/m.

AMU is described as being one-twelfth the mass of a carbon-12 atom (12C). C makes up more than 98% of the carbon that can be found in nature, making it the most prevalent isotope. The magnitude of the field is the change in potential across a small distance in the indicated direction divided by that distance.

Potential difference = 8.20 kV= 8.20 x 10³ V

radius= 19.4/100=0.194 m

total distance that is circumference of the circle= 2πr =2 x 3.14 x 0.194

                                                                               = 1.218 m

therefore Magnitude= 8.20 x 10³ / 1.218

                                  =6.73 x 10³ V/m

Learn more about Magnitude here-

https://brainly.com/question/15681399

#SPJ9