an acceleration vector has components of 17 m/s2 eastward and 23.5 m/s2 southward. what is the magnitude of the vector?

q or heat transfer when 5.88 g of ice is cooled from -21 °c to -118 °c is

1171J.

The equation q = mLΔT is used to calculate the heat transfer, or q, in a thermodynamic process. The equation states that the heat transfer, q, is equal to the product of the mass, m, of the substance being heated or cooled, its specific heat capacity, L, and the change in temperature, ΔT.

The specific heat capacity, L, is a measure of the amount of heat required to raise the temperature of one kilogram of a substance by one degree Celsius. It is a constant value for a given substance and depends on its molecular structure and physical properties.

The change in temperature, ΔT, is the difference between the initial and final temperatures of the substance, and it represents the amount of temperature change that has occurred during the process.

Therefore, the equation q = mLΔT can be used to determine the amount of heat transfer that occurs when a substance is heated or cooled, by multiplying its mass, specific heat capacity, and the change in temperature. The units of heat transfer are typically joules (J).

In this case, q = (5.88 g)(2.09 J/g°C)(-118°C - (-21°C))

q = (5.88 g)(2.09 J/g°C)(97°C)

q = 1171 J

So the heat transfer, q, is 1171 J.

To know more about specific heat capacity please refer:

https://brainly.com/question/29766819

#SPJ4

By applying the density formula, it can be concluded that the volume of the iron is 5.89 dL.

Density is a measurement of the mass per unit volume of an object.

ρ = m / v  where

m = mass

v = volume

An iron has:

ρ = 7.86 g/cm³ = (7.86 * 10⁻³) kg / 10⁻² dL = 7.86 * 10⁻¹ kg/dL

m = 4.63 kg

So the volume (in dL) can be calculated as follows:

Volume = mass / density

             = 4.63 / 7.86 * 10⁻¹

             = 5.89 dL

Thus the volume of the iron is 5.89 dL.

To learn more about density, click here: https://brainly.com/question/1354972

#SPJ4

Explanation:

ce.

The equivalent capacitance of a parallel combination of capacitors is the reciprocal of the sum of the reciprocals of the individual capacitances. Therefore, the equivalent capacitance of a 3μF capacitor paralleled with a series combination of a 4μF and 5μF capacitor is:

1 / (1/3 + 1/4 + 1/5) = 1 / (1/12 + 1/20 + 1/15) = 1 / (7/60 + 3/60 + 4/60) = 60/14 = 4.2857 μF

The rifle's momentum is 10.45 kg.m/s. The result is obtained by using the formula for momentum.

Momentum refers to the quantity of an object's movement. Momentum equals to the mass times the velocity of an object.

It can be expressed as

p = mv

Where

A bullet leaves the muzzle of a rifle.

Find the rifle's momentum in kg.m/s!

We change the unit of mass of the bullet.

mb = 11.0 g

mb = 11.0 × 10⁻³ kg

The momentum before and after the bullet leaves the rifle is the same.

p initial = p final

Rifle's momentum = Bullets momentum

Rifle's momentum = mb × vb

Rifle's momentum = 11.0 × 10⁻³ × 950

Rifle's momentum = 10,450 × 10⁻³

Rifle's momentum = 10.45 kg.m/s

Hence, the momentum of the rifle is 10.45 kg.m/s.

Learn more about momentum here:

brainly.com/question/29453270

#SPJ4

The required acceleration of block m₂ down the incline is calculated to be a = (m₂ g sinβ - m₁ g sinα)/(m₁ + m₂)

Let us draw the free body diagrams of the given figure. It is attached in the below attachment figure 2.

Mass m₁ has its acceleration in upward direction

Mass m₂ has its acceleration in downward direction

In both strings, tension will remain the same.

Now resolving the forces for both the block we find,

T - m₁ g sinα = m₁ a

T - m₂ g sinβ = m₂ a

Hence, we substitute the value of T in any of the following we get,

T = m₁ g sinα + m₁ a

m₁ a - m₁ g sinα - m₂ g sinβ = - m₂ a

m₁ g sinα - m₂ g sinβ = - a (m₁ + m₂)

a = m₂ g sinβ - m₁ g sinα/(m₁ + m₂)

Thus, the required acceleration is calculated.

The question is incomplete. The complete question has the diagram attached in the attachment below.

To know more about pulleys:

https://brainly.com/question/2467969

#SPJ4

The time it takes for the rotor to stop, assuming constant angular acceleration, can be calculated using the equation:

t = (Vf - Vi) / a

where:

t = time

Vf = final angular velocity (0 revs/min in this case)

Vi = initial angular velocity (350 revs/min)

a = angular acceleration (constant)

The value of the angular acceleration (a) must be known or estimated to solve for t

For more questions like Angular acceleration visit the link below:

https://brainly.com/question/12910614

#SPJ4

The dipole moment of a dipole is defined as the product of the magnitude of the charge and the spacing between the two charges, written as "p". As a result, the dipole moment.

for the given dipole is: p = q * s The dipole moment is a vector quantity that is measured in Coulombs * meters (C m). The dipole moment moves from the negative charge to the positive charge. The magnitude of the dipole moment measures the dipole's strength, with bigger magnitudes representing a stronger dipole. Many physical and chemical processes, such as molecular interactions and polar solvents, rely on dipole moments. dipole moment of a dipole is defined as the product of the magnitude of the charge and the spacing between the two charges, written as "p". As a result, the dipole moment.

learn more about dipole  here:

https://brainly.com/question/30466194

#SPJ4

Answer:

800 Newtons.

Explanation:

Work is defined as the force applied to an object multiplied by the distance over which the force is applied. The formula for work is W = F x d.

In this case, the force required to lift the box is equal to the work done divided by the distance.

F = W / d

F = 800 J / 5 m

To convert Joules to newtons, we need to use the relation 1 Joule = 1 Newton x Meter

F = 800 N

So the box weighed 800 Newtons.

The tugboats are pulling on the barge with a force of 4000 units at an angle of 15 degrees above the line AB and a force of 5000 units at an angle of -15 degrees below the line AB.

To resolve these forces into scalar components, we can use the formula F = Fcosθ for the magnitude of the force along the x-axis, and F = Fsinθ for the magnitude of the force along the y-axis.

For the 4000 units force, the x-component is 4000cos(15) = 3646.2 units, and the y-component is 4000sin(15) = 699.7 units. For the 5000 units force, the x-component is 5000cos(-15) = 4652.1 units, and the y-component is 5000sin(-15) = -875.0 units.

The resultant force is calculated by adding the x-components and y-components of the two forces, yielding x-component of 8318.3 units and y-component of -175.3 units. The magnitude of the resultant force is 8463.9 units and the direction of the resultant force is -7.15 degrees below the line AB.

Learn more about the force:

https://brainly.com/question/12970081

#SPJ4

If no forces are acting on an object, it will continue to move with a constant velocity.

It will not change its speed or direction unless acted upon by a force. This concept is known as Newton's First Law of Motion or the Law of Inertia. Therefore, if an object is already in motion with a constant velocity and there are no forces acting on it, it will continue to move. However, if the object was initially at rest, it will remain at rest, as it requires a force to start it moving. An item at rest will remain at rest, and an object in motion will continue to travel with a constant speed in a straight line, according to Newton's First Law of Motion, often known as the Law of Inertia. The following is a mathematical formulation of the law:

F = ma,

The law states that if an item experiences no net force at all, there will be no acceleration, and it will continue to move at a constant speed.

To know more about forces please refer: https://brainly.com/question/13191643

#SPJ4

If you were suddenly transported to a planet with the same radius but twice the mass as earth, the force of gravity acting on you would change. This is because the force of gravity depends on the mass of the object you are near and the distance between you.

This force is a result of the mass of an object and its distance from another object with mass. The closer two objects are to each other, the stronger the force of gravity between them. On this new planet, you would still be the same distance from its centre, so the radius would not affect the force of gravity. However, because the planet has twice the mass of Earth, the force of gravity would be stronger.

To be more precise, the force of gravity is proportional to the product of the masses of the two objects and inversely proportional to the square of the distance between them. This means that if the mass of one object doubles, the force of gravity between them will increase by a factor of four. In this case, because the planet has twice the mass of Earth, the force of gravity acting on you would be four times stronger than it is on Earth.

To learn more about gravity here:

https://brainly.com/question/557206#

#SPJ11

From the instructions that have been explained, the answer is Vibration. This is because sound is energy created by vibrations.

Sound is a composite of signals, but theoretically pure sound can be described in terms of the speed of oscillation or frequency measured in Hertz (Hz) and the amplitude or loudness of the sound measured in decibels.

Sound is a physical phenomenon produced by the vibration of an object or the vibration of an object in the form of an analog signal with an amplitude that changes continuously with time, sound is closely related to the sense of 'hearing'. Sound or sound usually propagates through the air. Sound or sounds cannot travel through a vacuum.

Learn more about Sound type here

brainly.in/question/41857058

#SPJ1

The value of the coefficient of static friction always must be > 0 otherwise the coefficient can't be a friction coefficient.

What is friction ?

Friction is a force that opposes motion between two objects in contact. It arises due to the roughness of the surfaces in contact and the interlocking of their microscopic irregularities. Friction can be either static (when the two objects are not moving relative to each other) or kinetic (when the two objects are sliding or moving relative to each other). The magnitude of the friction force depends on the surface roughness, the normal force, and the coefficient of friction between the two surfaces.

To learn more about friction, click the given link,

https://brainly.com/question/15122221

#SPJ4

"The intersystem bonding termination is a device that provides a means for connecting bonding conductors for communications systems to the grounding electrode system." Option D is correct.

A system for interconnecting communications system intersystem bonding conductors to the grounding electrode system. A jumper is used to link the equipment-grounding conductor at the service to the grounded service conductor.

An Intersystem Bonding Termination is a device that connects communications system grounding conductors at the service equipment or at the disconnecting mechanism for buildings or structures supplied by a feeder or branch circuit, according to the National Electrical Code.

Thus, option D is correct.

To know more about conductors:

https://brainly.com/question/29558350

#SPJ4

public programmes, websites, notice boards, newspapers, radio, FM, and television, as well as prospectuses.

To learn more about television refer to:

https://brainly.com/question/22560323

#SPJ1

When acceleration is constant and the initial velocity is zero, displacement varies with time as a parabolic function, increasing at an increasing rate.

When acceleration is constant and the initial velocity is zero, displacement (d) varies with time (t) according to the equation d = 1/2at^2, where a is the acceleration. This equation can be derived from the relationship between velocity, acceleration, and displacement, which is given by the equation v^2 = u^2 + 2as, where u is the initial velocity.

Since the initial velocity is zero, the equation can be simplified to v^2 = 2as, where s is the displacement. By integrating both sides of the equation with respect to time, we get v = at, and by integrating again with respect to time, we get s = 1/2at^2.

Therefore, when acceleration is constant and the initial velocity is zero, displacement varies with time as a parabolic function, increasing at an increasing rate. The rate of increase of displacement depends on the magnitude of the acceleration. The greater the acceleration, the greater the rate of increase of displacement. The displacement at any time can be calculated by substituting the time into the equation d = 1/2at^2.

To know more about acceleration please refer: https://brainly.com/question/12550364

#SPJ4

There is no electric flow through the sphere. The passage of an electric field across a surface is measured as electric flux, which is proportional to the number of electric field.

lines traveling through the surface. In this case, the two charges inside the sphere are both positive and negative, which means they cancel each other out, and the net electric field inside the sphere is zero. As a result, the electric flow across the sphere is zero. no electric flow through the sphere. The passage of an electric field across a surface is measured as electric flux, which is proportional to the number of electric field. traveling through the surface. In this case, the two charges inside the sphere are both positive and negative, which means they cancel each other out.

learn more about electric flux  here:

https://brainly.com/question/14544020

#SPJ4

The resistive force the air exert on her body is 172 N

In physics, a resistive force is any force, or the vector sum of a lot of forces, that has a direction that opposes the motion of a body. slipping and/or rolling-related friction Moving through a fluid while experiencing drag.

The resistive force (F) is equal to the weight (mg) minus the gravitational force (ma) acting on the stuntwoman,

F = mg - ma.

Weight: mg = 62 kg * 9.8 m/s^2 = 606 N

Gravitational force: ma = 62 kg * 7.0 m/s^2 = 434 N

Resistive force: F = mg - ma = 606 N - 434 N = 172 N.

So, the air exerts a resistive force of 172 N on her body at that point.

Learn more about resistive force at:

https://brainly.com/question/2285158

#SPJ1

E = hv = hc/, where E is energy, h is Planck's constant, is frequency, c is the speed of light, and is wavelength, describes the relationship between energy and frequency as well as wavelength.

The separation between a given point and the same point at the beginning of the following wave cycle.

In essence, energy is inversely proportional to wavelength but directly proportional to radiation frequency. Accordingly, energy rises with a rise in frequency or a fall in wavelength, and falls with a fall in frequency or a rise in wavelength.

A wavelength () is the separation between one peak and the next. Frequency is the quantity that represents the total number of wavelengths in a period of time (f). The energy (E) and frequency (F) of a wavelength diminish as it grows in size.

To learn more about energy here:

https://brainly.com/question/1932868

#SPJ4

Each tape is measured to be 8 cm long. The mass of 1m of tape is 0.08 g. The magnitude of the gravitational force acting on each tape is 6.27x10⁻⁵N.

The force of gravitation on the earth's surface is directly proportional to the product of the mass of the earth and the mass of the body and is inversely proportional to the square of the distance from the earth's surface. Gravitational force acting on a body is given as, Fg=GMm/r². The mass of 1 m long tape is 0.08g, so the mass of 0.08m long tape is 0.08×0.08g=0.0064g. So, the gravitational force on each tape, Fg= (GM×0.0064)/ (0.08)² = (6.67×10⁻¹¹×5.97×10²⁴×0.0064)/(0.08×0.08) =6.27×10⁻⁵ N.

For further learning about Gravitational force, refer to the link:

https://brainly.com/question/12528243

#SPJ4

(a) The frequency at which the climber bounces is approximately  1.917 Hz. (b) The rope would stretch approximately 0.59 m to break the climber's fall. (c) The frequency of the climber's bouncing is 0.803 m and the frequency of the rope is  1.233 Hz.

Given:

Force constant (k) = 1.44 x 10⁴ N/m

Total mass (m) = 99.0 kg

(a) To determine the frequency at which the climber bounces, we can use the equation:

Frequency (f) = (1 ÷ 2π) × √(k ÷ m)

Frequency (f) = (1 ÷ 2π) × √((1.44 x 10⁴) ÷ (99.0))

Frequency (f) = 1.917 Hz

Therefore, the frequency at which the climber bounces is approximately  1.917 Hz.

(b) Given:

Mass (m) = 99.0 kg

Height (h) = 2.00 m

The potential energy lost by the climber can be calculated using the formula:

Potential energy (PE) = m × g × h

Potential energy (PE) = (99.0) × (9.8) × (2.00)

Potential energy (PE) = 1,932 J

Since the elastic potential energy stored in the stretched rope is equal to the potential energy lost by the climber, we can equate the two:

Elastic potential energy = Potential energy lost

(1/2) × k × x² = 1,932 J

x = √((2 × 1,932 ) ÷ k)

x = 0.59 m

Therefore, the rope would stretch approximately 0.59 m to break the climber's fall.

(c) If twice the length of nylon rope is used, the frequency of the climber's bouncing is 0.803 m on taking h = 4m.

The frequency of the rope is:

f = 1 ÷ 2π √(k ÷ m)

f = 1 ÷ (2 × 3.14) √((0.624×10⁴) ÷ 99)

f = 1.233 Hz

The frequency of the climber's bouncing is 0.803 m and the frequency of the rope is  1.233 Hz.

To know more about the frequency:

https://brainly.com/question/29739263

#SPJ12

The complete question is:

The length of nylon rope from which a mountain climber is suspended has a force constant of 1.44 x 104 N/m. (a) What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 99.0 kg? Hz (b) How much would this rope stretch (in cm) to break the climber's fall if he free-falls 2.00 m before the rope runs out of slack? Hint: Use conservation of energy. cm (c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used.

A thin, square, conducting plate 42.0 cm on a side lies in the xy plane. The charge density on each face of the plate is 1.98 x 10⁻¹⁰ C/cm².

The charge density on each face of the plate can be calculated by dividing the total charge on the plate by the surface area of each face.

The surface area of each face of the plate is 42.0 cm x 42.0 cm = 1764 cm²

So, the charge density on each face of the plate is given by:

ΔQ/ΔA = (3.50 x 10⁻⁸ C) / (1764 cm²) = 1.98 x 10^-10 C/cm².

Therefore, the charge density on each face of the plate is 1.98 x 10⁻¹⁰C/cm².

Charge density is a measure of the electric charge per unit volume or per unit area. It is a scalar quantity expressed in coulombs per cubic meter (C/m³) or coulombs per square meter (C/m²). Charge density is a crucial parameter in understanding the behavior of electric charges in materials, electric fields, and current flow.

Learn more about Charge density:

brainly.com/question/29212660

#SPJ4

Answer:

groundwater contamination.

Explanation:

For the semicircle of radius 2, the maximum area of the isosceles trapezoid is obtained when d = 2 * sqrt(2) / sqrt(3).

An isosceles trapezoid inscribed in a semicircle with diameter AB has maximum area when the height of the trapezoid is equal to the radius of the semicircle.

Let's call the length of AB = 2r, where r is the radius of the semicircle.

Since the trapezoid is isosceles, AD = BC = x.

Let's call CD = d.

The height of the trapezoid, h, can be found using the Pythagorean theorem:

= h^2

= r^2 - (d/2)^2

The area of the trapezoid is given by:

= A

= (AB + CD) * h / 2

= (2r + d) * h / 2

Substituting the value of h:

= A

= (2r + d) * sqrt(r^2 - (d/2)^2) / 2

To find the value of d that gives the maximum area, we take the derivative of A with respect to d and set it equal to zero:

= dA/dd

= sqrt(r^2 - (d/2)^2) - d * (d/4) / sqrt(r^2 - (d/2)^2)

= 0

Solving for d:

= d

= 2 * sqrt(r^2 - (d/2)^2)

Squaring both sides:

= d^2

= 4 * (r^2 - (d/2)^2)

Solving for d:

= d^2

= 4 * r^2 - 2 * d^2

= d^2

= 4 * r^2 / 3

= d

= 2 * sqrt(r^2 / 3)

Since r = AB / 2,

= d

= AB * sqrt(2 / 3) / 2

= AB * sqrt(1 / 3)

So, for the semicircle of radius 2, the maximum area of the isosceles trapezoid is obtained when

= d

= 2 * sqrt(2 / 3)

= 2 * sqrt(2) / sqrt(3).

To know more about trapezoid please refer:

https://brainly.com/question/8643562

#SPJ4

The power (watts) is needed to keep the car traveling at a constant speed of 80 km/h is 17.742KW.

Given the mass of car (m) = 1080kg

The initial speed of car (u) = 95km/h = 26.3m/s

The final speed of car (v) = 65km/h = 18.06m/s

Time taken to reduce the speed (t) = 7s

The constant speed of car (v1) = 80km/h = 22.22m/s

The power required to keep the car traveling at a constant speed = P

The acceleration of the car = Δv/t = v - u/t = 18.06 - 26.3/7 = -0.74m/s^2

The force acting on the car = F

Then, F = ma = 1080 x (-0.74) = -799.2N

Power (P) = F x v1 = -799.2 x 22.2 = 17.742KW

To learn more about acceleration click here https://brainly.com/question/13154163

#SPJ4

The Big Bang model, which contends that the universe started as an extremely hot, dense point around 13.7 billion years ago, is the most widely accepted theory for the creation and history of the universe.

The most popular theory for how the universe came into being is called the Big Bang Theory.

Simply expressed, it states that the universe as we currently understand it originated from an unimaginably hot and dense single point and expanded over the course of 13.7 billion years, first at unfathomable speeds and subsequently at a more palpable rate.

Learn more about Big Bang here:

https://brainly.com/question/1933033

#SPJ1

The probability of the freeman's hit is 0.76 if he hits 38 out of his 50 pithes.

Another meaning of probability is possibility. It is a topic of mathematics that deals with the chances of occurrence of a random event. The value varies from zero to one. Probability is introduced in Maths to predict or estimate how likely events are to happen. The meaning of probability is basically the chances of being successful of an event in a number of trial. This is the basic concept of probability theory. This is also used in the probability distribution, where we learn the possibility of results for a random experiment. To find the probability of an event to occur, first, we should know the total number of possibilities, in favor or in against.

Number of time freeman hits, n = 38

Total number of possibilities( hitting and missing), N = 50

So the probability P would be,  P = 38/50 = 0.76

To know more about probability, here

https://brainly.com/question/30034780

#SPJ4

The electrons rather than protons are the principal charge carriers in metal wires because electrons are free to move through the metal, whereas protons are fixed in place.

Electrons are negatively charged particles, whereas protons are positively charged particles. In metals, electrons are free to move and flow, making them the main charge carriers. On the other hand, protons are firmly fixed within the atomic nuclei of the metal, meaning that they are not free to move or flow. This is why electrons are the main charge carriers in metal wires and why electrical current is carried by the flow of electrons in metal wires. The flow of electrons in a metal wire can be influenced by an electric potential difference, which is what causes current to flow.

To learn more about electrons visit: https://brainly.com/question/26084288

#SPJ4

Your question seems to be missing, but I suppose the question was:

"Why are electrons, rather than protons, the principal charge carriers in metal wires?

(group of answer choices)

protons are free to move through the metal, whereas electrons are fixed in place.

electrons are free to move through the metal, whereas protons are fixed in place.

electrons are lighter, so they move faster than protons with the same kinetic energy.

electrons are in the nucleus, whereas protons are in a cloud around the nucleus."

The Motor A is more powerful than Motor B, because it has more power that is 300 W.

So here since Motor A has more power that is 300 W then it performs more work per unit time.

To learn more about power refer to :

https://brainly.com/question/1634438

#SPJ1