Assuming friction forces arc negligible. write an expression, using only the variables provided, for the acceleration that the block of mass m_1experiences in the x- direction. Your answer should involve the tension, T. Under the same assumptions, write an expression for the acceleration, a_2, the block of mass m_2 experiences in the y-direction. Your answer should be in terms of the tension, T and m_2. Carefully consider how the accelerations a_1 and a_2 are related. Solve for the magnitude of the acceleration, a_1, of the block of mass m_1, in meters per square second. Find the magnitude of the tension in the rope, T, in newtons. T =

A lens with a shorter focal length is better as a fire starter because it creates an image that is brighter. To burn a fire, we need a high light intensity. This means that the lens with a smaller focal length will be more effective.

Shorter focal length lenses create a bright, highly focused light beam which is ideal for a fire starter. A longer focal length lens produces a dimmer and more spread out light beam which would not be suitable for this purpose. When using a shorter focal length lens, the light is focused more narrowly and with more intensity, creating the necessary light intensity needed to start a fire.

Shorter focal length lenses also typically have larger apertures which allow more light to pass through the lens, resulting in a brighter image. Additionally, a shorter focal length lens also has a wider field of view which allows more light to enter the lens. This further contributes to the brightness of the image.

In conclusion, when all other things are equal, a lens with a shorter focal length is better as a fire starter because it creates a brighter image that has the necessary light intensity needed to start a fire. The wider field of view and larger aperture of a shorter focal length lens allows more light to pass through and create a brighter image.

For more such questions on Focal length.

https://brainly.com/question/29414869#

#SPJ11

Answer:

8.57 m

Explanation:

To solve the problem, we have to decompose the two vectors along the two directions first:Vector A:- x component: Ax = +9.66 m- y compoment: Ay = 0 (the vector lies along the x-axis)Vector B:- x component: - y component: So now we can find the sum of the two vectors by adding the components along each axis:And the magnitude of the sum is given by Pythagorean theorem:

Answer:

B) A car accelerating from 10 m/s to 20 m/s

Explanation:

I explained this yesterday.

Answer:

heyyyyyyy

Explanation:

In order to calculate the capacitance of this capacitor, we can use the formula below:

Where C is the capacitance (in Farad), e0 is the dielectric constant (equal to 8.9 * 10^-12) A is the plate area (in m²) and d is the plate separation (in m).

So, for A = 4 * 10^-2 m² and d = 0.04 (equal to 4 * 10^-2) m, we have:

Therefore the correct option is the first one.

Its acceleration is zero. The correct answer is option C.

Acceleration is the rate at which velocity is changing.

Given that an object is facing the left and is at rest. Its acceleration is zero

Since the object is at rest, that means it has not be displaced.

Displacement is proportional to acceleration. When displacement is zero, acceleration is automatically equal to zero.

Therefore, Its acceleration is zero. The correct answer is option C. Zero

Learn more about Acceleration here: https://brainly.com/question/14344386

#SPJ1

Answer:

Extension, e = 0.0000359 meters

Explanation:

Given the following data;

Mass = 0.26 g

Spring constant = 7.1 N/m

To find the extension of the thread;

Conversion:

1000 grams = 1 kg

0.26 grams = 0.26/1000 = 0.00026 kg

First of all, we would determine the force acting on the spider;

Force = mass * acceleration due to gravity

Force = 0.00026 * 9.8

Force = 0.00255 N

Next, we would determine the extension;

Force = spring constant * extension

Substituting into the equation, we have

0.00255 = 7.1 * extension

Extension, e = 0.00255/7.1

Extension, e = 0.0000359 meters

Answer:

To determine the focal length of the corrective lenses required, we can use the lens formula:

1/f = 1/do + 1/di

where f is the focal length of the lens, do is the object distance (the distance from the object to the lens), and di is the image distance (the distance from the lens to the image).

In this case, the object distance is 32.0 cm (the distance from the man's eyes to the book), and the image distance is the distance from the lens to the man's eyes, which is 2.0 cm. We want to find the focal length, so we can rearrange the equation to solve for f:

1/f = 1/do + 1/di

1/f = 1/32.0 cm + 1/2.0 cm

1/f = 0.03125 cm^-1 + 0.5 cm^-1

1/f = 0.53125 cm^-1

f = 1.881 cm

Therefore, the required focal length of the corrective lenses is approximately 1.881 cm.

Answer:

1.212447π

Explanation:

To determine the focal length we use the formula

1/f=1/v-1/u
Here U is 145 cmand v is 32cm

therefore we use pythagorus theorem

AC^2=AB^2+BC^2

then we use reciprocal of circle

=1.212447π (use 3.14 or 22/7)

The effect after the current is tripled is changing the drift velocity by a factor 3.

We need to know about drift velocity of electrons to solve this problem. The drift velocity can be determined as

v = I / (n . A . q)

where v is drift velocity, I is current, n is atom number density, A is surface area and q is the charge.

From the question above, we know that

I2 = 3 . I1

According to drift velocity formula, the drift velocity is proportional to current

v ~ I

Hence, the ratio of drift velocity and current is

v1 / v2 = I1 / I2

substitute the final current (I2)

v1 / v2 = I1 / (3.I1)

v1 / v2 = 1 / 3

v2 = 3v1

For more on drift velocity at: brainly.com/question/25700682

#SPJ4

The correct answer is D,  "The rotational inertia increases, while the angular momentum is conserved."

Inertia is a fundamental concept in physics that describes an object's resistance to changes in its motion. Specifically, it refers to an object's tendency to maintain its current state of motion, whether at rest or in motion at a constant velocity, unless acted upon by an external force.

The concept of inertia was first introduced by Sir Isaac Newton in his first law of motion, also known as the law of inertia. According to this law, an object will remain at rest or in uniform motion in a straight line unless acted upon by a net external force. The amount of inertia an object has depends on its mass - the greater the mass, the greater the inertia.

To learn more about Inertia visit here:

brainly.com/question/3268780

#SPJ4

Answer:

Physical Education

Explanation:

You get to learn about physical activities and exercise to make you healthier and more in shape

Answer:

lol

Explanation:

hujvgbuhn

The maximum height to which the motor can lift the 5.00-kilogram stone vertically in 10.0 seconds is approximately 4.16 meters. The correct option is 3

We can use the equation for work done:

Work = Force * Distance

In this instance, the motor's work is equal to the change in the stone's potential energy as it is raised vertically. Potential energy is calculated as follows:

Mass times gravitational acceleration times height equals potential energy.

Given the stone's mass of 5.00 kg, the gravitational acceleration of about 9.8 m/s2, and the lifting time of 10.0 seconds, we may get the potential energy as follows:

Potential Energy = Mass * Gravitational Acceleration * Height

We can convert the work performed to potential energy and solve for height since the motor's power rating of 20.4 watts is equal to the amount of work completed in one unit of time.

Power = Time / Work

Energy Potential x Time equals Power

Potential Energy: Height = (Power * Time) / (Mass * Gravitational Acceleration) Mass * Gravitational Acceleration: Height = (Power * Time)

Substituting the given values:

Height = (20.4 W * 10.0 s) / (5.00 kg * 9.8 m/s²)

Height ≈ 4.16 m

Therefore, the maximum height to which the motor can lift the 5.00-kilogram stone vertically in 10.0 seconds is approximately 4.16 meters.

Learn more about work done here : brainly.com/question/25923373

#SPJ1

Converse:

if q , then p

Inverse:

If not p , the not q.

Contra Positive:

If not q, then not p.

If then statement is a conditional statement. In this statement there is some condition at the first part of the sentence and then in the second part there is a conclusion.

The example of if then sentence is as follows,

If this camel is thirsty, then it will drink water from the well.

In this example there is a condition in first part that if camel is thirsty, in the second part there is conclusion which states that then it will drink water from well.

Learn more at https://brainly.com/question/24294393

The magnitude of the torque when the force is applied at an angle of 135° to the wrench is approximately 17.68 Nm. Answer: 17.68 Nm.

Given data:

Force, F = 100 N Length of wrench, L = 0.25 m Angle between force and wrench, θ = 135°To find: The magnitude of the torque when the force is applied at an angle of 135° to the wrench.

Solution:

The torque (τ) is defined as the cross product of the force (F) and the distance (r) between the pivot point and the point of force application.τ = r × F

The magnitude of the torque can be found as:|τ| = r × |F| × sinθThe direction of the torque is given by the right-hand rule.

The distance between the pivot point and the point of force application is the length of the wrench. So,r = L = 0.25 m|F| = 100 Nsinθ = sin 135° = (1/√2)Putting the values in the above equation, we get:|τ| = 0.25 × 100 × (1/√2)≈ 17.68 Nm

Therefore, the magnitude of the torque when the force is applied at an angle of 135° to the wrench is approximately 17.68 Nm. Answer: 17.68 Nm.

to know more about right-hand rule visit :

https://brainly.com/question/16737117

#SPJ11

Answer:

maybe A 100 minutes of intense activity weekly

Answer:

please help

Explanation:

The electrical component that is used for detecting light levels in digital cameras is the light meter.

A light meter is a device used to measure the amount of light. In photography industry, a light meter is used to determine the proper exposure for a photograph.

A digital camera is a camera that captures photographs in digital memory.

Most digital cameras can be grouped into four main types which includes:

Each type of these digital cameras has advantages and disadvantages, and some the types are more expensive than their counterparts.

There are two different kinds of light meters which are:

-An incident light meter measures all the light falling onto a subject. Incident light meters help a camera focus on a subject regardless of how light or dark the surrounding background is.

- Reflective light meters  on the other hand do the opposite by measuring the light reflected by or bouncing off a subject.

Learn more about digital cameras at: https://brainly.com/question/22789334

#SPJ1

Answer:

Density = Mass / Volume

Mass = .3 kg

Volume = 2 * 5 * 4 = 40 m^3

Density = .3 g / 40 m^3 = .0075 kg / m^3

1 kg/m^3 = kg * 1000 g / kg / (1 m^3 * (100 cm/m)^3) = 10E-3  gm/cm^3

Density = 7.5 E-3 gm/cm^3

Answer:

This question is misleading since

1/C = 1/C1 + 1/C2 + 1/C3 + 1/C4

so it would have to be less than the smallest individual capacitance

The response is C. It has bulk and occupies room. All substance has a volume and takes up space, whether it be a solid, liquid, or gas. It is a basic characteristic of matter. While matter can move from hot to cold and perform work.

A metal-skinned hull, steam propulsion, and a main armament of guns equipped to fire explosive shells are the three qualities that define a fighting ironclad. All of these innovations reached their full maturity with the French Navy's November 24, 1859, launch of the "Gloire," but the US Civil War saw the invention of the ironclad.

Any attribute that may be measured, such as a substance's mass, volume, length, density, colour, malleability, or melting point Properties of matter include point, hardness, smell, temperature, and more.

To know more matter visit:-

https://brainly.com/question/14987556

#SPJ1

Answer: D

Explanation:

The gravitational potential energy associated with the plane is 2.36 x \(10^{5}\) J

Gravitational potential energy is energy an object possesses because of its position in a gravitational field.

It is given by P.E = mgh

where m = mass

g= acceleration due to gravity

h = height of the object

Here,

h = 1.45km  = 1450 m

P.E = 3.36 x \(10^{9}\) J

g = 9.8m/\(s^{2}\)

therefore, m = P.E/ gh = (3.36 x \(10^{9}\)s J)/ 9.8 x 1450

m = 2.36 x \(10^{5}\)

Hence mass of the airplane is 2.36 x \(10^{5}\)

To know more about gravitational potential energy here

https://brainly.com/question/19768887

#SPJ2

The  pair of equations that could be used to find the tensions is given as

m3a3 = Tb & m2a2 = Ta - Tb

To find the force of tension in a string, we use the formula T = mg + ma.

We know that  tension is described as the pulling force transmitted axially by the means of a string, a rope, chain, or similar object, or by each end of a rod, truss member, or similar three-dimensional object; tension might also be described as the action-reaction pair of forces acting at each end of said elements.

If the three boxes are pulled to the left by strings with negligible mass on a horizontal surface, the masses of the boxes are m1, m2, and m3, where m3>m2>m1.  If the acceleration of the system and the pulling force  are known, the we have the tension equation is given as m3a3 = Tb & m2a2 = Ta - Tb.

Learn more about tension at:  https://brainly.com/question/918617

#SPJ1

Answer:

Explanation:

At first, you have to get the acceleration value from the given data.

\(s=ut+\frac{1}{2}at^{2}\)

s= 45m

u= 0 m/s

t = 6s

a = ?

45 = 0+ 0.5 × a × 6²

45 = 0.5 × 36 × a

45 = 18a

a = 2.5 m/s²

Now, you can use F=ma equation

F = ?

m = 1200kg

a = 2.5 m/s²

F = 1200 × 2.5

F = 3000 N

Answer:

The answer is True

Explanation:

I hope it helps

Answer:

it's true

Explanation:

High–pitched sounds have short wavelengths, which means that the peaks are close together. Low–pitched sounds have longer wavelengths, so the peaks are more spread out.

Answer:

False

Explanation:

A dominant trait is a trait that is inherited from parents. It is a trait that is obtained from a particular copy or type of a gene that overshadows or overwhelms the effects of another type or copy of that gene. Dominant traits are controlled by a single gene.

Therefore , as the trait is dominant and controlled by a single gene,the mutation must have occurred on both diploid copies is a false statement.

Answer:

15 mph

Explanation:

t ÷ d

time ÷ distance

30÷2

=15

Answer:

15 mph

Explanation:

Speed can be found using the following formula.

s=d/t

where d is the distance and t is the time.

The car traveled 30 miles in 2 hours. Therefore, the distance is 30 miles and the time is 2 hours.

d=30 miles

t=2 hours

s= 30 miles/2 hours

Divide 30 by 2

s=15 miles/hour

The car's speed is 15 miles per hour.

Answer:

Density= 2.78 g/cm³

Relative density=2.8

Explanation:

To calculate the density of the cube we have to use the formula ρ=mass/volume

ρ stands for density.

So now we don't have the volume of the cube and to find the volume of the cube we have to use the formula a³

3³= 9 cm³

Now plug in the values. ρ= 25 g/9 cm³

ρ= 2.78 g/cm³

To find the relative density, we have to use the formula ρsample/ρH20

The sample means the density of the substance earlier. We do not know the density of water but it is constant at 997 kg/m³.

Now we have to make the units same so you change the unit of the density of cube to kg/m³

So, 25/1000= 0.025 kg

9/100×100×100 (because cm³ which means that there should be 3 meters to change the unit and to conver cm to meter we need to divide by 100 so 9cm/100, 9cm²/100×100, 9cm³/100×100×100)

=0.000009 m³

The new density= 0.025 kg/ 0.000009 m³

= 2777.78 kg/m³

Now plug the values into the formula:

relative density= 2.777.78 kg/m³ / 997 kg/m³

=2.8

There is no unit since kg/m³ and kg/m³ cancels

In PA view of the x-ray, the patient is upright with the back to the x-ray machine and the film to the chest.

A chest x-ray is the radiological test that is performed in the emergency room the most frequently. All thoracic cavity organs are regularly affected by a wide range of acute and chronic disorders, which can be diagnosed using the PA view.

Furthermore, the diagnosis of pneumoperitoneum or free intraperitoneal gas in patients with significant abdominal pain is made most precisely by plain radiographs. The lungs, the bony thoracic cavity, the mediastinum, and the great vessels are all examined in the posteroanterior (PA) chest view.

Furthermore, the diagnosis of pneumoperitoneum or free intraperitoneal gas in patients with significant abdominal pain is made most precisely by plain radiographs.

To know more about x-ray:

https://brainly.com/question/28345664

#SPJ4

A thermal energy transfer portfolio would be an excellent way for students to showcase their knowledge and understanding of this important scientific concept.

Thermal energy transfer is the energy transfer between two or more objects that have different temperatures. This energy transfer can take place in three different ways: conduction, convection, and radiation. A portfolio is a collection of documents or pieces of work that demonstrate a person's skills, abilities, and achievements in a particular area.

Therefore, a thermal energy transfer portfolio would be a collection of documents or pieces of work that demonstrate a person's skills, abilities, and achievements related to thermal energy transfer. This portfolio could include lab reports, experimental data, diagrams, and explanations of the various ways thermal energy can be transferred.

For example, a student's thermal energy transfer portfolio might include:

1. A lab report detailing an experiment they conducted to measure the rate of heat transfer through different materials using conduction.

2. A diagram showing the process of heat transfer through convection in a fluid, such as air or water.

3. A written explanation of the concept of radiation and how it relates to thermal energy transfer.

4. A spreadsheet of data showing the temperature changes in a system as heat is transferred through it.

For more such questions on thermal energy:

https://brainly.com/question/19666326

#SPJ8

The four stages of planetary development for a terrestrial planet like Earth are 1. accretion, 2. differentiation, 3. cratering, 4. tectonics.

The four stages of development of terrestrial planet are explained below:

1. Accretion: The gravitational attraction between tiny particles in the solar nebulae allowed them to clump together, creating planetesimals that collided and combined to create planets.

2. Differentiation: During this stage, denser materials such as iron sank to the center of the planet to form the core, while lighter materials such as silicates rose to the surface to create the crust.

3. Cratering: During this stage, the planet was heavily bombarded by comets and asteroids, causing craters and other impact features to form. This stage lasted for about the first billion years of Earth's existence.

4. Tectonics: Plate tectonics emerged during this phase, which is marked by volcanism, mountain formation, and the movement of continents.

Learn more about terrestrial planet : https://brainly.com/question/17210115

#SPJ11