What is the momentum of a child and wagon if the total mass of the child and wagon is 22 kg and the velocity is 1. 5 m/s?.

Answers

Answer 1

The momentum of a child and wagon if the total mass of the child and wagon given is 22 kg and the velocity is 1. 5 m/s is 33 kg⋅m/s.

What is momentum and its S.I Unit?The product of an object's mass and velocity is its momentum (p=mv). It has both a magnitude and a direction, making it a vector quantity.Momentum's S.I. unit is  'kg⋅m/s'

Solution:

Given:

Mass collectively=22 kg

velocity= 1. 5 m/s

To find momentum we use the formula for momentum which is;

p=mv

Putting the values we get

p= 22*1.5

p=33 kg⋅m/s

Hence, The momentum of a child and wagon when the total given mass of the child and wagon is 22 kg and the velocity is 1. 5 m/s is 33 kg⋅m/s.

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Related Questions

A 2 kg book is sitting on a table. A 10 n force is pulling to the right. A 3 n force is pulling to the left. What is the net force acting on the book?.

Answers

The net force acting on the book is 7N right.

The net force is defined as the total of all forces exerted on an object. Net force is essential since it aids in describing the motion of an item and can be used to calculate acceleration. The first law of motion of Isaac Newton states that an object in motion will remain in motion and an object at rest will remain at rest unless acted upon by a net force that is imbalanced. This indicates that knowing the net force acting on an object will aid in predicting its velocity.

In this case, we are given that:

Force F1 = 10 N pulling to the right

Force F2 = 3 N pulling to the left

Let's assume the right is positive and the left is negative.

To calculate the net force, we can use this following formula:

Fnet = F1 + F2

Fnet = 10 + (-3)

Fnet = 7

As the result, the net force would be 7 N.

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If a 40 kg object has a momentum of 400 Kgm/s, how fast is it traveling

Answers

The object is traveling at 10 m/s.

Momentum is defined as the product of an object's mass and velocity. The formula for momentum is:

p=mv

where,

p = momentum

m = mass

v =  velocity

We can use this formula to find the velocity of an object given its momentum and mass. To solve for velocity, we can divide both sides of the equation by mass:

velocity = momentum/mass

In this case, the object has a mass of 40 kg and a momentum of 400 Kgm/s, so we can plug in these values to find the velocity:

velocity = 400 Kgm/s / 40 kg = 10 m/s

Therefore, the object is traveling at 10 m/s.

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Which statement best summarizes the information in the paragraph? Earthquakes may occur at all types of plate boundaries. The strength of an earthquake depends on the type of boundary. All earthquakes at plate boundaries result from forces underneath Earth’s surface or volcanic eruptions. Different types of plate interactions result in earthquakes of varying strengths at various depths.

Answers

Different types of plate interactions at plate boundaries can cause earthquakes of varying strengths, at various depths, which can be caused by both forces underneath Earth's surface and volcanic eruptions.

What is plate interaction?

Plate interactions refer to the forces and mechanisms that cause the movements and interactions of the Earth’s plates. These interactions are driven by convection currents in the Earth’s mantle, which are generated by the heat energy released by the Earth’s core. The plates move in different directions, resulting in different types of plate interactions. The most common type of plate interaction is called divergent boundaries, which occur when two plates move away from each other.

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Answer: D

Explanation:

Natural gas-fired generation of power is among the primary sources of energy production in NC. Explain what it is.

Answers

energy the top states in the nation for nuclear power electricity production is North Carolina. The contributions of natural gas-fired energy over the previous ten years.

What is the primary energy source in North Carolina?

nuclear energy Nuclear energy contributed for 33% of North Carolina's net generation in 2021, placing the state in the top five states for production. North Carolina was one of the top ten states in 2020 for both total annual motor fuel spending and petroleum consumption.

What is the main source of production of primary energy?

one of the main ways to produce energy is through the combustion of natural gas. Describe it in detail.Sunlight is the principal energy source on Earth's surface and can.As the effects of global warming worsen, North Carolina must go nuclear. Nuclear energy will become the best solution for clean, dependable, and economical electricity, and recent state legislation compels Duke Energy to dramatically cut carbon emissions by 2030.

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Calculate the charge if the energy transferred is 5. 25 kj and the voltage is 15 volts.

Answers

The amount of charge given that the energy transferred is 5.25 kilojoules and the voltage is 15 volts will be 0.35 coulombs.

Charge is a property of matter that describes the amount of electrical energy in a substance. It can be positive or negative, and it is measured in units called coulombs. Objects with the same charge will repel each other, while objects with different charges will attract each other. This is the basis of Coulomb's Law and for how electricity works.

The charge, measured in coulombs (C), can be calculated by using the formula:

charge = energy transferred / voltage

charge = 5.25 kJ / 15 V

charge =  0.35 C

Therefore the charge will be 0.35 coulombs.

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a 415-kg container of food and water is dropped from a airplane

Answers

Since the object is experiencing free fall, if you ignore air resistance, the time it will take the container to fall 300m to the ground is 7.82 seconds.

What is free fall?

Any motion of a body in which gravity is the only force acting on it is referred to as free fall.

The object dropped from the airplane is experiencing free fall.

Ignoring air resistance, the only force acting on the container is the force of gravity which accelerate the container by a constant value.

The time taken for the object to reach the ground is determined using the formula of an object  experiencing free fall as given below:

s = ut + ¹/₂gt²

where

h is the height above the ground = 300 m

u is the initial vertical velocity of the container and is equal to zero since the object starts from rest.

g is the acceleration of gravity = 9.8 m/s²

t is the time = ?

The equation above becomes;

h = ¹/₂gt² since u is zero

Solving the equation for t:

t = √2h/g

t = √2 * 300 / 9.8

t = 7.82 seconds.

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Complete question:

A 415-kg container of food and water is dropped from an airplane at an altitude of 300m. First, consider the situation ignoring air resistance. Then calculate the more realistic situation involving a drag force provided by a parachute.

1. If you ignore air resistance, how long will it take the container to fall 300m to the ground?

A block with the mass of 14.26kg is on a ramp with an incline of 41 degrees. If the block is stationary, what is the minimum value of the coefficient of static friction? [Please explain to me how you did it, I'm giving you 50 points lol the last two times I've asked ive gotten either no explanation or a link to a calculator...]

Answers

The minimum value of the coefficient of static friction is 1.33.

What is the coefficient of static friction?

To calculate the minimum value of the coefficient of static friction, we need to determine the force of static friction acting on the block. The force of static friction is equal to the force of gravity acting on the block (mg) multiplied by the coefficient of static friction (µs

m = 14.26kg

θ = 41°

g = 9.8 m/s²

The force of gravity acting on the block is given by the formula:

Fg = mg

where,

m =  (mass of the block)

g =  (acceleration due to gravity)

Fg = 14.26kg *9.8 m/s²

Fg = 139.75 N

The force of static friction can be found using the formula:

Fstatic = µs * N

where,

µs = coefficient of static friction (unknown)

N = Normal force acting on the block

The normal force acting on the block is equal to the force of gravity acting on the block perpendicular to the ramp.

N = mg * cos(θ)

where,

θ = 41 degrees (incline of the ramp)

N = 14.26kg * 9.8 m/s² * cos 41°

N = 105.47 N

So,

Fstatic = µs * (mg * cos(θ))

making µs subject of the formula and substituting already calculated vaues we get,

µs =      Fstatic

          (mg * cos(θ))

µs =    139.75 N

         105.47 N

µs = 1.33

This is the minimum value of the coefficient of static friction.

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two positive charges of 6.0 μc are separated by 0.50m. what force exists between the charges?

Answers

The force that exists between the charges is calculated as 1.296 * 10^-18 N.

What is electrostatic force?

It is the force of attraction between two opposing charges, protons and electrons.

The electric force between charged bodies at rest is called electrostatic force or Coulomb force. Although the law was known earlier, but it was first published in 1785 by French physicist Charles-Augustin de Coulomb. It is the force of attraction between two opposing charges, protons and electrons.

Given, q1 = q2 = 6 *10^-6

and r = 0.5m

F= 1/4πc * q1 q2/r²

As 1/4πc = 9* 10^-9

= (9* 10^-9 * 6*10^-6*6*10^-6)/0.5²

= 1.296 * 10^-18 J

The force that exists between the charges is 1.296 * 10^-18 N.

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In a simple pendulum, the weight of the bob can be
divided into two components, one tangent to the
bob's direction of motion and the other perpen-
dicular to the bob's direction of motion. Which of
these is the restoring force, and why?

Answers

The tangent component, as it always pulls the bob in the direction of equilibrium (and is not balanced by the tension from the pendulum arm).

What components make into a basic pendulum?

Another mechanical mechanism that oscillates is the straightforward pendulum. It consists of a point mass "m" hung from a fixed support by a light, inextensible string of length L. The gravitational force is what causes the motion to move in a vertical plane.

What two factors determine a pendulum's period?

The length and gravitational acceleration of a basic pendulum are the only factors that govern its period. Other elements, such mass, have no effect on the time at all.

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An advantage of electromagnets over bar magnets is that you can easily vary the __________ of the magnetic field. What word completes this sentence?.

Answers

An advantage of electromagnets over bar magnets is that you can easily vary the strength of the magnetic field.

What is electromagnets?

An electromagnet is a type of magnet that is created when an electric current passes through a coil of wire. It produces a magnetic field due to the current flowing through the coil. Electromagnets are used in a wide variety of applications, such as motors, generators, speakers, and magnetic separation equipment. Electromagnets have the advantage of being able to be switched on or off, which allows them to be used in a controlled manner. They are also able to be adjusted in strength, which makes them very versatile and powerful. Electromagnets are also used in magnetic resonance imaging (MRI) machines, where they create a magnetic field that is used to take images of the body's internal structures.

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a mechanical wave transmits energy through a vacuum. true or false?

Answers

Answer:

False

Explanation:

False ... a mechanical wave needs a medium of particles to propagate....a vacuum has no particles

way to say about light energy??

Answers

Answer:

Light energy is a kind of kinetic energy with the ability to make types of light visible to human eyes. Light is defined as a form of electromagnetic radiation emitted by hot objects like lasers, bulbs, and the sun.

8. A penny dropped into a wishing well
reaches the bottom in 1.50 seconds. How
deep was the well?

Answers

Answer: 11 meters

Explanation: i'm rlly sorry if i am wrong

To calculate the depth of the well, we can use the equation:

distance = 1/2 * acceleration due to gravity * time^2

Where distance is the depth of the well, acceleration due to gravity is 9.8 m/s^2, and time is the time it takes for the penny to fall to the bottom of the well.

Plugging in the given value of time = 1.5 seconds and acceleration due to gravity = 9.8 m/s^2.

Distance = 1/2 * 9.8 * (1.5)^2 = 11.55 meters

So the depth of the well is approximately 11.55 meters.

A large telescope of mass 8410 kg is in a circular orbit around the earth, making one revolution every 927 minutes. What is the magnitude of the gravitational force exerted on the satellite by the earth? (G = 6.67 × 10-11 N ∙ m2/kg2, Mearth = 6.0 × 1024 kg)

Answers

The Earth's gravitational pull on the satellite is 651.8 N. Consequently, the satellite's gravitational pull on Earth is 651.8 N. As a result, the spacecraft accelerates at a rate of 1.5 m/s2.

Why does a satellite in a circular orbit not feel the effects of gravity?

Centripetal force is used to maintain an object moving in a circle due to gravity. Since gravity always behaves perpendicular to motion, it has no effect on an item in a circular orbit.

Calculation:

Mass of Telescope= 8410 kg

revolution in minutes = 927

G = 6.67 × 10-11 N ∙ m2/kg2

Mass of earth = 6.0 × 1024 kg

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HELP PLEASE HELP PLEASE

Answers

Refer to the attached image.

Select the correct answer. Which of these four atoms has the most neutrons?

A. A
B. B
C. C
D. D

Answers

D. 36 in Kr

Let's analyze all the elements in Option

A. Se, Selenium is an element of the Oxygen family which have a mass of 78.96 with 34 electrons.B. Br, Bromine is an element a Halogen which a mass of 79.9 with electrons 35.C. Ge, Germanium a semiconductor that has a mass of 72.64 and 32 electrons.D. Kr, Krypton, is an inert gas that has a mass of 83.79 and 36 electrons.

By looking at all the given options we can clearly see that Krypton has the highest number of electrons as compared to the given options so It is the answer. Also with the highest mass, in the given four options.

It can be easily seen in options as the Number of electrons and mass is already written in options.

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A Physical Education (gym) class is playing a game of soccer. During the game, the ball experiences a net force of 0 newtons. Which statement explains what is most likely happening with the ball?

A. It is sitting still.


B. It is bouncing off someone’s knee.


C. It has been kicked across the field.


D. It has been tossed straight up into the air.

Answers

When, During the game, the ball experiences a net force of 0 newtons. It is sitting still is the statement explains what is most likely happening with the ball.

What is Net force ?

The vector sum of the various or single forces exerted on a particle or object is termed as the net force. The original force's affect on the motion of the particle the force is exerted is replaced by the net force, which is a single force.

Newton:As per the International System of Units, the unit of force is the newton. The force that causes a mass of one kilogram to accelerate by one metre per second  is what we call as 1 kgm/s2. It bears Isaac Newton's name in honor of his major contributions to classical mechanics, particularly Newton's second rule of motion.

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Recently, I did an experiment on pressure and volume. When I decreased the volume, the pressure decreased, and when I increased the volume, the pressure decreased, like normal. However, when increasing the volume, the pressure recorded was slightly higher than when decreasing the volume. What is the reason for this (I'm sorry for being unable to attach a photo of the results)

Answers

The relationship between pressure and volume is described by Boyle's Law, which states that at a constant temperature, the pressure and volume of a gas are inversely proportional. This means that as the volume increases, the pressure decreases, and as the volume decreases, the pressure increases.

However, it is important to note that the relationship between pressure and volume is not always perfect and there are many factors that can affect the measurements. For example, if the apparatus used to measure the pressure and volume is not calibrated properly, or if there is a leak in the system, this can lead to inaccurate results. Additionally, external factors such as temperature changes or the presence of impurities in the gas can also affect the measurements.

It is possible that the reason for your observation is an experimental error, or if not, it could be that you have discovered something new or an exception to the Boyle's Law. I recommend you to repeat the experiment and check your measurements and equipment, also double check your calculations and notes.

A mixture of gasoline vapor and air is placed in an engine cylinder. The piston has an area of 7.4 × 10^−3 m^2 and is displaced inward by 7.2 × 10^−2 m. If 9.5 × 10^5 Pa of pressure is placed on the piston, how much work is done during this process? Is work being done on or by the gas mixture?

Answers

The work done during the process is  506.2 J.

What is the work done during the process?

The work done during the process is calculated by applying the following equation.

W = PΔV

W = P ( Vf - Vi )

where;

P is the constant pressure of the systemVf  final volume of the systemVi is the initial volume of the system

The final volume of the system is calculated as follows;

Vf = A x h

Vf = 7.4 x 10⁻³ m² x 7.2 x 10⁻² m

Vf = 5.33 x 10⁻⁴ m³

W = 9.5 x 10⁵ Pa x ( 5.33 x 10⁻⁴ m³ - 0 )

W = 506.2 J

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If a 14.26kg block is sliding down a ramp with a 41 degree incline at 2.361 m/s^2, what is the value of the coefficient of kinetic friction? PART D

Answers

The value of the coefficient of kinetic friction is 0.32.

What is the value of coefficient of friction?

The value of the coefficient of friction is calculated by applying Newton's second law of motion as shown below.

Ff = ma

where;

Ff is the force of frictiona is the acceleration of the blockm is the mass of the block

μmg cosθ = ma

μg cosθ = a

μ = a / ( g cosθ )

where;

a is the acceleration of the blockg is acceleration due to gravityθ is the angle of inclination of the block

The value of the coefficient of kinetic friction is calculated as;

μ =  ( 2.361 m/s² )  / ( 9.8 m/s² x  cos41 )

μ = 0.32

Thus, the value of the coefficient of kinetic friction between the block and the inclined ramp is a function of the acceleration of the block and the angle of inclination of the ramp.

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Question 3 of 5
The gravitational pull of the Moon is much less than the
gravitational pull of Earth.
Which two statements are true for an object with a mass of 20 kilograms that
weighs 44 pounds on Earth?
A. The object's mass would be less on the Moon.
B. The object's mass would be the same on the Moon.
C. The object's weight would be the same on the Moon.
D. The object's weight would be less on the Moon.

Answers

Answer:

Number b and c are true

B. The object's mass would be the same on the Moon.

C. The object's weight would be the same on the Moon.

Which is an example of why impuise is so important?
Elevators being hoisted up by a pulley
Using nylon ropes in rock climbing
Running a race around a track
Plane taking off from a runway

Answers

Impulse is important because it is the force that changes an object's momentum.

What is momentum?

Momentum is a physical concept that describes the movement of an object due to the product of its mass and velocity. Momentum is a vector quantity, meaning it has both a magnitude and a direction. In classical mechanics, momentum is conserved, meaning that the total momentum of a system remains constant over time.

In the examples given, impulse is what allows the elevator to be hoisted up, the nylon ropes to hold a climber's weight, the runner to move around the track, and the plane to take off from the runway. Without impulse, none of these activities would be possible.

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A 5. 0 kg object, initially at rest, is acted on by a net force of 3. 0 s. During that time the object moves.

Answers

The distance moved by an object when it acted by a net force 1 N and time 3s is found to be 0.9m

Why is mass acceleration due to net force?

According to this, an object's rate of change in velocity is directly proportional to the force used and moves in the direction of the applied force. The equation: summarises it. Mass (kg) times acceleration (m/s2) equals force (N). A constant mass item will therefore accelerate in direct proportion to the force exerted.

F = ma

acceleration = F/m => 1/5

v= u + at, u=0 (initially at rest);

v=at = distance/t = at;

S = distance => ut + 1/2at^2

=> 0 + 1/2 x 1/5 x 9 => 0.9m

the distance traveled by object in the given time 3s = acceleration x t2

How is acceleration calculated?

The acceleration is determined by dividing the net force by the mass. An object's acceleration doubles if the net force exerted on it also doubles. Increased mass will result in a halving of acceleration. If the mass and net force are both doubled, the acceleration will remain constant.

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A net force of 1.0 N acts on a 5.0-kg object, initially at rest, for 3.0 seconds. What is the distance the object moves during that time?

A car leaves a city with a speed of 90 mph. Three hours later and out of the same city another car in pursuit of the first leaves with a speed of 120 mph. Find the time it takes for the second car to reach the first.

Answers

Answer:

9 hours

Explanation:

When the 2nd car catches up to the first, both cars will have gone the same distance.  

Distance = rate x time

Distance car 1 traveled when car 2 catches up = 90 mph(3 hr + t)

Distance car 2 traveled when it catches up to car 1 = 120t

90(3 + t) = 120t

270 + 90t = 120t

30t = 270

t = 270/30 = 9 hrs

Therefore, 12 hours after car 1 leaves the city and 9 hours after car 2 leaves the same city, they meet up.  

To prove it:

90(12) = 120(9) = 1080    Car 2 catches up to Car 1 1080 miles from the city

A delivery man lifts a package with a 12 N force at a constant velocity. If the package is lifted from the ground to the mailbox 1.9 m and the delivery man exerts 16 W of power, then
a. What is the work done?
b. How much time does it take him to lift it?

A 2800 kg car exerts a constant force of 20,000 N while traveling across 50 m. Assume the car
starts from rest.
a. How much work is done by the car?
b. How much power is exerted by the car, in Watts?

Answers

With the use of formulas, For the first question, W = 22.8 J, Time = 1.43 s. For the second question, W = 1000000J, P = 534,522.48 Watts

What is Power ?

Power can simply be defined as the rate at which work is done. It is measured in Watt.

Given that a delivery man lifts a package with a 12 N force at a constant velocity. If the package is lifted from the ground to the mailbox 1.9 m and the delivery man exerts 16 W of power, then

a.  the work done W = F × S

W = 12 × 1.9

W = 22.8 J

b. The time taken to lift it can be found by using power formula

P = W/t

16 = 22.8/t

t = 22.8/16

t = 1.43 s

Given that a  2800 kg car exerts a constant force of 20,000 N while traveling across 50 m. Assume the car starts from rest.

a. Work W done by the car = F × S

W = 20000 × 50

W = 1,000,000 J

b. To know how much power is exerted by the car, let us first find the speed of the car.

K.E = Work

1/2mv² = F × S

1/2 × 2800 × v² = 1000000

1400v² = 1000000

v² = 1000000/1400

v² = 714.28

v = √714.28

v = 26.7 m/s

Power P = F × V

P = 20000 × 26.73

P = 534,522.48 Watt

Therefore, the power exerted by the car is 534,522.48 Watts

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(i) The mass of snow that falls on the animal is 1.65 kg. The specific latent heat of fusion of
snow is 330000J/kg.
Calculate the thermal energy needed to melt this snow.

Answers

The energy that makes up a system's temperature, or thermal energy, is said to be present in the system.The required thermal energy is 2360J.

What is thermal energy ?

The energy that makes up a system's temperature, or thermal energy, is said to be present in the system.

Thermal energy is emitted as heat.Thermodynamics, a distinct field of physics, examines how work is accomplished via the transmission of heat between various systems (see the first law of thermodynamics).

Mass of aluminum  = 25g

Melting point  = 658°C

Latent heat of melting  = 94.4j/g

Unknown:

Amount of heat require for melting = ?

The amount of heat required for this melting will be the product of the mass of the aluminum and the latent heat of melting;

H = m L

m is the mass

L is the latent heat of melting

insert the parameters and solve;

H = 25 x 94.4 = 2360J

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A penny i dropped off the top of the Statue of Liberty, 93 m tall. What i the peed of the penny after 2. 5 econd (auming no air reitance)?

Answers

The speed of the penny after 2.5 seconds is 25 m/s. The result is obtained by using the equation in uniformly accelerated straight motion.

What is uniformly accelerated straight motion?

A uniformly accelerated straight motion is a motion of an object moving with acceleration or deceleration in a straight line.

The equations apply in vertical dimension are

v₁ = v₀ + gt

v₁² = v₀² + 2gh

h = v₀t + ½ gt²

Where

v₀ = initial velocityv₁ = final velocityg = acceleration due to gravityt = timeh = height of object

A penny is dropped off the top of the Statue of Liberty, 93 m tall.

Find the speed of the penny after 2.5 second! (assuming no air resistance)

A dropping off penny has an initial speed of 0.

v₁ = 0

We used g = 10 m/s.

So, the speed at time t = 2.5 s would be

v₁ = v₀ + gt

v₁ = 0 + 10(2.5)

v₁ = 25 m/s

Hence, after 2.5 seconds, the penny will have the speed of 25 m/s.

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When you eat a healthy snack, what does the process of digesting that snack involve?

Question 9 options:

breaking down food


rejecting insulin


discarding nutrients


movement through the blood

Answers

The answer is “Breaking down food”.

A person pulls a sled along a flat snowy surface, dragging it with a rope. The rope makes a 20-degree angle with the ground. How much work does the person do on the sled if she drags it for 125 meters with a force of 70 N?

Answers

The person will do 8222.3 Joules of work on the sled if she drags it.

What does "work" mean in physics?

Work is a physics term used to describe the energy transfer that takes place when an object is moved over a distance by an external force, at least some of that is applied in the direction of the displacement.

Given, angle made by the rope θ = 20°

displacement, s = 125m

force, F = 70N

Positive work is done by the force's displacement-direction component.

W = Fcosθ.s

W = 70N(cos20°)125m.

W = 8222.3 Joules

Since it is perpendicular to the distance, the force's vertical component does NOTHING. In other words, it is ineffective at moving the sled. Since it is the horizontal component of the force that moves the object, it is effective.

The person will do 8222.3 Joules of work on the sled if she drags it.

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A convex mirror forms an image of half the size of the object. When it is moved 15 cm away from the object, the size of the image becomes 2/5 times the size of object. Find the focal length of convex mirror. Answer is 30.

Answers

Answer:

  focal length = 30 cm

Explanation:

You want the focal length of a convex mirror when moving the mirror an additional 15 cm away from the object causes its image size to decrease from 1/2 to 2/5 the size of the object.

Mirror equation

The relation between focal length (f), object distance (do) and image distance (di) is ...

  1/f = 1/do +1/di

The ratio of heights is the same as the ratio of distances:

  hi/ho =di/do

Application

If we let do represent the original object distance, then (1/2)do = di, the original image distance. This gives one equation we need:

  1/f = 1/do +1/(1/2do) = 3/do

Moving the mirror increases the object distance to (do+15). Now, the equation becomes ...

  1/f = 1/(do+15) +1/(2/5(do+15)) = 7/(2(do+15))

Solution

Substituting for 1/f, we have ...

  3/do = 7/(2(do +15))

  6(do +15) = 7do . . . . . . . . . cross multiply

  90 = do . . . . . . . . . . . . subtract 6·do

Then the focal length is ...

  1/f = 3/do

  f = do/3 = 90/3 = 30

The focal length of the mirror is 30 cm.

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