Why is speed a scaler quantity​

Answers

Answer 1

Answer:

Speed is a scalar quantity it is the rate of change in the distance travelled by an object, while velocity is a vector quantity  it is the speed of an object in a particular direction.


Related Questions

Which of the following combinations would result in the least acceleration?
O 12N and 1.0 kg
O 60N and 2.0 kg
O IN and 0.20 kg
O5N and 0.35 kg

Answers

Answer:

I need to talk to somone about my confusing love life

Explanation:

Density=2g/mL and volume=20mL what is mass

Answers

Answer:

40g

Explanation:

Mass = density x volume

= 2 x 20

= 40g

Answer:

m =  V × ρ

=  20 milliliter × 2 gram/cubic meter

=  2.0E-5 cubic meter × 2 gram/cubic meter

=  4.0E-5 gram

=  4.0E-8 kilogram

Explanation:

The density of a material, typically denoted using the Greek symbol ρ, is defined as its mass per unit volume.

ρ =    

m  

V

           where:

ρ is the density

m is the mass

V is the volume

The calculation of density is quite straightforward. However, it is important to pay special attention to the units used for density calculations. There are many different ways to express density, and not using or converting into the proper units will result in an incorrect value. It is useful to carefully write out whatever values are being worked with, including units, and perform dimensional analysis to ensure that the final result has units of mass  volume. Note that density is also affected by pressure and temperature.

When a body moves in circular motion at constant speed. Select all the correct answers The velocity and acceleration point in the same direction Centripetal force and acceleration point in perpendicular direction The velocity and acceleration point in opposite directions The velocity and acceleration point perpendicular to each other The acceleration is zero

Answers

In circular motion at a constant speed, the velocity and acceleration of a body point perpendicular to each other and in opposite directions.

In circular motion at a constant speed, the velocity and acceleration of a body have specific relationships:

The velocity of the body is always tangent to the circle at any given point. It points in the direction of motion.The acceleration of the body is directed towards the center of the circle and is called centripetal acceleration. It is always perpendicular to the velocity.The centripetal force, which is responsible for keeping the body moving in a circle, is also directed towards the center of the circle and is perpendicular to both the velocity and acceleration.

Therefore, the correct answers are:

The velocity and acceleration point perpendicular to each otherThe velocity and acceleration point in opposite directions

It is important to note that the acceleration is not zero in circular motion at a constant speed. The acceleration is directed towards the center of the circle and is responsible for continuously changing the direction of the velocity.

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The velocity and acceleration point perpendicular to each other, and the acceleration is zero.

In circular motion at a constant speed, the direction of the velocity and acceleration vectors have specific relationships.

The correct statements are:

- The velocity and acceleration point perpendicular to each other: In circular motion, the velocity vector is tangent to the circular path, while the acceleration vector is directed toward the center of the circle. Therefore, the velocity and acceleration vectors are perpendicular to each other.

- The acceleration is zero: In circular motion at a constant speed, the magnitude of the velocity remains constant, indicating that there is no change in speed. Since acceleration is the rate of change of velocity, and the velocity is not changing, the acceleration is zero.

The incorrect statements are:

- The velocity and acceleration point in the same direction: This is not true in circular motion at a constant speed. The velocity and acceleration vectors are perpendicular to each other.

- Centripetal force and acceleration point in perpendicular direction: This is incorrect. Centripetal force and acceleration have the same direction, both directed toward the center of the circle.

Understanding the relationships between velocity, acceleration, and centripetal force is essential in analyzing circular motion and determining the forces acting on objects moving in a circular path.

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Witch of the following statements best demonstrates that forces affect motion in organisms

Answers

The correct answer about the statements above which best describes the forces that motion in living organisms is:

The force of gravity which it exerts on a grasshopper.

The correct answer choice is option b.

How gravity affect motion in living organisms

The force of gravity which act on an organism causes it to move, fly or even accelerate. Grasshopper is an invertebrate animal which has no backbone. When this species is above the earth surface, the force of gravity support it wings to fly in the space and around their limit of flight zone. It is on this premise that we say that gravitational force has a great effect on the motion of living system.

In conclusion, we can now confirm from the explanation given above that one of the factors which causes motion movement in a living system is gravity.

Complete question:

Which of the following statements best demonstrates that forces affect motion in organisms.

a. The equilibrium forces on the body system

b. The force of gravity which it exerts on a grasshopper

c. a and b

d. none of the above

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acid rain is the result of pollutants being released into the

Answers

Acid rain is the result of pollutants being released into the air

What is acid rain ?

Acid rain is defined as rain or any other type of precipitation that is unusually acidic, which means it contains a lot of hydrogen ions. Acid rain has a pH level that is lower than this and typically ranges from 4-5. Most water, including drinking water, has a neutral pH that exists between 6.5 and 8.5.

When gases like sulphur dioxide and nitrogen oxides are released into the atmosphere, a chemical reaction takes place that eventually results in acid rain. These substances have the capacity to ascend to extremely high altitudes in the atmosphere, where they combine and interact with oxygen, water, and other chemicals to create acid rain, a type of ozone-depleting haze.

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an object has a mass of 10 kg and is pushed with a force of 2 N, how far did the object accelerate?

Answers

An object has a mass of 10 kg and is pushed with a force of 2 N the object acceleration is  0.2m/s².

Given;

m = 10 kg

F = 2N

by using Newton's second law of motion that is the formula of force

F = ma

a =  F/m

a = 2/10

a = 0.2m/s²

What is acceleration?

An object is said to accelerate when its velocity changes. A change in the speed of an object can be an increase or decrease in speed or a change in  direction of motion. Some examples of acceleration are a falling  apple, the moon orbiting  the Earth, or  a car stopping at a traffic light. Using these examples, we can understand that when  a moving object changes direction or increases or decreases speed, acceleration occurs.

The  unit of acceleration is  meter per second per second (m/s2).

There are 2 types of acceleration

Uniform Non-uniform acceleration

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A scooter travelling at 10 m/s speeds upto 20 m/s in 4 sec. Find the acceleration of the sooter

Answers

The acceleration of the scooter is 2.5 m/s².

To find the acceleration of the scooter, we can use the formula:

acceleration (a) = change in velocity (Δv) / time (t)

Given:

Initial velocity (u) = 10 m/s

Final velocity (v) = 20 m/s

Time (t) = 4 sec

Using the formula, we can calculate the change in velocity:

Δv = v - u

    = 20 m/s - 10 m/s

    = 10 m/s

Now, substitute the values into the acceleration formula:

a = Δv / t

  = 10 m/s / 4 sec

  = 2.5 m/s²

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can someone help me for this question?​

can someone help me for this question?

Answers

Answer:

A, 0.050 Hz

Explanation:

1) Frequency = speed divided by wavelength

time is 2* 60 = 120 seconds

distance = 6 wave lengths

speed = distance divided by time

speed = 6 wave lengths divided by 120

Hope this helps!

My mass is 65 kg and on Earth this equals a weight of 640 N, but on the moon where gravity is 1.7 m/s² my
weight would be
a. 640 N
b. 380 N
c. 110 N
d. no way to know without going there

Answers

Your weight on the moon given the data from the question is 110.5 N

Definition of mass and weight

Mass is simply defined as the quantity of matter present in an object. The mass of an object is constant irrespective of the location of the object.

Weight is simply defined as the gravitational pull on an object. The weight of an object varies from place to place due to gravity.

Relationship between mass and weight

Mass and weight are related according to the following equation

Weight (W) = mass (m) × Acceleration due to gravity (g)

How to determine the weight on the moonMass (m) = 65 KgAcceleration due to gravity on the moon (g) = 1.7 m/s²Weight (W) =?

W = mg

W = 65 × 1.7

W = 110.5 N

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A monorail starts from rest and accelerates at a rate of 2.2m/s2 for 10s.Then it runs at a constant speed for 74s and then slows down at a rate of 1.5m/s2

Answers

Answer:

d = 4217 m

Explanation:

Case 1.

Initial velocity, u = 0

Acceleration, a = 2.2 m/s²

Let d₁ is the distance in case 1. Using second equation of motion as follows :

\(d_1=ut+\dfrac{1}{2}a_1t_1^2\\\\\text{Here, u =0}\\\\d_1=\dfrac{1}{2}\times 2.2\times 10^2\\\\d_1=110\ m\)

Let d₂ in the distance in case 2. Using second equation of motion as follows :

\(d_2=ut+\dfrac{1}{2}a_2t_2^2\\\\\text{Here, u =0}\\\\d_2=\dfrac{1}{2}\times 1.5\times 74^2\\\\d_2=4107\ m\)

Total distance,

D = d₁ + d₂

D = 110 + 4107

D = 4217 m

Hence, the total distance covered is 4217 m.

If the maximum tension the rope can have before it breaks is 200 N, what is the centripetal acceleration just before the rope breaks.

Answers

The maximum tension the rope can have before it breaks is 200 N, the centripetal acceleration just before the rope breaks is equal to 200 N divided by the mass of the object.

To determine the centripetal acceleration just before the rope breaks, we need to consider the maximum tension in the rope and the mass of the object moving in a circular path.

The centripetal force required to maintain circular motion is provided by the tension in the rope. When the tension in the rope reaches its maximum value (200 N), it is equal to the centripetal force acting on the object.

The centripetal force (Fc) can be calculated using the following equation:

Fc = (mass) × (centripetal acceleration)

Given that the maximum tension in the rope is 200 N, we have:

Fc = 200 N

Let's assume the mass of the object is denoted by "m" and the centripetal acceleration is denoted by "ac".

Therefore, the equation becomes:

200 N = m × ac

Solving for the centripetal acceleration (ac), we have:

ac = 200 N / m

So, the centripetal acceleration just before the rope breaks is equal to 200 N divided by the mass of the object.

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X=Y=MC scourer that would be the answer for you mam or sir

Answers

Me das mas información?

Answer:

jello

Explanation:

it jiggles

Visible light is the _______ that our eyes can see.

Answers

Answer:

Spectrum because it could respond to a specific color based upon how you humans typically perceive Lights of the wavelength

Answer:

spectrum

Explanation:

What is the Kinetic Energy of a 210g object that is

moving with a si 17.7m/s? a speed of .

Answers

Answer:

32.89545 joules

Explanation:

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An astronaut in space might feel weightless, but there still is a gravitational attraction between the astronaut and earth. Which two factors affect this gravitational attraction?.

Answers

The two factors affecting the gravitational attraction between the astronaut and earth are the mass and distance.

Although an astronaut in orbit around the Earth experiences less of the effects of gravity than someone on the planet's surface does, this is not the reason why an astronaut feels weightless. Most manned spacecraft, including the International Space Station and the Space Shuttle, cannot travel so far from the Earth. Only around 11% of the Earth's gravitational pull is reduced at those heights compared to the planet's surface.

Because gravity is such a weak force, you don't see gravitational effects between items in a spacecraft. Gravity is by far the weakest of the four fundamental forces about which scientists can be certain.

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The mass and distance between the astronaut and the earth are the two variables influencing the gravitational pull.

This is not the reason why an astronaut feels weightless, even if an astronaut in orbit around the Earth feels less of the effects of gravity than someone on the planet's surface does. The majority of human spacecraft, such the Space Shuttle and International Space Station, are unable to travel that far from the Earth. In comparison to the planet's surface, just around 11% of the Earth's gravitational attraction is diminished at those altitudes.

In a spaceship, there are no gravitational influences between the objects because gravity is such a weak force. Of the four fundamental forces, gravity is by far the one about which physicists are most certain.

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which equation shows the correct algebraic representation of the conservation of total mechanical energy for this process?

Answers

The correct algebraic representation of the conservation of total mechanical energy is  1/2 Mv²  = 1/2 kx² + W_friction.

Mechanical energy is the sum of potential energy and kinetic energy. Mathematically,

Em = Ek + Ep

Where:

Em = mechanical energy

Ek = kinetic energy

Ep = potential energy

In this problem, the initial mechanical energy is due to the initial speed of the box. Hence,

Em_i = 1/2 Mv²

Where:

M = mass of the box

v = initial speed of the box.

Since the surface is not frictionless, there is some loss in the kinetic energy due to friction. We can write the remaining energy as:

remaining energy = Ek - W_friction

                              = 1/2 Mv² - W_friction

As the box hits the spring, the box stops, and therefore its kinetic energy is zero. The remaining energy (1/2 Mv² - W_friction) is transformed as the potential energy of the spring 1/2 kx². Them we have:

1/2 Mv² - W_friction = 1/2 kx²

or

1/2 Mv²  = 1/2 kx² + W_friction

Your question is incomplete. Most likely it was:

A box of mass M, sliding with an initial speed of v on a rough horizontal surface, runs into a fixed spring of elastic constant k, compressing it a distance x from its relaxed position before momentarily coming to rest. Which equation shows the correct algebraic representation of the conservation of total mechanical energy for this process? See the attached picture for the options.

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which equation shows the correct algebraic representation of the conservation of total mechanical energy

A. It Implies That M Is Finitely Generated. B. It Implies That M Has Nonzero Elements Of Nonzero Order. C. When Every Non-Null Element Has Null . D. In The Case That The Ring R Is A Body. E. None Of The Above Alternatives Gives A
Which of the following alternatives give a true statement. Justify your answer.
A modulus M over a ring R has a finite basis:
a. It implies that M is finitely generated.
b. It implies that M has nonzero elements of nonzero order.
C. When every non-null element has null .
d. in the case that the ring R is a body.
e. None of the above alternatives gives a true statement.
Which of the following statements are true?
a. If a subset of a module generates that whole module, then the subset cannot be
empty.
b. Every submodule S of a module M verifies the inequality C. Two different subsets of M have to generate two different submodules of M.
d. If S generates a submodule N of the module M, then contains S.
e. Neither statement is true.

Answers

The correct answer is e. None of the above alternatives gives a true statement. None of the statements in options a, b, c, and d are true when it comes to a modulus M over a ring R having a finite basis.

When a modulus M can be formed entirely from a finite set of elements, the modulus M is said to be finitely generated. M's finite basis does not, however, automatically imply that M is finitely generated. A basis is a set of linearly independent elements, and it might not be enough to produce all of the components of the modulus.

According to the assertion in option b, M must include nonzero items of nonzero order if it has a finite basis. This is untrue, though. The smallest positive number k, such that the element raised to the power of k equals the identity element, is referred to as the order of an element.

According to option c, every non-null element in a modulus with a finite basis has a null. Nevertheless, this claim is likewise untrue. It is possible for a modulus with a finite basis to have non-null elements without a null element.

According to option d, a ring R is a body, or a field, and only then can a modulus have a finite basis. However, this assertion is also untrue. Even though the ring R is not a field, a modulus can nonetheless have a finite basis. None of the given alternatives provides a true statement about a modulus M over a ring R having a finite basis.

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Give one specific example of matter changing one state to another

Answers

Answer:

water can change to a solid even though its a liquid

Explanation:when water freezes it turns into a solid

The ice cube floating in my sody is getting smaller and smaller.

There was a puddle of rain water on the ground by the side door this morning, but there's no puddle there now.

what would happen to the charges on the surface of a conductor if the electric field was not perpendicular to the surface

Answers

If the electric field was not perpendicular to the surface of a conductor, the charges on the surface of the conductor will move along the surface.

Why will the charges on the surface of the conductor move along the surface?

When аn electric field is аpplied to а conductor, it аpplies а force on the electrons in the conductor. The electrons will move in the direction of the electric field. If the electric field is perpendiculаr to the surfаce of the conductor, the electrons will move through the conductor.

However, if the electric field is not perpendiculаr to the surfаce of the conductor, the electrons on the surfаce of the conductor will move аlong the surfаce. This is becаuse the component of the electric field thаt is perpendiculаr to the surfаce of the conductor will be zero. Therefore, the electrons will only move аlong the surfаce of the conductor.

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With an average mass of only 30.0 gthe mouse lemur of Madagascar the smallest primate on Earth. Suppose this lemur swings on a light vine with a length of 2.4 m, so that the tension in the vine at the bot- tom point of the swing is 0.393 N. What is the lemur's tangential speed at that point?

Answers

Suppose that Reid weighs 72 kg. 2. The mouse macaque of India is the shortest primate on Earth, with an average weight of just 30.0 g. Imagine that this lemur swings 

What does the statistical term "average" mean?

Average. In everyday speech, a average is a specific number chosen to represent a collection of figures. In various settings, various average ideas are utilized. The word "average" frequently refers to the mathematical mean, which is the total of the values divided by the number of numbers being averaged. Statistical terms: mean, median

What are the several definitions of average?

In various settings, various average ideas are utilized. The word "average" frequently refers to the mathematical mean, which is the total of the integers divided by the amount of numbers being averaged. Mean, average, and mode all are considered measures of normal distribution in statistics, and in common parlance, any of these could be referred to as an average figure.

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What disagreement did Sigmund Freud have with both Josef Breuer and Jean Martin Charcot? A. Whether hypnosis was a neurological or psychological phenomenon B. Whether hypnosis should be conducted with pregnant women C. Whether hypnosis had any value as a curative remedy for patients D. Whether hypnosis was an effect of a ""hidden observer"" or the id Please select the best answer from the choices provided A B C D.

Answers

Sigmund Freud had a disagreement with both Josef Breuer and Jean Martin Charcot regarding the "whether hypnosis had any value as a curative remedy for patients" . The correct option is C.

Hypnosis is a technique that utilizes various mental and physical techniques to achieve a trance state in which a person becomes more responsive to suggestion. Sigmund Freud had a disagreement with both Josef Breuer and Jean Martin Charcot regarding the use of hypnosis as a cure for patients.

Freud observed Breuer using hypnosis with patients and then started using it himself in his psychoanalytic therapy sessions.He later observed that patients developed strong emotional bonds with him, which he felt was detrimental to the therapy. He also believed that the curative benefits of hypnosis were only temporary and that the underlying emotional issues still needed to be addressed through talk therapy.

In conclusion, Sigmund Freud had a disagreement with both Josef Breuer and Jean Martin Charcot about the value of hypnosis as a curative remedy for patients. Freud felt that the benefits of hypnosis were temporary, and underlying emotional issues needed to be addressed through talk therapy.The correct option is C.

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A 25.5 kg video cart is rolled down a hallway. It is accelerated at 0.12 m/s2. If a force of 30 N is applied to move the cart, what force of friction do the wheels have against the floor??

Answers

A 25.5 kg video cart is rolled down a hallway. It is accelerated at 0.12 m/s2. If a force of 30 N is applied to move the cart . The wheels have 26.4 N  force of friction against the floor

Force of friction is that force  that resists the sliding or rolling of one solid object over another

F(applied) - friction = F net

30 - fr = mass * acceleration

30 - fr  = 25.5  *  0.12  

fr = 30 - 3.06

  = 26.4 N

The wheels have 26.4 N  force of friction against the floor

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9. Which describes the two parts of a measurement?

Answers

A measurement has two parts: a value and a unit. a fixed amount of something, like a centimeter (CM) of distance.

if you traveled straight through the center of the earth and out the other side, what would you pass through along the way?

Answers

If you traveled straight through the center of the earth and out the other side,   you would pass through Earth's crust along the way

What happens if you go to the Earth's center?

It is impossible to reach the Earth's center and remain alive. Anyone who were to find themselves at the Earth's core, which is approximately 9,000°F hotter than the surface of the sun, would be instantly burned. The pressure is another factor that would crush you; it can be around three million times more than on the surface of the Earth.

The deepest hole that has yet been dug to directly measure temperature (or other physical parameters) is only around 10 kilometers (six miles) below the surface of the earth, which is 6,400 kilometers (4,000 miles) below our feet.

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An elephant weighs 40,000 newtons. Each of its four feet has an area of 500cm^2. Of the elephant stands on one foot, what pressure does it put on the ground?

Answers

Answer:

\(\large\boxed{\sf Pressure = 3.2\times 10^6\ Pa }\)

Explanation:

Here it is given that a elephant weighs 40,000 N and the area of its 4 feet is 500cm² . We need to find out what pressure will it exert if it stands on one foot .

Since area of 4 feet was 500cm² ,

Then the area of 1 foot will be 500cm²/4 = 125cm² .

Now , as we know that ;

\(\sf\qquad\longrightarrow \Bigg\lgroup Pressure =\dfrac{Force}{Area}\Bigg\rgroup\\\\ \)

☯️ \(\underline{\underline{\boldsymbol{ On \ substituting \ the \ respective \ values \ }}}\)

\(\sf\qquad\longrightarrow Pressure =\dfrac{Force}{Area}\\\\\)

\(\sf\qquad\longrightarrow Pressure =\dfrac{40,000\ N }{125cm^2}\\\\\)

\(\sf\qquad\longrightarrow Pressure =\dfrac{ 40,000\ N \times 10^4}{125m^2}\\\\\)

\(\sf\qquad\longrightarrow \boxed{\pink{\frak{ Pressure = 3.2\times 10^6 \ Pascal }}} \)

\(\rule{200}4\)

Pressure :- Force/area

= 40000n/125cm²

=40000n×10/125cm²

=3.2×10 Pascal

A child on a sled (total weight 500 N) is pulled up a 10-m slope that elevates her a vertical distance of 1 m. What is the theoretical mechanical advantage of the slope?

1. 50
2. 10
3. 500
4. 5000​

Answers

The theoretical mechanical advantage (MA) of the slope can be calculated using the following formula: MA = output force/input force

The work done to move the child and the sledge up the slope is given by the formula, work = force x distance

work = force x distance

work = 500 N x 10 m

work = 5000 J

input force = 5000 N

Therefore, the theoretical mechanical advantage of the slope is:

MA = output force/input force

MA = 500 N / 5000 N

MA = 0.1

So, the correct answer is 2) 10.

What are output and input forces?

Output force and input forces are terms used in the context of machines and mechanical systems. Output force refers to the force exerted by a machine or system on an object it is acting upon. Input force, on the other hand, refers to the force applied to a system to produce an output force.

What is mechanical energy?

Mechanical energy is the energy that an object or a system possesses due to its motion or position relative to other objects. Mechanical energy can be either kinetic energy or potential energy.

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What are the x / y-components? I'd also like a step-by-step explanation please.

What are the x / y-components? I'd also like a step-by-step explanation please.

Answers

The x and y component of the vector are -18.32 m and 3.23 m respectively.

What are the x and y components of the vector?

The x and y component of the vector is calculated by applying the following formula.

Bx = B cosθ

By = B sinθ

where;

B is the magnitude of the vectorBx is the x componentBy is the y componentθ is the angle of the vector measured above x axis

The vector is located in negative x direction but positive y direction.

The angle of the vector from x axis = 90⁰ - 80⁰ = 10⁰

Bx = B cosθ  =  -18.6 m x cos ( 10 ) = -18.32 m

By = B sinθ = 18.6 m x sin ( 10 ) = 3.23 m

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A telescope whose objective is a lens and which contains no mirrors is a(n) _____ telescope.A. Deflecting.B. Achromatic.C. Refracting.D. Reflecting.E. Compound.

Answers

A deflecting telescope is one with a lens as its objective and no mirror.

What is deflecting telescope?

A deflecting telescope is one that makes use of a single or more curved mirrors to reflect light and generate a picture. Mirrors, rather than lenses, are employed in reflecting telescopes to gather light. The light in a reflector passes from the telescope tube to the big concave primary mirror, which reflects the light up the tube to the smaller convex secondary mirror, which reflects the light in relation to the eyepiece. Because light is reflected back and forth rather than traveling in a straight line from one end of the telescope tube to the other, reflecting telescopes are shorter than refractors.

Here,

A deflecting telescope has a lens as its objective rather than a mirror.

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A bowling ball with a mass of 7.0kg strikes a pin that had a mass of 2.0kg the pin flies forward with a velocity of 6.0m/s, and the ball continues forward at 4.0 m/s. What was the original velocity of the ball?

Answers

The conservation of momentum P states that the amount of momentum remains constant when there are not external forces.

We don't have external forces, so:

\(P_0 = P_1\\m_bv_{0b}+m_pv_{0p}=m_bv_{1b}+m_pv_{1p}\\\)

Where:

mb is the mass of the bowling ball mp the mass of the pin\(v_{0b}\quad and\quad v_{0p}\) the initial velocities of the bowling ball and the pin.\(v_{1b}\quad and\quad v_{1p}\) the final velocities of the bowling ball and the pin.

Solving for v0b:

\(v_{0b} =\dfrac{m_bv_{1b}+m_pv_{1p}- m_pv_{0p}}{m_{b}}\\\\v_{0b} =\dfrac{(7\;kg)(4\;m/s)+(2\;kg)(6\;m/s)- (2\;kg)(0 \;m/s)}{7\;kg}\\v_{0b}=\dfrac{40}{7}\;m/s\\\\\boxed{v_{0b}\approx5.71\;m/s}\)

R/ The original velocity of the ball was 5.71 m/s.

The original velocity of the ball is 5.71 m/s.

The principle of conservation of momentum: In a closed system, The total momentum before collision is equal to total momentum after collision.

From the principle of conservation of momentum,

MU+mu = MV+mv.................... Equation 1

Where M = mass of the bowling ball, m = mass of the pin, U = initial velocity of the bowling ball, u = initial velocity of the pin, V = final velocity of the bowling ball, v = final velocity of the pin.

From the question,

Given: M = 7 kg, m = 2 kg, u = 0 m/s (at rest), v = 6.0 m/s, V = 4 m/s.

Substitute these values into equation 1 and solve for U

7(U)+2(0) = 7(4)+2(6)

7U = 28+12

7U = 40

U = 40/7

U = 5.71 m/s.

Hence, The original velocity of the ball is 5.71 m/s.

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Why is an object’s mass, rather than its weight, used to indicate the amount of matter it contains?.

Answers

An object's mass, rather than its weight is used to indicate the amount of matter it contains because weight is defined as the amount of force due to an existing field (In most cases, gravitational field) that is experienced by the body. The weight of the same body can be different in different environments it's observed.

However, the mass of the body is the exact measure of the amount of matter contained in a body. Which is constant, regardless of the environment, or conditions the body is observed.

Hence, for real-world calculations and experimentation, the mass of the body is considered to represent the amount of matter it contains rather than its weight.

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