Bumper car A (281 kg) moving +2.82 m/s makes an elastic collision with bumper car B (209 kg) moving +1.72 m/s. What is the velocity of car B after the collision?

Answers

Answer 1

The velocity of car B after the calculation can be obtained as 5.5 m/s.

What is a collision?

We have to look at the principle of the conservation of the linear momentum and that is what we need so as to be able to deal with the problem that we have in this question as we have it here.

We know that the total momentum of the system would have to be constant and the implication of this is that the momentum before collision must be the same as the momentum after collision if we have been able to designate the system as a closed system.

Using the formula as we have shown it, we know that;

Momentum before Collison must be equal to momentum after collision

As such we have the following as shown below;

(281 * 2.82) + (209 * 1.72) = (281 * 0) + (209 * v)

792.42 + 359.48 = 209 v

v = 5.5 m/s

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Related Questions

On his fishing trip Justin rides in a boat 12 km south. The fish aren’t biting so they go 4 km west. They then follow a school of fish 1 km north. What distance did they cover? What was their displacement?

Answers

Answer:

I think the answer is 8km2

Answer:

Distance = 17km

Displacement = 12.6 km

Explanation:

south 12km

west 4km

north 1km

Total distance = 12 + 4 + 1 = 17km

Total displacement = in picture above.

A ball is dropped from a height of 20m. If its velocity increases uniformly at the rate 10m/s2 with what velocity and after what time will it strike the ground?

Answers

Answer: 2 seconds

Explanation:

Since I've only memorized a couple of formulas for these things, I need to do the time first:

I'll use the formula  Distance = (1/2) (acceleration) (time)²

20 m = (1/2) (10 m/s²) (time)²

Time² = (20 m) / (5 m/s²)

Time² = 4 sec²

Time = 2 seconds

Now ...

-- When the ball hits the ground, it has been falling for 2 seconds.

-- Its acceleration has caused its speed to increase by 10 m/s every second.

-- So after 2 seconds, its speed has grown to (2 s) (10 m/s²) = 20 m/s .

A submarine is 58.8 m from a whale. The sub sends out a sonar ping to locate the whale. The speed of sound underwater is 1520 m/s. How much time does it take for the sound wave to travel to the whale and back? (Unit = s)

Answers

Answer:

0.08

Explanation:

this problem assume that both of whale and submarine are in rest position or in constant linier motion in same direction and same speed.

The sound will travel from Submarine to the whale and back again to submarine. so the time will be like this

t = 2d/v

t = 2*58.8/1520

t = 117.6/1520

t = 0.077368 s

t ≈ 0.08 s (less then 1 s)

Answer:

0.0774s

Explanation:

The formula to find the time of an echo is time = (2)(distance) / (velocity)

So plug in the numbers to the formula

(2)(58.8) / (1520)

= 0.0774s

An alternating source drives a series RLC circuit with an emf amplitude of 6.34 V, at a phase angle of +32.6°. When the potential difference across the capacitor reaches its maximum positive value of +5.08 V, what is the potential difference across the inductor (sign included)?

Answers

Answer:

V=-8.35v

Explanation:

Pls see attached file

A loudspeaker at the origin emits a 130 Hz tone on a day when the speed of sound is 340 m/s. The phase difference between two points on the x-axis is 5.6 rad.What is the distance between these two points

Answers

Answer:

distance between two points having phase difference 5.6 rad is

Φ = 2.33 m

Explanation:

given

frequency, f = 130Hz

speed of sound in air, v = 340m/s

distance between two crust or through with phase difference 2[tex]\pi[/tex] = λ (wavelength)

phase difference = 5.6 rad

note: distance between two points having a phase difference = [tex]\frac{ \lambda }{2\pi }[/tex]

∴ distance between two points having phase difference of 5.6 rad is = [tex]\frac{ \lambda }{2\pi }[/tex] ×5.6

Recall

v = f × λ

speed = frequency × wavelength

wavelength = speed/frequency

λ  = v/f

λ  = 340/130 = 2.615 m

∴ distance between two points having phase difference 5.6 rad is = [tex]\frac{ 2.615 }{2\pi }[/tex] ×5.6 = 2.33 m


1600cm of fresh water of density 1g/cm are mixed with 1200 cm of sea water of
density 1.2g/cm'. Determine the density of the mixture..

Answers

Answer:

[tex]\boxed{\mathrm{Density = 1.1 \ g/cm^3}}[/tex]

Explanation:

Volume of fresh water:

Volume = Mass / Density

Volume = 1600/1

[tex]V_{1}[/tex] = 1600 cm³

Volume of sea water:

Volume = Mass / Density

Volume = 1200/1.2

Volume = 1000 cm³

So,

Total Volume when they are mixed = 1600+1000

Total Volume when they are mixed = 2600 cm³

And,

Total Mass when they are mixed = 1600+1200

Total Mass when they are mixed = 2800 g

Now, Measuring the density of the mixture:

Density = Mass / Volume

Density = 2800/2600

Density = 1.1 g/cm³

Answer:

[tex]\mathrm{1.086 \: g/cm^3 }[/tex]

Explanation:

Volume of fresh water ⇒ 1600 cm³

Density of fresh water ⇒ 1 g/cm³

Volume of sea water ⇒ 1200 cm³

Density of sea water ⇒ 1.2 g/cm³

[tex]density=\frac{mass}{volume}[/tex]

[tex]mass=density \times volume[/tex]

Calculate mass of fresh water.

[tex]m=1600 \times 1[/tex]

[tex]m=1600 \: g[/tex]

Calculate the mass of sea water.

[tex]m=1200 \times 1.2[/tex]

[tex]m=1440 \: g[/tex]

Find the density of the mixture.

[tex]density=\frac{mass}{volume}[/tex]

[tex]\rho = \frac{1600+1440}{1600 + 1200}[/tex]

[tex]\rho = \frac{3040}{2800}[/tex]

[tex]\rho= 1.0857...[/tex]

A body moves in a straight line. At time, it's acceleration is given by a = 12t + 1. When t =0, the velocity of the body v is 2 metres per second and its displacement from the origin s is 0.
1. Express v and s in terms of t.
2. Determine velocity and displacement of the body after 3 seconds. ​

Answers

Answer:

v = 6t² + t + 2, s = 2t³ + ½ t² + 2t

59 m/s, 64.5 m

Explanation:

a = 12t + 1

v = ∫ a dt

v = 6t² + t + C

At t = 0, v = 2.

2 = 6(0)² + (0) + C

2 = C

Therefore, v = 6t² + t + 2.

s = ∫ v dt

s = 2t³ + ½ t² + 2t + C

At t = 0, s = 0.

0 = 2(0)³ + ½ (0)² + 2(0) + C

0 = C

Therefore, s = 2t³ + ½ t² + 2t.

At t = 3:

v = 6(3)² + (3) + 2 = 59

s = 2(3)³ + ½ (3)² + 2(3) = 64.5

which of the following best describes the function of a generator?

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Mechanics.

So basically here, we know the fact that,

A Generator is opposite of the motor that Converts the Mechanical Energy to Electrical Energy.

C. Concerts Mechanical Energy to Electrical Energy.

Which of the following statements are true? (mark all that apply)
a) Light is a form of energy.
b) The rate of flow of energy is measured in Watts.
c) White light is made of all the colors of the rainbow and can be split to show them all including shades of gray all the way to black
d) Black is the absence of light.

Answers

Answer:

(a) and (b)

Explanation:

Energy is the capacity to do work, and exists in various forms. These forms can be converted one to another by the use of appropriate means. Some examples are sound, mechanical, solar, light, which causes the sensation of vision, etc. energy is measured in Joules (J).

The rate of transfer of energy is called power.

i.e Power = [tex]\frac{energy}{time}[/tex]

It is measured in Watts (W).

When a white light is disperses into its colors, gray and black are not part of the colors. And a black sometimes could be as a result of the absorption of all other colors of light.

pleasee help me helppppp

light travels from a region of air into a region of air making an angel of incidence of 60 degree which of the following best describes the path of the light as it moves into the air

a)the light will bend toward normal

b)the light will bend away from the normal

c) the light will continue without bending

d)the light will move in some manner not determined by the information here ​

Answers

Answer:

B

Explanation:

If the light is pointing down ,and then hits a surface of a 60 degree angle, then the direction will be away from the light since the light is touching a surface that is flat of a 60 degree angle then it will reflect off of it Perpendicular.

What is Cognitive Behavioural Therapy?

Answers

Answer:-

Cognitive behavioral therapy (CBT) is a form of psychological treatment that has been demonstrated to be effective for a range of problems including depression, anxiety disorders, alcohol and drug use problems, marital problems, eating disorders and severe mental illness.  CBT leads to significant improvement in functioning and quality of life.

Hope this help :)

And can u give brainliest.

The goal of cognitive behavioral therapy (CBT), a type of psychotherapy, is to alter unhelpful thought and behavior patterns.

What is Cognitive Behavioural Therapy?

Cognitive Behavioral Therapy (CBT) is a form of psychotherapy that focuses on changing negative patterns of thinking and behavior. It is a goal-oriented and structured therapy that aims to help individuals identify and modify their thoughts and behaviors that may be contributing to psychological distress.

CBT is based on the idea that the way people think about a situation affects how they feel and how they behave. In CBT, therapists work with clients to identify and challenge negative and irrational thoughts and beliefs, and replace them with more realistic and positive ones. This can lead to improved mood and behavior.

CBT is a collaborative therapy, where the therapist and client work together to set goals and develop strategies to achieve them. CBT typically involves a specific number of sessions, with the number and frequency of sessions varying depending on the individual's needs and goals.

CBT has been found to be effective in treating a wide range of mental health issues, including anxiety disorders, depression, post-traumatic stress disorder, obsessive-compulsive disorder, and eating disorders. It is often used in combination with other treatments, such as medication, and can also be adapted for use with children and adolescents.

Therefore, To change unhelpful thought and behavior patterns is the aim of cognitive behavior therapy (CBT), a type of psychotherapy.

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The mass density of a certain planet is uniform throughout the volume of the planet. If r is the distance from the center of the planet to a point mass inside the planet, the gravitational force on the mass is

Answers

Answer:

F= GMm/r^2

Explanation:

According to newtons formula for gravitation,

F= GMm/r^2

You can chew through very tough objects with your incisors because they exert a large force on the small area of a pointed tooth. What pressure in Pa can you create by exerting a force of 360 N with your tooth on an area of 1.08 mm2

Answers

Answer:

3.33×10⁸ Pa

Explanation:

Pressure: This can be defined as the force acting normally (perpendicular) per unit area. The S.I unit of force is N/m² or Pa.

P = F/A.................. Equation 1

Where F = force created with the tooth, A = Area.

Given: F = 360 N, A = 1.08 mm² = 1.08/1000000 = 1.08×10⁻⁶m.

Substitute this values into equation 1

P = 360/1.08×10⁻⁶

P = 3.33×10⁸ Pa.

Hence the pressure created = 3.33×10⁸ Pa

Some students set up a circuit and decided to measure the voltage at different points around
the circuit. (Assume all the resistance are the same.)
What was the voltage reading shown on Voltmeter 1,2 and 3? If you know the answer please explain bc I have no idea :)

Answers

Answer:

 V₁ = 6 V ,  V₂ = V₃ = 3 V

Explanation:

To solve this circuit we must remember that there are two fundamental types of construction in series and parallel.

* a serial circuit there is only one path for current

in this circuit the constant current in the entire circuit and the voltage is the sum of the voltage of each term

* Parallel circuit in this there are two or more paths for the current

in this circuit the voltage is constant and the east is divided between each branch

with these principles let's analyze the proposed circuit

The DC battery is in parallel with resistor R1 and the equivalent of the other branch,

as in a parallel circuit the voltage is constant

               V₁ = 6 V

in the other branch (23) it forms a series construction, where the current is constant

               6 = iR₂ + iR₃

as they indicate that each resistance has the same value

              6 = 2 iR

              V = V₂ = V₃ = 3 V

Increase in Space Suit Pressure 0.0/3.0 points (graded) If the pressure in a space suit increases, how will each of the following be affected? Flexilibity will: Increase Decrease Stay the same unanswered The required pre-breathe time will: Increase Decrease Stay the same unanswered The mass of the suit will: Increase Decrease Stay the same

Answers

Answer:

Flexibility Increases

Pre-breathe time decreases

Mass of suit decreases.

Explanation:

Spacesuits are designed for space shuttles when a person goes to explore the galaxy. The spacesuits shuttle era are pressurized at 4.3 pounds per inch. The gas in the suit is 100% of oxygen and there is more oxygen to breathe when the altitude of 10,000 is reached. This will decrease the breathing time and mass of suit.

Is it vaccum at a height of 75,000 ft?

Answers

Answer:

No. A vacuum does not exist at an altitude of 75,000 ft

Explanation:

There is naturally a decrease in air pressure as one goes higher into the atmosphere. However, vacuum conditions are not actually present within the atmosphere as there are still significant amounts of gases even at really high altitudes.

To prove this we know that planes cannot fly in a vacuum, because they need to burn air in order to gain propulsion from their engines.

One military plane - the SR-71 flew at about 90,000 feet.

This is a lot higher than 75,000 feet. For it to be able to at that altitude, it means that there was a significant quantity of air left even at 90,000 feet.

What is difference between gravity and gravitational force

Answers

gravity means that is not a force but the gravitational force is a force

For example we call the earth has a gravitational force but on moon we say that it doesn't have gravity

Answer:

Gravity is the Earth’s pull on a body, lying on near the surface of the Earth.

Gravitational force is the force of attraction acting between any two bodies.

Complete all four parts. 15 points. Will give brainliest! Show work!

Answers

Answer:

A. 5.08 secs.

B. 10.16 secs.

C. 126.50 m.

D. 373.36 m

Explanation:

Data obtained from the question include the following:

Initial velocity (u) = 65 m/s

Angle of projection θ = 50°

A. Determination of the time taken to reach the peak.

Initial velocity (u) = 65 m/s

Angle of projection θ = 50°

Acceleration due to gravity (g) = 9.8 m/s²

Time (t) =.?

t = u•Sine θ/g

t = (65 × Sine 50) /9.8

t = 5.08 secs.

B. Determination of the total time spent by the ball in air.

Time (t) taken to reach the peak = 5.08 secs.

Total time (T) spent by the ball in air =?

T = 2t

T = 2 × 5.08

T = 10.16 secs

Therefore, the total time spent by the ball in air is 10.16 secs.

C. Determination of the maximum height.

Initial velocity (u) = 65 m/s

Angle of projection θ = 50°

Acceleration due to gravity (g) = 9.8 m/s²

Maximum height (H) =..?

H = u²•Sine² θ / 2g

H = 65² × (Sine 50)² / 2 × 9.8

H = 4225 × (Sine 50)² /19.6

H = 126.50 m

Therefore, the maximum height reached by the ball is 126.50 m.

D. Determination of the horizontal distance travelled by the ball.

Initial velocity (u) = 65 m/s

Angle of projection θ = 50°

Acceleration due to gravity (g) = 9.8 m/s²

Horizontal distance (R) =..?

R = u²•Sine 2θ / g

R = 65² × Sine (2×30) / 9.8

R = (4225 × Sine 60) / 9.8

R = 373.36 m

Therefore, the horizontal distance travelled by the ball is 373.36 m

Four identical point charges (+6.0 nC) are placed at the corners of a rectangle which measures 6.0 m×8.0 m. If the electric potential is taken to be zero at infinity, what is the potential at the geometric center of this rectangle

Answers

Substitute the values

The electric potential at the geometric center of this rectangle is determined as 43.2 V.

Potential at the center of the rectangle

Potential at the center of the rectangle is calculated as follows;

Let the distance from each corner to the center = xLet the length = aLet the breadth = b

Distance from each corner to the center is calculated as follows;

[tex]x = \sqrt{(a/2)^2 + (b/2)^2}[/tex]

Potential due to four point charges is calculated

[tex]V = \frac{kq}{x} \\\\V =4 (\frac{kq}{x} )\\\\V = 4(\frac{kq}{\sqrt{(a/2)^2 + (b/2)^2} } )\\\\V = \frac{4 \times 9\times 10^{9}\times 6\times 10^{-9}}{\sqrt{(6/2)^2 + (8/2)^2} } \\\\V = \frac{4 \times 9\times 10^{9}\times 6\times 10^{-9}}{5} \\\\V = 43.2 \ Volts[/tex]

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Energy of the fossil fuels is also derived from solar energy. Give reason.​

Answers

Answer:

Explanation:

All the energy in oil, gas, and coal originally came from the sun, captured through photosynthesis. In the same way that we burn wood to release energy that trees capture from the sun, we burn fossil fuels to release the energy that ancient plants captured from the sun

Suppose you are testing a new amusement park roller coaster with an empty car with a mass of 100 kg. One part of the track is a vertical loop with a radius of 12.0 m. At the bottom of the loop (point A), the car has a speed of 25.0 m/s and at the top of the loop (point B), it has a speed of 8.00 m/s. As the car rolls from point A to point B, how much work is done by friction? Use 9.81 m/s2 for the acceleration due to gravity.

Answers

Answer:

Explanation:

Gain  of kinetic energy + work done by friction = loss of potential energy

= 1 / 2 m ( 25² - 8² ) + work done by friction = m x 9.8 x ( 12 + 12 )

= .5 x 100 x ( 625 - 64 ) + work done by friction = 100 x 9.8 x 24

28050 + work done by friction = 23520

work done by friction = -4530 J

Question 1 of 10
What is a neutron
A. A particle inside the nucleus that has no charge
B. A positive particle inside the nucleus
O C. A negative particle outside the nucleus
O D. A negative particle inside the nucleus​

Answers

Answer:

The neutron is a subatomic particle, symbol 

n

 or 

n0

, with no electric charge and a mass slightly greater than that of a proton. Protons and neutrons constitute the nuclei of atoms. Since protons and neutrons behave similarly within the nucleus, and each has a mass of approximately one atomic mass unit, they are both referred to as nucleons.[6] Their properties and interactions are described by nuclear physics.

Explanation:

pls mark me as BRAINLIEST

Confirm if this is correct or not. If it isn't correct, please correct it.

Answers

Answer:

d = 421.83 m

Explanation:

It is given that,

Height, h = 396.9 m

Horizontal speed, v = 46.87 m/s

We need to find the distance traveled by the ball horizontally. Let t is the time taken by the ball. Using second equation of motion for vertical direction. So,

[tex]396.9=0\times t+\dfrac{1}{2}\times 9.8 t^2\\\\t=9\ s[/tex]

Now d is the distance covered by the cannonball. So,

[tex]d=vt\\\\d=46.87\times 9\\\\d=421.83\ m[/tex]

Hence, this is the required solution.

To pull a box up a rough slope,the force required will be least when it is applied :
a) horizontaly
b) vertically
c) perpendicular to the plane
d) parallel to the plane

Answers

Answer:

The correct option is;

d) Parallel to the plane

Explanation:

The forces acting on the box of mass, m are;

Weight of the box acting an angle, θ, equal to the inclination of the plane to the perpendicular of the plane

Weight of the box acting along the plane = m×g×sin(θ)

The force of friction along the plane = μ×m×g×cos(θ)

The total force acting downward along the plane [tex]F_{down}[/tex], = m×g×sin(θ) + μ×m×g×cos(θ)

The Force needed to pull the box up along the plane F = The total force acting downward along the plane

F = m×g×sin(θ) + μ×m×g×cos(θ) = m×g×(sin(θ) + μ×cos(θ))

When the force, Fₐ is applied vertically, the force acting along the plane = Fₐ×cos(θ)

When the force is applied perpendicular, the force acting along the plane = Fₐ×sin(θ)

When the force is applied horizontally, the force acting along the plane = Fₐ×cos(θ)

When the force is applied parallel to the plane, the force acting along the plane = Fₐ

Therefore, since Fₐ > Fₐ×cos(θ) and Fₐ > Fₐ×sin(θ), for acute angles, we have that the least force is required when the force is acting parallel to the plane.

Which of the following is a TRUE
statement about states of matter?
A. Most matter on Earth exists as a solid, liquid, or gas.
B. Plasma, the fourth state of matter, is abundant on Earth.
C. Matter never changes from a solid to a liquid or a gas.
D. Most matter in the universe is liquid.

Answers

The statement that is the most true regarding the states of matter is the first statement.

A. Most matter on Earth exists as a solid, liquid, or gas.

This is correct since most of the matter on Earth exists in those 3 states, meanwhile plasma is not a state that most of matter on earth is found in since it is mostly associated to stars and the external galactic regions.

Therefore, B is incorrect.

C is false, since almost of all of the matter on earth can transform and change through each of the 3 states of matter, solid, liquid, and gas.

D is false since most of the matter in universe is actually made out of plasma instead of a liquid. In fact, over 99% of the known universe's matter is said to consist of plasma.

Matter can be defined as the material substance which constitutes the observable nature. Most matter on Earth exists as a solid, liquid, or gas. Plasma is also the state of matter found in daily life. The correct option is A.

What are states of matter?

All the materials which we see in our daily lives are made up of matter. Matter can be classified into different states such as solid, liquid and gas based on the intermolecular forces and the arrangement of particles. All the three states of matter can be converted from one form to another.

The molecules of solid are tightly packed and they have strong intermolecular forces which also has a definite shape and volume. The liquids have weak intermolecular forces than the solids and it acquire the shape of the vessel.

The intermolecular forces in gases are negligible and they do not have any fixed shape or volume.

Thus the correct option is A.

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The length, breadth and height of a box is 2m, 3m and 1m respectively. What is its volume?

Answers

Answer:

6m^3

Explanation:

volume of box= length×breadth×height

= 2×3×1

=6m^3

Answer:

i n k ok

Explanation:

Two kilograms of nitrogen (N2) at 25°C is contained in a 0.62 m3 rigid tank. This tank is connected by a valve to a 0.16 m3 rigid tank containing 0.8 kg of oxygen (O2) at 127°C. The valve is opened, and the gases are allowed to mix, achieving an equilibrium state at 87°C.
initial pressures of N2 is 5.7293 bar and O2 is 5.2 bar.
the final pressure is 6.44 bar.
the magnitude of the heat transfer for the process is 162.8 kJ, and the direction of energy flow is going in.
What is the entropy change for the mixing process, in kJ/K?

Answers

Answer:

Explanation:

For entropy change the formula is

ΔS = ΔQ / T

ΔQ = Δ H

ΔS = Δ H / T

Given

Δ H = + 162.8 kJ

We can take equilibrium temperature as average temperature of the whole process

So, T = 273 + 87 = 360 K

ΔS = Δ H / T

=  162.8 kJ  / 360

= +  0.508 kJ / K .

When the magnitude of the heat transfer for the process is 162.8 kJ, Then the entropy change for the mixing process, in kJ/K is = + 0.508 kJ / K

What is Entropy change?

For The entropy change, the formula is

Then ΔS = ΔQ / T

After that ΔQ = Δ H

Then ΔS = Δ H / T

Given as per question are:

Then Δ H = + 162.8 kJ

Now We can take equilibrium temperature as average temperature of the whole process are:

So, T is = 273 + 87 = 360 K

Then ΔS = Δ H / T

After that = 162.8 kJ / 360

Therefore, = + 0.508 kJ / K.

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Suppose a current-carrying wire has a cross-sectional area that gradually becomes smaller along the wire, so that the wire has the shape of a very long,truncated cone. How does the drift speed vary along the wire?

Answers

Answer:

It slows down as the cross-section becomes smaller is the correct answer to this question.

Explanation:

That current is the same in all parts of the wire under steady-state conditions.Thus the velocity of drift is approximately equal to the cross‐sectional region.vd = I /nAq . As the cross-section gets smaller it accelerates.

A man wishes to lift a stone weighing 1440 N, using a first-class lever that measures 5 meters. What force should it perform if the fulcrum is 150 cm from the stone. *

Answers

Answer:

3360 N

Explanation:

In a first-class lever, the effort force and load force are on opposite sides of the fulcrum.

The lever is 5 m long.  The load force is 1.50 m from the fulcrum, so the effort force must be 3.50 m from the fulcrum.

The torques are equal:

Fr = Fr

(1440 N) (3.5 m) = F (1.5 m)

F = 3360 N

define motion also justify that rest and motion are related terms​

Answers

Answer;

Motion: A body is said to be in motion if it changes its position with respect to its surroundings.

Explanation:

Rest and motion are the relative terms because they depend on the observer's frame of reference. So if two different observers are not at rest with respect to each other, then they too get different results when they observe the motion or rest of a body .

one example for each. Rest: If a body does not change its position with respect to its surroundings, the body is said to be at rest. ... Motion: A body is said to be in motion if it changes its position with respect to its surroundings.

Other Questions
please help me with this Use what you know about Odysseus and how he has changed over the course of his journey to explain how the theme true strength is knowing when not to act is shown in the story A customs inspector was suspecting that some of the 12 plastic spheres, which were shipped out of the country, had something in them. Each sphere weighted the same and had hard walls everywhere. Inspector thought that it was possible to hide something inside each sphere. He was correct, and was able to use a simple experiment in determining which sphere had diamonds inside. How did he do it? Write the full forms of the following:a. GIGOb. MHzc. BBSd. CBTe. KBf. ICUg. CAIh. WBTi. IPMj. CASk. ICTl. ATM Match each economic scenario with the correct economic term. 1. A country can produce more units of good B without reducing the units of good A it produces. 2. A country cannot produce more units of good A without producing fewer units of good B 3. A country wants to produce 10 units of good A and 12 units of good B but can produce only 5 units of good A and 4 units of good B. a. efficiency b. under utilization c. unattainability When Hernan Cortes arrived in Mexico, the ____ held the largest and most powerful empire in the Americas. Because the Spanish had horses, some Aztecs thought Cortes might be a god. The Aztec king,____ , invited Cortes to enter his capital city of Tenochtitlan. After a short time, Cortes turned against the emperor and ____ . Will give BRAINLIEST to best answer One way to explore a career opportunity is to work as a trainee in your field of interest to gain practical experience. In this experience you would be known as a(n). A intern B. mentor C. tutor D. volunteer a.The rulers over the Neolithic people in China were theXi.c. Shang.b. Xia.d. ChangPlease select the best answer from the choices providedABD Anita plans to cover a solid cone with construction paper for a science project. The cone has a diameter of 11 inches and a slant height of 28.5 inches. How many square inches of paper will she need to cover the entire cone? (Use 3.14 for Pi and round to the nearest hundredth. Recall the formula S A = pi r l + pi r squared.) 492.20 in.2 587.18 in.2 982.82 in.2 984..39 in.2 The following accounts are from last years books at Sharp Manufacturing: Raw Materials Bal0(b)154,000 (a)164,000 10,000 Work In Process Bal0(f)510,000 (b)132,000 (c)168,000 (e)210,000 0 Finished Goods Bal0(g)460,000 (f)510,000 50,000 Manufacturing Overhead (b)22,000(e)210,000 (c)26,000 (d)156,000 6,000 Cost of Goods Sold (g)460,000 Sharp uses job-order costing and applies manufacturing overhead to jobs based on direct labor costs. What is the amount of cost of goods manufactured for the year? Nancy finally found a house of her dreams and the price looks great. She was told that she needs to hire a home appraiser and a home inspector and pay for both. Spending additional money on top of other fees and an anticipated down payment and monthly payments is making her very upset. She feels that hiring both is a waste of her money and time. What advice can you give to Nancy? (about 5-6 sentences) A trip 50 miles out of town takes 45 minutes. If the same persondrives another 120 miles at the same rate how many hours will ittake? Consider the complex character Tajima Shume in Tajima. How do Tajimas actions and interactions advance the plot and develop a theme in the story? In your response, describe a theme of the story and explain how the author uses characterization to develop the theme and advance the plot. Use evidence from the text to support your response. Your response should be at least three complete paragraphs. How does management use coded data for decision supportDiscuss how medical staff an departments use coded data and give example a. How does management use coded data for decision support and management decisions? What was Genghis Khan's policy about other religions in the Mongol Empire?O He required other religions to view him as a god.O He allowed followers of other religions to worship freely.O He adopted the religion of conquered peoples as his own.O He forced everyone throughout the empire to accept Mongol religion. What prompted the government to make these changes?A low standard of living prompted the government to make these changes In the school election, votes were cast for Sam, Mary, and Bill in the ratio 4:3:2. If a total of 2178 votes were cast, how many votes did Mary receive? Sunland Mining Company purchased land on February 1, 2020, at a cost of $975,900. It estimated that a total of 57,600 tons of mineral was available for mining. After it has removed all the natural resources, the company will be required to restore the property to its previous state because of strict environmental protection laws. It estimates the fair value of this restoration obligation at $110,700. It believes it will be able to sell the property afterwards for $123,000. It incurred developmental costs of $246,000 before it was able to do any mining. In 2020, resources removed totaled 28,800 tons. The company sold 21,120 tons. Which statement best defines a theme in a short story?.A theme is the central message, moral, or lesson conveyed using characters,'setting, and plot.OB.A theme is the topic of a story, which the author develops through a particular tone and mood.O C.A theme helps build tension between the characters in a story.ODA theme is the use of an object to represent a larger idea.OE.A theme helps reveal the order in which events occur in a story. Sketch the graph of y = (x - 3)2 - 16, then select the graph that correspondsto your sketch.10-2020-55. 101020A. Graph AB. Graph BC. Graph C D. Graph D