Weight refers to the pull of _________ on an object.

Question 2 options:

mass


gravity


volume

Answers

Answer 1

Answer: Weight refers to the force of gravity acting upon an object.

(Answer B)

Answer 2
the answer is b gravity

Related Questions

In hiking, what fitness component is required of you

Answers

It’s strength, endurance and flexibility. Hope this helps

What happens to the mechanical advantage of a machine if the output force is less than the input force? What must happen to output distance? Give an example of a machine that does this?

Answers

a machine that put in force is a Mechanical

Analyze the data to identify the mathematical relationship between the
amplitude and energy of a mechanical wave. If mechanical wave A has an
amplitude of 4 cm and mechanical wave B has an amplitude of 5 cm, what
will be the relationship between the energy carried by the two waves?
Amplitude
Energy
A. Wave A has about 1.25 times more energy than wave B.
ОО
B. Wave A has about 1.6 times more energy twan wave B.
C. Wave B has about 1.6 times more energy than wave A.
O D. Wave A has about 1.15 times more energy than wave B.

Analyze the data to identify the mathematical relationship between theamplitude and energy of a mechanical

Answers

Answer:

Its C

Explanation:

Because I got it wrong for you

Wave B has about 1.6 times more energy than wave A.

What is energy?

Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.

The amplitude and energy of a mechanical wave. If mechanical wave A has an amplitude of 4 cm and mechanical wave B has an amplitude of 5 cm wave B has about 1.6 times more energy than wave A.

Wave B has about 1.6 times more energy than wave A.

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Why would the kinetic energy at the bottom of the track be less than the potential energy at the top of the track?

Answers

Answer:

This is because of friction and heat lost.

Explanation:

Two uncharged spheres are separated by 2.60 m. If 1.90 x 1012 electrons are removed from one sphere and placed on the other determine the magnitude of the Coulomb force (im N) an one of the spheres, treating the spheres as point charges. ​

Answers

The magnitude of the Coulomb force between the spheres, when 1.90 x \(10^{12\) electrons are transferred, is 2.34 x \(10^{-4\) Newtons.

To determine the magnitude of the Coulomb force between two uncharged spheres.

Given that 1.90 x \(10^{12\) electrons are removed from one sphere and placed on the other, we need to calculate the charge on each sphere. The charge on a single electron is -1.6 x \(10^{-19\) coulombs, so the charge transferred from one sphere to the other is:

Q = (1.90 x \(10^{12\)) × (-1.6 x \(10^{-19\)) = -3.04 x \(10^{-7\) coulombs

Since one sphere loses electrons and becomes positively charged, while the other gains electrons and becomes negatively charged, the magnitude of the charge on each sphere is:

|Q| = 3.04 x \(10^{-7\)  coulombs

Now, we can calculate the magnitude of the Coulomb force using Coulomb's law:

F = k * (|Q1| * |Q2|) / \(r^2\)

where k is the electrostatic constant (k = 8.99 x \(10^{9}\) N \(m^{2}\)/\(C^{2}\)) and r is the distance between the centers of the spheres (r = 2.60 m).

Plugging in the values, we get:

F = (8.99 x \(10^{9}\) N \(m^{2}\)/\(C^{2}\)) * (3.04 x \(10^{-7\)C)² / \((2.60 m)^2\)

Simplifying this expression, we find:

F ≈ 2.34 x \(10^{-4\) N

Therefore, the magnitude of the Coulomb force between the spheres, when 1.90 x \(10^{12\) electrons are transferred, is approximately 2.34 x \(10^{-4\) Newtons.

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A virtual image is:

Answer choices:

1: from which light days diverge but do not pass through.

2: from which light rays diverge as they pass through.

3: toward which light rays converge and pass through.

4: toward which light rays converge but do not pass through.

Answers

Answer:

4: toward which light rays converge but do not pass through

Explanation:

Matter is anything that takes up space and has mass. O A. True O B. False​

Answers

Answer:True

Explanation:Matter is everything around you. Atoms and compounds are all made of very small parts of matter. Those atoms go on to build the things you see and touch every day. Matter is defined as anything that has mass and takes up space (it has volume).

3. A desk with a mass of 67.4 kg rests on a floor where the coefficient of static friction between the surfaces is 0.45. How much force would be required to get the desk to start sliding?

Answers

To get the desk to start sliding, you would need to apply a force to it that is greater than the static friction force between the desk and the floor. The static friction force has a magnitude of Fs = mu * N, where mu is the coefficient of static friction between the surfaces and N is the normal force acting on the desk.

The normal force is equal to the weight of the desk, which is the force of gravity acting on the desk. The weight of the desk is W = mg, where m is the mass of the desk and g is the acceleration due to gravity. The weight of the desk is therefore W = 67.4 kg * 9.8 m/s^2 = 661.32 N.

Substituting these values into the equation for the static friction force gives:

Fs = mu * N = 0.45 * 661.32 N = 297.59 N

So the force required to get the desk to start sliding is approximately 297.59 N.

When a star explodes as a supernova, the expanding gas can pass through the interstellar medium triggering...
A.) an increase in variable star activity
B.) formation of new stars
C.) life to develop
D.) additional supernovas

Answers

B. Formation of new stars

PIUDICITIS CONSECulvely and Circle your aliswers. Lilyo
proper significant digits.
53. When you turn on your CD player, the turntable accelerates from zero to 41.8 rad/s in
3.0 s. What is the angular acceleration?
or​

Answers

Answer:

The angular acceleration of CD player is \(13.93\ rad/s^2\).

Explanation:

Initial angular speed of a CD player is 0 and final angular speed is 41.8 rad/s. Time to change the angular speed is 3 s.

It is required to find the angular acceleration. The change in angular speed of the CD player divided by time taken is called its angular acceleration. It can be given by :

\(a=\dfrac{\omega_f-\omega_i}{t}\\\\a=\dfrac{41.8-0}{3}\\\\a=13.94\ rad/s^2\)

So, the angular acceleration of CD player is \(13.93\ rad/s^2\).

is electricity matter

Answers

Answer:

Yes it is

Explanation:

Electricity is the positive and negative matter that's found in protons and electrons.

Answer:

yes

Explanation:

because electricity is a positive and negative proton

Group B[1] 12 State Huygens's Principle [2] b) In a Young's double slit experiment, the fringe width obtained is 0.6 cm. When light of wave length 4500 Aº is used if the distance between the screen and the slit is reduced in half, what should be the wavelength of light used to obtain fingers 0.0045 m wide? [3]​

Answers

The wavelength of light that should be used to obtain fringes that are 0.0045 m wide after reducing the distance between the screen and the slit by half is 2.25 * 10^7 Å.

Huygens's Principle states that every point on a wavefront can be considered as a source of secondary spherical wavelets that spread out in all directions with the same speed as the original wave. The new wavefront is formed by the envelope of these secondary wavelets at a later time.

Now, let's consider a Young's double-slit experiment. In this experiment, when light passes through two narrow slits, it creates an interference pattern on a screen behind the slits. The fringe width is the distance between two consecutive bright or dark fringes in the pattern.

Given that the fringe width obtained is 0.6 cm and the wavelength of light used is 4500 Å (Angstroms), we can calculate the wavelength of light required to obtain fringes that are 0.0045 m wide.

We can use the formula for fringe width in Young's double-slit experiment:

w = (λ * D) / d

Where:

w is the fringe width,

λ is the wavelength of light,

D is the distance between the screen and the double slits, and

d is the distance between the two slits.

Let's calculate the value of D/d using the given information:

D/d = w / λ

= 0.006 m / 4500 Å (1 m = 10^10 Å)

= 0.006 * 10^10 / 4500 m^-1

Now, if the distance between the screen and the slit is reduced by half, the new value of D/d would be:

(D'/d) = (0.006/2) * 10^10 / 4500 m^-1

Now, we can rearrange the equation to solve for the new wavelength (λ'):

(λ' * D') / d = (D/d)

λ' = (D/d) * d / D

= [(0.006/2) * 10^10 / 4500] * (4500 / 0.006) Å

= 0.0045 m * 10^10 / 2 Å

= \(0.00225 * 10^{10\) Å

=\(2.25 * 10^7\)Å

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A rigid body is rotating with constant angular speed 3 radians per second about a fixed axis through the points A. (4, 1, 1), B. (2, -1; 0), distances being measured in centimeters. The rotation is in the left-handed sense relative to the direction AB
1, Determine the unit vector pointing in the direction BA.
2, What is the angular velocity () of the of the body?
3, Write the position vector of point P: P .
Find the instantaneous velocity of particle P [hint v = w×r)
4, What is meant by left-handed rotation (left-handed coordinate system)?
5, Write the position vectors of points A and B The rotation axis AB has direction BA. Write the direction BA in terms of the components given above. ​

Answers

1.Unit vector in the direction BA: BA/|BA| = (2/3, 2/3, 1/3)

2.The angular velocity (ω) of the body is given as 3 radians per second.

3.Without the position of point P given, it is not possible to write the position vector of P.

4.Left-handed rotation refers to the direction of rotation where the rotation follows the left-hand rule.

5.Position vector of point A: (4, 1, 1)

Position vector of point B: (2, -1, 0)

The direction vector BA = (-2, -2, -1)

1.To determine the unit vector pointing in the direction BA, we subtract the coordinates of point B from the coordinates of point A and normalize the resulting vector.

The direction vector BA is given by:

BA = (4 - 2, 1 - (-1), 1 - 0) = (2, 2, 1)

To obtain the unit vector in the direction of BA, we divide the direction vector by its magnitude:

|BA| = √(2^2 + 2^2 + 1^2) = √(4 + 4 + 1) = √9 = 3

Unit vector in the direction BA: BA/|BA| = (2/3, 2/3, 1/3)

2.The angular velocity (ω) of the body is given as 3 radians per second.

3.Without the position of point P given, it is not possible to write the position vector of P. Please provide the position of point P to proceed with the calculation.

4.Left-handed rotation refers to the direction of rotation where the rotation follows the left-hand rule. In a left-handed coordinate system, if you curl the fingers of your left hand in the direction of rotation, your thumb will point in the direction of the rotation axis. It is the opposite direction to a right-handed rotation.

5.The position vectors of points A and B are:

Position vector of point A: (4, 1, 1)

Position vector of point B: (2, -1, 0)

The direction vector BA can be obtained by subtracting the coordinates of point A from the coordinates of point B:

BA = (2 - 4, -1 - 1, 0 - 1) = (-2, -2, -1)

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Select the correct answer from each drop-down menu. Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. Complete the passage summarizing the collision. On colliding, the truck applies a force on the stationary car, and the stationary car applies and opposite force on the truck. The front of the truck is designed to crumple in order to , which protects the well-being of the passengers.

Answers

On colliding, the truck applies a force on the stationary car, and the stationary car applies an opposite force on the truck. The front of the truck is designed to crumple in order to absorb the impact of the collision, which protects the well-being of the passengers.

A figure skater glides along a circular path of radius 3.93 m. (a) If she coasts around one half of the circle, find the magnitude of the displacement vector. (b) If she coasts around one half of the circle, find what distance she skated. (c) What is the magnitude of the displacement if she skates all the way around the circle?

Answers

The magnitude of the displacement vector refers to the length or amount of the displacement vector. Displacement is the change in position of an object. Displacement is a vector quantity, which means it has both magnitude and direction. In this question, a figure skater is gliding along a circular path of radius 3.93 m.

If she coasts around one half of the circle, we have to find the magnitude of the displacement vector. The figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, then her final and initial position is on the same point. Therefore, the magnitude of the displacement vector is zero. Distance Skated Distance refers to the length covered by an object or an individual. In this question, the figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, we have to find what distance she skated. The distance covered by an object or individual is determined by the formula:Distance = Circumference/2Given that the radius of the circle is 3.93 m, then:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 m.Therefore, the distance covered by the figure skater around half of the circle = 24.7 m/2 = 12.35 m. Therefore, she skated 12.35 m.Magnitude of DisplacementIf the figure skater skates all the way around the circle, then she covers the entire circumference of the circle. Therefore, the magnitude of the displacement vector is the same as the circumference of the circle, which is given as:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 mTherefore, the magnitude of the displacement vector when the figure skater skates all the way around the circle is 24.7 m.

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Ancient peoples both feared and revered Solar and Lunar Eclipses as they happened so rarely. Explain the following about eclipses:

1. Why are SOLAR eclipses more rare then lunar eclipses.

2. Explain what must occur for a SOLAR eclipse to occur.

3. Explain what must occur for a LUNAR eclipse to occur.

Answers

Answer:

Lunar and solar eclipses occur with about equal frequency. Lunar eclipses are more widely visible because Earth casts a much larger shadow on the Moon during a lunar eclipse than the Moon casts on Earth during a solar eclipse. As a result, you are more likely to see a lunar eclipse than a solar eclipse.

For a total eclipse to take place, the sun, moon and Earth must be in a direct line. The second type of solar eclipse is a partial solar eclipse. This happens when the sun, moon and Earth are not exactly lined up. The sun appears to have a dark shadow on only a small part of its surface.

For a lunar eclipse to occur, the Sun, Earth, and Moon must be roughly aligned in a line

define ohms laws and prism​

Answers

Ohm's Law is one of the most fundamental and important laws governing electrical and electronic circuits.

Answer:

the ohms law says

Explanation:

ohm found that current, voltage, and resistance in a circuit are always related in the same day.

ohms obersivations

ohms found that if the factors that affect resistance are held constant, the resistance of most conductors does not depend on the voltage across them charging the voltage in a circuit changes the current but does not change the resistance regardless of the applied voltage. the ohms law resistance in a circuit is equal to voltage divided by current

resistance =current or voltage =current × resistance

I don't know what I'm doing wrong I just can't seem to get the answers right. Help please.

I don't know what I'm doing wrong I just can't seem to get the answers right. Help please.

Answers

The current and potential difference in the lumped element model of electrical circuits are dealt with by Kirchhoff's circuit laws, which are two equalities. German scientist Gustav Kirchhoff published the first account of them in 1845. This was done before James Clerk Maxwell and generalized Georg Ohm's work.

Because the sum of the currents entering and leaving the junction is equal, Kirchhoff's first law is based on the conservation of charge. The algebraic sum of potential drops in a closed circuit must equal zero, according to Kirchhoff's second law. Therefore, it is based on energy conservation.

A stream of charged particles—such as electrons or ions—moving through a conductor for electricity or into empty space is known as an electric current. It is determined by measuring the net rate of electric charge flow through a surface or into a control volume.

The amount of resistance in an electrical circuit represents the resistance to current flow. The Greek letter omega (Ω), which stands for resistance, represents ohms.

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For a truck moving at constant speed...

1. the distances traveled during each time period are the same. 2. the direction traveled during each time period must be the same.

3. the truck must accelerate.
4. all of these.

Answers

Answer:

1.) the distances travelled during each time period are the same

Explanation:

1.) is correct. If the speed is constant, the truck is moving the same distance per every time period. For example, if the truck is moving at 50 miles/hour, the truck will always travel 50 miles per every 1 hour.

2.) is incorrect. Unlike the velocity, speed is non-directional. This means a truck can maintain a constant speed regardless of its orientation.

3.) is incorrect. Acceleration is the rate at which the velocity/speed changes. If the speed is constant, the acceleration is 0.

4.) is incorrect.

Which of the following can be studied by science?
O A. Value judgments
O B. Matters of opinion
O C. Questions of right and wrong
O D. Natural phenomena.

Answers

D. Natural phenomena

You plan to take your hair blower to Europe, where the electrical outlets put out 240 V instead of the 120 V seen in the United States. The blower puts out 1700 W at 120 V.Required:a. What could you do to operate your blower via the 240V line in Europe? which one is it?b. What current will your blower draw from a European outlet?c. What resistance will your blower appear to have when operated at 240 ?

Answers

Answer:

a) Connect a series resistance of 8,47 ohms

b)14,16 [A]

c) r = 10,96 ohms

Explanation:

My blower requires 120 (v) then, I have to connect a series resistor to make the nominal 240 (v) of the European voltage outlet drop to 120 (V) but at the same time keep the level of current to operate my blower

In America

P = V*I

1700 (w) = 120*I

I = 1700/120 [A]

I = 14,16 [A]        current needed for the blower

In Europe

120 (v)  (the drop of voltage I need) when a current of 14,16 passes through to series  resistor is

V = I*R          120 = 14,16* R         R = 8,47 ohms

c) P = I*r²

1700 (w) = 14,16 (A) * r²

r² = 120,06

r = 10,96 ohms

Recall specific heat of water is 4186 j/kg/C. Find the specific heat of sample.
Water. Sample
Mass 109 192
Internal temperature. 21. 67
Final temperature. 30.1. 30.1

Answers

Answer:

Shown by explanation;

Explanation:

The heat of the sample = mass ×specific heat capacity of the sample × temperature change(∆T)

Assumption;I assume the mass of the samples are : 109g and 192g

∆T= 30.1-21=8.9°c.

The heat of the samples are for 109g are:

0.109 × 4186 × 8.9 =4060.84J

For 0.192g are;

∆T= 67-30.1-=36.9°c

0.192 × 4186×36.9=29656.97J

A swimmer runs horizontally off a diving board with a speed of 3.04 m/s and hits the water a horizontal distance of 1.68 m from the end of the board.

Answers

With a horizontal velocity of 3.04 m/s and a horizontal displacement of 1.68 m from the end of the diving board, the swimmer enters the water 1.70 metres below the diving board.

What is velocity, for instance?

The rate at which something moves in a certain direction is referred to as its velocity. as quickly as a car travelling north on a highway or a rocket taking flight.

We can use the kinematic equations of motion to solve this issue.

Use the swimmer's horizontal travel distance as the displacement in the x-direction. Given that the swimmer enters the water 1.68 metres from the board's end, the following is the answer:

x=1.68 m and v0x=3.04 m/s

Δx = v0x * t

calculating t:

t = 1.68 m / 3.04 m/s because x / v0x.

t = 0.5526 s

Thus, the swimmer enters the water in 0.5526 seconds.

"y" equals "v0y*t" plus "(1/2)*a*t2"

replacing the values with:

Δy = 0 + (1/2) * (-9.81 m/s²) * (0.5526 s)²

Δy = -1.70 m

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A cannon sends a projectile towards a target a distance 1270 m away. The initial velocity makes an angle 26◦ with the horizontal. The target is hit. The acceleration of gravity is 9.8 m/s^2. How high is the highest point of the trajectory?
(Note the magnitude of the initial velocity is 125.6749804)

Answers

The maximum height achieved by the projectile shot at an angle of 26° with the horizontal is 155.79 meters.

What is Projectile Motion?

Projectile motion is a form of motion experienced by an object or particle that is projected near earth's surface and moves along a curved path under the action of gravity only.

Given is a projectile projected towards a target a distance 1270 m away. Initial velocity of the projectile is 125.6 m/s and makes an angle 26° with the horizontal.

The vertical component of the initial velocity →

u[y] = 125.6 sin(26°) = 125.6 x 0.44 = 55.26 m/s.

The horizontal component of the initial velocity →

u[x] = 125.6 cos(26°) = 125.6 x 0.89 = 111.78 m/s

Horizontal distance covered →

h[x] = 1270 m

Time taken to travel the horizontal range →

t = h[x] / u[x]

t = 1270 / 111.78 = 11.36 seconds

The time at which the height is maximum →

t [max] = 11.36/2 = 5.68 s

Using Newton's second law of motion for vertical direction -

S[y] = u[y] t + 1/2 a[y] t²

At t = t [max], the vertical height will be maximum -

S[y] (max) = 55.26 x 5.68 - 1/2 x 9.8 x 5.68 x 5.8 =

S[y] (max) = 313.87 - 158.08

S[y] (max) = 155.79 meters.

Hence, the maximum height achieved by the projectile shot at an angle of 26° with the horizontal is 155.79 meters.

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I need 6 things to save energy or increase energy efficiency in any part of a house

Answers

Here are six things that can help save energy or increase energy efficiency in any part of a house:

Install energy-efficient light bulbs: Replace traditional incandescent light bulbs with energy-efficient LED light bulbs. LED bulbs consume less electricity and last much longer.

Use a programmable thermostat: Installing a programmable thermostat can help you control the temperature of your home more efficiently. You can set it to automatically lower the temperature when you're away from home or sleeping.

Air leaks should be sealed with weatherstripping or caulk around windows and doors. By doing so, you can keep your house more pleasant and prevent draughts.

Install ceiling fans: Ceiling fans can help circulate air and keep your home cool in the summer and warm in the winter. They use less energy than air conditioners or heaters.

Upgrade to energy-efficient appliances: When it's time to replace appliances, choose ones with an Energy Star label. These appliances are designed to use less energy and can help you save money on your energy bills.

Use power strips: Plug electronics and appliances into power strips, which can be turned off when not in use. This can prevent phantom energy use, which occurs when electronics and appliances continue to draw power even when turned off.

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1) 1000 kg car takes travels on a circular track having radius 100 m with speed 10 m/s. What is the magnitude of the centripetal force acting on the car? *

1 point

1 N

100 N

1000 N

10000 N


2) 1000 kg car takes travels on a circular track having radius 100 m with speed 10 m/s. What is the magnitude of the acceleration of the car? *

1 point

0.1 m/s^2

1 m/s^2

10 m/s^2

100 m/s^2

Answers

Answer:

(1) 1000 N (2) 1 m/s²

Explanation:

(1) Given that,

The mass of a car, m = 1000 kg

Radius of a circular track, r = 100 m

Speed of the car, v = 10 m/s

We need to find the magnitude of the centripetal force acting on the car. The magnitude of the centripetal force is given by :

\(F=\dfrac{mv^2}{r}\\\\F=\dfrac{1000\times (10)^2}{100}\\\\F=1000\ N\)

So, the correct option is (c) i.e. 1000 N

(2).The mass of a car, m = 1000 kg

Radius of a circular track, r = 100 m

Speed of the car, v = 10 m/s

We need to find the magnitude of the centripetal acceleration of the car. The magnitude of the centripetal acceleration is given by :

\(a=\dfrac{v^2}{r}\\\\a=\dfrac{(10)^2}{100}\\\\a=1\ m/s^2\)

So, the correct option is (b) i.e. \(1\ m/s^2\)

Astronomers have observed that the light coming from distance galaxies appears redder than the light coming from nearer galaxies. With the help of the visible spectrum (blue color has the shorter wavelength, and red color has the longest wavelength), explain why astronomers conclude that distant galaxies are moving away from the Earth?

Answers

Astronomers conclude that distant galaxies are moving away from the Earth based on the observation of redshift in their light. The redshift is a result of the Doppler effect caused by the stretching of light waves due to the expansion of the universe. This redshift provides evidence for the ongoing expansion and supports the concept of an expanding universe.

Astronomers have observed a phenomenon known as redshift, where the light from distant galaxies appears redder than the light from nearer galaxies. This redshift is a crucial piece of evidence that supports the conclusion that distant galaxies are moving away from the Earth. To understand this, we need to consider the concept of the Doppler effect and the nature of light.

The Doppler effect describes how the perceived frequency of a wave changes when the source of the wave is moving relative to the observer. For light waves, this effect manifests as a shift in the wavelength of the light. When an object emitting light is moving away from an observer, the wavelength of the light is stretched, causing it to shift towards the red end of the spectrum.

In the case of distant galaxies, astronomers observe a significant redshift in the light they receive. This redshift indicates that the galaxies' light is being stretched to longer wavelengths. Based on the Doppler effect, this implies that the galaxies are moving away from us.

The reason behind this phenomenon is the expansion of the universe. The universe is not static but rather undergoing a continuous expansion, causing galaxies to move away from each other. As a galaxy moves away from the Earth, the light it emits becomes stretched due to the expanding space between us. This stretching of the light waves causes an observable redshift.

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in coming to a stop, an old truck leaves skid marks 45 m long on the highway. assuming a deceleration of 6m/s2 , estimate the speed of the truck just before braking.

Answers

The speed of the truck just before braking is 23.24 m/s.

What is the speed of the clock before braking?

The speed of the truck before braking is calculated by applying the third kinematic equation as shown below.

v² = u² - 2as

where;

v is the final velocity of the truck when it stopsa is the acceleration of the trucks is the distance travelled by the truck

When the truck stops, the final velocity = 0

0 = u² - 2as

u²  = 2as

u = √2as

u = √ ( 2 x 6 x 45 )

u = 23.24 m/s

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Find the velocity ratio of a screw jack with pitch 0.3cm and length 6cm.

Answers

Given data:

Length;

\(L=6\text{ cm}\)

Pitch;

\(p=0.3\text{ cm}\)

The velocity ratio is given as,

\(VR=\frac{2\pi L}{p}\)

Substituting all known values,

\(\begin{gathered} VR=\frac{2\pi\times(6\text{ cm})}{(0.3\text{ cm})} \\ =40\pi \\ =40\times\frac{22}{7} \\ \approx125.71 \end{gathered}\)

Therefore, the velocity ratio of a screw jack is 40π or 125.71.

A charge of −0.0004 C is a distance of 3 meters from a charge of 0.0003 C. What is the magnitude of the force between them?

Answers

The magnitude of the force is 3.6 x 10^-6 N, rounded to two significant figures.

The magnitude of the force between two point charges can be calculated using Coulomb's law:

F = k * (q1 * q2) /\(r^2\)

where F is the magnitude of the force in Newtons (N), k is Coulomb's constant (9 x 10^9 N*m^2/C^2), q1 and q2 are the magnitudes of the charges in Coulombs (C), and r is the distance between the charges in meters (m).

Plugging in the given values, we get:

F =\((9 * 10^{9} N*m^{2}/C^2) * (-0.0004\ C) * (0.0003 C) / (3 m)^{2}\)

Simplifying the expression, we get:

F = \(-3.6 * 10^{-6} N\)

Note that the negative sign in the result indicates that the force is attractive. The magnitude of the force is \(3.6 * 10^{-6} N\), rounded to two significant figures.

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