a single electron orbits a lithium nucleus that contains three protons ( 3e). the radius of the orbit is 1.76 10-11 m. determine the kinetic energy of the electron.

Answers

Answer 1

The kinetic energy of the electron orbits a lithium nucleus that contains three protons ( 3e) whose radius of the orbit is 1.76x10-11 m is 123eV.

Given the lithium nucleus contains 3 protons also 3 electrons

The radius of orbit (r) = 1.76x10-11 m

We know the resultant force acting on the nucleus is F.

F = k x q(nu) x q(e)/r^2 = k x (3e) x(e) /r^2 = 3ke^2/r^2

This force is equal to centripetal force = mv^2/r where m is mass of electron, v is velocity

Then 3ke^2/r^2 = mv^2/r

3ke^2/r = mv^2

The kinetic energy is taken as (KE) = 1/2mv^2 = 3ke^2/2r

Here k = 8.99 x 10^9 Nm^2/C^2 and the charge on electron

(e) = 1.6 x 10^-19C

Then KE = 3 x 8.99 x 10^9 x ( 1.6 x 10^-19)^2 / 2 x 1.76x10-11

KE = 1.96 x 10^-17J = 122.6eV

Hence the required kinetic energy of the electron is 123eV.

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Related Questions

of the charge q initially on a tiny sphere, a por tion q is to be transferred to a second, nearby sphere. both spheres can be treated as particles and are fixed with a certain separation. for what value of q/q will the electrostatic force between the two spheres be maximized?

Answers

The value of q/Q for which the electrostatic force between the two spheres will be maximized is 0.5 .

What is called electrostatics?

Electrostatics is a branch of physics that deals with the phenomena and properties of stationary or slow-moving electric charges. Electrostatic phenomena arise from the forces that electric charges exert on each other and are described by Coulomb's law.

What is electrostatic charge?

Electrostatic charges. Static electricity or an electrostatic charge is a deficiency or excess of electrons which occurs on ungrounded or insulating surfaces. It is produced by triboelectric charges, charges that are generated by friction between two surfaces, such as the movement of paper through a copier or printer

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A Venturi meter is a simple device for measuring fluid velocity in a gas such as air. When gas passes from left to right through the horizontal pipe, it speeds up as it passes through the constriction at point 2. Bernoulli's principle tells us that the gas pressure must be lower at point 2 than at point 1, and the pressure difference causes the liquid in the U-tube to drop on the left-hand side and rise on the right-hand side. Suppose the gas is air (density 1.20 kg/m3) that enters the left-hand side of the Venturi meter at 25.0 m/s. The horizontal tube has cross-sectional area 2.00 cm2 at point 1 and cross-sectional area 1.00 cm2 at point 2. If the liquid in the U-tube is water, what is the difference in height between the water columns on the left-hand and right-hand sides of the tube

Answers

The difference in height between the water columns on the left-hand and right-hand sides of the tube can be found using the principle of continuity of fluid flow. Applying this principle to the two points in the tube, we can write the following equation: A1 * v1 = A2 * v2

Where A1 is the cross-sectional area at point 1, v1 is the velocity of the fluid at point 1, A2 is the cross-sectional area at point 2, and v2 is the velocity of the fluid at point 2.

Since the fluid is water and is at rest, we can assume that the velocity of the fluid at both points is zero and the equation becomes:

A1 = A2 * h2 / h1

Therefore:

h2 = (A1 * h1) / A2

h2 = (2.00 cm2 * h1) / 1.00 cm2

h2 = 2h1

What is the principle of continuity of fluid flow?

The principle of continuity of fluid flow states that what flows into a defined volume in a defined time, minus what flows out of that volume in that time, must accumulate in that volume.

What is a symbol of continuity?

The continuity mode has a diode symbol, which is a triangle with a line on the right side.

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Rank these throws based on the amount of time it takes the ball to hit the ground.
Rank from largest to smallest. To rank items as equivalent, overlap them.
10 m/s 60 degree angle
15 m/s 45 degree angle
20 m/ s 0 degree
10 m/s 90 degree angle
15 m/s 30 degree angle
15 m/s 60 degree angle

Answers

The order of projectile motion of the amount of  times from largest to smallest is, (6)>(2)>(4)>(1)>(5)>(3).

The projectile motion is a free fall motion of the body (or an object) in the horizontal path with constant velocity. In the projectile motion, the horizontal velocity of an object remains constant but the vertical velocity of an object changes along its path.

Total time taken by the object between the point of projection and the point where the ball touches the ground is called time of flight. The time of flight is the sum of time of ascent and time of decent.

The concept required to solve this question is projectile motion of an object. Initially, calculate the time taken by the ball to hit the ground in each case. Finally, determine the order of the amount of time from largest to smallest by using the resultant values of the time taken by the ball to hit the ground in all cases.

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A police officer parked at the curb turns on his lights and siren, waits for traffic to clear, then pulls out and heads down the street. for an observer down the street, which is true?

a. the frequency of the siren is higher and the wavelength is shorter than it was at first.
b. the wavelength of the siren is shorter than it was at first, but the frequency is the same.
c. the wavelength of the siren is shorter and the frequency is lower than it was at first.
d. the frequency of the siren is higher than it was at first, but the wavelength is the same.

Answers

If a police officer is indeed parked near the curb, they can inspect it with the red light without risking damaging their night vision. waits for the traffic to clear before pulling out and moving down the road.

Can police run red lights without cause?

No, although they could if they were contacted in an emergency. For instance, it would be illegal for a police officer to switch on their lights and siren only to pass a red light if they were stuck in traffic behind a lot of automobiles and were impatient.

What do police lights that are not flashing mean?

"Police officers will turn this on while they are at a situation that is not particularly busy. Without the extra flash patterns and needless attention, this signals the presence of law enforcement. This is a common occurrence in densely populated areas

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A car drives over the top of a hill that has a radius of 50 m. What maximum speed can the car have at the top without flying off the road?

Answers

The centripetal acceleration is given by the formula: a = v^2 / r

where v is the speed of the car and r is the radius of the hill.

To calculate the maximum speed: v = sqrt(rgµ)

where g is the acceleration due to gravity (9.8 m/s^2) and µ is coefficient of friction.

v = (50 x 9.8 x 0.7) = 37.9 m/s or 135.8 km/h

What is centripetal acceleration?

Centripetal acceleration also known as radial acceleration is the acceleration indicated towards the centre of any curved path and perpendicular to the velocity of the object. It causes an object to change its direction but doesn't alter its speed along a circular pathway.

Does speed change in centripetal force?

The force can definitely accelerate the object but it cannot alter its speed. Whenever the unbalanced centripetal force acts perpendicular to the direction of motion, the speed of the object will remain constant.

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002 10.0 points
A figure skater begins spinning counterclockwise at an angular speed of 4.0 π rad/s. During a 4.4 s interval, she slowly pulls her arms inward and finally spins at 7.8 T rad/s. What is her average angular acceleration
during this time interval?
Answer in units of rad/s².

Answers

Answer:

0.86 rad/s² counterclockwise

Explanation:

Average angular acceleration is change in angular velocity over time.

α = (ω − ω₀) / t

α = (7.8π rad/s − 4.0π rad/s) / 4.4 s

α = (3.8π / 4.4) rad/s²

α = 0.86 rad/s²

suppose you throw a ball against a wall and catch it on the rebound. how many impulses were applied to the ball? which impulse was the greatest?

Answers

Answer: <3

Explanation: ):

A van traveling 110 km/h runs into a concrete wall. The front of the van crushes such that the driver, who is wearing seat belts and shoulder straps, comes to rest after traveling 0.60 m following the impact. a. Assuming constant acceleration, how much time passes between impact and rest? b. How large is the negative acceleration experienced by the driver? c. How many "g"s did the driver experience?

Answers

a) Assuming constant acceleration, the time passes between impact and rest is about 3.927×10⁻²s.

b) The negative acceleration experienced by the driver |a| is 778m/s².

c) 79.39g's the driver will experience.

What is the straightforward meaning of velocity?

A vectorial representation of velocity is the displacement in space-time that an object or particle experiences. The standard unit for measuring velocity magnitude is the metre per second (m/s) (also known as speed).

a) [tex]V_{i}[/tex] = 110km/h = 30.56m/s

[tex]V_{f}[/tex] = 0

[tex]V^{2} _{f}[/tex] = [tex]V^{2} _{i}[/tex] +2as

0 = (30.56)² + 2a(0.6)

a = -778m/s²

Now [tex]V_{f}[/tex]  = [tex]V_{i}[/tex] + at

0 = 30.56 + -778 t

t = 3.927×10⁻²s

b) The negative acceleration experienced by the driver |a| = 778m/s²

c) g = |a|/9.8m/s² = 79.39g's

79.39g's the driver will experience.

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if a ring particle survived for the age of the solar system, how many collisions would it undergo, given that each ring particle in the densest part of Saturn's rings collides with another about every 5 hours?

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If a ring particle survived for the age of the solar system, the collisions would it undergo, given that each ring particle in the densest part of Saturn's rings collides with another about every 5 hours is 4.03 x 10¹³.

The solar system can be defined as the system including the Sun and all other objects that are gravitationally connected to the Sun. All the solar system objects rotate in the identical direction about the Sun. There are many planetary systems like ours in the universe, with planets orbiting a host star. Our planetary system is named the "solar" system because our Sun is named Sol, after the Latin word for Sun, "solar," and anything related to the Sun we call "solar." by this primary information, we can firmly conclude that if a ring particle survived for the age of the solar system, the collisions would it undergo, given that each ring particle in the densest part of Saturn's rings collides with another about every 5 hours is 4.03 x 10¹³.

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a 2.00 c charge moves from a 50.0 v equipotential line to a 40.0 v equipotential line. what is the change in the electric potential energy of the charge field system?

Answers

The charge field system's electric potential energy changed by 20J.

What is the most accurate way to define potential energy?

Potential energy's definition is quite simple: It is a type of energy that can exert force on other objects but is not now exerting any force on them. In other words, available energy concerns object positions rather than object motion.

What are five examples of potential energy?

Potential energy can be transformed into kinetic energy by being stored. Potential energy can take on a variety of shapes, such as gravitational, magnetic, electrical, molecular, and elastic potential energy.

Change in electric potential energy

= charge  x  potential difference

= 2 x ( 50 - 40)

= 20 J

Potential will be decreased by this amount.

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Two small spheres spaced 20.0 cm apart have equal charge.
How many excess electrons must be present on each sphere if the magnitude of the force of repulsion between them is 4.57 x 10-21 N?
Number of Electrons = ?

Answers

The electrons that must be present on each sphere if the magnitude of the force of repulsion between them is calculated to be 894 electrons.

Given that,

Force of repulsion = 4.57 × 10⁻²¹ N

The electrostatic force between the two charges is given by,

F = k q₁ q₂/r²

where,

k is the Coulomb's constant

q₁ = q₂ = q is the magnitude of the charge on each sphere

r = 20 cm = 0.20 m is the distance between the two spheres

We get the charge on each sphere by substituting and solving for q,

q = √(F r²/k) = √(4.57 × 10⁻²¹) (0.2)²/(9 × 10⁹) = 1.43 × 10⁻¹⁶ C

And since each electron has a charge of e = 1.6 × 10⁻¹⁹ C

Each sphere's net charge will be provided by,

q = N e

where,

N is the number of excess electrons

N = q/e = (1.43 × 10⁻¹⁶)/(1.6 × 10⁻¹⁹) = 894

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A 60 cm diameter wheel accelerates from rest at a rate of 7 rad/s2. what is the tangential acceleration of a point on the edge of the wheel?

Answers

The tangential acceleration of a point on the edge of the wheel is calculated to be 2.1 m/s².

By definition, the angular acceleration, is equal to the rate of change of the angular velocity, ω:

α = Δω / Δt ----(1)

The linear velocity, v, can be expressed as follows using the definition of the angular velocity,

v = ω × r

⇒ Δv = Δω × r ----(2)

Putting Δω, in place of (1) in (2) gives us,

Δv = α × Δt × r

⇒ Δv/Δt = α × r ----(3)

Expression of linear acceleration, can be written as,

a = α × r

For a point on the edge of the wheel, the linear acceleration is tangent to the rim, and is equal to the product of the angular acceleration times the distance to the centre, which for a point on the edge of the wheel, is just the radius,

⇒ a = 7 rad/sec² × 0.3 m = 2.1 m/s²

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The work done in pushing a TV set a distance of 2 m with an average force of 20 N is
A) 2 J. B) 10 J. C) 20 J. D) 40 J. E) 800 J.

Answers

"The work done in pushing a TV set a distance of 2 m with an average force of 20 N is calculated to be 40 J."

The force used to move an object a specific distance is referred to as work in physics. It is determined by multiplying the force times the distance. It is the transfer of energy that occurs during movement.

Mathematically, W = F × s

Given that,

Distance in pushing a TV set = 2 m

Average force = 20 N

Work done while pushing a TV set = ?

Putting the above given values, we have,

W = F × s = 20 × 2 = 40 N-m = 40 J

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you weigh 610 n. what would you weigh if the earth were seven times as massive as it is and its radius were six times its present value? answer in units of n.

Answers

You would weigh 118.6 N. The result is obtained using the formula for acceleration due to gravity.

What is the formula for acceleration due to gravity?

The acceleration due to gravity can be counted by the following formula.

g = F/m = GM/R²

Where

g = acceleration due to gravitym = mass of test objectF = gravitational force or weight (W)G = universal gravitational constantM = mass of an objectR = distance from the center of mass of object

You weigh 610 N. Find your weight if the earth's mass were seven times and its radius were six times its present value!

Let's say

g₁ = acceleration due to gravity 1g₂ = acceleration due to gravity 2M₂ = 7M₁R₂ = 6R₁

The ratio of the accelerations due to gravity is

g₁/g₂ = (GM₁/R₁²)/(GM₂/R₂²)

g₁/g₂ = (M₁/R₁²)/(7M₁/(6R₁)²)

g₁/g₂ = (M₁/R₁²)/(7M₁/36R₁²)

g₁/g₂ = (36M₁R₁²)/(7M₁R₁²)

g₁/g₂ = 36/7

Your weight now would be

m = W/g

W₁/g₁ = W₂/g₂

610/36 = W₂/7

W₂ = (610×7)/36

W₂ = 118.6 N

Hence, your weight would be 118.6 N on the new earth.

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A particle with mass 1.81 xio-3 kg and a charge of 1.22 times sign 10^-8 C has, at a given instant, a velocity v = (3.00 times sign 10^4 m/s)j. What are the magnitude and direction of the particle's acceleration produced by a uniform magnetic field B=(1.63 T)i+(0.980 T)j?Draw the velocity v and magnetic field B vectors. Since they have different units, their relative magnitudes aren't relevant. Be certain they have the correct orientations relative to the given coordinate system. The dot in the center of the image represents the particle. Recall that i, j, and k are the unit vectors in the x, y, and z directions, respectively.Find the acceleration vector for the charge. Enter the x, y, and z components of the acceleration in meters per second squared separated by commas. A= m/s^2

Answers

The acceleration vector for the charge is -8.892 x [tex]10^4[/tex] m/s² i + 2.17 x [tex]10^4[/tex] m/s² j, and is perpendicular to the plane formed by the velocity vector and the magnetic field vector.

The acceleration of a charged particle in a magnetic field is given by the Lorentz force equation:

F = q(v x B)

The magnitude of the acceleration is:

|a| = |q| |v x B|/m

The direction of the acceleration can be determined using the right-hand rule, which states that when the thumb of the right-hand points in the direction of v and the fingers curl in the direction of B, the extended palm of the hand points in the direction of a.

Given the given values, the acceleration vector will be:

a = q (v x B) / m = 1.22 x [tex]10^{-8}[/tex] C × (3.00 x [tex]10^4[/tex] m/s) x (1.63 T)i + (0.980 T)j / 1.81 x [tex]10^{-3}[/tex] kg = -8.892 x [tex]10^4[/tex] m/s² i + 2.17 x [tex]10^4[/tex] m/s² j

So the acceleration vector for the charge is -8.892 x [tex]10^4[/tex] m/s² i + 2.17 x [tex]10^4[/tex] m/s² j.

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Suppose the distance from the lens system of the eye (cornea + lens) to the retina is 16 mm.
(a) What must the power of the lens be when looking at distant objects?
(b) What must the power of the lens be when looking at an object 18.2 cm from the eye?
(c) Suppose that the eye is farsighted; the person cannot see clearly objects that are closer than 1.0 m. Find the power of the contact lens you would prescribe so that objects as close as 18.2 cm can be seen clearly.

Answers

The power of the lens be when looking at distant objects are found to be +62.5 D and + 0.67D

What is the lens's power?

The power of a lens is its capacity to cause the light rays falling on it to converge or diverge. The reciprocal of a lens's focal length is the lens's power. The SI power unit is the dioptre (D).

focal length = 16mm

power of lens = 1/f => 1/16 x 10^-3

                     => +62.5 D

object distance = u = -18.2 cm

image distance = v = 16mm = 1.6cm

1/f = 1/v - 1/u

=> 1/f = 1/1.6 + 1/18.2

=> Power = 1/f => + 0.67D

What does a lens' focal length mean?

When a lens is focused to infinity, its focal length can be calculated. The focal length of the lens indicates the amount of the scene that will be captured from an angle of view as well as the size of individual elements under magnification. The angle of view is narrower and the magnification is higher the longer the focal length.

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Which type of energy is transferred between the two objects due to the temperature difference between them?

Answers

The type of energy transferred between the two objects due to the temperature difference between them is known as heat energy.

The heat energy transfers from the object at higher temperature to the object at lower temperature.

The exchange of thermal energy between two objects is referred to as heat. The amount of thermal energy a thing possesses may be determined by its temperature; the higher the temperature, the faster the molecules inside the object move. The transfer of heat therefore occurs from the item at higher temperature to the object at lower temperature because an object at higher temperature has more thermal energy than an object at lower temperature.

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A sample of neon effuses from a container in 74 seconds. The same amount of an unknown noble gas requires 151 seconds.(a) Identify the gas.

Answers

The unknown noble gas is argon. Argon is the third most abundant gas in Earth's atmosphere, making up around 0.94% of the total atmosphere.

It is also the most abundant noble gas, making up around 1.3% of the atmosphere. Argon is an odorless, colorless, and tasteless gas that is slightly heavier than air.

It is nontoxic and nonflammable. Argon has a low thermal conductivity, so it is often used as an inert gas shield in welding and other high-temperature processes. In this case, it took 151 seconds for the same amount of argon to effuse from the container, compared to 74 seconds for neon.

This indicates that argon has a much lower effusion rate than neon and is therefore a different gas.

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what advantages do fiber optic cables offer over twisted pair cables and other media choices? what are the disadvantages of implementing fiber optic cables?

Answers

The main advantage of using optical fibre cable over unshielded twisted pair cable is its huge bandwidth. But even so, we use twisted pair cable at the consumer end on occasion.

The following are some advantages of using optical fibre cable: 1. Access to the internet Twisted pair cable's diameter is greater than that of optical fibre cable. Optical fibre cable has a tiny diameter due to its flexibility and thinness. 4. In twisted-pair cables, attenuation is very high. In optical fibre cables, attenuation is extremely low. More cable is allowed with fibre optic cables compared to copper twisted pair lines. Compared to copper twisted pair connections, fibre optic cables have a wider bandwidth. Installing the cables is affordable.

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What types of energy transformation take place in battery operated radio?​

Answers

Explanation:

In a battery-operated radio, energy is transformed from chemical energy stored in the batteries to electrical energy, which is then used to power the radio's electronic components and produce sound through the speakers. The electrical energy from the batteries is used to power the radio's circuits and drive the movement of the speakers' diaphragm, which produces sound waves. This process is known as electro-mechanical energy transformation.

Answer:

from mechanical to sound energy

a 60 kg person drives a 2000 kg car at 100 km/h over the top of a hill that has a radius of curvature of 100 m. find the normal force that the seat exerts on the person in the car as it tops the hill.

Answers

The normal force that the seat exerts on the person in the car is approximately 206000 N.

What do you mean by force?

An interaction between objects is referred to as a force. It is called an interaction because when one object acts on another, the other object responds in kind.

To find the normal force that the seat exerts on the person in the car as it tops the hill, we can use the formula for centripetal force:

F = m * a, where F is the force, m is the mass, and a is the centripetal acceleration.

The centripetal acceleration is given by the formula: a = v² / r, where v is the velocity and r is the radius of curvature of the hill.

Plugging in the given values, we get:

a = (100,000 m/h)² / 100 m = 10^8 m/s²

To find the normal force, we need to use the weight of person and the car as the mass and the centripetal acceleration we just calculated.

F = (60 kg + 2000 kg) * 10^8 m/s²

F = 2.06 * 10^5 N or 206000 N

So, the normal force that the seat exerts on the person in the car is approximately 206000 N.

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a car can round an 80-meter radius curve at a maximum speed of 20 m/s. find the maximum speed the car can travel on the same surface if the radius of the curve is increased to 320 meters.

Answers

A car can travel at a top speed of 20 m/s around a curve with an 80-meter radius. r=0.52 and v=40.4 m/s.

What is speed and what is its unit in physics?

The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the fundamental unit of time and or the basic unit od height are combined to form new SI unit of speed.

How does physics define speed?

Knowing the variables for both distance and time is necessary to calculate the units for speed. Here, the distance is measured in meters and the time is measured in seconds.

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standing waves on a string suppose that there was a ride at an amusement park that was titled the standing wave. which location - node or antinode - on the ride would give the greatest thrill? why?

Answers

Imagine there existed a rollercoaster called the standing wave at an amusement park, and that the first and last nodes of the ride would provide the greatest thrills.

In physics, a standing wave—also known as a stationary wave—is an oscillating wave in space with a fixed peak amplitude profile. The peak amplitude of the wave oscillations remains constant throughout all of space and time, irrespective of the location. Imagine there existed a rollercoaster called the standing wave at an amusement park. When two waves that are moving in opposing directions superimpose, a standing wave is produced. Two identical waves flow in opposing directions, therefore there is no net change in momentum or energy.

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a 10cm×10cm×10cm wood block with a density of 720 kg/m3 floats in water.
PART A
What is the distance from the top of the block to the water if the water is fresh?
PART B
If it's seawater? Suppose that rho=1030kg/m3.

Answers

The distance from the top of the block to the water will be 3.6 cm, which is the volume displaced by the block divided by the area of the top of the block, which is 10cm x 10cm.

What is distance?

Distance is a numerical measurement of how far apart two objects, places, or points are in space. It is often measured in units like kilometers, miles, meters, or feet. Distance can also be conceptualized in terms of time, as in the distance between two points in time.

PART A
If the water is fresh, the distance from the top of the block to the water is 3.6cm. This is because the block's density is 720 kg/m3, while the density of fresh water is 1000 kg/m3. Therefore, the block is lighter than the water and will float. The block will displace a volume of 1000 kg/m3, which is equal to 10 cm3. Thus, the distance from the top of the block to the water will be 3.6 cm, which is the volume displaced by the block divided by the area of the top of the block, which is 10cm x 10cm.

PART B
If the water is seawater, the distance from the top of the block to the water is 2.7cm. This is because the block's density is still 720 kg/m3, while the density of seawater is 1030 kg/m3. Therefore, the block is still lighter than the water and will still float. The block will displace a volume of 1030 kg/m3, which is equal to 10.3 cm3. Thus, the distance from the top of the block to the water will be 2.7 cm, which is the volume displaced by the block divided by the area of the top of the block, which is 10cm x 10cm.

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Look at the equation below. What does
the u represent?
a=V-U/t

Answers

U is represent is Speed .

What is Speed?

Measuring is the most important scientific concept. Many different types of quantifiable quantities can be measured using base or physical fundamental units. One such quantifiable quantity is speed, which computes the proportion of a moving object's distance travelled to its travel time. In this session, let's examine speed in further detail. An object is considered to be moving at uniform speed if it covers the same distance in the same period of time.

An object is considered to be moving at variable speed when it covers a varying distance at regular intervals of time.

Typical speed: The consistent speed determined by the ratio of the overall distance travelled by an object to the total amount of time it takes to go is known as average speed.

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a car is safely negotiating an unbanked circular turn at a speed of 26 m/s. the road is dry, and the maximum static frictional force acts on the tires. suddenly a long wet patch in the road decreases the maximum static frictional force to one-fourth of its dry-road value. if the car is to continue safely around the curve, to what speed must the driver slow the car?

Answers

The speed of the car must be reduced to 13 m/sec to continue safely around the curve. if the value of maximum static friction constant reduced to 1/4th of the original value on the dry road.

The speed of the car, v = 26 m/s

Mass of the car =m

Radius of the curve = R

Coefficient of static frictional = μ

μ×mg = mv²/R

v² = μgR

v = √(μgR) = 26 m/s

If the static friction constant reduced to 1/4th of the original value, then

μ₁ = μ/4

v₁ = √(μ₁gR)

v₁ = √(μ/4×gR)

v₁ = 1/2×√(μgR)

v₁ = 1/2 × v

v₁ = 1/2 × 26 = 13 m/s

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Newtonís third law states that for every action, there is a reaction. Which of the following accurately restates this law?
A.If object A exerts a force on object B, then object B always exerts a force back on A. The object with the greater mass exerts a greater force
B.If object A exerts a force on object B, then object B always exerts a force back on A. The object with the greater acceleration exerts a greater force
C.If object A exerts a force on object B, then object B always exerts a force back on A The two forces are equal in magnitude, but opposite in direction to each other.
D.If object A exerts a force on object B, then object B always exerts a force back on A. The object with the greater mass and acceleration exerts a greater force.

Answers

Answer:B

Explanation:

The answer would be B because Answer B exerts a force which has a reaction.

the density of osmium (the densest metal) is 22.57 g/cm3. what volume would be occupied by 4.42 kg of osmium?

Answers

Osmium has a density of 22.57 g/cm³, therefore 100.55 ml of space would be taken up by 1.50 kg with osmium.

Why is density important?

The density of a place refers to the number of things there, which may include inhabitants, animal, trees, or artefacts. The density is calculated by dividing the number of objects by the breadth of the area. A country's population density is calculated by dividing the entire person by the area, expressed in square kilometres or miles.

The following formula can be used to determine density:

Density is calculated as mass divided by volume in litres.

Density = 22.57 g/cm³

Mass = 4.42 kg

In the equation, the value is replaced,

22.57 g/cm³ = 4.42 kg / volume

Volume = 22.75 g/cm³ × 4.42 kg

Volume = 100.55 ml

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An aerobatic airplane pilot experiences
weightlessness as she passes over the top of
a loop-the-loop maneuver.
The acceleration of gravity is 9.8 m/s^2.
If her speed is 450 m/s at this time, find the radius of the loop.
Answer in units of km.

Answers

To find the radius of the loop, we can use the relationship between the acceleration of gravity, the speed of the airplane, and the radius of the loop. This relationship is given by:

g = (v^2) / r

Where g is the acceleration due to gravity, v is the speed of the airplane, and r is the radius of the loop.

We know that the acceleration of gravity is 9.8 m/s^2, and the speed of the airplane is 450 m/s. We can substitute these values into the equation and solve for r:

9.8 = (450^2) / r

r = (450^2) / 9.8

r = (450 x 450) / 9.8

r = (202,500) / 9.8

r = 20,714.2857 m

To convert meters to kilometers, we divide the value by 1000.

r = 20.7142857 km

Two cars each have a mass of 1050 kg. if the gravitational force between
them is 2.27 x 10-7n, how far apart are they? g = 6.67 x 10-11 n. (m/kg)2

Answers

The distance between the two cars each have the distance of 1050 kg is 17.99 x 10⁴ m

The mass of two cars = 1050 kg

The gravitational force between the two cars = 2.27 x 10⁻⁷ N

The distance between the two cars can be found using the formula,

           F = g m₁m₂/r²

where F is the gravitational force

          g is the gravitational constant

          m₁,m₂ is the masses of the two cars

          r is the distance between the two cars

Let us rearrange the above equation,

          r² = g m₁m₂/F

Let us substitute the known values in the above equation, we get

        r² = 6.67 x 10⁻¹¹ x 1050 x 1050 / 2.27 x  10⁻⁷

            = 7353675 x 10⁻¹¹ / 2.27 x  10⁻⁷

            = 3239504.41 x 10⁴

        r = √3239504.41 x 10⁴

           = 1799.86233 x 10²

           = 17.99 x 10⁴ m

Therefore, the distance between the two cars is 17.99 x 10⁴ m

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