two charges q1 is 50mc and q2 is 10mc are located at -1,1,-3and3, 1, 0respectively find the force on q1

The statements (A) both toy cars will acquire equal but opposite momenta and (C) the massive toy car will acquire least speed are true.

The statement "both toy cars will acquire equal but opposite momenta" is true. This is because momentum is always conserved in a system, and in this case, the initial momentum of the system is zero. When the spring is released, the two toy cars will move in opposite directions, but because they have different masses, they will have different speeds. Therefore, their momenta will be equal but opposite in direction.

The statement "both toy cars will acquire equal kinetic energies" is false. This is because kinetic energy is not conserved in this system, and the two toy cars will have different kinetic energies due to their different masses and speeds.

The statement "the massive toy car will acquire the least speed" is true. This is because the massive toy car has greater inertia than the smaller toy car, meaning it requires more force to move at the same speed. Therefore, it will accelerate more slowly and reach a lower maximum speed than the smaller toy car.

The statement "the smaller toy car will experience an acceleration of the greatest magnitude" is false. This is because acceleration is dependent on both the force applied and the mass of the object. While the smaller toy car may experience a greater force than the larger toy car, it also has less mass, so the acceleration of the two cars will be the same.

Overall, the true statements are A and C, and the false statements are B and D.

The Question was Incomplete, Find the full content below :

Two toy cars with different masses originally at rest are pushed apart by an ideal spring and released. Which of the following statements (s) are TRUE?

(A) both toy cars will acquire equal but opposite momenta  

(B) both toy cars will acquire equal kinetic energies  

(C) the massive toy car will acquire least speed  

(D) the smaller toy car will experience an acceleration of the greatest magnitude

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Using the triangle of forces to get the system of the forces;

If three forces acting on a body are in equilibrium, then they can be represented in magnitude and direction by the three sides of a triangle taken in order.

In other words, the three forces can be drawn as vectors, and these vectors can be arranged to form a closed triangle.

We know that we have the other end of the triangle to be;

100 Kg * 10 m/s^2 = 1000 N

The missing angle is;

180 - (30 + 60)

= 90 degrees

Thus;

1000/Sin 90 = T1/Sin 60

T1 = 100 Sin 60/Sin 90

T1 = 866/1

T1 = 866 N

1000/Sin 90 = T2/Sin 30

T2 = 1000 Sin 30/Sin 90

T2 = 500 N

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The disruption of His 146 - Lys 40 interaction directly contributes towards removing 2,3-BPG from HB. This interaction has a low binding affinity (Kd) when pO2 is at 100 Torr compared to when pO2 is at 20 Torr, where it has a higher affinity (Kd).

This means that at a higher pO2, 2,3-BPG is more likely to be removed, allowing HB to bind oxygen with higher affinity.
When answering questions on Brainly, you should always be factually accurate, professional, and friendly, be concise and not provide extraneous amounts of detail, and provide a step-by-step explanation in your answer. The disruption of His 146 - Lys 40 interactions directly contributes towards removing 2,3-BPG from HB.

This is because the 2,3-bisphosphoglycerate (2,3-BPG) molecule interacts with hemoglobin by creating salt bridges with specific amino acid residues, resulting in oxygen unloading in tissues at high altitudes.

The residue lysine 40, which forms a salt bridge with the carboxylate groups of 2,3-BPG, is one of the most important 2,3-BPG-binding residues in hemoglobin.To remove 2,3-BPG from hemoglobin, it is necessary to disrupt the salt bridge between lysine 40 and 2,3-BPG. This can be accomplished by modifying the lysine residue or by increasing the oxygen tension of the blood. Increasing oxygen tension can displace 2,3-BPG from hemoglobin, making it available for oxygen transport.

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Volcanic eruptions are a nonanthropogenic source of carbon dioxide emissions into the atmosphere.

What is volcanic eruption?

A volcanic eruption is a natural or nonanthropogenic source of carbon dioxide emissions into the atmosphere. During a volcanic eruption, carbon dioxide and other gases are released from the Earth's mantle and can contribute to the atmospheric concentration of carbon dioxide.

However, the amount of carbon dioxide emitted by volcanoes is relatively small compared to the amount emitted by human activities such as burning fossil fuels. While volcanic eruptions are a natural source of carbon dioxide emissions, the amount emitted by volcanoes is relatively small compared to the amount emitted by human activities such as burning fossil fuels.

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Complete question is: Volcanic eruptions are a nonanthropogenic source of carbon dioxide emissions into the atmosphere.

The final velocity of the combined mass after the collision is 15 m/s to the right.

This can be calculated using the equation for Conservation of Momentum.

The momentum of the combined mass before the collision is the sum of the momentums of the truck and car individually:

Momentum of Truck = 2000kg x 10 m/s = 20000 kgm/s

Momentum of Car = 500 kg x 20 m/s = 10000 kgm/s

Total Momentum before Collision = 30000 kgm/s

The total momentum after the collision is the same as before, so the final velocity of the combined mass is:

Final Velocity = Total Momentum/Combined Mass

Final Velocity = 30000 kgm/s / 2500 kg

Final Velocity = 15 m/s

therefore, the final velocity is 15 m/s.

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When the snow melts, it will form liquid water, and the volume of the water will be equal to the volume of the original snow sample. Therefore, the volume of liquid water produced by the melting of the 24 ml sample of snow is also 24 ml.

If the snow has a density of 0.5 g/ml, then the mass of the snow is:

mass = density x volume = 0.5 g/ml x 24 ml = 12 g

Therefore, the volume of liquid water produced by the melting of the 24 ml sample of snow is also 24 ml.

What is volume?

Volume of liquid refers to the amount of space that a liquid occupies. It is a measure of the three-dimensional space that the liquid occupies and is usually measured in units such as liters, milliliters, gallons, or fluid ounces. The volume of a liquid is determined by the shape of the container in which it is placed, and it can be measured directly using a graduated cylinder or other volumetric measuring device.

What is density?

Density is a physical property of matter that describes how much mass is present in a given volume of a substance. It is defined as the mass of a substance per unit volume, and is typically measured in units such as grams per milliliter (g/mL) or kilograms per cubic meter (kg/m³).

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Answer:

Explanation:

Distance is the total length of the path taken from point A to B (the total distance of the whole curvy train route).

Displacement is the straight-line distance from the start point to the end point.  Draw a straight line from A to B, then measure it in exact cm.  Multiply your measurement in cm by 5 to get the answer in km.

Answer:

Explanation:

The work-energy theorem states that the net work done on an object is equal to its change in kinetic energy. Therefore, we can use this theorem to calculate the final kinetic energy of the ball in each case.

We know that the work done by a constant force is given by the equation W = Fd cos(theta), where F is the magnitude of the force, d is the displacement of the ball, and theta is the angle between the force and displacement vectors.

Using the work-energy theorem, we can write:

W = ΔK = Kf - Ki

where ΔK is the change in kinetic energy, Kf is the final kinetic energy, and Ki is the initial kinetic energy.

We can rearrange this equation to solve for Kf:

Kf = Ki + W = Ki + Fd cos(theta)

a) Kf = 150 J + (10 N)(15 m)cos(90°) = 150 J

b) Kf = 300 J + (200 N)(1.5 m)cos(180°) = 0 J

c) Kf = 200 J + (25 N)(4 m)cos(0°) = 300 J

d) Kf = 450 J + (15 N)(30 m)cos(150°) = 112.5 J

Ranking from greatest to least final kinetic energy:

c) Ki=200J F=25N d=4m theta=0 degrees

a) Ki=150J F=10N d=15m theta=90 degrees

d) Ki=450J F=15N d=30m theta=150 degrees​

b) Ki=300J F=200N d=1.5m theta=180 degrees

The perimeter of the pool is approximately 206.85 feet if we use 3.14 as the approximation of the value of π.

In this case, the angle AOB is 360 degrees, so the arc length is:

arc length = (360/360) x 2π(25) = 50π feet

Finally, we can find the perimeter of the pool by adding up the lengths of the two semicircles and the arc AB:

perimeter = 2πr + 2r + arc length

perimeter = 2π(25) + 2(25) + 50π

perimeter = 50π + 50

Perimeter is a measurement of the distance around the edge of a two-dimensional shape, such as a square, rectangle, or circle. It is the sum of the lengths of all the sides that make up the shape. The perimeter is an important concept in geometry and is used to determine the amount of material needed to enclose or surround a shape, as well as to calculate the distance around a given route or path.

To find the perimeter of a shape, you simply add up the lengths of its sides. For example, if you have a square with sides that are each 5 units long, the perimeter would be 5 + 5 + 5 + 5 = 20 units. Similarly, if you have a circle with a radius of 10 units, the perimeter (also known as the circumference) would be 2πr or approximately 62.8 units.

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Complete Question: -

If AO is 50 feet, find the perimeter of the pool. (O is the center of the sector AOB. OA and OB are the diameters of two semi-circles.)

The positions marked by the straight arrows in the image are the first quarter and third quarter phases of the Moon the tide that occurs is called a "neap tide".

What is neap tide?

During these phases, the Moon and the Sun are at right angles to each other with respect to the Earth, which causes the gravitational forces of the Moon and the Sun to partially cancel out. As a result, the tidal range is at its minimum, and the tide that occurs is called a "neap tide". Therefore, the answer is "neap".

What is gravitational forces?

Gravitational forces refer to the attractive force that exists between any two objects in the universe that have mass. This force is governed by Newton's law of universal gravitation, which states that the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

This means that the larger the mass of the objects, the stronger the gravitational force between them, and the farther apart they are, the weaker the gravitational force. Gravitational forces are responsible for keeping celestial bodies, such as planets, moons, and stars, in their orbits, and for the phenomena of tides on Earth caused by the gravitational pull of the Moon and the Sun.

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Complete question is: "neap tide" type of tide occurs when the moon is in the positions marked by the straight arrows in this image.

the work done is 24,442 J.

As for the second part of the question, putting on a bigger engine could have other benefits besides increasing the distance traveled. For example, it could increase the speed of the cart or allow it to carry heavier loads. Additionally, the purpose of the cart may have changed, requiring a bigger engine to meet new demands.

The work done is calculated using the formula:

work = force x distance x cos(theta)

where force is the net force acting on the cart, distance is the distance traveled, and theta is the angle between the direction of force and the direction of motion.

Assuming that the cart moves along a horizontal surface, theta is 0 and cos(theta) is 1. Therefore, the work done is:

work = force x distance

To calculate the force, we can use Newton's second law, which states that force is equal to mass times acceleration:

force = mass x acceleration

The acceleration can be calculated using the equation:

acceleration = net force/mass

Since the cart moves forward, the net force must be in the forward direction. Therefore, the force is equal to the maximum force that the engine can provide, which is 1111 N.

The mass of the cart is not given, so we cannot calculate the acceleration and force precisely. However, we can use the distance traveled to estimate the force.

If the cart moves forward 22 m and the engine provides a constant force, then the work done is:

work = force x distance = (1111 N) x (22 m) = 24,442 J

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The initial elongation of the material described by the Maxwell model is given by the formula, initial elongation = [tex]F_0[/tex]/k.

The initial elongation value at t=0 for the material described by the Maxwell model is given by the formula, initial elongation = [tex]F_0[/tex]/k.

Here, k represents the spring constant of the material.

Let's understand this in detail.

The Maxwell model is a type of viscoelastic model that is used to describe the behavior of certain materials. It is made up of a spring and a dashpot in series.

The spring represents the elastic component of the material and the dashpot represents the viscous component of the material.

In this model, the deformation of the material depends on the applied force as well as the time duration for which the force is applied.

The formula to calculate the initial elongation of the material is given by:

initial elongation = [tex]F_0[/tex]/k

where [tex]F_0[/tex] is the force applied to stretch the material and k is the spring constant of the material. The spring constant of a material is defined as the amount of force required to stretch the material by one unit.

The initial elongation of the material is calculated using the spring constant of the material. The spring constant represents the amount of force required to stretch the material by one unit.

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The equivalent capacitance of the combination is 2.2405 μF.

To find the equivalent capacitance of the combination, we can use the formula:

1/C = 1/C1 + 1/C2 + 1/C3

where C1, C2, and C3 are the capacitances of the three capacitors.

Plugging in the values, we get:

1/C = 1/5.2μF + 1/7μF + 1/9μF

1/C = 0.1923077 + 0.1428571 + 0.1111111

1/C = 0.4462759

C = 1/0.4462759

C = 2.2405 μF (rounded to 4 significant figures)

Therefore, the equivalent capacitance of the combination is 2.2405 μF.

A system's capacitance is its capacity to store an electric charge. The proportion of the electric charge held on a conductor to the difference in potential between the conductors is what is meant by this term.

The farad (F), which is equal to one coulomb per volt, is the unit of capacitance.

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The potential energy of an electron moving parallel to an electric field decreases as it moves from higher voltage to lower voltage. The work done by the electric field on the electron is equal to the decrease in potential energy. The potential energy of the electron is proportional to its charge and the voltage difference between the two points.

When an electron moves parallel to an electric field, its potential energy is conserved. The potential energy of an electron is proportional to its charge and the voltage through which it moves. As the electron moves from higher voltage to a lower voltage, its potential energy decreases. The work done by the electric field on the electron is equal to the decrease in potential energy. When the electron is at rest, it has a certain potential energy due to its position in the electric field. If the electron is allowed to move freely, it will accelerate towards the lower voltage region, gaining kinetic energy. As it moves, the electric field continues to do work on the electron, converting its potential energy into kinetic energy. If the electric field is uniform, the potential energy of the electron will be given by the equation U = -qV, where q is the charge of the electron and V is the voltage difference between the two points. The negative sign indicates that the potential energy decreases as the voltage difference decreases.

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Answer:

F.  The forces exerted by the meteor and the spacecraft on each other will be of equal strength.

The expression for the Young Modulus E of the metal is E = mgl / Ae. The Young Modulus E of the metal is calculated using the equation  E = (F l) / (A e2 m), where F is the force applied to the wire.

To find the expression for the Young modulus E of a metal wire with length l, cross-sectional area A, and mass m hung from the other end of the wire, we need to use the following formula:Stress (σ) = Load (F) / Area (A)Strain (ε) = Extension (Δl) / Original length (l)Young Modulus (E) = Stress (σ) / Strain (ε)We know that the metal wire is fixed at one end and the wire extends a distance e when a mass m is hung from the other end of the wire. Therefore, the extension Δl is equal to e.

Let's assume that g is the acceleration due to gravity. Therefore, the load F is equal to m * g.Substituting the values of F, A, and Δl in the above formula, we get:Stress (σ) = F / A = (m * g) / AStrain (ε) = Δl / l = e / lYoung Modulus (E) = Stress (σ) / Strain (ε)= (m * g) / (A * e / l) = mgl / AeTherefore, an expression for the Young Modulus E of the metal is E = mgl / Ae.

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Answer:

Explanation:

R/^5*r^6 Ok so  then this is simple once u get the answer u need to use the given formula in order to plug in the numbres sorry .

So basically

12 x r^6(u must fill in the number s ) and then u need to do `13x14xr the answer and use the rest of the numbers in order to figure out the quantities of each side for the shape . Then ur answer would be the r^x + x = ???

So yeah hope this helped

I think

Kind of

K Thanks Bye

1. Based on the periodic trends for ionization energy, which element has the highest ionization energy?

2) Nitrogen has a larger atomic radius than oxygen.

3) Which has more metallic character, Lead (Pb) or Tin (Sn)?

4.) Which element has a higher melting point chlorine (Cl) or bromine (Br)?

5) Which element is more electronegative, sulfur (S) or selenium (Se)?

6) Why is the electronegativity value of most noble gases zero?

Ans. Because Noble gases has fully filled valance shell and thus cannot accept or donate any electron. So, electronegativity value of most noble gases is zero.

7) Arrange these atoms in order of decreasing effective nuclear charge by the valence electrons: Si, Al, Mg, S

8) Rewrite the following list in order of decreasing electron affinity fluorine (F), phosphorous (P). sulfur (S), boron (B).

9) An atom with an atomic radius smaller than that of sulfur (S) is

10) A nonmetal has a smaller ionic radius compared with a metal of the same period.

If an equal amount of heat energy is applied to all the substances at the same time, aluminum will heat up more quickly compared to the other substances.

What is Specific Heat ?

Specific heat is the amount of heat energy required to raise the temperature of a substance by a certain amount, usually one degree Celsius or one Kelvin, per unit mass of the substance. It is a physical property that determines how much energy is needed to change the temperature of a material. Different materials have different specific heat values, which can be used to predict how they will behave when heated or cooled.

Looking at the table, we can see that water has the highest specific heat capacity of all the substances listed, at 4.18 J/g°C. This means that it requires more energy to raise the temperature of water compared to the other substances. Therefore, if an equal amount of heat energy is applied to all the substances at the same time, water will heat up more slowly compared to the other substances.

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The pressure exerted by the man on the lilo is 450 pascals (Pa).

The pressure is the force per unit area, so we can calculate it using the formula:

pressure = force / area

In this case, the force is the weight of the man, which is 900 N, and the area is the surface area of the lilo, which is 2 m². Therefore, we can substitute these values into the formula:

pressure = 900 N / 2 m²

Simplifying, we get:

pressure = 450 Pa

Therefore, the pressure exerted by the man on the lilo is 450 pascals (Pa).

What is pressure?

Pressure is the amount of force applied per unit area over a surface. It is defined as the force per unit area perpendicular to the surface on which the force is acting. The unit of pressure is pascal (Pa), which is equivalent to one newton per square meter (N/m²).

What is force?

Force is a physical quantity that describes the interaction between two objects that can change the state of motion or shape of an object. It is defined as an influence that causes an object to undergo acceleration, or a change in velocity, or deformation.

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Answer:

Explanation:

According to the law of conservation of momentum, the total momentum before the collision must be equal to the total momentum after the collision. We can use this principle to determine the resulting velocity of Kaylyn's puck after the collision.

Before the collision, Sharon's puck has a momentum of:

p1 = m1 * v1 = 0.3 kg * 6 m/s = 1.8 kg m/s

where m1 is the mass of Sharon's puck and v1 is its velocity.

Kaylyn's puck is at rest before the collision, so its momentum is:

p2 = m2 * v2 = 0.3 kg * 0 m/s = 0

where m2 is the mass of Kaylyn's puck and v2 is its velocity.

After the collision, Sharon's puck is at rest, so its momentum is:

p1' = m1 * v1' = 0.3 kg * 0 m/s = 0

where v1' is the velocity of Sharon's puck after the collision.

The total momentum after the collision is the momentum of Kaylyn's puck:

p2' = m2 * v2'

where v2' is the resulting velocity of Kaylyn's puck after the collision.

Using the conservation of momentum principle, we can write:

p1 + p2 = p1' + p2'

Substituting the values we have calculated:

1.8 kg m/s + 0 = 0 + 0.3 kg * v2'

Solving for v2':

v2' = (1.8 kg m/s) / (0.3 kg) = 6 m/s

Therefore, the resulting velocity of Kaylyn's puck after the collision is 6 m/s, which is equal to the velocity of Sharon's puck before they collided. The correct answer is option A.

Based on what you learned about the roller coaster ride, the following statements about energy transformations that are true are: A. Kinetic energy can be converted into several other types of energyC. A change in an object's speed is evidence that the object's kinetic energy is changing.

The process of energy transformation is the conversion of one form of energy into another. This term describes the scientific process by which energy, in various forms, is transformed to do work. Energy transformation occurs in every physical system in the universe.

Kinetic energy can be converted into several other types of energy.Kinetic energy is the energy of a moving object. The energy is converted into various types of energy, such as electrical and thermal energy, as a result of movement. In a roller coaster, kinetic energy is converted into potential energy as the train goes up the lift hill. The potential energy is converted back into kinetic energy as the train goes down the first drop.

A change in an object's speed is evidence that the object's kinetic energy is changing.Kinetic energy changes when an object's speed changes. If an object slows down, its kinetic energy decreases, while if it speeds up, its kinetic energy increases. On the roller coaster, as the train moves up and down the track, its speed varies, causing changes in its kinetic energy.

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At position 2, ion B falls. It is less deflected because it has a lesser mass than ions C, D, and E and the same charge as ion A.

A force perpendicular to the charged particle's velocity and the magnetic field's direction is applied when it reaches the magnetic field. The right-hand rule asserts that the palm will face the direction of the force if the thumb of the right hand points in the direction of the particle's velocity and the fingers point in the direction of the magnetic field. The particle's charge, velocity, and magnetic field intensity all affect how much force is generated.

Since all ions are moving at the same speed in this scenario, the force exerted on each ion is proportional to its charge to mass ratio. Ion B has the smallest mass of all the ions, so the least force and is least deflected of the ions, falling at position 2.

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(1a) The potential energy of the body is 980 J

(1b) The kinetic energy of the body halfway down is 490 J and

(1c) The kinetic energy just before impact is 9807 J.

(2) The work done by the trailer on the car is 15,750,000 J.

(3)The initial speed of the vehicle was 10.6 m/s and the work required to stop the car is 269.9 kJ.

Problem 1:

The potential energy of the body is given by the formula:

potential energy = mass x gravity x height

where mass = 50 kg, gravity = 9.8 m/s², and height = 2 m

So, potential energy = 50 x 9.8 x 2 = 980 J

When the body is halfway down, its height above the ground is 1 m. At this point, the potential energy is:

potential energy = mass x gravity x height

potential energy = 50 x 9.8 x 1 = 490 J

The total energy of the body (at any point) is the sum of its potential energy and kinetic energy.

Therefore, the kinetic energy of the body halfway down is:

kinetic energy = total energy - potential energy

kinetic energy = (50 x 9.8 x 2) - (50 x 9.8 x 1) = 490 J

Just before impact with the floor, the height of the body above the ground is zero, so the potential energy is also zero.

At this point, the total energy of the body is equal to its kinetic energy:

kinetic energy = (1/2) x mass x velocity²

where mass = 50 kg, and velocity = ?

To find the velocity, we can use the conservation of energy principle:

total energy at the top = total energy just before impact

potential energy at the top = kinetic energy just before impact

potential energy at the top = 50 x 9.8 x 2 = 980 J

kinetic energy just before impact = 980 J

So, (1/2) x 50 x velocity^2 = 980 J

Solving for velocity, we get:

velocity = √(2 x 980 / 50) = 19.8 m/s

Therefore, the kinetic energy just before impact is:

kinetic energy = (1/2) x 50 x (19.8)^2 = 9,807 J

Problem 2:

The work done by the trailer on the car is given by the formula:

work = force x distance

where force = 900 N, and distance = (70 km/h) x (15/60) h = 17.5 km

Converting km to meters, we get:

distance = 17.5 km x 1000 m/km = 17,500 m

So, work = 900 x 17,500 = 15,750,000 J

Problem 3:

The work done by the brakes is equal to the change in kinetic energy of the vehicle:

work done by brakes = change in kinetic energy

Let the initial speed of the vehicle be v m/s. Then, the initial kinetic energy of the vehicle is:

kinetic energy = (1/2) x 1600 x v²

After the brakes are applied, the final kinetic energy of the vehicle is zero (since the vehicle comes to a stop).

Therefore, the work done by the brakes is equal to the initial kinetic energy:

work done by brakes = (1/2) x 1600 x v²

Given that the work done by the brakes is 90 kJ, we can solve for the initial speed:

90,000 J = (1/2) x 1600 x v²

v² = 112.5

v = √(112.5) = 10.6 m/s

So, the initial speed of the vehicle was 10.6 m/s.

The work required to stop the car:

W = ¹/₂(1600)(15² + 10.6²)

W = 269,888 J = 269.9 kJ

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The number of earths that could fit  inside Jupiter is 6000 where the radius of Jupiter is 71492 km.

Given the volume of a sphere is (V) =[tex](4/3)*\pi*R^3[/tex]

The radius of Jupiter is (RJupiter) = 71492 km

Then the volume of Jupiter is (VJupiter) = [tex](4/3)*\pi*(71492)^3[/tex]

VJupiter = [tex]6.6 * 10^{15} km^3.[/tex]

We know the radius of earth = Re = 6371km

Then the volume of earth (Ve) =[tex]4/3 * \pi * (6371)^3[/tex]

Ve =  [tex]1.08 * 10^{12} km^3.[/tex]

Let the number of earths that could fit inside Jupiter = n

Therefore, n = VJupiter/VEarth

n = [tex]6.6 * 10^{15} km^3/1.08 * 10^{12} km^3 = 6 * 10^3[/tex], = 6,000 Earths.

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Answer:

(D)  the frictional force must be greater than the component of the gravitational force that acts down the ramp

Answer:

both are only physical changes

Explanation:

Physical changes are changes that do not alter the identity of a substance.

The liquid soap is still liquid soap when mixed into water.

The dry ice is still dry ice when it changes state from solid to gas.

The angular speed of the Frisbee is 21.33 rad/s.

What is Angular speed ?

Angular speed is a measure of how fast an object is rotating or moving around a central point or axis. It is a scalar quantity, which is defined as the rate of change of the object's angular displacement over time, expressed in units of radians per second (rad/s).

Angular speed is calculated using the formula:

Angular speed (ω) = Δθ / Δt

The linear speed of the outer edge of the Frisbee is given by:

v = 3.2 m/s

The diameter of the Frisbee is given by:

d = 30 cm = 0.3 m

The radius of the Frisbee is half the diameter:

r = d/2 = 0.15 m

The linear speed of a point on the edge of a rotating object is related to the angular speed by the formula:

v = ωr

where ω is the angular speed in radians per second.

Substituting the given values, we can solve for ω:

ω = v/r

ω = 3.2 m/s / 0.15 m

ω = 21.33 rad/s (rounded to two decimal places)

Therefore, the angular speed of the Frisbee is 21.33 rad/s.

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A 30.0-kg box is being pulled across a carpeted floor by a horizontal force of 230 N , against a friction force of 210 N . The acceleration of the box is 0.667 m/s².

The acceleration of the box can be calculated using the formula:

acceleration = (Net force) / (mass)

The given values in the question are:

mass of the box = 30.0 kg

force applied on the box = 230 N

friction force acting on the box = 210 N

Now, let's calculate the net force acting on the box:

Net force = (force applied) - (friction force)= 230 N - 210 N= 20 N

Thus, the net force acting on the box is 20 N.

Using the formula mentioned above, the acceleration of the box can be calculated as:

acceleration = (Net force) / (mass)

                    = 20 N / 30.0 kg

                    = 0.667 m/s²

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