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Two objects, m1 and m2, have an elastic collision. The initial velocity of m1 is +6.0 m/s and of m2 is +4.0
m/s. After the collision, the velocity of m1 is +5.0m/s. What is the velocity of m2?

The orbital velocity, if Ingenuity is on the surface of Mars is 3549.67 m/s

Orbital velocity is also called as critical velocity. It is minimum velocity must be given to the satellite or the body, so that it can revolve around the planet. i.e. orbital velocity is minimum velocity of body to revolve in stable orbit around a planet.

Orbital velocity is given by,

[tex]v_{c} =\sqrt{\frac{GM}{R+h}}[/tex] where  G = Gravitational constant (6.673×10⁻¹¹ Nm²/kg²)

                                M = Mass of the planet

                                R = Radius of the planet

                                 h = height of the object(satellite)

Orbital velocity depends on mass of the planet, radius of the planet and height of the object(satellite). It is independent of mass of the body(satellite).

Given,

M = 6.42×10²³ kg

R= 3.4×10⁶ m

h= 0 m (our body is on surface of the mars so)

Putting these values in the equation.

[tex]v_{c} =\sqrt{\frac{GM}{R}}[/tex] = [tex]\sqrt{\frac{(6.673*10^{-11}) (6.42*10^{23}) }{3.4*10^{6}}}[/tex]

[tex]V_{c}[/tex]= 3549.67 m/s

Hence Orbital velocity of Ingenuity on the surface of Mars 3549.67 m/s

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At this moment, the block will start to speed to the left as the spring starts to apply force on it.

The definition of force in physics is: The press or pull on a massed object changes its velocity. An agent with the ability to change a body's resting or active condition is known as an external force.

The word "power" has a specific meaning in physics. Calling a force at this point a pressing or a pull is perfectly appropriate. A force does not "be in it" or "be contained by" an object. One thing experiences a force from another. Both biological things and inanimate objects can be considered forces.

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Answer:

30,000kg m/s²

Explanation:

Force=mass ×acceleration

Acceleration = Change in Velocity /time

Acceleration =V2-V1/T

Acceleration= 30-15/2

Acceleration =15/2

=7.5m/s²

Force = 4000kg × 7.5m/s²

=30,000kgm/s²

You can also place the answer in Newton (N)

A weight lifter does 1700.44 Joules of work to lift the barbell from the floor to a height of 9.90 meters.

To calculate the work done by the weightlifter, we need to use the formula:

Work = force x distance x cos(theta)

where force is the weight of the barbell, distance is the height it is lifted, and theta is the angle between the force and the direction of motion. Since the weightlifter is lifting the barbell straight up, theta is 0 degrees and cos(theta) is 1.

So, we have:

Work = 171.60 N x 9.90 m x 1

Work = 1700.44 Joules

Therefore, the weightlifter does 1700.44 Joules of work to lift the barbell from the floor to a height of 9.90 meters.

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The breaking force, given that the truck reduces it speed from 12 m/s to 6 m/s over a distance of 40 m is -2700 N

We'll begin by obtaining the deceleration of the truck. Details below:

v² = u² + 2as

6² = 12² + (2 × a × 40)

36 = 144 + 80a

Collect like terms

36 - 144 = 80a

-108 = 80

Divide both side by 80

a = -108 / 80

a = -1.35 m/s²

Finally, we shall determine the breaking force. Details below:

Force = mass × deceleration

Breaking force = 2000 × -1.35

Breaking force = -2700 N

Thus, the breaking force is -2700 N

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Sue provided 40 watts of power to complete the work in 6 seconds.

Power is the rate at which work is done, or the amount of work done per unit time. It is a measure of how quickly energy is transferred or transformed from one form to another. Since Sue completed the work in 6 seconds, we can calculate her power using the formula,

Power = Work / Time

From question #1, we know that the work done by Sue was 240 J. And the time taken to complete the work was 6 seconds. Substituting these values in the above formula,

Power = Work / Time

Power = 240 J / 6 s

Power = 40 watts

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Answer:

Its D

Explanation:

just did It :)

The spring constant k is approximately 1520 N/m by using conservation of energy?

We can use the conservation of energy to find the spring constant k. Initially, the block has potential energy stored in the compressed spring, which is then converted to kinetic energy as the block slides across the track. At the point where the block leaves the track, all of the stored energy has been converted to kinetic energy. Neglecting air resistance, we can assume that the kinetic energy of the block at this point is equal to the potential energy stored in the spring:

[tex](1/2)kx² = (1/2)mv²[/tex]

where x is the distance the spring is compressed (0.049 m), m is the mass of the block, and v is the velocity of the block when it leaves the track.

Since the block is initially at rest, we can also use kinematic equations to relate the velocity of the block to the distance it travels along the track before leaving it. The horizontal displacement of the block is unknown, so we'll call it d:

d = (1/2)at²

where a is the acceleration of the block along the track and t is the time it takes to travel that distance. The acceleration of the block is determined by the force applied by the spring:

F = kx

ma = kx

a = kx/m

Now we can substitute this expression for acceleration into the kinematic equation:

[tex]d = (1/2)(kx/m)t[/tex]²

Since the block leaves the track horizontally, its vertical displacement is given by:

y = (1/2)gt²

where g is the acceleration due to gravity.

Combining these equations, we can eliminate t and solve for k:

[tex](k/m)(0.049)² = g(2y/g)(2d/(k/mg))²[/tex]

Simplifying, we get:

[tex]k = (mg²d)/(0.049²(4y + gd))[/tex]

Substituting the given values for m, d, and y, and the acceleration due to gravity g = 9.81 m/s², we get:

[tex]k = (0.4 kg)(9.81 m/s²)²(2.3 m)/[(0.049 m)²(4(0.8 m) + (9.81 m/s²)(2.3 m))][/tex]

k ≈ 1520 N/m

Therefore, the spring constant k is approximately 1520 N/m.

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Mallory pushes her water bottle of 1. 70 kg to the side. She applies a force of 108. 20 N to the right. If the bottle accelerates at 8. 79 m/s2, the coefficient of friction is 5.5 .

The friction coefficient is the ratio of the normal force pressing two surfaces together to the frictional force preventing motion between them. Typically, it is represented by the Greek letter mu (μ). In terms of math, is equal to [tex]\frac{F}{N}[/tex], where F stands for frictional force and N for normal force. The coefficient of friction has no dimensions because both F and N are measured in units of force (such as newtons ). For both static and kinetic friction, the coefficient of friction has a range of values. When an object experiences static friction, the frictional force resists any applied force, causing the object to stay at rest until the static frictional force is removed. The frictional force opposes an object's motion in kinetic friction.

According to the equation,

F - f = ma

where,

F is force applied,

f is friction between surfaces,

m is the mass of the water bottle and,

a is the acceleration.

Substituting the values and solving for f,

f = F - ma

f = 108.20 - 14.9

f = 93.3 N

f = μN

where,

μ is the coefficient of friction and,

N is the normal reaction.

substituting the values and solving for μ,

coefficient of friction = 5.5

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The function has a y intercept at 10 and the function approaches 10 as x approaches infinity.

The correct answers are A and C.

A function is a mathematical rule that assigns a unique output (dependent variable) for every input (independent variable). In other words, a function is a relationship between two or more variables where each input has exactly one output. The output value depends on the input value and the rule that governs the relationship between them. A function can be represented as a graph, table, or formula.

From the given question above;

A. The function has a y intercept at 10 because when the mass is 0, the length of the spring is 10 inches.

C. The function approaches 10 as x (mass) approaches infinity because the length of the spring will increase as the mass increases.

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Answer:

To calculate the moving energy, we can use the formula:

Em = (1/2) * m * v^2

where: m = mass of the object v = velocity of the object

First, we need to convert the velocity from kilometers per hour (km/h) to meters per second (m/s), since the formula requires the velocity to be in m/s:

v = 90 km/h = 25 m/s (approximately, since 1 km/h = 0.27777778 m/s)

Now, we can plug in the values into the formula:

Em = (1/2) * m * v^2 Em = (1/2) * 300 kg * (25 m/s)^2 Em = 281,250 J

Therefore, the moving energy of the object is approximately 281,250 Joules.

The power the force developed in pushing the box up the ramp is 2759.009 watts

Power is simply defined as the rate at which work is done. It can be expressed mathematically as

Power (P) = work (W) / time (t)

But

Work = force (F) × distance (d)

Therefore,

P = Fd / t

But

velocity (v) = distance (d) / time (t)

Thus,

Power = force (F) × velocity (v)

With the above formula, we can obtain the power developed by the force. Details below:  

Power = force (F) × velocity (v)

Power = 1283.26 × 2.15

Power = 2759.009 watts

Thus, the power is 2759.009 watts

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The helicopter generates 29,400 Joule of work. If a helicopter is using two individuals to take them out of the water, the helicopter will hoist the two people, who together weigh 150 kg, 20 meters in the air.

The definition of work done includes both the forces that were used by the body and also the overall displacement of both the body. A constant total Force is present before to this block. The goal of this force seems to be to propel the body d meters in a straight line in the force's direction.

When a weight is applied across a distance to an item, work is accomplished. This implies that the total energy of an item will be impacted when a push is given to it across a distance.

Work = Force x Distance

         = 150 kg x [tex]9.8 m/s^{2}[/tex] x 20 m

         = 29,400 J

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Answer:

Federal Educational Policy: Every Student Succeeds Act (ESSA)

Resources:

1. Every Student Succeeds Act (ESSA): https://www.ed.gov/essa

2. What is the Every Student Succeeds Act (ESSA)?: https://www.edweek.org/ew/section/multimedia/what-is-the-every-student-succeeds-act-essa.html

3. ESSA Overview: https://www2.ed.gov/policy/elsec/leg/essa/overview.html

Poster:

Title: The Every Student Succeeds Act (ESSA)

The Every Student Succeeds Act (ESSA) is a federal educational policy that was signed into law in 2015. It replaces the No Child Left Behind Act and is designed to provide states with more flexibility in how they use federal funds to improve student outcomes.

Here are three of the most important points of ESSA:

1. States have more control over how they use federal funds to improve student outcomes, such as increasing access to high-quality early childhood education and providing more support for struggling schools.

2. ESSA requires states to set challenging academic standards and measure student progress in order to ensure that all students are meeting those standards.

3. ESSA also requires states to provide more support for traditionally underserved students, such as English language learners and students with disabilities, in order to close achievement gaps and ensure that all students have access to a high-quality education.

Explanation:

(C) Less current leaves a resistor than enters it, so the voltage must go down as well.

Materials that are poor conductors of electricity are called insulators. Wood, glass, plastics, and non-metal elements made of hydrocarbon polymers are among the examples. As electricity cannot pass through these materials.A poor conductor is a material for which conductivity is low, yet sufficient to exhibit significant loss. To be clear, the loss we refer to here is the conversion of the electric field to current through Ohm's law. The threshold of significance depends on the application.Conductors conduct electrical current very easily because of their free electrons. Insulators oppose electrical current and make poor conductors.

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To solve this problem, we need to use trigonometry to break the initial velocity vector into its x and y components.

What is Velocity?

Velocity is a vector quantity that describes the rate at which an object changes its position. It is defined as the displacement of an object per unit time in a particular direction.

In other words, velocity is the speed of an object in a given direction. It is a vector quantity because it has both magnitude (the speed) and direction.

The initial velocity vector can be represented as follows:

v = 15.8 m/s [19.5° above horizontal]

The x-component (vx) of the velocity vector can be found using the cosine function:

cos(19.5°) = vx / 15.8 m/s

vx = 15.8 m/s cos(19.5°) = 14.9 m/s

The y-component (vy) of the velocity vector can be found using the sine function:

sin(19.5°) = vy / 15.8 m/s

vy = 15.8 m/s sin(19.5°) = 5.25 m/s

When the water balloon strikes the ground, its y-velocity component will be zero because it will have reached the ground level. Therefore, the components of the velocity vector right before the balloon strikes the ground are:

vx = 14.9 m/s [to the right]

vy = 5.25 m/s [upward]

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The method of heat transmission from engine to the person is through radiation.

Heat is a form of energy which is transferred between bodies having different temperature.

Here,

The person near to the engine feels very warm in a moving bus. This is because of the heat transfer from the engine to the person. Here the two bodies, the person and engine are not in contact and also there is no other medium to transfer the heat between them. So, the heat is transferred from the engine to the person through radiation.

Hence,

The method of heat transmission from engine to the person is through radiation.

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Cell wall of bacteria is involved in dissolving penicillin. So, the correct option is B.

The bacterial cell wall is composed of peptidoglycan which is an essential protective barrier for bacterial cells that surrounds the cytoplasmic membrane of both types of bacteria such as gram-positive and gram-negative bacterial cells.

Peptidoglycan is defined as a rigid, highly conserved, complex structure of polymeric carbohydrates and amino acids. Cell wall of bacteria is involved in dissolving penicillin.

So, the correct option is B.

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Answer:

C.

Explanation:

c. the source is written by the person who conducted the experiment. A primary source is an original piece of information created at the time under study. It can be a diary, a letter, a photograph, a recording, or any other type of artifact. It provides firsthand information about an event or topic, and is created by a person who was directly involved or witnessed it.

Reduce damage to the passenger compartment by changing the point of impact in a side-impact crash to your engine compartment or rear end. Steer clear of the approaching car as long as it doesn't indicate any other dangers, such as a precipice or incoming traffic.

Young neutered male cattle grown primarily for beef are called steers, also known as bullocks. In terms of the sex and age of cattle, the male begins as a bull calf and develops into a bull if left uncastrated; if castrated, he becomes a steer and in two to three years matures into an ox.

To make them more docile on the range or in feedlots, males kept for beef production are typically castrated. Castration is used to make males more manageable at the labor when they are meant to be used as working oxen or bullocks. See also farmed livestock, cattle, cows, and livestock.

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Answer:

The 8.0 kg cart's direction is going towards the right, and its speed is 0.50 m/s.

Explanation:

First the 8.0 kg cart is double of the other. Then the speed of the 8.0 cart 1.5 m/s slower than the other. Then after the collision the 4.0 kg cart goes half its old m/s ( 6 m/s --> 3 m/s ). Put on a diagram, refer to the picture ( sorry about my handwriting ).

Then it will be a total of 0.50 m/s.

The force between charges becomes 2.5 N, if the distance between them is doubled. Option d is the correct choice.

The force between two charged objects is inversely proportional to the square of the distance between them. This means that if the distance between the objects is doubled, the force between them will be reduced to one-fourth (1/2^2) of its original value.

Since the initial force between the objects is 10 N, if the distance between them is doubled, the force between them will become,

10 N / 2^2 = 2.5 N\

Therefore, the correct answer is (d) 2.5 N.

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--Two charged objects have an attractive force of 10 N. If the distance between them is doubled, the force between them is :

a. 40 N

b. 20 N

c. 5 N

d. 2.5 N--

Answer:

If hydropower were to be our primary way for generating electricity, it would have several effects on individuals and the environment, both positive and negative. Here are some examples:

Positive effects:

Hydropower is a renewable energy source, meaning that it does not produce greenhouse gas emissions and does not contribute to climate change.

Hydropower can provide a stable and reliable source of electricity, as water can be stored in reservoirs and released when needed to generate electricity.

Hydropower can create jobs in construction, maintenance, and operation of hydroelectric power plants.

Negative effects:

The construction of large dams for hydropower generation can have significant impacts on ecosystems and communities. For example, it can disrupt the natural flow of rivers and waterways, causing changes in water temperature, sediment transport, and dissolved oxygen levels, which can harm aquatic habitats and species. It can also lead to the displacement of communities living in the area.

Dams can cause soil erosion, which can lead to the buildup of sediment in rivers and reservoirs, reducing their capacity and lifespan.

The construction of dams and reservoirs can also result in the loss of productive agricultural land and natural habitats.

In areas where water resources are scarce, the use of large amounts of water for hydropower generation can compete with other uses such as agriculture, drinking water supply, and ecosystems.

Overall, the impact of hydropower as a primary source of electricity would depend on the specific location, design, and management of hydroelectric power plants. Proper planning, environmental impact assessments, and community engagement are necessary to minimize negative impacts and maximize benefits.

Explanation:

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It will take the ball 1 s to drop to the ground

The distance from the launch point where the ball will strike the ground would be 16.0 m.

We can use the kinematic equations of motion to solve this problem. The vertical motion of the ball can be described using the equation:

h = vit + 1/2g*t^2

where h is the initial height, vi is the initial vertical velocity (which is zero), g is the acceleration due to gravity (9.8 m/s^2), and t is the time taken to fall to the ground. Solving for t, we get:

t = sqrt(2h/g) = sqrt(2*4.91 m/9.8 m/s^2) = 1 s

The horizontal motion of the ball is uniform, since there is no horizontal acceleration. We can use the equation:

d = v*t

where d is the distance traveled, v is the initial horizontal velocity (which is 16.0 m/s), and t is the time taken to hit the ground (which is 1 s). Solving for d, we get:

d = v*t = 16.0 m/s * 1 s = 16.0 m

So the ball will strike the ground 16.0 meters away from the launch point, measured horizontally.

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The total binding energy of the apple is 1,000,000 Joules. Out of these much energy, 550,000 Joules of binding energy are wasted during digestion. Then, 450000 J or binding energy remains.

Binding energy of an object is the minimum energy required to break a chemical bond in a compound or the bonds between the particles of a system.

The binding energy of a substance depends on the bond type, presence of any impurities, temperature, phase of the substance etc. Given the binding energy of the apple is 1,000,000 Joules.

The energy wasted during digestion = 550,000 Joules

then the remaining energy = total energy - wasted energy

                                             = 1,000,000 Joules - 550,000 Joules

                                             =  450000 J.

Therefore, the energy remains in the person is 450000 J.

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The momentum of the baseball will be "4.20 kg.m/s".

Given values are:

Mass,

Velocity,

As we know the formula,

→ [tex]Momentum=Mass*Velocity[/tex]

or,

→                 [tex]P=mv[/tex]

By substituting the given values, we get

→                     [tex]=0.14*30[/tex]

→                     [tex]=4.20[/tex] [tex]kg.m/s[/tex]

Thus the above answer is correct.

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Answer The force is multiplied times 9

Explanation: