Question 3
A 2,209 kg car travelling at 31 m/s hits the back of a 1,278 kg car that is travelling 5 m/s slower than the other car. The 2,209 kg
car goes 10 m/s slower than it was going before it hit. Both cars are travelling in the same direction. How fast will the car that got
hit from behind be going after the collision?

Answer:

Explanation:

The mechanical advantage (MA) of a pulley is defined as the ratio of the output force (the force exerted by the pulley system) to the input force (the force applied to the pulley system).

In this case, the input force is 20 N, and the output force (the force needed to lift the box) is 90 N. Therefore, the mechanical advantage of the pulley can be calculated as:

MA = output force / input force

MA = 90 N / 20 N

MA = 4.5

So the mechanical advantage of the pulley is 4.5. This means that for every 1 N of force applied to the pulley system, the pulley system can lift 4.5 N of weight.

The ratio of the output force to the input force is used to calculate the mechanical advantage of a pulley system. In this case, the Mechanical Advantage of the pulley used to lift a 90N box with 20N of force is 4.5.

The Mechanical Advantage (MA) of a machine is calculated by the ratio of output force (the force exerted by the machine) to the input force (the force applied on the machine). In this case, the output force is the weight of the box which is 90N, and the input force is the force required to lift the box which is 20N. Therefore, the mechanical advantage is calculated as MA = Output Force/Input Force = 90N/20N = 4.5. So, the Mechanical Advantage of the pulley system used to lift the box is 4.5.

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(a) The relative velocity of the second car with respect to the first car is -15 m/s.

(b) The relative velocity of the second car with respect to the first car is 95 m/s when they are moving in opposite directions.

When two objects are moving in the same direction, the relative velocity of the second object with respect to the first object is the difference between their velocities:

Relative velocity = Velocity of the second car - Velocity of the first car

Relative velocity = 40 m/s - 55 m/s

Relative velocity = -15 m/s

When the two cars are moving in opposite directions, the relative velocity of the second car with respect to the first car is the sum of their velocities:

Relative velocity = Velocity of the first car + Velocity of the second car

Relative velocity = 55 m/s + 40 m/s

Relative velocity = 95 m/s

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Answer:

(b) is false - a person on the moon would weight about 1/6 of the person's weight on earth - this is due to the smaller gravitational attraction of the person's mass even tho the mass is the same

The statement that is false is "b. weight is a constant no matter where you are located." Statements a, b and c are all true.

This is because weight is a measure of the force of gravity on an object, and the force of gravity varies depending on where you are located.

For example, an object will weigh less on the moon than it does on Earth because the force of gravity is weaker on the moon.

In contrast, mass is a measure of the amount of matter in an object and does not change depending on location.

Therefore, statements "a. weight depends on the force of gravity," "c. mass is a constant no matter where you are located," and "d. mass is the amount of matter in an object" are all true.

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In accordance with Fleming's left-hand rule, the wire tends to travel perpendicular to the plane of the paper upward when the magnetic field is directed from N-pole to S-pole.

Curling your fingers and directing your right thumb in the direction of the wire's current will help you find it. Your fingers will curl in the same direction due to the magnetic field surrounding the wire.

Certain magnetic field characteristics Straight current-carrying conductor lines: Around the conductor, it creates concentric circles. It is situated in a plane parallel to conductor.

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The change in potential energy of the system during this time interval is -648 nJ.

The change in potential energy of a particle with charge q that moves from a point with potential V1 to a point with potential V2 is given by:

ΔPE = q x (V2 - V1)

where q is the charge of the particle, and

V2 and V1 are the potentials at the final and initial positions.

Therefore, the charge of the particle is 18 nC, and it moves from a point with potential V1 = 46 V to a point with potential V2 = 10 V.

Therefore, the change in potential energy is:

ΔPE = q x (V2 - V1) = 18 nC x (10 V - 46 V) = -648 nJ

The negative sign indicates that the potential energy of the particle has decreased, which means that the particle has lost potential energy as it moved from the point with higher potential to the point with lower potential.

Therefore, the change in potential energy of the system during this time interval is -648 nJ

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The mass of the fish is 3 kg.

What is mass?

In physics, mass is a proportion of how much matter is in an item. It is typically estimated in kilograms (kg). Mass is a scalar amount, meaning it just has size and no course.

Mass is unique in relation to weight, which is the force applied to an item because of gravity. Mass is an inherent property of an item and doesn't rely upon its location or environment. Weight, then again, relies upon the gravitational force and can change depending on the location.

rotational equilibrium

(3.5 )(9.8)(L/2) + m(9.8)(L/4) - (5)(9.8)(L/2) = 0

34.3(L/2)+9.8m(L/4)- 49(L/2)=0

34.3(L/2)- 49(L/2)+9.8m(L/4)=0

-14.7(L/2)+9.8m(L/4)=0

-7.35L+2.45mL=0

2.45mL=7.35L

m=7.35L/2.45L

m = 3 kg.

thus mass of the fish is 3 kg.

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A THR (Total Home Run) is a statistic that measures the total number of home runs a baseball player has hit during a season or career. It is calculated by adding up all of the home runs a player has hit in a season.

Statistic is a branch of mathematics which deals with the collection, analysis and interpretation of numerical data. It is used to help make inferences and decisions about a population by studying a sample of that population. It is a way to summarize the information and draw conclusions about the population based on the sample data. Statisticians use various techniques such as data mining, hypothesis testing and regression analysis to draw meaningful conclusions from the data.

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Answer:

It could either be b, or d, Your choice! (hint: I know the answer but pick one)

The colors of the rainbow are red, orange, yellow, green, blue, indigo, and violet, thus B, R is really the correct sequence since B is BLACK, BLUE, BROWN, R is RED, and Y is their hue.

What letter comes first in number order for each color?

The mnemonic scheme ROYGBIV, whereby each character stands for the initial letter of both the primary colours, is the most effective approach to recall the rainbow's color sequence. As example, R stands for red, O for orange, Y for yellow, etc.

The color wheel depicts every hue that may be seen. It is the accepted method for perceiving and comprehending color schemes. The first color wheel was made by Sir Isaac Newton in 1666, and it was arranged in the order of the hues that can be seen in the spectrum of light that is visible (red, orange, yellow, green, blues, indigo, and violet).

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The frequency you will hear when you are approaching a stationary source of sound at 20 m/s is 537 Hz.

What is the fundamental frequency of sound?

The fundamental frequency of sound is the lowest frequency produced by a vibrating object or sound source.

What is the speed of sound? The speed of sound is the distance covered by a sound wave per unit of time.

The given values are as follows:

frequency of sound = 500 Hz

speed of sound = 340 m/s

velocity of the observer = 20 m/s

Formula to find the frequency heard by the observer

The formula for finding the frequency of a sound wave observed by a moving observer is:

[tex]f\prime = \frac{f \times (v + v_o)}{(v - v_S)}[/tex]

Where, f' is the frequency observed

v is the speed of sound

f is the frequency of the sound source

[tex]v_S[/tex] is the velocity of the sound source

v₀ is the velocity of the observer

Substituting the given values into the above formula, f' = [tex]\frac{500 \times (340 + 20)}{(340 - 20)}

Hence, f' = 537 Hz

Therefore, when you are approaching the source of sound at 20 m/s, you will hear a frequency of 537 Hz.

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Answer:

I think it's moving towards the reference point

The figure skater increases the speed of her spin to 10 revolutions per second by drawing her arms inside.

The speed of the skater's spin drops by a factor of two as she spreads her arms out in front of her, doubling the moment of inertia. She dramatically reduces her inertia moment while folding her wrists in, resulting in a considerable increase in rotational velocity.

When does a speedskater reach a point of inertia?

During skating, the skater's mass is measured in terms of how far it extends from the axis around the direction that he or herself is spinning. This is known as the inertia moment, or moment of inertia The magnitude of its moment of inertia increases with distance from the axis. The force required to halt a moving item is measured by momentum.  

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Therefore, the components of vector M are approximately Mx = 3.98 and My = 3.02.

How to calculate vector of components ?

The vector M has a magnitude of 5.0 and a direction of 37.0° with respect to the x-axis, as seen in the attached figure.

The cosine of the angle between vector M and the x-axis can be used to determine the x-component of vector M:

Mx = 5.0 cos(37.0°) 3.98, where Mx = M cos(37.0°)

The sine of the angle between vector M and the x-axis can be used to calculate the y-component of vector M:

M sin(37.0°) = 5.0 sin(37.0°) 3.02; My = M sin(37.0°)

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Answer:

The six steps of the scientific method include: 1) asking a question about something you observe, 2) doing background research to learn what is already known about the topic, 3) constructing a hypothesis, 4) experimenting to test the hypothesis, 5) analyzing the data from the experiment and drawing conclusions, and 6) communicating the results to others.

A cross-sectional area of the wire could conduct 2.00 C of charge in 400 seconds.

The amount of charge moving through a cross-section of a circuit in a certain amount of time is known as current. The ampere's definition is The ampere is the commonly used current unit in mathematics (abbreviated Amp or A).

We can use the formula: Q = I * t

Q stands for charge, I for current, and t for time. To solve for t, we obtain: t = Q / I

By entering the specified values, we obtain:

t = 2.00 C / 5.00 mA

To preserve consistent units, we must convert milliamperes (mA) to amperes (A). To accomplish this, divide by 1000., since 1 mA = 0.001 A.

Thus: t = 2.00 C / (5.00 mA / 1000)

Simplifying, we get:

t = 2.00 C / 0.005 A

t = 400 s

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If the pressure in the pipe is 8940 n/m° and in the constricted section is 6705 n/m,  the rate at which oil is flowing through the pipe is 2.74 m^3/s.

The volume flow rate (Q) can be expressed as:

Q = Av

We can use the continuity equation to relate the velocities at the two different cross-sectional areas:

A1v1 = A2v2

Where:A1 and A2 are the cross-sectional areas at the two different points in the pipe

v1 and v2 are the fluid velocities at the two different points in the pipe

We can rearrange this equation to solve for v1 in terms of v2:

v1 = (A2/A1) * v2

Now we can use Bernoulli's equation to relate the pressure and velocity at the two different points in the pipe:

P1 + (1/2)ρv1^2 = P2 + (1/2)ρv2^2

We can rearrange this equation to solve for v2:

v2 = sqrt(2(P1 - P2) / ρ + v1^2)

Now we can plug in the given values to find v2:

v1 = ?

A1 = (π/4)(0.945 m)^2 = 0.664 m^2

A2 = (π/4)(0.567 m)^2 = 0.100 m^2

ρ = 821 kg/m^3

P1 = 8940 N/m^2

P2 = 6705 N/m^2

v2 = sqrt(2(8940 - 6705) / 821 + ((0.100/0.664) * v1)^2)

We can simplify this equation by assuming that the velocity at the wider section of the pipe (v1) is much smaller than the velocity at the constriction (v2), due to the principle of continuity. Therefore, we can neglect the second term in the equation, giving:

v2 = sqrt(2(8940 - 6705) / 821) = 11.98 m/s

Now we can use the continuity equation to find the volume flow rate:

Q = A1v1 = A2v2 = (π/4)(0.945 m)^2 * 11.98 m/s =2.74 m^3/s

Therefore, the rate at which oil is flowing through the pipe is 2.74 m^3/s.

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The puck must rotate with a speed of 3.44 m/s to keep the hanging block at rest.

To keep the hanging block at rest, the tension in the string must be equal to the weight of the block. We can start by finding the tension in the string using the weight of the hanging block:

T = mg = (1.20 kg)(9.81 m/s^2) = 11.77 N

The tension in the string provides the centripetal force that keeps the puck moving in a circle. The centripetal force is given by:

F = ma = m(v^2/r)

where m is the mass of the puck, v is its speed, r is the radius of the circle, and a is the centripetal acceleration.

Solving for v, we get:

v = sqrt(ra) = sqrt(r(T/m)) = sqrt((0.40 m) × (11.77 N)/(0.20 kg)) = 3.44 m/s

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Its average separation from of the Sun is 6.1 AU, or (225/3)AU.

When the period (P) is written in years and the orbital radius (a) is represented in light years away (1 AU is the arithmetic mean between the Sun and the planet Earth), Kepler's Third Law states that P2 = a3. where P is measured in Earth years, an is measured in astronomical units, and M is the centre object's mass expressed in Sun-mass units.

As seen from it above Middle Latitudes, the Earth circles the Sun at an arithmetic mean of 149.60 million kilometres (92.96 million miles), anticlockwise. One axial tilt year, or 365.249 days, is needed to complete one orbit, during which duration Earth has travelled 940 million kilometres (584 million mi).

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We are unable to directly determine the work performed by the engine because the distance over which the force acts is unknown.

This indicates that the effort expended to increase the car's speed will be equivalent to the change in kinetic energy of the vehicle. Thus, 30 kJ of effort must be performed.

The work W is equal to the force f times the distance d, or W = fd, to mathematically describe this idea.

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Mike and Debra both have linear production possibilities frontiers (PPF), which show the maximum amount of two goods that can be produced given their resources and technology. However, their PPFs are different because they have different maximum production levels for trucks and computers.

Mike's PPF shows that he can produce a maximum of 10 million trucks or 10 million computers. This means that if he allocates all of his resources to producing trucks, he can produce 10 million of them, and if he allocates all of his resources to producing computers, he can produce 10 million of them. Debra's PPF, on the other hand, shows that she can produce a maximum of 9 million trucks or 3 million computers. This means that if she allocates all of her resources to producing trucks, she can produce 9 million of them, and if she allocates all of her resources to producing computers, she can produce 3 million of them.

Overall, Mike and Debra's PPFs show the trade-offs they face when deciding how to allocate their resources between producing trucks and computers. They must decide how much of each good to produce in order to maximize their production and meet their needs.

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The bending of light as it passes from one medium to another is governed by Snell's law, which depends on the indices of refraction of the two media and the angle of incidence

The bending of light as it travels from one medium to another is described by Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the indices of refraction of the two media:

n1 sin(theta1) = n2 sin(theta2)

where n1 and n2 are the indices of refraction of the two media, theta1 is the angle of incidence (the angle between the incident ray and the normal to the interface between the two media), and theta2 is the angle of refraction (the angle between the refracted ray and the normal).

The index of refraction of a medium is a measure of how much the speed of light is reduced when it travels through that medium compared to its speed in a vacuum.

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Answer: They both will go out

Explanation:

The maximum angular speed of the turntable to avoid slipping is option (2), √(µg/x).

The maximum angular speed of the turntable can be found by equating the centrifugal force with the frictional force acting on the block.

At maximum angular speed, the centrifugal force acting on the block is given by F = mRω², where R = x is the distance of the block from the center and ω is the angular speed of the turntable.

The frictional force acting on the block is f = µN, where N is the normal force on the block.

At maximum angular speed, the normal force N is equal to the weight of the block, N = mg.

Equating the centrifugal force and the frictional force:

mRω² = µN

mRω² = µmg

ω² = µg/R

ω = √(µg/R)

Substituting R = x:

ω = √(µg/x)

Therefore, the maximum angular speed of the turntable so that the block does not slip is given by √(µg/x).

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Energy transfer is the movement of energy from one location to another. ... Energy transformation is when energy changes from one form to another – like in a hydroelectric dam that transforms the kinetic energy of water into electrical energy.

Energy transfer in physics refers to the movement of energy from one object or system to another. Energy can take various forms such as kinetic energy, potential energy, thermal energy, electromagnetic radiation, and chemical energy, among others. The transfer of energy can occur through different mechanisms such as work, heat, and radiation.

Work is the transfer of energy that occurs when a force acts on an object and causes it to move a certain distance. Heat transfer is the flow of energy from a hotter object to a cooler object, driven by a temperature difference between the two objects. Radiation is the transfer of energy in the form of electromagnetic waves or particles. Energy transfer is a fundamental concept in physics as it governs many natural phenomena such as heat flow, electrical power generation, and energy conversion in machines.

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The best description of Jodi's error is "The electrons move from areas of low to high electric potential." because the electrons actually move from areas of high to low electric potential. thus option 2 is the answer.

Jodi's error is in statement 2, which says that electrons move from areas of low to high electric potential. In reality, electrons move from areas of high to low electric potential. This is because electric potential represents the energy per unit charge, and electrons are negatively charged particles that naturally move from higher energy levels to lower ones. The direction of electron flow determines the direction of electric current, which is the flow of electric charge. The other statements on Jodi's list are generally correct, including the fact that voltage (or potential difference) is what drives current flow, and that current is measured in amperes.

However, it's important to note that the movement of electrons in a current is not always continuous, as they can be impeded by resistance, which causes them to lose energy and generate heat.

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The correct question Is:

Jodi made a list about electric current to help her study for a test.

1) Movement of electrons is continuous in a current.

2) Electrons move from areas of low to high electric potential.

3) Voltage causes current to flow.

4) Rate at which current flows are measured in amperes.

Which best describes Jodi’s error?

The movement of electrons is not always continuous.

Electrons move from areas of high to low electric potential.

Resistance causes current to flow.

The rate at which current flows is measured in ohms.

The speed of the particle at t = 0 s is 9.00 m/s. The position of the particle at t = 0 s is -16.00 m.

The position, velocity, and speed of the particle at the time t = 0 s can be determined by substituting t = 0 into the given expression for x(t) and taking the first and second derivatives of x(t) with respect to time.

(a) Position at t = 0 s:
x(t) = b + c(t - 2 s)
x(t = 0) = 2.00 m + 9.00 m/s(0 - 2 s)
x(t = 0) = 2.00 m - 18.00 m
x(t = 0) = -16.00 m

(b) Velocity at t = 0 s:
v(t) = dx/dt = c
v(t = 0) = 9.00 m/s
The velocity of the particle at t = 0 s is 9.00 m/s.

(c) Speed at t = 0 s:
The speed of the particle is the absolute value of the velocity, so:
v(t = 0) = |9.00 m/s| = 9.00 m/s

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A simple machine is that a complex machine is made up of multiple simple machines that work together to perform a complex task.

One example of a complex machine is a car. A car is a complex machine because it consists of many simple machines that work together to perform a complex task. The simple machines in a car include the wheel and axle, pulleys, gears, levers, and inclined planes.

The engine in a car is a complex machine that converts the chemical energy of gasoline into the kinetic energy needed to move the car. The engine is made up of many simple machines, including pistons, cylinders, valves, and crankshafts. The transmission is another complex machine in a car that uses gears and levers to transfer power from the engine to the wheels.

Other components of a car, such as the steering system, brakes, and suspension, are also complex machines that use multiple simple machines to perform their functions.

What distinguishes a complex machine from a simple machine is that a complex machine is made up of multiple simple machines that work together to perform a complex task. In contrast, a simple machine performs a single task using only one or two basic mechanisms, such as the lever or the inclined plane.

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The proper order of the net forces is A, B, and C in decreasing order of magnitude.

Let's consider the net electrostatic force that each charge experiences due to the other two charges:

Charge A experiences a force towards the right due to the repulsion with Charge B, and towards the left due to the attraction with Charge C. As both charges are of the same magnitude, these two forces cancel each other out, and there is no net force on Charge A.

Charge B experiences an attraction towards the left due to Charge A, and a repulsion towards the right due to Charge C. As both charges are of the same magnitude, these two forces cancel each other out, and there is no net force on Charge B.

Charge C experiences a force towards the left due to the attraction with Charge B, and towards the right due to the repulsion with Charge A. As both charges are of the same magnitude, these two forces cancel each other out, and there is no net force on Charge C.

Therefore, the correct ranking of the net forces in descending order of magnitude is: A, B, C.

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When two capacitors 22 μF and 64 μF are connected to a 100-V source, the energy stored in each capacitor is different depending on whether the capacitors are connected in parallel or in series. When connected in parallel, the energy stored in each capacitor is 0.0022 mJ and 0.0064 mJ respectively. When connected in series, the energy stored in each capacitor is also 0.0022 mJ and 0.0064 mJ respectively.  

To answer the question of finding the energy stored in two capacitors 22 μF and 64 μF when connected to a 100-V source, first we need to determine if the capacitors are connected in parallel or series. When two capacitors are connected in parallel, the total capacitance is the sum of the individual capacitances.

Therefore, for two capacitors 22 μF and 64 μF connected in parallel, the total capacitance is 86 μF. The energy stored in each capacitor can be found using the formula W = ½CV2, where C is the capacitance and V is the voltage. For the 22 μF capacitor, W22 = 0.5 * 22 * 10-6 * (100)2 = 0.0022 mJ. Similarly, for the 64 μF capacitor, W64 = 0.5 * 64 * 10-6 * (100)2 = 0.0064 mJ.

When two capacitors are connected in series, the total capacitance is the reciprocal of the sum of the reciprocals of the individual capacitances. Therefore, for two capacitors 22 μF and 64 μF connected in series, the total capacitance is 4.3 μF.

The energy stored in each capacitor can be found using the same formula W = ½CV2. For the 22 μF capacitor, W22 = 0.5 * 22 * 10-6 * (100)2 = 0.0022 mJ. Similarly, for the 64 μF capacitor, W64 = 0.5 * 64 * 10-6 * (100)2 = 0.0064 mJ.

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For the 4-volt, 0.5-watt lamp to receive the proper power, R1 should be 48 ohms.

To find the required resistance of R1, we need to use Ohm's law, which states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R), i.e., I = V/R.

First, we need to determine the current that the lamp requires. The power (P) of the lamp is given by P = IV, where I is the current flowing through it, and V is its voltage rating. We know that the power of the lamp is 0.5 watts and its voltage rating is 4 volts. Substituting these values, we get:

0.5 = I * 4

Solving for I, we get:

I = 0.5/4 = 0.125 amps

Now, we can use the current value to determine the resistance of R1 using Ohm's law. We know that the voltage drop across R1 is 6 volts (the total voltage of the battery minus the voltage of the lamp). Substituting the values of I and V into the formula, we get:

R1 = V/I = 6/0.125 = 48 ohms

Therefore, R1 should be 48 ohms to supply the correct current to the 4-volt, 0.5-watt lamp.

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