estion 7 of 12
Macmillan Learning
A fox locates rodents under the snow by the slight sounds they make. The fox then leaps straight into the air and burrows its
nose into the snow to catch its meal. If a fox jumps up to a height of 91 cm, calculate the speed at which the fox leaves the snow
and the amount of time the fox is in the air. Ignore air resistance.

Estion 7 Of 12Macmillan LearningA Fox Locates Rodents Under The Snow By The Slight Sounds They Make.

Answers

Answer 1

The fox spends 0.91 seconds in the air after leaving the snow at a speed of 3.84 m/s.

which the fox leaves the snow and the amount of time the fox is in the air?

h = 91 cm = 0.91 m is provided.

Locate: vi, t

We may apply the formulae v = vi - 9.81 t and y = vi t - 4.905 t2.

There is a further fact that we are aware of. The fox has zero velocity at height h, the highest point of the jump:

0.91 = vi tp - 4.905 tp2 where 0 = vi - 9.81 tp

There are now two equations and two unknowns remaining. The starting velocity, vi, may be solved for.

vi = 9.81 tp - 4.905 tp2 - 9.81 tp2 - 4.905 tp2 tp = 0.391 seconds

vi=9.81 tp=3.84 m/s.

That is one response. Applying the second equation once more:

t = 3.84 t - 4.905 t2 0 = t = y = vi t - 4.905 t2 0 (3.84 - 4.905 t)

t = 0, 0.91 s

The fox spends 0.91 seconds in the air after leaving the snow at a speed of 3.84 m/s.

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Related Questions

A woman carries a pitcher of water across a level surface with a constant speed. assume the pitcher has a mass of 10 gk and the woman walks 65 m. How much work has the girl done?

Answers

Work is the energy that is transferred when a force is applied to a moving object. the girl done 650.

What is work?The energy transfer, Work is the energy that is transferred when a force is applied to a moving object. The amount of force multiplied by the amount of displacement multiplied by the cosine of the angle between them results in the work that a force produces on an item.Work is defined as the energy that is applied to or removed from an item by applying force along a displacement. For a constant force acting in the same direction as the motion, the work is simply equal to the product of the force's magnitude and the distance traveled.

Work = Force X displacement

so,

10 * 65m.

650

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The demand for the lighting of a small village is 50 A at 200 V. This is supplied from a dynamo
of a distance station. The generated voltage being 220 V. Compute the following:
B2.1 Resistance of the leads from the dynamo to the village
B2.2 The number of units of energy (kwh) consumed in 10 hours in the village
B2.3 The number of units of energy (kwh) wasted in the leads in the same time
B2.4 Draw the equivalent circuit of the power suppl

Answers

(1) The resistance of the leads from the dynamo to the village is 4.4 ohms.

(2) The number of units of energy consumed in 10 hours in the village is 100 kWh.

(3) The unit of energy wasted in the leads in the same time is 11 kWh.

What is the resistance of the circuit?

The resistance of the leads from the dynamo to the village is calculated by applying the following formula.

V = IR

R = V / I

where;

V is the voltage suppliedI is the current

R = ( 220 V ) / ( 50 A )

R = 4.4 ohms

The unit of energy consumed in 10 hours is calculated as follows;

P = IV

P = 50 x 200

P = 10,000 W = 10 kW

In 10 hours, E = Pt

E = 10 kW x 10 hrs

E = 100 kWh

The unit of energy wasted in the leads in the same time;

E = I²R

E = ( (50² ) x ( 4.4 ) ) / 1000

E = 11 kWh

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Question 3:
A small cube of mass m₁ slides down a circular track of radius,
cut into a large block of mass m₂ = 2m₁ as shown in the figure
below. The large block rests on a table, and both blocks movė
without friction. The blocks are initially at rest, and m₁ starts
from the top of the path. Find the magnitude of velocity of the
cube as it leaves the block.

Answers

The blocks are initially at rest and 'm' starts from the top of the path. Find the velocity 'v' of the cube as it leaves the block.

What is a simple definition of velocity?

Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time . The standard unit of velocity magnitude (also known as speed ) is the meter per second (m/s).

What is velocity SI unit and formula?

The average velocity of the object is defined as the total displacement of the object divided by the total time taken. It is given by. Average velocity = Total displacement/ Total time taken. The SI unit of average velocity is m s-1 or m/s.

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At first, the blocks are at rest, and the letter "m" begins at the beginning of the route. As the cube exits the block, determine its velocity, or "v."

What is the straightforward meaning of velocity?

The shift that an objects or particles experiences with the passage of time is expressed vectorially as velocity. The centimeter per second (m/s) is the accepted unit of flow velocity (also known as speed).

What are the formula and SI unit for velocity?

The entire displacement of the item multiplied by the overall time elapsed gives the object's average velocity. It is supplied by. Average velocity is calculated as total displacement divided by time. M s-1, or m/s, is the SI unit for average velocity.

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Would a cart that has four solid disks for wheels have a final speed that is greater than, less
than, or equal to the final speed of a single disc that has the same mass as the cart and
wheels? Explain.

Answers

The final speed will be equal because they are independent of mass and radius.

How does bulk affect speed?Not directly, mass has an impact on speed. It establishes how quickly an object can increase its velocity (accelerate) in response to a specific force. Faster changes in speed under the same force require less time for lighter objects.At the same rate, both objects descend. If just gravity is operating on an object as it falls, mass has no bearing on how fast it travels.Speed is equal to |w|R, which is equal to the difference between the arc length traveled (S) and the change in time (t). Additionally, the radius times the absolute value of the angular displacement (||) is what determines the arc length (S) (R).      

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three objects are brought close to one another, two at a time. when objects a and b are brought together, they attract. when objects b and c are brought together, they repel. which of the following are necessarily true? (select all that apply.) one object is neutral. objects a and c possess charges of the same sign. all three objects possess charges of the same sign. objects a and c possess charges of opposite sign. additional experiments must be performed to determine information about the charges on the objects.

Answers

Answer:

Additional experiments must be performed to determine information about the charges on the objects

Hot coffee is poured into a mug. It slowly cools, releasing heat to the environment. If we consider the coffee to be the system, which of the following are part of the surroundings? Select all that apply.
O The table underneath the mug O The mug O The air in the room

Answers

If we consider the coffee to be the system, the mug, the air in the room, and the table underneath the mug are the part of the surroundings.

What is heat?

Heat is the transfer of kinetic energy from an energy source to a medium or an object, or the opposite. The three potential mechanisms for this energy transfer are radiation, conduction, and convection.

Small particles are always moving in gases, liquids, and solids. A type of energy known as thermal energy is created by the motion of particles and is a part of all matter.

Between systems or objects with various temperatures, energy is transferred in the form of heat (flowing from the high-temperature system to the low-temperature system). Likewise called thermal energy or heat energy.

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if you have a mass of 50 kg and are in a planet where the acceleration of gravity is 5 m/s2, your weight on the planet is

Answers

If you have a mass of 50 kg and are on a planet where the acceleration of gravity is 5 m/s^2, your weight on the planet would be 250 N (Newtons)

Weight is the force exerted on an object due to gravity and is equal to the mass of an object multiplied by the acceleration due to gravity.

Weight = mass*gravity

The acceleration due to gravity on this planet = 5[tex]m/s^2[/tex]

The weight of the object with a mass of 50 kg = 50 kg ×5[tex]m/s^2[/tex] = 250 N.

Acceleration due to gravity (g) is the acceleration experienced by an object as a result of the force of gravity acting upon it. It is defined as the rate of change of velocity of an object due to the force of gravity. The acceleration of gravity is a constant, and its value is approximately 9.8 [tex]m/s^2[/tex] on the surface of the Earth.

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true/false.. occurs when water between the tires and the road builds until the tires begin to ride on a film of water, resulting in loss of traction.

Answers

It's true that water buildup between the road and the tyres causes friction and traction loss while the tyres are travelling on a film of water. Friction is the force that prevents motion relative to two solid surfaces.

Material elements and fluid layers are in motion in opposition to one another. Friction operates as an attracting force when one body slides through another. Friction is caused by the interaction of two surfaces. If there is a lot of friction, objects do not move smoothly across a surface. Thermal energy is produced throughout this action as kinetic energy is. Friction, often known as the frictional force, is the force that stops an object from moving across a surface.

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A 20 kg bike is traveling at 10 m/s o the right when it is struck by a truck traveling at -20 m/s to the left. The truck has a mass of 3,000 kg. Which of the following statements best describes the forces and accelerations involved during the collision?

Answers

During the collision between the bike and the truck, the two objects will experience forces and accelerations. The force of the collision will be the result of the difference between the momentum of the two objects before and after the collision. The momentum of an object is the product of its mass and velocity, represented as p = mv.

Before the collision, the bike has a momentum of 20 kg * 10 m/s = 200 kg m/s to the right and the truck has a momentum of 3,000 kg * -20 m/s = -60,000 kg m/s to the left.

After the collision, since the truck has a much greater mass than the bike, it will experience a much smaller change in momentum than the bike, and the final velocities of the two objects will be close to the initial velocity of the truck.

So, the force of the collision will be the difference between the initial momentum of the bike and truck and the final momentum of the bike and truck. This force will be acting on the bike, causing it to experience an acceleration. The truck will experience a force as well, but it will be much smaller in magnitude because of its much larger mass.

Therefore, the best statement that describes the forces and accelerations involved during the collision is: The bike experiences a large force during the collision, causing it to experience a large acceleration, while the truck experiences a smaller force and acceleration due to its much larger mass.

A tank filled with oil is in the shape of a downward- pointing cone with its vertical axis perpendicular to ground level. (See a graph of the tank here.) In this exercise we will assume that the height of the tank is h = 16 feet, the circular top of the tank has radius r = 8 feet, and that the oil inside the tank weighs 57 pounds per cubic foot. How mu Ch work (W) would it take to pump oil from the tank to the level at the top of the tank if the tank were completely full?

Answers

The amount of work it will take to pump the oil to the top is W≈82570 ft.lb.

The scalar product of force and displacement vectors called work. W=Fx is the amount of work done when an item is moved by a force F and displaces it across a distance x.

Work is a type of energy in physics. To move an item against gravity, we must give energy to the object, which is stored in the object as gravitational potential energy. The change in gravitational potential energy is equal to the amount of work energy provided to the item.

Work is defined as the displacement of an item caused by a force (push or pull), whereas energy is defined as the capacity to execute the work. It can take many forms, including potential, kinetic, chemical, thermal, nuclear, and electrical energy. Power is defined as the amount of work done per unit of time.

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Suppose you are standing on the center of a merry-go-round that is at rest. You are holding a spinning bicycle wheel over your head so that its rotation axis is pointing upward. The wheel is rotating counterclockwise when observed from above.
For this problem, neglect any air resistance or friction between the merry-go-round and its foundation.
Part A Suppose you now grab the edge of the wheel with your hand, stopping it from spinning.
Part A.1 Part not displayed
What happens to the merry-go-round?
ANSWER: It remains at rest.
It begins to rotate counterclockwise (as observed from above).
It begins to rotate clockwise (as observed from above).

Answers

(B) is correct → It begins to rotate counter clockwise (as observed from above) if we have to stop the wheel from spinning it counterclockwise,

What does the word "counterclockwise" mean?

CCW motion can be seen in the turning of taps, putting a lock in a key to lock it, and disassembling a screw, for example. To make counterclockwise motion clear to young students, use the letter C as an illustration exert From a we must clockwise torque to stop it. 3rd law of Newton, wheel exerts a counter clockwise torque on US.

Due to Conservation of momentum, it begins to dotale counter clock wise. Note that, angular momentum will get transferred from wheel to the merry-go-around"

Which direction—counter clockwise or clockwise—is proper

Result for counter clockwise in an image

The clock's hands go from top to bottom, then down and towards the left, and officially back to the center in clockwise motion, which is abbreviated as CW. In Commonwealth, the opposite of rotating or revolution is.

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The correct question is:

10) Suppose you are standing on the center of a merry-go-round that is at rest. You are holding a spinning bicycle wheel over your head so that its rotation axis is pointing upward. The wheel is rotating counterclockwise when observed from above.

For this problem, neglect any air resistance or friction between the merry-go-round and its foundation.

Suppose you now grab the edge of the wheel with your hand, stopping it from spinning. What happens to the merry-go- round?

A) it remains at rest.

B) it begins to rotate counterclockwise (as observed from above).

C) it begins to rotate clockwise (as observed from above).

D) Cannot be determined from the information given.

A person is riding their bicycle along a straight
road at a speed of 7.9 m/s. In total, they have a
mass of 88 kilograms. What is the kinetic energy,
in joules, of the person with their bicycle?

Answers

Answer: 2746.04 joules

Explanation:

The equation K=(1/2)(m)(v)^2 will provide the answer.

K stands for Kinetic Energy

m stands for mass (88 Kg)

v stands for velocity (7.9 m/s)

When you sub in these variables you get:

K=(1/2)(88 Kg)(7.9 m/s)^2

K=2746.04 joules

Draw two lowest-order Feynman diagrams for scattering of an electron neutrino by an electron​

Answers

A fundamental particle with no electric charge and a spin of one-half is called an electron neutrino (v).

Explain about the electron neutrino?

The subatomic particle known as a neutrino resembles an electron in many ways, but it differs in that it lacks an electrical charge and has a very small mass that may even be zero. One of the cosmological particles with the highest density is the neutrino. However, they are exceedingly difficult to find because they barely interact with matter.

Small, almost massless particles known as neutrinos move at speeds close to light. They are phenomenally common in the universe and can move through lead as readily as we do through air. They are the product of intense astronomical events like exploding stars and gamma ray bursts.

A flat recoil energy spectrum is the result of monoenergetic electron neutrinos scattering from electrons.

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Steam injection wells are common in California. These wells inject steam into liquid petroleum reservoirs, heating the crude oil, which lowers the oil's viscosity, making it easier to pump out of the ground.
Group of answer choices
True.
False.

Answers

True Steam injection wells are common in California. These wells inject steam into liquid petroleum reservoirs, heating the crude oil, which lowers the oil's viscosity, making it easier to pump out of the ground.

What is Steam injection ?

With this method, wet saturated steam is first introduced into a well while being subjected to high pressure and temperature. The well is kept closed for a few days to allow the steam to soak after it has been injected sufficiently to heat the oil in the reservoir. Reopening the well results in oil production (hot-oil puffing).

Indirect heat exchangers use more energy than direct steam injection, which works by directly injecting steam into a process fluid to provide faster heat transfer.

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six forces, each of magnitude either f or 2f, are applied to a door as seen from above in the (figure 1).

Answers

The fifth torque (T₅ ) is the largest then the third torque (T₃), after the third torque, the second and fourth torque (T₂) and (T₄), then the smallest torque is (T₆).

In terms of physics, torque is a rotating or twisting force that propels an item around an axis. Understanding torque, which is comparable to force in linear motion, is essential for comprehending rotating motion.

The torque for the first side is:

T₁ = 2FL/4 = 0.5FL

The second and fourth torque are equal in magnitude,

(FL×0.5)(cos 45) = 0.354 FL

The third torque is:

T₃ = FL/2 = 0.5FL

The fifth torque is:

T₅ = 2FL

The sixth torque is zero in magnitude as it is parallel to the door.

Hence, The fifth torque (T₅ ) is the largest then the third torque (T₃), after the third torque, the second and fourth torque (T₂) and (T₄), then the smallest torque is (T₆).

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#Complete question is:

Question: Six Forces, Each Of Magnitude Either F Or 2F, Are Applied To A Door As Seen From Above In (Figure 1) . Rank In Order, From Largest To Smallest, The Six Torques?1 To?6 About The door. Rank From Largest To Smallest. To Rank Items As Equivalent, Overlap Them. ?

Six forces, each of magnitude either F or 2F, are applied to a door as seen above in (Figure 1) .

Rank in order, from largest to smallest, the six torques  1 to 6 about the door.

you are swinging a block of mass 10 kg around in a horizontal plane at a speed of 10 m/s, holding a massless string of length 2m. neglecting gravity, the force you exert on the string is

Answers

The force you exert on the string is 500 N. This force is calculated by centripetal force.

what is a centripetal force?

Any force that changes the direction of motion toward the center of a circular motion is known as a centripetal force. The part of the force that produces the centripetal force is the part that is perpendicular to the velocity.

Is the force of gravity centripetal?

Centripetal force is used to maintain an object moving in a circle due to gravity. Since gravity always works perpendicularly to the does not affect velocity, it has no effect on an object in a circular orbit.

Does centrifugal force really exist?

It is untrue to say that there is a centrifugal force. It is presumable that its existence is limited to providing an explanation for observations made from the perspective of an observer who moves in a circular motion alongside the item under observation.

Given:

Mass (m) = 10 kg

Velocity (v) = 10m/s

Radius (r) =2 m

F = m*v^2/r

[tex]F= \frac{10(10)^2}{2}[/tex]

[tex]F=500N[/tex]

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Two boys A and B are applying force on a block. If the block moves towards the boy A, which one of the following statements is correct? (1 mark) (a) Magnitude of force applied by A is greater than that of B. (b) Magnitude of force applied by A is smaller than that of B. (c) Net force on the block is towards B. (d) Magnitude of force applied by A is equal to that of B

Answers

Two boys A and B are applying force on a block (a) Magnitude of force applied by A is greater than that of B one of the following statements is correct.

How does Newton's law define magnitude?

The formula for force is mass times acceleration, according to Newton's second equation of motion. Thus, it provides the force's magnitude, as we might state.

Magnitude is simply "distance or amount," according to the definition given in physics. It shows how an item moves while it is in motion, whether that movement is absolute, relative, or of a certain magnitude.

By deducting the bigger force's magnitude from the smaller force's magnitude, you may get the resulting force. The smaller force's direction of application matches that of the resulting force.

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A motorcycle and a car are travelling along a staright road. At t = 0 the motor cycle is behind the car by a distance of 52.0 m and both vehicles have a speed of 22.0 m/s . At a later time, t1 = 4.00 s , the motorbike begins a steady acceleration of 5.00 m/s2 and eventually passes the car at time t2

Answers

The time t2 when the motorcycle passes the car is approximately 6.41s.

How The answer was obtained

To find the time t2 when the motorcycle passes the car, we can use the equation of motion with constant acceleration:

x = x0 + v0t + 0.5at^2

where x is the displacement, x0 is the initial position (52 m behind the car), v0 is the initial velocity (22 m/s), a is the acceleration (5 m/s^2), and t is the time.

At t2, the motorcycle will have covered the same distance as the car, so x = 0.

Substituting the known values and solving for t, we get:

0 = 52 + 22t + 0.5 * 5t^2

0.5t^2 + 22t + 52 = 0

Using the quadratic formula, the time t2 when the motorcycle passes the car is approximately 6.41 s.

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in which of the following situations is the gravitational force the dominant force? select two answers.

Answers

The gravitational force is the predominant force in the following circumstances:

1. When the moon orbits the Earth

2. When an asteroid orbits the Sun

What is gravitational force?

Any two mass-containing objects are attracted each other by the invisible gravitational force. It is the weakest of the four fundamental forces of nature and is responsible for the orbits of planets around the Sun as well as the motion of galaxies. This force is inversely proportional to the square of the distance between the two objects, and it is proportional to the product of their masses. Isaac Newton was the first to describe gravity mathematically and proposed that it was a universal force. This force is responsible for keeping objects on the ground, and it is what causes objects to fall when they are dropped.

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24 (refer to figures 32, 33.) which action can adjust the airplane's weight to maximum gross weight and the cg within limits for takeoff? front seat occupants 425 lb rear seat occupants 300 lb fuel, main tanks 44 gal

Answers

9 gallons of fuel can be drained to bring the aircraft's weight and CG into safe ranges for takeoff.

What is maximum gross weight?

The maximum weight at which the pilot is permitted to attempt to take off due to structural or other limitations is known as the maximum takeoff weight, maximum gross takeoff weight, or maximum takeoff mass of an aircraft. Gross lift-off mass, or GLOW, is the equivalent phrase for rockets. The maximum weight of a vehicle or trailer, including the maximum load that can be carried while being used on the road, is referred to as the maximum authorised mass (MAM) in the context of driving licenses. This is also referred to as the maximum weight permitted or the gross vehicle weight (GVW).

Here,

The aircraft's weight can be adjusted to its maximum gross weight and its CG can be kept within safe ranges for takeoff by draining 9 gallons of fuel.

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Consider four 100.0-g samples of water, each in a separate beaker at 25.0∘C. Into each beaker, you drop 10.0 g of a different metal that has been heated to 95.0∘C. Assuming no heat loss to the surroundings, which water sample will have the highest final temperature? Explain your answer.
a. The water to which you have added aluminum (c=0.89J/g∘C).
b. The water to which you have added iron (c=0.45J/g∘C).
c. The water to which you have added copper (c=0.20J/g∘C).
d. The water to which you have added lead (c=0.14J/g∘C).
e. Because the masses of the metals are the same, the final temperatures would be the same.

Answers

Water sample will have the highest final temperature because the masses of the metals are the same, the final temperatures would be the same.

Heat

Heat flows from hot bodies to cold bodies. When two bodies with different temperatures come into contact with each other, heat transfer occurs and thermal equilibrium is achieved. Thermal equilibrium can only be achieved when a cold object raises its temperature and a hot object lowers its temperature.

The formula for calculating the amount of heat absorbed by a metal is:

heat absorbed by metal = m × Cp × ΔT

where:

m = mass of metal

Cp = specific heat or heat capacity of metal

ΔT = Temperature change of metal, difference between final and initial temperature

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a cyclist rides 6.8 km east for 19.4 minutes, then he turns and heads west for 4.1 km in 5.8 minutes. finally, he rides east for 15.3 km, which takes 38.6 minutes. take east to be the positive direction.(a) What is the final displacement of the cyclist? (b) What is his average velocity?

Answers

A cyclist rides 8.0 km east for 20 minutes, then he turns and heads west for 8 minutes and 3.2 km. Finally, he rides east for 16 km, which takes 40 minutes.

What is the difference between a bicyclist and a cyclist?

A cyclist (or bicyclist) is someone who rides a bicycle. A biker is someone who rides a motorcycle. These terms are an ongoing subject of controversy, especially in cyclist circles.

Is it called biking or cycling?

Bicycle magazines seem to use the word biking to refer to the act of riding a motor bicycle. However, some observed that cycling is used by more formal writers, while biking is usually part of a more informal and colloquial language.

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Meters in which each beat is subdivided into three rather than two are known as:a. simple meters. b. complex meters.c. compound meters.d. unequal meters.

Answers

There are three eighth notes within each beat, which has the same length as a dotted quarter note. Compound meter's are ones that have the beat divided into thirds, like this one.

The correct option is C.

What kind of rhythm is separated into two beats?

Duple meter's are those that have two beats per measure. When a bar contains three beats, the meter's is said to be triple, and when a bar contains four beats, the meter's is said to be quadruple. The meter's is referred to as simple if the beats are typically broken up into two pieces.

what are Compound meter's ?

Compound meter's are those in which the beat is divided first into three and then into six. Duple meter's group a variety of Quadruple meter's have groups of four beats, triple meter's have groups of three beats, and double meter's have groups of two beats.

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a small, 300 g cart is moving at 1.90 m/s on a frictionless track when it collides with a larger, 3.00 kg cart at rest. after the collision, the small cart recoils at 0.880 m/s .

Answers

When a tiny, 300 g cart collides with a bigger, 3.00 kg cart at rest while both are going at 1.90 m/s on a frictionless track, the big cart's speed after the collision is V = 0.149 m/s.

This is a momentum-related query.

Mass times speed equals momentum.

Momentum before a collision equals Momentum after a collision, according to the Conservation of Momentum.

Prior to a collision, a little cart's momentum equals its own.

Acceleration before impact = (0.3 x 1.1) m/kg = 0.33 m/kg

Momentum following a collision is equal to the product of the momentums of the two carts (minus because of the small cart recoils in the opposite direction)

After-collision momentum is equal to (4 x V) - (0.3 x 0.890) = 4V - 0.267.

4V - 0.267 = 0.33

4V = 0.33 + 0.267

A collision, also known as an impact, is the abrupt, violent coming together in close proximity of two bodies, such as, for instance, two pool cues, a golf club and a ball, a hammer and a nail head, or two train carriages. 4V = 0.597 V = 0.149 m/s

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The velocity of a machine element over a 10 second period is:
V=2.5t m/s 0 V=10 m/s 4 If the element represents aerodynamic drag, approximated by the characteristic F=CV^2 determine the power absorbed as a function of time, and the total energy dissipated if C= 1.0 N-s^2/m^2

Answers

The total energy dissipated over a 10 seconds period is 78125 Joules.

What is power that absorbed as a function of time?The velocity of the machine element over a 10 second period is represented by the equation V = 2.5t m/s, where t is the time in seconds.The aerodynamic drag on the element is approximated by the characteristic equation F = CV^2, where C is a constant (1.0 N-s^2/m^2 in this case) and V is the velocity of the element.To determine the power absorbed as a function of time, we can multiply the force of drag by the velocity: P = FV = CV^3.Substituting in the given values, we get P = (1.0 N-s^2/m^2)(2.5t m/s)^3 = 31.25t^3 WTo determine the total energy dissipated, we can integrate the power over the time period of 10 seconds: E = ∫Pdt from 0 to 10 seconds.Substituting in the given power equation, we get E = ∫(31.25t^3) dt from 0 to 10 seconds.Solving the integral gives E = (31.25/4)t^4 from 0 to 10 seconds.Substituting t = 10 in the above equation, we get E = 31.25 * 10^4/4 = 78125 J (Joules)So, the total energy dissipated over a 10 seconds period is 78125 Joules.

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a system that consists of a single spring stores a total elastic potential energy e when a load is added to the spring. another identical spring connected in parallel is added to the system. the same load is now applied to the parallel springs.

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The spring is added to a system that uses just one spring to store an entire elastic potential load. A second identical spring was attached to the system.

How can you tell whether a spring is in series or parallel?

When a load is applied to a system made up of a single spring, the system's total elastic potential energy, e, is stored. The system is expanded by adding a second similar spring connected in parallel. The parallel springs are now subjected to the same load.

More broadly, two or more springtime are in sequence when any stressor given to the ensemble applies to each spring with changing magnitude, and the extent of strain (deflections) of the ensembles is equal to the total of the strains of the springs.

In a sentence, what does the word "parallel" mean?

Repetition of a specific grammar form within a sentence is known as parallel structure (also known as parallelism). A parallel construction is made when all of the items or concepts being compared in a sentence adhere to the same grammatical structure. Example False Parallel: In addition to midday naps, Ellen enjoys hiking and attending rodeos.

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The two ropes seen in (Figure 1) are used to lower a 255 kg piano exactly 7 m from a second-story window to the ground.
A) How much work is done by w⃗ ?
B) How much work is done by T⃗ 1?
C) How much work is done by T⃗ 2?

Answers

Work done by [tex]\overrightarrow w[/tex]= 255 kg x 9.8 m/s² x 7 m = 17,890 J, while work done by [tex]\overrightarrow T[/tex] 1 = 0 = perpendicular to displacement of piano.

What is work and displacement?

Work and displacement are two terms related to physics. Work is a measure of energy and is defined as the amount of energy transferred to an object when a force is applied to it over a certain distance. In other words, work is the result of a force acting on an object over a distance. Displacement is a measure of the change in position of an object over a given distance, which is the difference between the initial and final positions of the object.

A) The work done by [tex]\overrightarrow w[/tex] is 7m × 255kg × 9.81m/s² = 17,570 joules.

B) The work done by [tex]\overrightarrow T[/tex] 1 is 7m × 255kg × 9.81m/s² × cos(30°) = 13,177 joules.

C) The work done by [tex]\overrightarrow T[/tex] is 7m × 255kg × 9.81m/s² × cos(60°) = 4,393 joules.

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Complete question:

Three particles have the following masses ( in multiples ofm0) and move on three different circles with thefollowing speeds (in multiples of v0) and radii (inmultiples of r0):
Particle Mass Speed Radius
1 m0 2v0 r0
2 m0 3v0 3r0
3 2m0 2v0 4r0
Rank the particles according to the magnitude of thecentripetal force that acts on them, largest first.

Answers

The particles according to the magnitude of the centripetal force that acts on them, largest first is ranked as:

1 m₀ 2v₀ r₀

2 m₀ 3v₀ 3r₀

3 2m₀ 2v₀ 4r₀

What is the fundamentals to rank particles based on centripetal force?

Even if travelling at a constant speed around the circle's edge, there will still be a change in velocity and, consequently, an acceleration. Towards the circle's centre, this acceleration is being applied. Furthermore, according to Newton's second law of motion, any object that experiences acceleration must also be subject to a net force. The acceleration's direction matches that of the net force.

Accordingly, an inward force must be acting on an object for it to accelerate inward when it is moving in a circle. The centripetal force requirement is a term that is occasionally used to describe this. Centripetal refers to something that seeks its centre. There is a net force acting towards the centre of an object moving in a circle.

Ranking particles based on centripetal force would be easy as we only have to follow the calculation.

Centripetal force has the following mathematical form:

[tex]$ \mathrm{ F = \frac{mv^2}{r}}[/tex]

Lets assume Particle Mass, Speed and Radius are all = 1

So,

1) [tex]\mathrm{m_0 \ 2v_0 \ r_0}[/tex]

[tex]$ \mathrm{ F_1 = \frac{m2v^2}{r}}[/tex]

[tex]$ \mathrm{ F_1 = \frac{(1)2(1)^2}{1} = 2}[/tex]

2) [tex]\mathrm{m_0 \ 3v_0 \ 3r_0}[/tex]

[tex]$ \mathrm{ F_2 = \frac{m3v^2}{3r}}[/tex]

[tex]$ \mathrm{ F_2 = \frac{(1)3(1)^2}{3} = \frac{3}{3} = 1 }[/tex]

3) [tex]\mathrm{2m_0 \ 2v_0 \ 4r_0}[/tex]

[tex]$ \mathrm{ F_3 = \frac{2m2v^2}{4r}}[/tex]

[tex]$ \mathrm{ F_3 = \frac{2(1)2(1)^2}{4} = \frac{4}{4} = 1 }[/tex]

As,

2 > 1 ≥ 1

We can rank them as,

1 m₀ 2v₀ r₀

2 m₀ 3v₀ 3r₀

3 2m₀ 2v₀ 4r₀

m is the object's mass, v is its speed or velocity, and r is its radius, where F is the centrifugal force.

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Complete question:

Recent findings lend strong support to the theory that a black hole lies at the center of the Milky Way and of many of the 100 billion other galaxies estimated to exist in the universe.
(A) that a black hole lies at the center of the Milky Way and of
(B) that a black hole lies at the Milky Way's center and
(C) that there is a black hole lying at the Milky Way’s center and
(D) of a black hole lying at the Milky Way's center and
(E) of a black hole that lies at the center of the Milky Way and of

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Recent findings lend strong support to the theory that a black hole lies at the center of the Milky Way and of many of the 100 billion other galaxies estimated to exist in the universe: (A) that a black hole lies at the center of the Milky Way and of.

What is Milky way?

Large amounts of stars, dust, and gas make up the Milky Way. It is known as a spiral galaxy because, whether viewed from the top or bottom, this would appear to be rotating. The Sun is situated on one of the spiral arms, some 25,000 light-years from the galaxy's nucleus. This white streak was described as a "river of milk" in a story by the ancient Greeks. It was referred to by the ancient Romans as the Via Galactica, or "way made of milk." The Milky Way is the name given to our galaxy as a result. The majority of the stars that you can see when gazing up at the night sky are situated in the Milky Way's core.

Here option (A) uses the phrase "lies at...(the center) of many of the 100...universe," which conveys the intended meaning—that a black hole lies at the heart of both the Milky Way and many of the 100 billion other galaxies that are thought to exist in the universe. Furthermore, Option A includes the phrase "thesis about a black hole," communicating the desired idea — namely, that recent discoveries overwhelmingly support the theory about a black hole. Additionally, Option A employs the word "lying," which is a universal fact, in the simple present tense. Option A is also devoid of discomfort and duplication.

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To what extent do you believe that Jews, christians, and Muslims use the divine command theory approach rather than egoism or act or rule utilitarianism as a basis for their ethical system

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Jews, christians, and Muslims use the divine command theory rather than egoism or act or rule utilitarianism as a basis for their ethical system because of their belief that things are right because God commands them to be.

What is the idea behind the theory of divine commands?

According to the Divine Command Theory, the ethically correct course of action is the one that God requires or commands because morality ultimately rests on God's instructions or character.

The idea that something is right because God has ordered it to be thus is known as the divine command theory. In other words, it implies that morally repugnant or immoral actions are wrong because God forbids them. This theory is absolutist.

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