You are a pirate working for dread pirate roberts. you are in charge of a cannon that exerts a force 10000 n on a cannon ball while the ball is in the barrel of the cannon. the length of the cannon barrel is 2.44 m and the cannon is aimed at a 45◦ angle from the

Answers

Answer 1
Answer: Let m = mass of cannon Then 10000 = ma a = 10000/m v^2 = u^2 + 2as v^2 = 0 + 2as 84^2 = 2(2.21)(10000/m) 84^2 m = 4.42(10000) m = 6.264172336 = 6.26 kg Part 2 Range = u^2sin(2x38)/g = 84^2sin(76)/9.8 = 698.6129229 = 698.6 m

Related Questions

PLZZZZ I NEED HELP ASAP!!!!

Would Wegener have been more or less successful in convincing scientists today than he was when he proposed his ideas? Why or why not?

Answers

I believe Alfred Wegener would be much more succesful today.
Alfred wegener presented his continental drift hypothesis in 1912, and his idea was dismissed back then (he died in 1930s.)
But after entering 1950s, many scientists started to accepted the idea of the continental drift, which means that the scientific community just only accepted his idea 20 years after his death.

A force of 40 N is applied on a body so that it attains a velocity of 20 m/s in 5 s. What is the mass of the body?

Answers

Let m (kg) = the mass of the body.

The body attains a velocity of 20 m/s in 5 s. Therefore the acceleration is
a = (20 m/s)/(5 s) = 4 m/s².

Note that
F = ma
where
F = applied force,
a = acceleration,
m = mass

The applied force is 40 N, therefore
(m kg)*(4 m/s²) = 40 N
m = 40/4 = 10 kg

Answer: 10 kg

To a stationary observer, a bus moves north with a speed of 10 m/s. A man inside walks toward the back of the bus with a speed of 0.4 m/s relative to the bus. What is the velocity of the man according to a stationary observer? A. 0.4 m/s north B. 10.4 m/s north C. 10 m/s north D. 9.6 m/s north

Answers

An observer would see the man moving north with a velocity of 9.6 m/s

A block has acceleration a when pulled by a string. if two identical blocks are glued together and pulled with twice the original force, what will their acceleration be?

Answers

F = m x a 2F = 2m x a a = 2F / 2m a = F/m The acceleration would be the same.

Will the bulb light for the whole time that the capacitor discharges?

Answers

Final answer:

The bulb will light up when the capacitor discharges, but the brightness will continually decrease and the bulb will go out once the capacitor is fully discharged.

Explanation:

In circuits containing capacitors, when the capacitor is fully charged, it starts the process of discharging. During the process of discharging, the capacitor transfers its stored energy which can light up a bulb. So, yes, theoretically, a bulb can light up during the time the capacitor discharges. However, the brightness of the bulb will diminish over time, as the energy stored in the capacitor decreases during a discharging process, resulting in a decreasing current in the circuit.

For example, imagine we have a simple circuit with a bulb, a resistor, and a discharging capacitor. At the start of the discharge process, when the capacitor holds the maximum charge, the bulb will shine the brightest. As the capacitor discharges, the current in the circuit will decrease, therefore the brightness of the bulb will also decline. When the capacitor is fully discharged, the current will be zero and therefore the bulb will not light up anymore.

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Final answer:

The bulb in a circuit with a discharging capacitor will remain lit as long as there is sufficient current flowing through it. The duration depends on the circuit's time constant and the bulb's required current to produce light. The stored energy of the battery and bulb's power consumption determine how long the bulbs will stay lit.

Explanation:

The question pertains to the discharge of a capacitor in a simple electrical circuit and whether a bulb connected to this circuit will remain lit throughout the discharge process. When a charged capacitor starts to discharge through a bulb (or any resistive load), the bulb will light up. As the capacitor discharges, the voltage across it decreases, which in turn causes the current through the bulb to decrease. The bulb will stay lit as long as there is sufficient current flowing through it to produce light. The duration for which the bulb stays lit will be influenced by the effective resistance of the circuit and the capacitance value.

For more complex circuits, such as one with a neon lamp, the bulb will light up when the capacitor discharges through the lamp. However, once the capacitor's voltage drops below the lamp's 'strike voltage', the lamp will turn off, and the capacitor may continue to discharge without producing light. Hence, the bulb does not necessarily stay lit for the entire duration of the capacitor's discharge. Instead, it stays lit until the voltage and current are too low to sustain illumination.

If a battery has a total stored energy of 800 W hr and it produces a constant potential difference until discharged, to determine how long the bulbs will stay lit, one would need to know the power consumption of the bulbs and the system voltage. This would allow for the calculation of the discharge time using the relationship between power, energy, and time.

explain why an iron nail that is stuck to a magnet can pick up a paperclip

Answers

It will be able to pick up a magnet because the magnetic force will be strong on it, which will allow it to pick up many things.

Answer:

because its metal

Explanation:

A 7-hp (shaft) pump is used to raise water to an elevation of 19 m. if the mechanical efficiency of the pump is 82 percent, determine the maximum volume flow rate of water. (round the final answer to four decimal places.)

Answers

Final answer:

To determine the maximum volume flow rate of water, we need to calculate the power supplied by the pump. Plugging in the values, the maximum volume flow rate of water is approximately 0.0019 m³/s.

Explanation:

Answer:

To determine the maximum volume flow rate of water, we need to calculate the power supplied by the pump. The formula to calculate power is power = force * velocity. If we convert the horsepower of the pump to watts (

1 hp = 746 watts), we can use the formula power = (7 hp * 746 W/hp) * (0.82 efficiency) to find the power supplied by the pump. Next, we can use the formula power = work/time = force * distance/time = force * velocity to find the force exerted by the pump. Finally, we can use the formula volume flow rate = velocity * area, where the area can be calculated using the equation area = π * (diameter/2)^2, to find the maximum volume flow rate of water. Plugging in the values, the maximum volume flow rate of water is approximately 0.0019 m³/s.

A 2300 kg truck has put its front bumper against the rear bumper of a 2500 kg suv to give it a push. with the engine at full power and good tires on good pavement, the maximum forward force on the truck is 18,000 n. you may want to review ( pages 145 - 146) . part a what is the maximum possible acceleration the truck can give the suv? express your answer to two significant figures and include the appropriate units.

Answers

From the Newton’s First Law, we can see that acceleration is simply the ratio of Force over mass. In this case, mass is the sum of the mass of each car, that is:

mass = 2300 kg + 2500 kg = 4800 kg

 

So the formula is:

acceleration = Force / mass

acceleration = 18,000 N / 4800 kg

acceleration = 3.75 m/s^2

 

In 2 significant figures:

acceleration = 3.8 m/s^2

The maximum possible acceleration the truck can give the SUV is about 3.8 m/s²

[tex]\texttt{ }[/tex]

Further explanation

Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

[tex]\boxed {F = ma }[/tex]

F = Force ( Newton )

m = Object's Mass ( kg )

a = Acceleration ( m )

Let us now tackle the problem !

[tex]\texttt{ }[/tex]

Given:

mass of truck = m = 2300 kg

mass of SUV = M = 2500 kg

maximum forward force = F = 18 000 N

Asked:

maximum possible acceleration = a = ?

Solution:

We will use Newton's second law of motion to solve this problem :

[tex]\Sigma F = ( m + M )a[/tex]

[tex]F = ( m + M ) a[/tex]

[tex]a = F \div ( m + M )[/tex]

[tex]a = 18000 \div ( 2300 + 2500 )[/tex]

[tex]a = 18000 \div 4800[/tex]

[tex]a \approx 3.8 \texttt{ m/s}^2[/tex]

[tex]\texttt{ }[/tex]

Learn moreImpacts of Gravity : https://brainly.com/question/5330244Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454The Acceleration Due To Gravity : https://brainly.com/question/4189441Newton's Law of Motion: https://brainly.com/question/10431582Example of Newton's Law: https://brainly.com/question/498822

[tex]\texttt{ }[/tex]

Answer details

Grade: High School

Subject: Physics

Chapter: Dynamics

What is the difference between contact forces and forces that act through a force field?

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Contact forces are forces that occur when two objects make contact, ex. Frictional Force. Non-contact forces occur without contact, ex. Gravitational Force or Electric Force.

Contact forces occur when two objects are in contact while Non-contact forces occur without any physical contact.

What is force?

Force is the action of push or pull which cause an object to move or stop.

Contact forces are the forces that come into existence when two objects come in contact to apply a force, For example: Frictional Force.

Non-contact forces takes place without any physical contact. For example: Gravitational force, Electric force, Magnetic force.

Thus, Contact forces occur when two objects are in contact while Non-contact forces occur without any physical contact.

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When rocks experience high temperatures and differential stresses deep in the earth, their grains tend to ________?

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Break into small particles. The heat causes the rock to break up and form pebbles or sand. Hope that helped. Have a nice day

Which of the following is an example of two sets?

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 Five sit ups followed by a rest and then five more sit ups

The Fahrenheit temperature reading is 98 on a hot summer day. What is this reading on the Celsius scale?

Answers

98 Fahrenheit would be equivalent to 36.6667 Celsius.
Hope this helped!
 
36.67 C is your answer

A ball with a mass of 0.25 kg hits a gym ceiling with a force of 78.0 n. what happens next?
a. the ball accelerates downward with a force of 80.5 n.
b. the ball accelerates downward with a force of 78.0 n.
c. the ball accelerates downward with a force of 2.45 n.
d. it depends on the height of the ceiling.

Answers

Final answer:

After the ball hits the ceiling with a force of 78.0 N, it experiences a net force of 75.5 N downward due to the impact force minus its weight, causing it to accelerate downward.

Explanation:

When a ball with a mass of 0.25 kg hits the gym ceiling with a force of 78.0 N, the force exerted on the ceiling by the ball is equal and opposite to the force exerted on the ball by the ceiling, according to Newton's third law of motion. Right after the impact, the ball will experience a net force in the downward direction which will cause it to accelerate downward. This net force can be calculated by subtracting the weight of the ball from the applied force. The weight of the ball, which is the force due to gravity, is the mass of the ball times the acceleration due to gravity (0.25 kg * 9.8 m/s² = 2.45 N). Thus, the net force on the ball after hitting the ceiling would be 78.0 N - 2.45 N = 75.5 N downward. Therefore, the correct answer to what happens to the ball next is that it accelerates downward with a force of 75.5 N.

PLEASE HELP!!! A small, horizontal pipe with cross-sectional area A is joined to a large horizontal pipe with cross-sectional area 2A.  Both pipes are at the same height, and completely filled with water (density 1000 kg/m^3).  What is the pressure of the water in the large pipe if the speed of the water in the small pipe is one m/s and the pressure of the water in the small pipe is 1000 Pa?

Answers

Let point 1 be the small pipe and 2 be the larger pipe. Using the continuity equation,

ρ₁A₁v₁ = ρ₂A₂v₂

Since density is the same,
A₁v₁ = A₂v₂
A(1) = (2A)(v₂)
v₂ = 0.5 m/s

Then, we use the mechanical energy balance:

(P₂ - P₁)/ρ + (v₂² - v₁²)/2 = 0
(P₂ - 1000 Pa)/ 1000 kg/m³ + (0.5² - 1²)/2 = 0
P₂ = 1375 Pa

Thus, the pressure of the larger pipe is 1,375 Pa.

Which statement is true regarding the "relationship merry-go-round"?

A. By the age of 40, about 75% of Americans have married at least once.
B. Most people chose to remain single in order to pursue career goals.
C. Arranged marriages are no longer the norm in India.
D. In some cultures, romantic love was considered a form of madness.

Answers

A common finding with couples who can’t connect or resolve their problems is that they reason out or feel that it’s the other individual who can’t connect, not them. It’s the other individual that has the problem and they remain to think "I’m right and you’re wrong." The answer is letter a. In 40 percent of new weddings, one or both partners has been wedded no less than once before. Men are more probable to re-wed than women who've been wedded before.

What was the correct answer?

If 31.25

10
18
electrons are removed from a
neutral dielectric, how much charge is stored in
coulombs?

Answers

1 C = 6.24150965(16)×10^18 electrons

31.25 x 10^18 electrons / (6.24150965(16)×10^18 electrons / C) = 5.007 Coulombs

I hope this helps. 

Answer:

it will become charged by Q = 5C

Explanation:

When electron is removed from matter then the system will get positively charged

So we will have

[tex]Q = Ne[/tex]

here N = number of electrons that is removed

[tex]N = 31.25 \times 10^{18}[/tex]

also we know that charge on one electron is given as

[tex]e = 1.6 \times 10^{-19}[/tex]

here we have

[tex]Q = Ne[/tex]

[tex]Q = (31.25 \times 10^{18})(1.6 \times 10^{-19})[/tex]

[tex]Q = 5 C[/tex]

so it will become charged by Q = 5C

an object has a velocity of 8 m/s and a kinetic energy of 480 J what is the mass of the object

Answers

We have first velocity equals 8 m/s and the kinetic energy is 480 J

The order is the mass of the object

We have this formula K= mv2/2 isolating the mass we have m=k/v2

Now we will have m=480/8×8 > m= 480/64 m= 7.5kg now we deternimed the mass it's 7.5 kg

The best analogy for light energy is: ____.â

a. âthe propagation of waves in the ocean

b. âa rabbit hoping along a path

c. âraindrops falling from the sky

d. âa plane flying through the air

Answers

I believe that the correct answer for this question is:

a. the propagation of waves in the ocean

 

This is because like waves in form, light has two polarities in shape. It actually forms a sinusoidal wave like a wave in the ocean.

Final answer:

Light energy is best likened to the propagation of waves in the ocean (option a) because light exhibits wavelike properties, such as frequency and wavelength, similar to the behavior of ocean waves.

Explanation:

The best analogy for light energy is the propagation of waves in the ocean (option a). This is because light behaves as both a wave and a particle, a concept known as wave-particle duality. Light and other forms of electromagnetic radiation move through a vacuum at a constant speed, c, and demonstrate wavelike properties such as frequency (ν) and wavelength (λ), which relate to the energy of light. Similar to ocean waves that propagate across the sea, light waves travel through space, and their interference patterns can be observed when passing through narrow slits, analogous to water waves interacting with barriers.

A planet is in circular orbit around the sun. its distance from the sun is nine times the average distance of the earth from the sun. the period of this planet, in earth years, is:

Answers

By the Kepler's third law, the time period of this planet in earth years can be calculated to be 8 years.

What is Kepler's third law?

Kepler's Third Law states that the squares of the orbital periods of the planets are directly proportional to the cubes of the semi-major axes of the planet's orbits. Kepler's Third Law implies that the period for a planet to orbit around the Sun increases rapidly with the radius of its orbit.

In planetary motion, the planet's net external torque is equal to zero. As a result, the angular momentum will not change.

T² is proportional to r³, and the orbital period square is proportional to the distance cubes.

(Tearth/ Tplanet)² = (rearth/ r planet)³

The planet's distance from the sun is 4 times the semi-major axis of the earth's orbit.

(Tearth/ Tplanet)² = (1/4)³

Tearth = Tplanet × √1/64 = Tplanet × (1/8)

Tplanet = 8 × Tearth

Tearth = 1 year

Tplanet = 8 years

Therefore, the time period of this planet is 8 years.

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Your question is incomplete, most probably the complete question is:

A planet is in a circular orbit around the sun. It distance from the sun is 4 times the semi major axis of earth's orbits. The period of the planets is

earth years

Final answer:

Using Kepler's third law of planetary motion, the period of a planet in circular orbit around the Sun at a distance of nine times the Earth's from the Sun is calculated to be 27 Earth years.

Explanation:

The question asks to determine the orbital period of a planet that is nine times farther from the Sun than the Earth, using Kepler's third law, which relates a planet’s orbital period to its distance from the Sun. The law states that the orbital period squared (P^2) is proportional to the average distance from the Sun cubed (a^3). Given that the Earth's average distance from the Sun is about 150 million km (1 astronomical unit or AU), the planet in question is 9 AU from the Sun.

According to Kepler's third law, (P_earth/P_planet)^2 = (a_earth/a_planet)^3. We know P_earth is 1 year and a_earth is 1 AU, so substituting for a_planet with 9 AU, we get (1 year / P_planet)^2 = (1 AU / 9 AU)^3.
Solving this equation for P_planet gives us an orbital period of 3^3, or 27 Earth years for the planet.

A girl delivering newspapers travels one block west then three blocks north then five blocks east. what is her resultant displacement?

Answers

3^2+4^2=25^2 = 5 units

List three examples of material culture.

Answers

Cars, transportation, clothes, and technology

There are various examples of material culture like Tool, Monuments, Machines, etc.

What is Material Culture?

The physical components of a society—the things that humans have created or altered—are referred to as material culture. These things are identified by their characteristics, whether chemical, physical, or biological, and they surround a population and its activities.

Shape, size, surface roughness, chemical composition and organization, molecular or cellular structure, color, and weight are examples of intrinsic properties of an entity.

Some more examples of material culture are :

AppliancesBeverages ArchitectureBooksCosmeticsCraftsFactories etc.

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Q1.A toy rocket is launched with an initial velocity of 11.0 m/s in the horizontal direction from the roof of a 40.0 m -tall building. The rocket's engine produces a horizontal acceleration of (1.60 m/s3)t, in the same direction as the initial velocity, but in the vertical direction the acceleration is g , downward. Air resistance can be neglected.
Part A) What horizontal distance does the rocket travel before reaching the ground? write the answer with the unit.

Answers

The horizontal movement of the rocket is 11m/s, with an acceleration of 1.6m/s². The vertical movement will be downward, with an initial velocity of zero (it was shot horizontally) and a negative acceleration of g (-9.8m/s²)

To see how far the rocket traveled before hitting the ground, let's first figure out the time t at which the rocket hit the ground:
The formula for distance is d= vt + (1/2)at² ,
Where v=initial velocity, d=distance traveled, a=acceleration, and t=time
We want to find how long it took to travel 40 meters (height above the ground), given an initial velocity of 0 and negative acceleration of 9.8
Plugging into the equation:
40 = 0(t) + (1/2) (9.8) (t²)          Multiply both sides by (2/9.8)
8.16 = t²                                    Square root of both sides
t=  2.85

The rocket traveled for 2.85 seconds before hitting the ground. Plug this number into our distance formula to find horizontal distance
d= vt + (1/2)at² 
d = 11 (2.85) + (1/2) (1.6) (2.85²)
Remember that initial horizonal velocity is 11m/s and horizontal acceleration is 1.6m/s²
Simplify:
d= 31.35 + .8 * 8.16
d = 37.87

The object traveled 37.87 meters before hitting the ground. 

Final answer:

The toy rocket falls to the ground due to gravity in 2.86 seconds. During this time, it travels horizontally under constant acceleration, covering a distance of approximately 93.67 meters.

Explanation:

This type of problem involves projectile motion, a topic in physics. Since only vertical motion affects the time it takes for the rocket to hit the ground, we first find the time it takes for the rocket to fall from the roof to the ground. The equation to find time when we know height (H), initial vertical velocity (Vi), and acceleration due to gravity (g) is: t = √(2H/g). Plugging in H = 40 m and g = 9.8 m/s², we get t = √(2*40/9.8) = 2.86 seconds.

Next, we'll calculate the horizontal distance (or range) traveled by the rocket. The horizontal distance can be calculated using the equation x = Vi*t + 0.5*a*t², where Vi is the initial horizontal velocity, a is the horizontal acceleration and t is the time which we calculated in the previous step. Substituting the values, Vi = 11 m/s, a = 1.6*t, and t = 2.86 s, the equation becomes x = 11*2.86 + 0.5*1.6*2.86² =  93.67 m.

So, the horizontal distance that the rocket travels before reaching the ground is approximately 93.67 meters.

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Velocity Describes ______ ?

A) speed and direction
B) speed and momentum
C) force and direction
D) gravity and direction

Answers

The answer would be A.) Speed and direction. 

This is because velocity is the displacement of an object during a specific unit of time. Since displacement includes a direction, so does velocity. 
•Speed with direction. 
Velocity is also a vector, a quantity that has both magnitude and direction. 

I hope this helps. 

Seafloor spreading causes an oceanic plate to collide with a continental plate. If it were to go through the whole tectonic cycle, number the steps that would follow.

Answers

If you're going to ask a question, at least provide the steps or possible answers that you are provided with so that others can help you. Luckily, I know the exact question you are trying to solve. 
The order the steps go in is:
  The oceanic plate would subduct under the continental plate into the asthenosphere. 
From the intense heat and pressure within the mantle, the crust of the oceanic plate would mix with the rock of the mantle. 
Mantle convection would cause magma to rise up through divergent boundaries.

Answer: The entire process is mentioned in  step-wise below-

Firstly, two plates moves opposite to each other, due to this the crust gradually become thin and subsequently rises up.On continuous thinning of the crust, at one point, the magma will come out to the surface producing a small rift.Rifting continuously takes place and results in a rift valley,and slowly after millions of years will form an ocean.Then, the two diverging plate will collide with another oceanic or continental plate, in which the more denser oceanic crust will get subducted beneath the less denser one.This suducted plate, at much greater depth undergoes partial melting and slowly makes its way up to the crust.This magma on further pushing towards the surface, initiates sea floor spreading, thus repeating the entire cycle.

describe the motion of an unanchored rowboat when a water wave passes

Answers

The boat will move up and down because of the waves but it will not move forward because the wave doesn't carry the boat with it.


Hope this helps. 

The motion of an unanchored rowboat when a water wave passes, the boat moves along with the waves. The boat doesn't move forward as waves could not take the boat along with it.

What is the motion of water waves?

The water waves are waves that have a combination of both longitudinal and transverse waves. Longitudinal waves are the waves that cause the medium to move parallel to the direction of the waves.

Transverse waves are the waves that cause the medium to move perpendicular to the direction of the waves. When the waves travel through the water, the particles move in a clockwise direction. Most of the waves are formed by the winds.

The motion of the unanchored rowboat, when water pass is a boat, is moved up and down along with the wave. But the boat does not move forwards along with the wave. Because the wave does not carry the boat with it.

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When Emeka was first training his dog, Smooches, to heel he would give Smooches a treat when she stayed close during walks. Now Smooches stays right by Emeka's side, even when she is not on her leash. In this case, a. the dog treats were positive reinforcers for staying close. b. the dog treats were negative reinforcers for staying close. c. the staying close was a positive reinforcer for receiving dog treats. d. the staying close was a negative reinforcer for receiving dog treats.

Answers

Answer a. is correct. In this case the dog treats were positive reinforcers for staying close (the desirable behaviour). Repeated rewards for a certain behaviour work as positive reinforcers.

Two cars are driving at the same constant speed on a straight road, with car 1 in front of car 2. car 1 suddenly starts to brake with constant acceleration and stops in 10 m. at the instant car 1 comes to a stop, car 2 begins to brake with the same acceleration. it comes to a halt just as it reaches the back of car 1. what was the separation between the cars before they starting braking?

Answers

Final answer:

To find the initial separation between two cars before braking, we use the kinematic equation related to uniform acceleration. By calculating the deceleration of car 1, we can determine the total stopping distance for car 2, which includes the initial separation distance plus the stopping distance of car 1.

Explanation:

The question involves the concept of uniform acceleration and the use of kinematic equations to determine the initial separation between two cars before they start braking. Under the assumption that both cars decelerate with the same constant acceleration and car 2 stops exactly at the position where car 1 initially started to brake, we can use the kinematic equation:

\[ v^2 = u^2 + 2as \]

Where \(v\) is the final velocity, \(u\) is the initial velocity, \(a\) is the acceleration, and \(s\) is the distance. Since car 1 stops in 10 m, we can find the acceleration by setting \(v=0\), and since car 2 stops at the back of car 1 exactly, the initial separation
\(s\) is actually the distance car 2 travelled while car 1 was braking plus the 10 m stopping distance of car 1.

To solve this, we first calculate the acceleration of car 1 as it comes to a stop:

\[ 0 = u^2 + 2a(10) \]

This gives us the value of \(a\), and since car 2 has the same acceleration and stops in the same way, it will travel a distance of 10 m after starting to brake, plus the initial separation distance while car 1 was braking. This total distance equals the stopping distance of car 1, which is 10 m, plus the distance car 2 travels before it starts braking.

Therefore, the initial separation between the two cars before braking started is the distance car 2 travels while car 1 is braking (which can be calculated using the found acceleration and the fact that car 2 starts braking 10 m after car 1 has come to a stop).

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A 9 m3 container is filled with 300 kg of r-134a at 10°c. what is the specific enthalpy (kj/kg) of the r-134a in the container? (4 significant figures)

Answers

Given the mass of R-134a m = 300kg; Volume of the container V = 9  cu. meter; Temperature of R-134a T = 10 degrees Celsius; 
Formula of specific volume : v = V / m = 9 / 300 = 0.03 cu. m / kg. 
At T = 10 degrees Celsius from saturated R-134a tables, vf = 0.0007930 cu. m /kg; vg = 0.049403 cu. m/kg. We know v = vf + x (vg - vf), so 0.03 = 0.0007930 + x (0.049403 - 0.0007930), which makes x = 0.601.  
Specific enthalpy of R-134a in the container is h = hf + x*hfg = 65.43 + (0.601 * 190.73). Answer is 180.0587 kJ/kg

Two identical spring-loaded dart guns are simultaneously fired straight forward. one fires a regular dart; the other a weighted dart. which dart goes farther?

Answers

Final answer:

In terms of physics, the regular dart goes further. Despite both darts being fired with the same energy from the spring-operated dart guns, the heavier weighted dart experiences a greater recoil force, which slows it down more than the regular dart.

Explanation:

The question asks which of two darts fired from identical spring-loaded dart guns would go farther: a regular dart or a weighted dart. This relates to the principles of physics, specifically, the concepts of energy conservation and Newton's third law.

In a spring-operated dart gun, energy is stored in the compressed spring and then transferred to the dart when the spring is released. This total energy put into the system is conserved in the closed system of the dart gun and dart, and it is mostly converted into the kinetic energy of the dart (ignoring the system's internal energy losses).

Newton's third law states that for every action, there's an equal and opposite reaction. In this case, the spring's force propels both darts forward. However, the reaction - the backward push on the dart - will be greater for the heavier weighted dart, slowing it more compared to the regular one. Therefore, the regular dart will go further given that it faces less opposing force from the gun itself.

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Holden is trying to determine the velocity of his race car. He went 20 meters east, turned around, and went 40 meters west. He turned the car one more time and went 35 meters east. His car was 15 meters from the starting line. This took 5 seconds. What is the car’s velocity?

Answers

 (15 meters east) / (5 sec) = 3 meters/ sec east

Answer:

3 m /s

Explanation:

Average velocity is defined as the ratio of total displacement to the total time taken. The formula of average velocity is given by

[tex]Average velocity = \frac{Total displacement}{Total time taken}[/tex]

Take east direction is positive and west is negative.

Here the total displacement is

d = 20 - 40 + 35 = 15 m

t = 5 second

Average velocity = 15 / 5 = 3 m/s

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