The recoil speed of the nucleus in the beta decay process is gotten as; 1354.27 m/s
What is the recoil speed?From principle of conservation of momentum, we will have;
Recoil momentum of nucleus = Recoil momentum of emitted particle
We are given;
Mass of electron; m_e = 9.11 × 10⁻³¹ kg
speed of electron; v_e = 3.4 × 10⁷ m/s
Momentum of electron; P = 6.7 × 10⁻²⁴ kg.m/s
Thus;
Momentum of electron ignoring relativistic effect is;
P_f = m_e * v_e
P_f = 9.11 × 10⁻³¹ × 3.4 × 10⁷
P_f = 3.0974 × 10⁻²³ kg.m/s
Resultant momentum is gotten from;
R = √[(3.0974 × 10⁻²³)² + (6.7 × 10⁻²⁴)²]
R = 3.169 × 10⁻²³ kg.m/s
The formula for the recoil speed of the nucleus is;
v = R/m_n
where m_n is mass of neutrino = 2.34 × 10⁻²⁶ kg
v = (3.169 × 10⁻²³)/(2.34 × 10⁻²⁶)
v = 1354.27 m/s
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Final answer:
The recoil speed of the carbon nucleus after beta decay can be determined using the conservation of momentum and is found to be approximately 1381 m/s.
Explanation:
The recoil speed of the nucleus can be calculated using the principle of conservation of momentum, which states that the total momentum of a closed system is constant if no external forces are acting on it. In this case of beta decay, the initial momentum of the stationary carbon nucleus is zero. After decay, the sum of momenta of the electron, neutrino, and recoiling nucleus must also be zero, as momentum is conserved.
The momentum of the electron is given by its mass times its velocity (pe = me x ve), and the momentum of the neutrino is given (pν = 6.70 x 10-24 kg·m/s). The nucleus will recoil with momentum equal in magnitude but opposite in direction to the vector sum of the electron and neutrino momenta. Given that the electron and neutrino are emitted at right angles, we can use the Pythagorean theorem to find the magnitude of the resultant momentum that the nucleus must have:
Calculate the momentum of the electron: pe = me x veUse the Pythagorean theorem to calculate the magnitude of the vector sum of the electron and neutrino momenta: ptotal = √(pe2 + pν2)Since the nucleus must recoil with this magnitude of momentum to conserve momentum, we can find its speed using the recoil momentum and the mass of the carbon nucleus: vnucleus = ptotal / mnucleusFollowing through the calculations:
pe = (9.11 x 10-31 kg) x (3.40 x 107 m/s) = 3.0974 x 10-23 kg·m/sptotal = √((3.0974 x 10-23 kg·m/s)2 + (6.70 x 10-24 kg·m/s)2)ptotal = √(9.59577 x 10-46 + 4.489 x 10-47) kg·m/sptotal = √(1.044577 x 10-45) kg·m/sptotal = 3.23082 x 10-23 kg·m/svnucleus = (3.23082 x 10-23 kg·m/s) / (2.34 x 10-26 kg) = 1.38112 x 103 m/sTherefore, the recoil speed of the nucleus is approximately 1381 m/s.
Two technicians are discussing the IAT sensor. Technician A says that the IAT sensor is more important to the operation of the engine (higher authority) than the ECT sensor. Technician B says that the PCM will add fuel if the IAT indicates that the incoming air temperature is cold. Who is right?
A. Technician A
B. Technician B
C. Both Technician and Technician B
D. Neither A nor B
Answer:
Technician B
Explanation:
Two technicians are discussing the IAT sensor. Technician A says that the IAT sensor is more important to the operation of the engine (higher authority) than the ECT sensor. Technician B says that the PCM will add fuel if the IAT indicates that the incoming air temperature is cold. Who is right?
ECT is the engine coolant temperature
The Intake Air Temperature sensor (IAT) records the temperature of the air entering the engine. The engine computer (PCM) estimates air density so it can balance air air/fuel mixture.PCM will add fuel if the IAT indicates that the incoming air temperature is cold
If you drive through water, your brakes may become slippery and ineffective. To dry the brakes off, __________.
A.) slam on your brakes
B.) increase you speed
C.) apply your brakes gently as you accelerates
D.) pull over and wait for sometime
To dry off your brakes after driving through water, you should apply them gently as you accelerate. This action will evaporate the water through heat created by the friction between the brake pads and rotors, thus restoring your brakes’ functioning.
Explanation:If you drive through water, your brakes can become wet and lose their effectiveness. The best way to dry the brakes off is to C) apply your brakes gently as you accelerate. This method is preferable because it allows the heat generated by the friction between the brake pads and the rotors to evaporate the water, restoring your brakes' effectiveness. It's also important to remember that slamming on your brakes, increasing your speed, or pulling over to wait can be dangerous practices depending on your situation and may not contribute to your brakes' quick recovery.
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To dry off slippery brakes after driving through water, gently apply your brakes while accelerating. This uses frictional heat to dry the brakes gradually and safely. So , Correct option is C.) apply your brakes gently as you accelerates.
If you drive through water, your brakes may become slippery and ineffective. To dry the brakes off, apply your brakes gently as you accelerate.
When your brakes are wet, slamming on them or increasing your speed can be dangerous. Instead, gently applying the brakes while accelerating helps generate heat through friction, which effectively dries the brake components. This ensures your brakes regain their effectiveness gradually and safely.
When a spring is compressed, the energy changes from kinetic to potential. Which best describes what is causing this change?
Answer:Work
Explanation:
When a spring is compressed the energy changes from kinetic to potential energy as Energy cannot be destroyed but can be transformed from one form to another.
This can be best explained with the help of work. Suppose a block with certain kinetic energy comes in contact to the spring its kinetic energy changes to Potential Energy of the spring or we can say that its Kinetic Energy is converted to Potential energy as the block does work on spring.
Block compresses the spring by changing its length and it requires some work which is equal to change in its Potential Energy of spring.
Answer:
A) Work
Explanation:
I just took the test
A 37 kg child on roller skates, initially at rest, rolls 2.0 m down an incline at an angle of 17.0 degrees with the horizontal. If there is no friction between incline and skates, what is the kinetic energy of the child at the bottom of the incline?
Answer:
212.12 J
Explanation:
As the child starts from rest and rolls down on the incline, the potential energy of the child decreases due to decrease in the height. This drops in potential energy appears as an increase in kinetic energy of the child as it gains speed. hence kinetic energy gained by the child at the bottom is same as the potential energy of the child at the top.
[tex]m[/tex] = mass of the child = 37 kg
[tex]L[/tex] = length of the incline surface = 2.0 m
[tex]\theta[/tex] = angle of the incline from the horizontal = 17 deg
[tex]K[/tex] = kinetic energy of the child at the bottom
height of the incline surface is given as
[tex]h = L Sin\theta\\h = (2.0) Sin17.0\\h = 0.585 m[/tex]
[tex]PE[/tex] = Potential energy of the child at the top
Potential energy of the child at the top of incline is given as
[tex]PE = mgh \\PE = (37) (9.8) (0.585)\\PE = 212.12 J[/tex]
Using conservation of energy
Kinetic energy at the bottom = Potential energy at the top
[tex]K = PE\\K = 212.12 J[/tex]
To find the kinetic energy of the child at the bottom of the incline, calculate the potential energy at the top and equate it to the kinetic energy at the bottom due to energy conservation, as there is no friction.
Explanation:The subject of this question is Physics, specifically focusing on the topics of energy and motion on inclines. To find the kinetic energy of the child at the bottom of the incline, you would need to calculate the potential energy at the top of the incline and assume it transforms into kinetic energy at the bottom due to conservation of energy, as there is no friction to dissipate it.
To calculate the potential energy (PE) at the top of the incline, you can use the formula: PE = mgh, where m is the mass of the child, g is the acceleration due to gravity (9.8 m/s2), and h is the height of the incline.
The height can be found using trigonometry, since h = s sin(θ), where s is the length of the incline and θ is the angle of the incline with respect to the horizontal. Once you find the PE, this will equal the kinetic energy (KE) at the bottom of the slope, so KE = PE. Plug in the values (mass of 37 kg, length of the slope 2.0 m, angle 17 degrees) to solve for the kinetic energy.
What additional steps might be included in the eap for a wave pool, a winding river and the landing zone of a speed slide?
Explanation:
Following are the steps taken
1. To turn off the wave in the wave pool press the emergency turn off button (E-stop).
2. Winding of river or shutting off flow of water in the slide.
3. Dispatch of riders at speed slide is stopped.
Suppose a manufacturing error occurred and the oven was made 4.0 cm longer than specified in part (a). In this case, what would have to be the frequency of the microwaves for there still to be five antinodal planes of the electric field along the width of the oven?
Answer:
2.17*10^9 Hz
Explanation:
Suppose a manufacturing error occurred and the oven was made 4.0 cm longer than specified in part (a). In this case, the frequency of the microwaves for which there are five antinodal planes of the electric field along the width of the oven is calculated as shown below.
In the given question, we have the following variables:
speed = c = 3*10^10 cm/s
wavelength = λ = 12.2+(4/2.5) = 13.8 cm
Using the equation that relates frequency, wavelength, and speed. We have:
f = c/λ = 3*10^10/13.8 = 2.17*10^9 Hz
Therefore, the frequency of the microwave is 2.17*10^9 Hz.
Two cars started from the same point and traveled on a straight course in opposite directions for 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster than the other car, what was the average speed of each car for the 2-hour trip?
Answer
given,
time of travel = 2 hours
distance between the two car = 208 miles
one car traveled 8 miles per hour faster than other.
speed of both the car =?
Let speed of one car = x
speed of the second car = x + 8
distance = speed x time
distance = 2 x..............(1)
distance = 2(x+8)...........(2)
total distance = 208 miles
2 x + 2(x + 8) = 208 miles
2 x + 8 = 104
2x = 96
x = 48 mile/h (1st car)
x + 8 = 56 mile/hr(2nd car)
hence, speed of both the vehicle is given above.
Some workers are trying to lift up to the third floor of a building, which is 8.0 meters above the ground. The piano is 500 kg what is the weight of the piano
Answer:
Weight = 4900 N
Explanation:
Given:
Mass of the piano is, [tex]m=500\ kg[/tex]
Acceleration due to gravity is, [tex]g=9.8\ m/s^2[/tex]
Height to which the piano is raised is 8.0 m.
We are asked to determine the weight of the piano.
We know that, weight of a body is nothing but gravitational force acting on it by the center of Earth. It is equal to the product of mass and acceleration due to gravity.
Weight is independent of height til the height is very less than the radius of Earth. At very high altitudes which are comparable to the radius of Earth, the value of 'g' changes and hence the weight. But, here the height is very small and hence the value of 'g' equals 9.8 m/s² only.
Thus, weight of the piano is given as:
Weight = Mass [tex]\times[/tex] Acceleration due to gravity
Weight = [tex]mg[/tex]
Weight = [tex](500\ kg)(9.8\ m/s^2)=4900\ N[/tex]
Weight is a force so, its unit is same as that of force and hence it is measured in Newtons.
Therefore, the weight of the piano is 4900 N.
the planet neptune is approximately 4.5*10^9 kilometers from the sun. The planet Venus is approximately 1.1*10^8 kilometers from the sun. Which is the best estimate of how many times as far from the sun Neptune is as Venus?
Answer:
Neptune is approximately 41 times as far from the sun as Venus
Explanation:
Estimate = distance of Neptune from the sun ÷ distance of Venus from the sun = 4.5×10^9 ÷ 1.18×10^8 = 40.9 (approximately 41)
Neptune is approximately 41 times farther from the sun than Venus.
The best estimate of how many times as far from the sun Neptune is as Venus is approximately 40 times.
To find this, you can divide the distance of Neptune from the sun by the distance of Venus from the sun:
Neptune distance / Venus distance = 4.5*10^9 km / 1.1*10^8 km = 41
The Hubble constant, $H_{0}$, is the ratio of the recessional velocity of a galaxy to its distance. The Hubble constant is estimated to be 70 km/sec per million parsecs of distance. (One parsec is equal to 3.26 light years.) Based on this ratio, how many billions of light years away would a galaxy be if it had a recessional velocity of 300,000 km/sec?
Answer:
14 billion light years away
Explanation:
v = Recessional velocity = 70km/s/million parsec
D = Proper distance
Hubble constant
[tex]70\ km/s=3260000\ ly\\\Rightarrow 1\ km/s=\dfrac{3260000}{70}\ ly[/tex]
From Hubble's law we have the relation
[tex]v=H_0D\\\Rightarrow D=\dfrac{v}{H_0}\\\Rightarrow D=\dfrac{3260000}{70}\times 300000}\\\Rightarrow D=13971428571.42857\ ly[/tex]
The distance in light years of the galaxy is 14 billion light years away
Why do scientists often take several measurements of the same object, average them together, and use the average value as the measurement?
Answer:
To minimize the practical errors and improve the accuracy.
Explanation:
Scientists take several measurements and use the average of all the measured values to minimize the practical errors due to unavoidable circumstances and be close to the true value.True value is the actual value of a measured parameter without any error, it is the value which is proposed in the design of a certain object.Variations may occur in the measurement due to wear and tear, dust and air pressure. It is almost impossible to create ideal surrounding for the measurement procedure.The world's fastest humans can reach speeds of about 11 m/s.In order to increase his gravitational potential energy by an amount equal to his kinetic energy at full speed, how high would such a sprinter need to climb?
Answer:
The sprinter need to climb 6.17 m
Explanation:
From the question,
Ep = Ek...................... Equation 1
Where Ep = potential energy, Ek = kinetic energy.
therefore,
mgh = 1/2mv².................... Equation 2
Where m = mass of the human, v = speed, h = height, g = acceleration due to gravity.
making h the subject of formula in equation 2
h = 1/2v²/g...................... Equation 3
Given: v = 11 m/s
Constant: g = 9.8 m/s²
Substituting these values into equation 3,
h = 1/2(11²)/9.8
h = 6.17 m.
Therefore the sprinter need to climb 6.17 m
With regard to carburetor ice, float-type carburetor systems in comparison to fuel injection systems are generally considered to be_____________.
Answer:
more vulnerable to icing
Explanation:
The main disadvantage of float-type carburetor is its susceptibility to icing which occurs when there is fuel vaporization and decrease in air pressure in the venturi, which causes a sharp temperature drop in the carburetor. This fuel vaporization occurs within the cylinder of a fuel-injected engine and makes fuel injection system less susceptible to icing.
Float-type carburetor systems are more prone to carburetor ice compared to fuel injection systems due to the nature of their design. With regard to carburetor ice, float-type carburetor systems are generally considered to be more susceptible to icing than fuel injection systems.
Carburetor ice occurs when moisture in the air freezes at the narrow throat of a carburetor during the fuel vaporization process, which can lead to engine malfunction or failure. The design of float-type carburetors, where fuel is mixed with air before it enters the intake manifold, creates conditions that are conducive to icing, particularly in cold and damp conditions. Fuel injection systems, on the other hand, typically introduce fuel further downstream and usually directly into the combustion chamber or just before the intake valve, which reduces the likelihood of ice formation. Furthermore, these systems operate without the need for a venturi or carburetor throat, minimizing the potential for ice to form within the system.
Approximately how far is the sun from the center of the galaxy?
Answer:
About 8 kpc
Explanation:
The milky way galaxy is the galaxy we live in. Its composed of the solar system, billion stars, gas, dust and dark matter.
At its center it contains a super massive black hole called Sagittarius. This object is millions of times as massive as the sun.
The sun is about 8 kpc to the center of the milky way galaxy, this is about 26,000 light years away.
1000 parsecs distance is approximately 3262 light years.
A light year is the distance light can travel in a period of 1 year.
One object is fired at an angle of ten degrees above the horizontal. A second object is fired at an angle of ten degrees below the horizontal, and a third is fired in an exactly horizontal direction. All three are fired at the same time, but with different (and nonzero) speeds. Neglect air resistance and assume that the objects are fired over a perfectly level plain. Which of the objects strikes the ground first?
Answer:
The fired object at an angle of ten degrees below the horizontal
Explanation:
The second object strikes the ground first because independently of the magnitude of the speeds, this object has a speed component in the direction toward the floor allows it to reach the ground faster than the other objects.
Then the answer is:
The fired object at an angle of ten degrees below the horizontal
The Mesozoic Era is a time in Earth history when ________.
A. the first abundant shelly organisms appeared in the fossil record
B. Earth’s interior was so hot that a solid outer crust, if present, was likely being extensively remelted
C. stable continental interiors, termed cratons, first formed
D. the dinosaurs appeared and came to dominate large-scale terrestrial life
Answer:
D. the dinosaurs appeared and came to dominate large-scale terrestrial life
Explanation:
The Mesozoic Era is a time in Earth history when
D. the dinosaurs appeared and came to dominate large-scale terrestrial life
The Mesozoic Era is the dinosaur age and lasted from approximately 250 to 65 million years ago for nearly 180 million years. This era includes three well-known periods called the periods of Triassic, Jurassic, and Cretaceous. A mass extinction marked the Mesozoic Era's beginning and end.
The kinetic energy of a car is 8 × 106 J as it travels along a horizontal road. How much power is required to stop the car in 10 s?
Answer:
The power required to stop the car = 8 × 10⁵ watt.
Explanation:
Kinetic Energy: This is the energy of a body in motion. The S.I unit of energy is Joules (J).
Power: These is defined as time rate of doing work, or it can be defined as the time rate of transfer of energy. The S.I unit of power is Watt (W).
Mathematically, power can be expressed as
Power = Energy/time
P = E/t................. Equation 1
Given: E = 8×10⁶ J, t = 10 s
Substituting these values into equation 1,
p = 8×10⁶/10
p = 8 × 10⁵ watt.
Therefore the power required to stop the car = 8 × 10⁵ watt.
The power required to stop the car along the horizontal road is 8 × 10⁵ watt.
Kinetic Energy:
It is the energy of a object or body due to its motion. It is measured in Joules (J).
Power:
It can be defined as the time rate of transfer of energy. It is measured in Watt (W).
P = E/t
Where,
P - Power =
E - Energy = 8×10⁶ J
t - time = 10 s
Put the values into the formula,
p = 8×10⁶/10
p = 8 × 10⁵ watt.
Therefore, the power required to stop the car along the horizontal road is 8 × 10⁵ watt.
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Consider the total amount of light collected by a 4-m telescope observing a star for 10 minutes. If you wanted to collect the same amount of light with a 2-m telescope, how long would you have to observe?
The amount of light a telescope collects is proportional to the square of its diameter. A 2-m telescope would need four times as long to collect the same amount of light as a 4-m telescope. Therefore, it would take 40 minutes for a 2-m telescope to collect the same amount of light that a 4-m telescope can in 10 minutes.
Explanation:The amount of light collected by a telescope is proportional to the square of its diameter. In other words, a telescope with twice the diameter will collect four times as much light. Hence, a 4-m telescope will collect light four times as fast as a 2-m telescope, given that everything else (including observational conditions) remains constant.
This means that to collect the same amount of light, a 2-m telescope would need four times longer than a 4-m one. So, if a 4-m telescope collects a certain amount of light in 10 minutes, a 2-m telescope would need 40 minutes to collect the same amount of light.
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What effect did printing with movable type have on people during the Renaissance?
Answer: He didn't invent printing. He didn't even invent movable type. He often ran into legal trouble and, when he died in 1468, he did so with little money or glory.
Explanation:
The introduction of movable type printing during the Renaissance, particularly Gutenberg's press, greatly expanded access to information, decreased the cost of books, and increased literacy rates. It allowed for the spread of revolutionary ideas, facilitating movements like the Protestant Reformation and contributing to the rise of humanism and skepticism. This technological advancement changed society drastically and laid the foundation for modern information dissemination.
Explanation:The Impact of Movable Type Printing During the Renaissance
The advent of printing with movable type during the Renaissance was a pivotal moment in history that dramatically changed how people accessed and consumed information. Johannes Gutenberg's advancement in Europe allowed for the mass production of texts, breaking the monopoly of knowledge held by religious and noble authorities. This innovation spurred the spread of ideas, fostering literacy, education, and the invention of print media. It contributed to major societal shifts, including the Protestant Reformation, the rise of humanism, and the challenge to traditional authorities by thinkers like Machiavelli and Galileo.
The printing press's multiplication of texts made books cheaper and more available, resulting in a significant increase in literacy rates across Europe. Schools could provide more reading material to students, and adults had easier access to a variety of writings. The flourishing of ideas and the diffusion of classical and critical texts contributed to the philosophical movement of humanism and skepticism toward established doctrines. This laid the groundwork for the development of national identities and movements such as the Protestant Reformation, where figures like Martin Luther could disseminate their ideas widely.
By 1480, nearly every large European city boasted at least one printing press, with Venice being particularly noted as a hub for printing. The design of fonts and standardized printing processes are part of Gutenberg's lasting legacy. In parallel, the consequences of this invention on knowledge and information flows are considered a precursor to the modern Age of Enlightenment and our current information age.
Which of the following are generally characteristic of carbon/graphite fiber composites?1. Flexibility.2. stiffness.3. high compressive strength.4. Corrosive effect in contact with aluminum.5. Ability to conduct electricity.A. 1 and 3B. 2,3 and 4.C. 1,3, and 5.
Answer:
option B
Explanation:
The correct answer is option B
Carbon/graphite fiber composite is a polymer composite which is five times stronger than the mild steel and five-time more lighter than it.
This material has a high-temperature resistant quality, it works as a high insulator. The material does not melt at high temperatures. And the material is also corrosive resistant but has a corrosive effect when contact with aluminum.
Hence, we can say that Carbon/graphite fiber has high stiffness, high compressive strength, and have a corrosive effect in contact with aluminum.
Final answer:
Carbon/graphite fiber composites are known for their stiffness, high compressive strength, and ability to conduct electricity, characteristics derived from the structure of graphite itself.
Explanation:
The characteristics of carbon/graphite fiber composites are influenced by the structure of graphite itself. Graphite is structured in layers of carbon atoms connected in a hexagonal lattice. Each carbon atom in graphite forms three σ bonds with neighboring carbon atoms using sp² hybridized orbitals, and the fourth unhybridized p orbital participates in bonding, spreading the electron density over the entire layer, which allows the material to conduct electricity.
Due to the weak van der Waals forces holding the layers together, graphite is soft and has lubricating properties, allowing the layers to slide over each other easily. This structural characteristic of graphite is crucial in forming composites that often possess properties such as stiffness, high compressive strength, and the ability to conduct electricity.
How many estimates are used in the calculation of depreciation?
Answer:
Two estimates
Explanation:
There are mainly two estimates used in the calculation of depreciation such as the useful life and the salvage value of an asset. The salvage value is defined as the predicted amount that will be obtained by a company from an asset when it is disposed at the end of the useful life of the particular asset. On the other hand, the useful life commonly refers to the estimation of how long the asset is useful for the company. This is different from the lifespan of the asset.
Answer: The correct answer is : There are several methods to calculate depreciation, such as: straight line, activity or units produced, sum of annual digits and double share on the decreasing value.
Explanation: The most commonly used methods are, the linear method, where the original cost of an asset is divided by its estimated useful life to find the amount to be amortized each year and also the accelerated depreciation method is used in which more depreciation is provided the first years of useful life of the asset and for the remaining years a lower depreciation is assigned. This method in turn can be: doubly decreasing balance (200%), 150% decreasing balance, 125% decreasing balance and digits of the sum of the years.
True or False: If your gas pedal jams, you should turn the key to lock to lock the steering wheel.
Answer:False
Explanation:
Turn the key to lock is not advisable as it lock the steering wheel and may create a dangerous situation.
Following steps can be taken in this situation
Try to press the brake to stop the vehicleShift gear to neutral in order to cease the acceleration of car.Try to lift the gas pedal in order to decrease the velocity of car.A flight attendant pulls a suitcase 250.0 m along a level airport floor with a force of 30.0 n at an angle of 50.0 above the horizontal. How much force is done on the flight bag
Answer:
4820.9 J of work is done on the flight bag.
Explanation:
Given:
Force acting on the bag is, [tex]F=30.0\ N[/tex]
Displacement of the bag caused by the force is, [tex]S=250.0\ m[/tex]
Angle between the direction of force and direction of displacement caused is, [tex]\theta = 50\°[/tex]
Now, the formula to calculate work done on a body by a force 'F' causing displacement 'S' at an angle [tex]\theta[/tex] between the two vectors is given as:
[tex]W=FS\cos \theta[/tex]
Plug in the given values and solve for work done 'W'. This gives,
[tex]W=(30.0\ N)(250.0\ m)(\cos 50)\\W=4820.9 \textrm{ N-m or 4820.9 J}[/tex]
Therefore, the work done on the flight bag is 4820.9 J.
A student was producing 75 watts of power while applying a constant force of 225 newtons to slide a box of books 2.0 meters across the floor. How long did it take the student to slide the box of books?
Answer:
time taken = 6 secs
Explanation:
Power (P) = Force(F) * displacement(d)/ TIME (t)
75= 225 * 2.0/t
t= 225*2/75
t= 6 sec
When loading your muzzleloading firearm, why is it important to eliminate any air space between the projectile and the powder charge?
Answer:
Explanation:
When loading muzzle-loading firearm it is important to eliminate any air space between the projectile and the powder charge because it may create dangerous pressure build inside the muzzle.
The high amount of Pressure build-up may backfire the bullet and may cause harm to the fireman. It creates a high magnitude impulse on the fireman which can be dangerous for his body parts. High pressure may also explode the gun powder on the spot and causes a fire.
in the northern hemisphere the magnetic compass will normally indicate a turn toward the west.
Answer:
in the northern hemisphere the magnetic compass will normally indicate a turn toward the west if "A right turn is entered from a North Heading"
Explanation:
The face towards which the magnetic needle aligns are north and south magnetic poles. The magnetic compass does not work in southern hemisphere, because of the fact opposite poles attract. Exactly while turning right due to the opposite force the magnetic needle will deviate. Magnetic deviations do occur because of the presence of magnetized iron in the ship and also in aircraft. The magnetic north is not the actual or the exact north pole.
A fully loaded, slow-moving freight elevator has a cab with a total mass of 1700 kg, which is required to travel upward 45 m in 2.1 min, starting and ending at rest. The elevator's counterweight has a mass of only 840 kg, so the elevator motor must help pull the cab upward. What average power is required of the force the motor exerts on the cab via the cable?
Answer:
3,010 W
Explanation:
mass of elevator (Me) = 1700 kg
mass of counter weight (Mc) = 840 kg
travel distance (d) = 45 m
time (t) = 2.1 min = 126 s
What average power is required of the force the motor exerts on the cab via the cable?
from Newtons second law of motion
force exerted by the elevator motor + force exerted by the elevator counter weight = force exerted by the elevator cab weight
therefore
force exerted by the elevator motor = force exerted by the elevator counter weight - force exerted by the elevator cab weight
force exerted by the elevator motor (Fm) = (Me x g) - (Mc x g)
force exerted by the elevator motor (Fm) = (1700 x 9.8) - (840 x 9.8)
force exerted by the elevator motor (Fm) = 8428 N
average power exerted by the motor = Fm x speed
where speed = distance / time
average power exerted by the motor = Fm x (distance / time)
average power exerted by the motor = 8428 x (45/126) = 3,010 W
Suppose that you're facing a straight current-carrying conductor, and the current is flowing toward you. The lines of magnetic force at any point in the magnetic field will act in:________
a. the same direction as the current.
b. a clockwise direction.
c. a counterclockwise direction.
d. the direction opposite to the current.
Answer:c
Explanation:
When the direction of current is towards the observer then the magnetic field around it will be in the form of concentric circles and its direction will be anti-clockwise when viewed from the observer side.
Whenever current is flowing in a current-carrying conductor then the magnetic field is associated with it and direction of the magnetic field is given by right-hand thumb rule according to which if thumb represents the direction of current then wrapping of fingers will give the direction of the magnetic field
A ball is thrown horizontally from the top of a building 30.2 m high. The ball strikes the ground at a point 94.7 m from the base of the building. The acceleration of gravity is 9.8 m/s 2 . Find the time the ball is in motion. Answer in units of s. 015 (part 2 of 4) 10.0 points Find the initial velocity of the ball. Answer in units of m/s. 016 (part 3 of 4) 10.0 points Find the x component of its velocity just before it strikes the ground. Answer in units of m/s. 017 (part 4 of 4) 10.0 points Find the y component of its velocity just before it strikes the ground. Answer in units of m/s.
Answer:
1) The ball is in motion for 2.48 seconds.2) Initial velocity of ball is 38.16 m/s 3) x component of velocity before hitting the ground is 38.16 m/s 4) y component of velocity before hitting the ground is 24.33 m/sExplanation:
1) Consider the vertical motion of ball
Displacement, s = 30.2 m
Initial velocity, u = 0 m/s
Acceleration, a = 9.81 m/s²
Substituting in s = ut + 0.5 at²
30.2 = 0 x t + 0.5 x 9.81 x t²
t = 2.48 s
The ball is in motion for 6.16 seconds.
2) Consider the horizontal motion of ball
Displacement, s = 94.7 m
Time, t = 2.48 s
Acceleration, a = 0 m/s²
Substituting in s = ut + 0.5 at²
94.7 = u x 2.48 + 0.5 x 0 x 2.48²
u = 38.16 m/s
Initial velocity of ball = 38.16 m/s
3) x component of velocity will not change since acceleration is zero along x direction.
x component of velocity before hitting the ground = 38.16 m/s
4) Consider the vertical motion of ball
Initial velocity, u = 0 m/s
Acceleration, a = 9.81 m/s²
Time, t = 2.48 s
Substituting in v = u + at
v = 0 + 9.81 x 2.48
v = 24.33 m/s
y component of velocity before hitting the ground = 24.33 m/s
Final answer:
The time the ball is in motion is 2.18 seconds. The initial velocity of the ball is 43.47 m/s. The x component of the velocity just before it strikes the ground is 43.47 m/s and the y component of the velocity is 21.36 m/s.
Explanation:
To find the time the ball is in motion, we can use the equation h = 0.5 * g * t^2, where h is the height of the building, g is the acceleration due to gravity, and t is the time. Rearranging the equation, we get t = sqrt(2h/g). Substituting the given values, the time the ball is in motion is sqrt(2 * 30.2 / 9.8) = 2.18 seconds.
The initial velocity of the ball can be found using the equation v = d / t, where v is the velocity, d is the horizontal distance, and t is the time. Rearranging the equation, we get v = d / t. Substituting the given values, the initial velocity of the ball is 94.7 / 2.18 = 43.47 m/s.
The x component of the velocity just before the ball strikes the ground is equal to the initial velocity, since there is no horizontal acceleration. Therefore, the x component of the velocity is 43.47 m/s.
The y component of the velocity just before the ball strikes the ground can be found using the equation v = u + gt, where v is the final velocity, u is the initial velocity, g is the acceleration due to gravity, and t is the time. Rearranging the equation, we get v - u = gt. Substituting the given values, the y component of the velocity is 9.8 * 2.18 = 21.36 m/s.
Sachin Tendulkar is a very famous batsman. He has curly hair and is short in height. His wife is a doctor. He has 2 children. Which of these is MOST LIKELY TO BE TRUE about his children? A. They may marry doctors B. They may have 2 children C. They may be short in height D. They may become famous batsmen
Answer:
C) As Sachin Tendulkar is short in height himself, these genes of short height may get transferred in to his children. Most likely.
Explanation:
All the above options except one cannot be genetically determined.
A) This option is absolutely absurd because how can Sachin Tendulkar's information determine who is children are gonna marry
B)It cannot be determined.
C) As Sachin Tendulkar is short in height himself, these genes of short height may get transferred in to his children. Most likely.
D) Sachin Tendulkar is a famous batsman that does not mean his children also have to be famous batsmen