The u1 =initial speed of the bullet= 490.86 m/sec is the correct answer.
What is linear momentum?Linear momentum is a vector quantity that describes an object's motion through space. It is calculated by multiplying the mass of an object by its velocity. Momentum is conserved in closed systems, meaning that it is not changed by any action within the system. This makes it a very useful tool for analyzing the motion of objects and predicting their behavior. Momentum can be transferred between objects, and is often used to describe collisions. It is also used to describe the effects of forces on objects, such as how a force can cause an object to accelerate or decelerate. Momentum is an important concept in physics, and can be used to describe a variety of physical phenomena.
Using conservation of linear momentum, we write
m1u1 + m2 u2 = m1 v1 + m2v2
where u1 ,u2 are the initial velocities of masses m1 and m2
where v1 ,v2 are the final velocities of masses m1 and m2
hence (.007) (u1) + 1.5(0) = 1.5(v2) + .007(200).........................1
using energy equation for the block alone we get
mgh = 1/2 m (v2)^2
hence 9.8(.094) =.5 (v2)^2
hence v2=1.357 m/sec
substitute it in 1
we get,
u1 =initial speed of the bullet= 490.86 m/sec
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If you are on a boat in the trough of a wave on the ocean, and the wave amplitude is 1 meter, what is the wave height from your position?
Group of answer choices
4 meters 2 meters .5 meters 1 meter
Answer:
2 meters
Explanation:
In oceanography, the term "wave height" refers to the vertical distance between the crest (the highest point) and the trough (the lowest point) of a wave. If you are situated in the trough of a wave, the wave height would be double the wave amplitude.
In this case, you mentioned that the wave amplitude is 1 meter. Therefore, the wave height from your position in the trough would be 2 meters.
A boy is exerting a force of 70 N at a 50-degree angle on a lawn mower. He is accelerating at 1.8 m/s2. Round the answers to the nearest whole number.
What is the mass of the lawn mower?
⇒ 25 kg
What is the normal force exerted on the lawn mower?
⇒ 299 N
Explanation:
Given that,
Force, F = 70 N
Angle, \(\theta=50^{\circ}\)
Acceleration of the boy, a = 1.8 m/s²
(a) Net force is equal to the product of mass and acceleration. So,
\(m=\dfrac{F}{a}\\\\m=\dfrac{70}{1.8}\\\\m=38.89\ kg\)
(2) Normal force = upward force
So,
\(F=mg\cos\theta\\\\F=38.89\times 9.81\times \cos(50)\\F=245.23\ N\)
Hence, mass is 38.89 kg and the normal force is 245.23 N.
c)
If from rest, Amirul starts to walk to Boon Chun's house and reach there in 30 seconds, what is
his acceleration?
Answer\(:0.178\ m/s^2\)
Explanation:
Given
Amirul starts from rest(u=0) to reach Boon chun house which is 80\ m away from School
acceleration of Amirul is given by
\(s=ut+\frac{1}{2}at^2\)
Where
s=displacement
u=intial velocity
a=acceleration
t=time
here \(t=30\ s\)
Substituting values we get
\(80=0+\frac{1}{2}\times a\times (30)^2\)
\(a=\frac{2\times 80}{900}\)
\(a=\frac{160}{900}=0.178\ m/s^2\)
A bridge 148.0 long is built of a metal alloy having a coefficient of expansion of 12.0 x 10-6/K. If it is built as a single, continuous structure, by how many centimeters will its length change between the coldest days (-29.0) and the hottest summer day (41.0)?
The change in length of the bridge between the coldest and hottest days is approximately 31.392 centimeters.
To calculate the change in length, we can use the formula: ΔL = α * L0 * ΔT, where ΔL is the change in length, α is the coefficient of linear expansion, L0 is the initial length, and ΔT is the temperature difference. Plugging in the values: α = 12.0 x 10^-6/K, L0 = 148.0 meters, and ΔT = 41.0°C - (-29.0)°C = 70.0°C, we can calculate ΔL as follows: ΔL = (12.0 x 10^-6/K) * (148.0 meters) * (70.0°C) = 0.12408 meters. Converting to centimeters, the change in length is approximately 31.392 centimeters.
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A boat that can travel with a velocity of 12 m/s in still water is moving at maximum speed against the current of a stream that flows with a velocity of 5 m/s relative to the Earth. What is the velocity of the boat relative to the bank of the stream
The velocity of the boat relative to the bank of the stream is 7 m/s.
What is the boat's velocity relative to the bank of the stream?To determine the velocity of the boat relative to the bank of the stream, we need to subtract the velocity of the stream from the velocity of the boat. In this case, the boat can travel at a velocity of 12 m/s in still water, but it is moving against a stream that flows with a velocity of 5 m/s relative to the Earth. Since the stream's velocity is in the opposite direction of the boat's motion, we subtract 5 m/s from 12 m/s to find that the boat's velocity relative to the bank of the stream is 7 m/s.
When we calculate the boat's velocity relative to the bank, we are considering the boat's motion with respect to a fixed point on the bank of the stream. This calculation accounts for the effect of both the boat's own velocity and the velocity of the stream. The result, in this case, is a velocity of 7 m/s, indicating the speed at which the boat is moving relative to the stationary bank of the stream.
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Two rocks of masses 5 kg and 10 kg a dropped from rest from a height of 20 m above ground. Ignore all friction and air resistance. Just before
they hit the ground, which statement is true about the rocks?
(A) The value for the acceleration of the 5 kg rock is the same as the value for the 10 kg rock, but their velocity values are different.
(B) The values for the acceleration and velocity of the 5 kg rock are greater than the values for the 10 kg rock.
(C) The values for the acceleration and velocity of the 5 kg rock are less than the values for the 10 kg rock.
(D) The values for the acceleration and velocity of the 5 kg rock are the same as the values for the 10 kg rock.
Answer:
D
Explanation:
F=ma
F of 5 kg rock = 49N
F of 10 kg rock = 98 N
Divide by respective masses to get acceleration, and of course you will get 9.8 m/s^2 for both.
Now, use potential energy equals kinetic energy. mgh=(1/2)mv^2 mass cancels out of the equation, since it's on both sides, so we can stop right there. We have algebraically determined that mass does not affect acceleration or velocity!
Hope this helped.
Explain the process by which charge is transferred and provide evidence
The process of transferring charge from a charged body to earth is called earthing and the process involves the transfer of electrons that occurs when an electron relocates from an atom or molecule to a different such entity.
What is a Charge?This is referred to as the property of subatomic particles that causes it to experience a force when placed in an electric and magnetic field.
Earthing is a method and it is a process is carried out by connecting the neutral or non-current carrying part of the equipment to the ground or other substances and the evidence involves touching of a charged particle to a conductive material which leads to the charges being transferred from the charged material to the conductor such that particles with the same charge will repel.
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on the celestial sphere, which of the following terms are specific to the observer (that is, they are unique for unique observers)? (choose all that apply.) select one or more: a. celestial equator b. north celestial pole c. nadir d. meridian e. horizon f. zenith g. ecliptic
The terms specific to the observer are e, f, and g. The ecliptic is the path that the Sun appears to follow across the sky throughout the year as viewed from Earth.
The horizon is an imaginary line that marks the point where the sky and the Earth's surface seem to meet. The zenith is an imaginary point directly overhead from the observer's location.
The celestial equator is an imaginary line that runs around the celestial sphere, dividing it into two hemispheres. The north celestial pole is the point directly above the observer's north horizon. The nadir is an imaginary point directly below the observer's location.
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4. How has the development of integrated photonics helped increase network
speeds?
The development of integrated photonics has been a key factor in increasing network speeds by enabling the transmission of large amounts of data over optical fibers.
What are integrated photonics?photonics refers to the technology of creating optical devices and systems using semiconductor fabrication techniques, similar to those used in the production of electronic integrated circuits.
One of the most significant contributions of integrated photonics to increasing network speeds is the creation of photonic integrated circuits (PICs). PICs are made up of multiple optical components, such as lasers, modulators, and detectors, integrated onto a single chip. This integration enables faster and more efficient communication between the components, reducing signal loss and improving overall performance.
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A lamp bulb is rated at 100 W. Why is a time factor not included in the rating? a) Energy considerations do not include time. b) It is included since a watt is a J/s. c) Time is not important when considering power. d) A watt is understood to mean watts per hour.
In this context, "factor" refers to an element that contributes to the rating, and "power" refers to the rate at which energy is transferred or converted. The time factor is already included in the power rating of a lamp bulb because power is measured in watts (W), and a watt is equivalent to one joule per second (J/s). This means that the 100 W rating of the lamp bulb already accounts for the energy consumption per unit of time (1 W = 1 J/s).
The answer is c) Time is not important when considering power. Power is defined as the rate at which energy is transferred or work is done, and is measured in watts. It does not take into account how long the transfer or work occurs. Therefore, a lamp bulb's power rating is simply 100 watts and does not include any time factor.
Hi! I'd be happy to help you with your question. The correct answer is:
b) It is included since a watt is a J/s.
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Read the scenario below and answer the question that follows.
Daniel has been describing situations about being stalked by a government agency that is trying to recover information implanted in his brain. He will also babble incoherently, soil his clothing with excrement, and hold a statue-like pose for hours at a time.
Daniel can most likely be diagnosed with __________ schizophrenia.
A.
paranoid
B.
catatonic
C.
disorganized
D.
undifferentiated
Please select the best answer from the choices provided
A
B
C
D
Answer:
Its D
Explanation:
you're welcome
In this case, Daniel can most likely be diagnosed with undifferentiated schizophrenia (Option D).
What is schizophrenia?Schizophrenia is a mental disorder characterized by disturbance in the cognitive processes of the individual.
Schizophrenia is generally a progressive mental disease where a person suffers emotional disturbance.In conclusion, Daniel can most likely be diagnosed with undifferentiated schizophrenia (Option D).
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How many gram of coffee mut evaporate from 750 g of coffee in a 120 g gla cup to cool the coffee from 95. 0°C to 48. 0°C? You may aume the coffee ha the ame thermal propertie a water and that the average heat of vaporization i 2340 kJ/kg (560 cal/g). (You may neglect the change in ma of the coffee a it cool, which will give you an anwer that i lightly larger than correct. )
65 grams of coffee must evaporate.
Here, we use the formula of heat transfer
Heat loss by the system = heat gain by the system
We need to calculate the heat loss by the coffee and glass itself individually
Heat loss by glass
Heat loss by glass = mass of glass * specific heat capacity *change in temperature
= (120/1000 Kg)* (840)* (48 - 95)
= - 4737.6 J
Heat loss by the glass is -4737.6 J
Similarly we calculate heat loss by coffee
Heat loss by coffee = mass of coffee * specific heat capacity * change in temperature
= (750/1000 Kg) * ( 4184) *( 48 - 95)
= - 147486 J
Heat loss by coffee is - 147486 J
Total heat loss = Heat loss by coffee + Heat loss by glass
= -152223.6 J
evaporation of liquid = Amount of heat loss
Mass of evaporation * Latent heat = 152223.6 J
Mass of evaporation = 152223.6 / 2340*1000
Mass of evaporation = 0.06505 Kg = 65.05 gram
Hence, 65 grams of coffee evaporates.
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Which gas makes up approximately 1% of Earth’s atmosphere?
Answer:
Argon is the third most abundant gas in our atmosphere, making up about one percent in terms of moles of gas.
Explanation:
Roughly, our atmosphere is 78% nitrogen, 21% oxygen, 1% argon, and trace amounts of many other gases plus variable amounts of water vapor.
Why does 250 N not push an object when frictional force is 188 N while 251 N is pushing with fast acceleration.
Due to the difference in net force delivered to the item in each situation, 250 N cannot push an object while the frictional force is 188 N, whereas 251 N may push the identical thing with rapid acceleration.
When there is friction, what happens to acceleration?When friction is present, an object may continue to travel at a steady speed despite the application of an external force. The friction force simply balances the applied force in this scenario. There is no acceleration since there is no net force.
Does friction increase as you go faster?No, acceleration has no impact on the kinetic friction coefficient. The type of surfaces that make contact with one other and not the speed at which they are travelling determine the coefficient of kinetic friction, which is constant.
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What made ancient Rome special?
Answer:
Rome became the most powerful state in the world by the first century BCE through a combination of military power, political flexibility, economic expansion, and more than a bit of good luck. This expansion changed the Mediterranean world and also changed Rome itself.
Explanation:
A pressure washer uses a high-velocity jet of water to clean surfaces. Every second, 17.0kg of water is expelled at a velocity of 24.0m⋅s−1. What is the magnitude of the force from the water onto a surface? Assume that the water velocity is reduced to zero when it hits a surface. Give your answer in Newtons, correct to three significant figures, without a unit.
This question involves the concepts of Newton's Second Law of Motion and Momentum.
The magnitude of the force from the water onto the surface is "408".
According to
Newton's Second Law of Motion:\(F=\frac{\Delta P}{t}\)
where,
F = Force = ?ΔP = Change in Momentum = \(m(v_f-v_i)\) t = time interval = 1 sm = mass = 17 kgvf = final speed = 0 m/svi = initial speed = 24 m/sTherefore,
\(F=\frac{\Delta P}{t}=\frac{m(v_f-v_i)}{t}\\\\F=\frac{(17\ kg)(0\ m/s-24\ m/s)}{1\ s}\\\\F=-408 N\)
The negative sign shows reaction force.
F = 408
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If an object has a mass of 15 kg and has a weight of 30 N, on some remote
planet, what would be the acceleration due to gravity on that planet?
Which of the following would be the best way to calculate the volume of a log with a serious defect? Question 14 options: Defects do not change the volume of a cut log. Assume at least half the volume of the log will be lost. Calculate the volume of the defect and subtract it from the total volume of the log. Calculate volume of the log and ignore the defect.
The best way to calculate the volume of a log with a serious defect is to calculate the volume of the defect and subtract it from the total volume of the log which is denoted as option C.
What is Volume?This is referred to as the amount of space occupied by any three-dimensional solid which could be a square, rectangle etc.
In a scenario where a defect is present in the log, then it is best to consider it by first calculating the volume of the defect after which it is then subtracted from the total volume of the log in other to give an accurate result.
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coherent light of wavelength 519 nm passes through two slits. in the resulting interference pattern on a screen 4.6 m away, adjacent bright fringes are 4.00 mm apart. what is the separation of the two slits?
If a coherent light of wavelength 519 nm passes through two slits, the separation of the two slits is approximately 0.0604 mm.
To calculate the separation of the two slits in a double-slit interference pattern, we can use the equation for the fringe separation:
d * sinθ = m * λ
Where:
d is the separation of the slits,
θ is the angle of the bright fringe,
m is the order of the fringe, and
λ is the wavelength of the light.
In this case:
λ = 519 nm = 519 × 10⁻⁹ m,
m = 1 (assuming we're considering the first-order bright fringe),
θ = tan⁻¹(y / L), where y is the fringe separation and L is the distance to the screen.
Given that adjacent bright fringes are 4.00 mm apart (y = 4.00 mm = 4.00 × 10⁻³ m) and the screen is 4.6 m away (L = 4.6 m), we can calculate the angle θ:
θ = tan⁻¹(y / L) = tan⁻¹(4.00 × 10⁻³ / 4.6) ≈ 0.00087 rad
Now, substituting the values into the equation, we can solve for the separation of the slits (d):
d * sin(0.00087) = (1) * (519 × 10⁻⁹)
d = (519 × 10⁻⁹) / sin(0.00087)
d ≈ 0.0604 mm
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In travelling the 70cm along a rifle barrel, a bullet uniformly accelerates from rest to a velocity of 210m/s .Find the acceleration involved and the time taken for which the bullet is in the barrel.
Answer:
S = 1/2 a t^2 since intial speed is zero
Vav = 210 m/s / 2 = 105 m/s
t = .7 m / 105 m/s = 6.67E-3 sec (6.67 * 10^-3 s)
a = 2 S / t^2
a = 2 * .7 / (6.67E-3)^2
a = 31,500 m/s^2
Check:
Ave Speed * time = length of barrel
105 * 6.67E-3 = .70 m
witch is the property of matter in witch a substance can transfer heat or electricity
Answer:
B. Conductivity.
Explanation:
Conductivity is the quantity of heat passing per second through a slab of unit cross-sectional area when the temperature gradient between the two faces is unity when put in heat.
Light travels through air and is incident upon the surface of a diamond at angle of 30 degrees. If the index of refraction for a diamond is 2.42. Calculate angle of refraction as the light travels into the diamond.
As light enters the diamond, it is refracted at an angle of 12.3 degrees.
Definition of refractive index Diamond has a refractive index of 2.42. What does this statement actually mean?According to the aforementioned assertion, the speed of light in a diamond is 1.42 times that of light in a vacuum. The speed of light in a diamond will be 2.42 times slower than it is in air due to the high refractive index of diamonds.
\(heta2 = 12.3 degrees\)
When we simplify the equation, we obtain:
\((1/2.42) x Sin(30) = Sin(theta2)\)
\(Theta2 sin(2) = 0.208\)
When we take the inverse sine of both sides, we obtain:
\(12.3 degree theta2\)
Using both sides' inverse sine,
\(theta2 = 12.3 degrees\)
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below is a reflectance spectra of two different objects. what wavelength is the best place for a filter to distinguish the two objects?
The wavelength is the best place for a filter to distinguish the two objects, whichever filter shows the greater difference in brightness between the two objects.
The distance between the same points in the adjacent cycles of a waveform signal propagated in space or through a wire is called as wavelength. In the case of gamma radiation (γ), infrared (IR), ultraviolet (UV), and visible light, the wavelength is more often described in nanometers (nm), which are units of 10-9 m, or angstroms (Å), which are units of 10-10 m.
Colours of the spectrum are also called as chromatic colours; there are also nonchromatic colours such as browns, magentas, and pinks. The term achromatic colours are sometimes applied to the black-grey-white sequence.
The eye can differentiate some 10 million colours, all of which are obtained from two types of light mixture: additive and subtractive. As the name suggests, an additive mixture involves the addition of spectral components, and a subtractive mixture concerns the subtraction or absorption of parts of the spectrum.
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What type of force is often seen in suspension bridges?
Answer:The main forces in a suspension bridge are tension in the cables and compression in the towers. The deck, which is usually a truss or a box girder, is connected to the suspension cables by vertical suspender cables or rods, called hangers, which are also in tension.
Explanation:Hope this helped u also may i have brainlist only if u wanna give me brainlist thoygh! Have an bless day and stay safe good day kindsir or ma'am.
Answer:
\(\color{pink}{HOPE} \ \color{pink}{THIS} \ \color{pink}{WILL} \ \color{pink}{HELP} \ \color{pink}{YOU}\)
Explanation:
Internal Forces:
Tension: Tension is the pulling force that acts on the cables and suspenders of a suspension bridge. ...
Compression: Compression is a pressing force that acts on the towers of a suspension bridge as they are acted upon by gravity.
Introduction of Bridge Engineering
The main forces in a suspension bridge are tension in the cables and compression in the towers.
A 0.225 kg block of iron at -28.7 °C is put in a cup of 0.150 kg of water at 18.9 °C. What is their equilibrium temperature?
Answer:
12.3°C should be the correct answer
Answer:
12.3
Explanation:
A bar of mass M and length L = 4 meters is pivoted on a fulcrum that is d = 1.8 meters away from the left end. Attached to the left end, a mass m = 5 kg hangs at rest and keeps the system in equilibrium. What is the mass of the bar?
The given problem can be exemplified in the following diagram:
The weight of the bar is concentrated in its center of mass which is located in the middle of the longitude of the bar. We can add the total torques at the point where the pivot touches the bar and we get:
\(\Sigma T=(5\operatorname{kg})(g)(1.8m)-(2m-1.8m)(Mg)\)Here we have used momentum counter-clockwise as positive. Since the system is in equilibrium the sum of the torques must be equal to zero:
\((5\operatorname{kg})(g)(1.8m)-(2m-1.8m)(Mg)=0\)Now we solve the operations, we will use for the acceleration of gravity 9.8 meters per second squared:
\(88.2Nm-1.96M=0\)Now we solve for the mass "M" first by subtracting 88.2Nm from both sides:
\(-1.96M=-88.2Nm\)Now we divide both sides by -1.96:
\(M=\frac{-88.2Nm}{1.96m\frac{m}{s^2}}\)Solving the operations we get:
\(M=45\operatorname{kg}\)Therefore, the mass of the bar is 45 kg.
how are mass, distance and gpe related
Answer:
It is direct proportionality. The greater the mass, the greater is the gravitational potential energy. The equation for GPE is : GPE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height above the ground. As you can see GPE is directly proportional to mass, and height. KT.
Explanation:
Gravitational potential energy is a function of both the mass of your system and the mass of the thing generating the gravity field around your system.
The relationship is linear, which means that if you multiply or divide one of the masses by some number but leave everything else the same, you multiply or divide the potential energy by the same number. A 3kg mass has three times the gravitation potential energy of a 1kg mass, if placed in the same location.
if a fisherman applies a horizontal force with magnitude 51.5 n to the box and produces an acceleration of magnitude 3.20 m/s2, what is the mass of the box?
The mass of the box is approximately 16.09 kg.
To determine the mass of the box, we can use Newton's second law of motion, which states that the force applied to an object is equal to the product of its mass and acceleration:
force = mass × acceleration
Given that the applied force is 51.5 N and the acceleration is 3.20 m/², we can rearrange the equation to solve for the mass:
mass = force / acceleration
Substituting the given values, we find:
mass = 51.5 N / 3.20 m/s² ≈ 16.09 kg
Therefore, the mass of the box is approximately 16.09 kg. The fisherman needs to apply a horizontal force of 51.5 N to produce an acceleration of 3.20 m/s² for the box.
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which type of heat transfer causes a spoon to become warm when it is placed in a cup of hot water?
Heat transfer describes the flow of heat (thermal energy) due to temperature differences and the subsequent temperature distribution and changes.
What is Heat transfer?The study of transport phenomena concerns the exchange of momentum, energy, and mass in the form of conduction, convection, and radiation. These processes can be described via mathematical formulas.
The fundamentals for these formulas are found in the laws for conservation of momentum, energy, and mass in combination with constitutive laws, relations that describe not only the conservation but also the flux of quantities involved in these phenomena.
For that purpose, differential equations are used to describe the mentioned laws and constitutive relations in the best way possible.
Therefore, Heat transfer describes the flow of heat (thermal energy) due to temperature differences and the subsequent temperature distribution and changes.
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A rock is thrown with an initial velocity of 6 m/s at an angle of 30
degrees. What is the initial velocity of the rock in the x-
direction?
Answer:
6.9 m/s
Explanation: