Explanation:
\(net \: force \: = \sqrt{ {6 }^{2} + {3}^{2} + 2 \times 3 \times 6 \cos(90) } = 6.7 N\)
a police car, approaching a right-angled intersection from the north, is chasing a speeding car that has turned the corner and is now moving straight east. when the police car is 0.6 miles north of the intersection and the other car is 0.8 miles to the east, the police determine with radar that the distance between them and the other car is increasing at 20 mph. if the police car is moving at 60 mph, what is the speed of the other car?
The other car is traveling at approximately 68.8 mph.
To find the speed of the other car, we can use the fact that the distance between the two cars is increasing at a rate of 20 mph. This means that the rate at which the distance between them is changing is equal to the difference in their speeds. Let's call the speed of the other car "x".
Using the Pythagorean theorem, we can find the initial distance between the two cars:
sqrt((0.6)^2 + (0.8)^2) = 1 mile
Now we can set up an equation:
x - 60 = 20
This is because the police car is traveling at a constant speed of 60 mph, and the distance between the two cars is increasing at a rate of 20 mph.
Solving for x, we get:
x = 80
However, this is the speed of the other car relative to the police car. To find the actual speed of the other car, we need to add the speed of the police car:
x + 60 = 68.8 mph (rounded to one decimal place)
Therefore, the other car is traveling at approximately 68.8 mph.
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Is lead is melted I’m into liquid to form pellets a physical change
Yes, melting lead into a liquid to form pellets is a physical change.
This is because the chemical composition of lead remains the same even after it has been melted and then solidified into pellets. In other words, the molecular structure of lead does not change during the melting process, but only the physical state of the material changes from a solid to a liquid and then back to a solid. This type of change is reversible and can be undone by cooling the lead pellets to their solid state. Therefore, melting lead to form pellets is an example of a physical change rather than a chemical change.
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--The complete Question is, Is lead melting into liquid to form pellets a physical change? --
A target lies flat on the ground 7 m from the
side of a building that is 10 m tall, as shown
below.
The acceleration of gravity is 10 m/s
Air resistance is negligible.
A student rolls a 7 kg ball off the horizontal
roof of the building in the direction of the
target.
Can you give me any more information?
Two lamps illuminate a screen equally from distance show in figure 12. If lamp A is rated 75cd. What is lamp B rated?
Lamp B is rated 75cd if two lamps illuminate a screen equally from distance if lamp A is rated 75cd.
According to the inverse square law, the intensity I decrease with the square of the distance d from a point source of wave that is capable of radiating omnidirectional and has no nearby barriers.
I_A is the illumination of the first lamp (75cad)
I_B is the illumination of the second lamp
d_A is the distance between the screen and the first lamp
d_B is the distance between the screen and the second lamp
k is the constant of illumination of the screen
I_A α 1/(d_A )^2
I_A=k_A/(d_A )^2
k_A =I_A (d_A )^2
For the first lamp
k_A=75(d_A )^2
For the second lamp
k_B =I_B (d_B )^2
d_A 〖=d〗_B
Since the two lamps have equal distance from the screen
k_A 〖=k〗_B
Since it is just a single screen, the constant of illumination is the same
75(d_A )^2 =I_B (d_B )^2
75(d_A )^2 =I_B (d_A )^2
Making I_B the subject of formula
I_B=(75(d_A )^2)/(d_A )^2
I_B=75
Therefore the rated of the second lamp is also 75cd
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Blank is the change in position of an object
Using the standard tables (Appendix C Tables C-1 and C-2), determine the relative humidity and dew-point temperature if the dry-bulb thermometer reads 22 °C and the wet-bulb thermometer reads 16 °C. How would the relative humidity and dew point change if the wet-bulb reading were 19 "C?
For a dry-bulb temperature of 22 °C and a wet-bulb temperature of 16 °C, the relative humidity is approximately 50% and the dew point temperature is around 11 °C.
If the wet-bulb reading were 19 °C instead, the relative humidity would increase, but the exact values cannot be determined without further information.Using the standard tables, for a dry-bulb temperature of 22 °C and a wet-bulb temperature of 16 °C, we can find the approximate relative humidity and dew point temperature.
The tables provide a relationship between dry-bulb and wet-bulb temperatures to estimate these values. In this case, the relative humidity is approximately 50% and the dew point temperature is around 11 °C.If the wet-bulb reading were 19 °C instead, the relative humidity would generally increase.
However, the exact values cannot be determined without additional information, such as the specific conditions of the air and any changes in pressure or other atmospheric variables. The relationship between dry-bulb and wet-bulb temperatures is complex and depends on various factors, so the precise impact on relative humidity and dew point temperature would require more specific data
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4. Jerry has approached you with a series circuit problem. He's trying to figure out the electricity for a new circuit in his house. He needs to find the total resistance. Which equation should Jerry use? A.R=R₁ + R₂ + R₂ B. R=1/R₁+1/R₂ + 1/R C. R=1/R₁ R₂ R D. R=R₁ R₂ R₂
The equation Jerry should use for the total resistance in a series circuit is R = R₁ + R₂ + R₃.
option A.
What is a series circuit?In a series circuit, all components are connected end-to-end, forming a single path for current flow.
A series circuit can contain any combination of resistors, capacitors, and inductors.
In a series circuit, the current flowing in each circuit component is the same and the voltage drop in each circuit component is different.
Based on this, the total formula for the total resistance in a series circuit is given as;
R = R₁ + R₂ + R₃
where;
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Boiling water is a common method used to sterilize water that may be contaminated. subjecting microbes to such high temperatures is an example of a(n) __________ technique.
Boiling water is a common method used to sterilize water that may be contaminated. subjecting microbes to such high temperatures is an example of a(n) microbicidal technique.
A substance that eliminates microorganisms (such as bacteria) is known as microbicide and the techniques that involve destruction of microbes are known as microbicidal techniques.
The pathogen biofilm was effectively destroyed by the combined microbicidal effects of hot water (50, 60, or 70 °C) and 2% citric acid. It was discovered that the combination of hot water and citric acid caused sub-lethally harmed cells.
A fairly easy way to disinfect water is to boil it. The majority of dangerous organisms, notably viruses and bacteria that cause waterborne infections, are killed when water is heated to a high temperature of 100°C. The water must boil for at least 20 minutes in order to be most effective.
Hence, water that may be polluted is frequently sterilized by boiling. Using such high temperatures to kill germs is an example of a microbicidal method.
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the uniform probability distribution's standard deviation is proportional to the distribution's range.
Uniform probability distribution is a type of probability distribution in which each value in a given interval has an equal chance of occurring. The uniform probability distribution's standard deviation is proportional to the distribution's range.
The formula for finding the standard deviation of a uniform distribution is:σ= b−a√12Where σ is the standard deviation, a is the lower bound, and b is the upper bound of the interval. In the uniform distribution, the range is equal to the difference between the upper bound and the lower bound of the interval.
Therefore, we can rewrite the formula as:σ= Range√12We can see that the standard deviation of the uniform distribution is proportional to the square root of the range. This means that as the range of the distribution increases, the standard deviation will also increase, and vice versa.
In conclusion, the standard deviation of a uniform probability distribution is proportional to the distribution's range, as demonstrated by the formula σ= Range√12. This relationship is important to understand when analyzing data with a uniform distribution, as it can affect the interpretation of the data.
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In a calorimetry experiment, it was determined that the heat change of the surroundings (qsurroundings) was 4482 j. what is the heat change of the system (qsystem)?
The heat of the surroundings is - 4482 J.
What is the heat change of the system (qsystem)?A calorimeter is a device in which that is no exchange of heat between the device and the environment. In other words, there could only be exchange of heat when the a substance has been put inside the calorimeter.
We know that in a calorimeter;
Heat of the surrounding = Heat of the system
That implies that they are of the same magnitude but of opposite direction hence the heat of the system is - 4482 J.
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Which material will heat up the most quickly if placed near a heat source?
Rubber
Plastic
Glass
Metal
Answer:
Metal
Explanation:
Just answered on Apex
Metal is the material will heat up the most quickly if placed near a heat source. Option D is correct.
What is heat ?
The movement of energy from a hot to a cold item is characterized as heat. Heat energy flows from a hot material to a cold one.
This occurs because faster-vibrating molecules transmit their energy to slower-vibrating ones. Heat content is another name for vibrational energy.
It is hot or chilly depending on how much heat is there in the body. The body will be hotter as the heat content increases. The movement of energy from a hot to a cold item is characterized as heat.
The heat flow in the material is due to the free electrons. In the metal, no of free electron is highest. Metal is the material will heat up the most quickly if placed near a heat source.
Hence, option D is correct.
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At which location could you obtain groundwater without having to use a pump? What is this location called?
I have to get it done right now
Answer:If a hole is dug into the ground deep enough that it reaches a confined aquifer, the pressure can be great enough to shoot water up the well without any help from a pump. Such a well is called a flowing artesian well
Explanation:
If this entire wave train took 1 second to pass a point, what would its frequency be?
The frequency of the wave, given that the entire wave train took 1 second to pass a point is 5 Hz
How do i determine the frequency of the wave?We know that frequency is the number of oscillation or wave made in one second. This is written as:
Frequency (f) = Number of oscillation (n) / time (t)
f = n / t
With the above information, we can obtain the frequency of the wave. This is illustrated below:
Number of oscillation (n) = 5 Time (t) = 1 secondFrequency (f) =?Frequency (f) = Number of oscillation (n) / time (t)
Frequency = 5 / 1
Frequency = 5 Hz
Thus, we can conclude from the above calculation that the frequency of the wave is 5 Hz
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What is the deceleration of a truck that takes 8.5 seconds to decrease its velocity from 35 m/s to 5 m/s?
Answer:
It will decelerate at the rate of \(3.52\ m/s^2\).
Explanation:
Initial speed of the truck, u = 35 m/s
Final speed, v = 5 m/s
Time, t = 8.5 s
We need to find the deceleration of the truck. As the speed is becoming less, it means it will decelerate. It can be calculated as follows :
\(a=\dfrac{v-u}{t}\\\\a=\dfrac{5-35}{8.5}\\\\a=-3.52\ m/s^2\)
So, it will decelerate at the rate of \(3.52\ m/s^2\).
A 12 Volt car battery pushes charge through the headlight circuit resistance of 10 ohms. How much current is passing through the circuit?
Answer:
We applicate formula:
I = V/R
Replacing acording data:
I = 12 V / 10 Ω
Resolving:I = 1,2 A
Result:
The current is of 1,2 Amperes.
Answer:
1.2 amps
Explanation:
I = V/R
V = 12
R = 10
12/10 = 1.2 amperes (amps)
on a two lane highway, a car is following a pickup truck. at one instant, the car has a speed of 32 m/s and is 184 m behind the truck. at the same time, the truck has a speed of 28 m/s. if neither vehicle accelerates, how long will it take the car to catch up to the truck?
The vehicle traveling in the opposing direction travels the following distance in the same amount of time: 200/9 (2.5) equals 99.38 meters. The safe separation between the two vehicles is therefore: 129.38 + 99.38 = 228.76 meters.
To obtain the velocity function, we must calculate the integral of the acceleration function:
V ( t ) = ∫ a ( t ) d t V ( t ) = ∫ 3 d t = 3 t + c 1
To find the integral's constant, we use our initial conditions as a guide. As of now
t = 0
The speed is 80 km per hour.
80 km/h is equal to (80)(1000)/3600, or 200/9 meters per second.
V ( 0 ) = 3 ( 0 ) + c 1
200/ 9 = 0 + c 1
c 1 = 200/ 9
The distance the vehicle travels in
the number of seconds required to travel the same distance as the truck plus 30 meters (15 meters in front of and 15 meters behind the truck).
The distance covered by the vehicle is
In the same number of seconds, 200/9 t.
This is the amount of time it takes for the car to overtake and pass the truck.
15 metres.
To do this, the automobile travels a distance of:
S ( t ) = 3 /2 ( 20 ) + 200/ 9 ( 2 5 ) = 129.38 meters
The vehicle traveling in the opposing direction travels the following distance in the same amount of time:
99.38 meters is equal to 200/9 ( 2 5).
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A child is perched perilously above a 150m ravine. The child has a mass of 45kg. How much
gravitational potential energy does the child have?
Answer:
U = 66,150 J
Explanation:
Gravitational Potential Energy
Gravitational potential energy is the energy stored in an object because of its vertical position or height in a gravitational field.
It can be calculated with the equation:
U=m.g.h
Where m is the mass of the object, h is the height with respect to a fixed reference, and g is the acceleration of gravity or \(9.8\ m/s^2\).
The child of mass m=45 Kg is perched above a h=150 m ravine. His gravitational potential energy is:
\(U=45~Kg\cdot 9.8\ m/s^2\cdot 150\ m\)
U = 66,150 J
a projectile is fired with speed of 36m/s at angle 60 degrees above horizontal from ground level. at the maximum height it explodes into two identical pieces. one piece immediately stops. determine the velocity of the other piece immediately after the explosion
The velocity of the other piece immediately after the explosion is 36m/s.
To solve this problem, we need to use the laws of projectile motion and conservation of momentum.
Firstly, let's analyze the projectile's motion before the explosion. We can use the equations of motion to find its maximum height.
At the maximum height, the vertical component of velocity is zero, so we can find the time it takes to reach this point using the equation:
t = (Vf - Vi)/a
Where,
Vf = 0m/s (final velocity)
Vi = 18m/s (initial vertical velocity)
a = -9.8m/\(s^{2}\) (acceleration due to gravity)
We get:
t = 1.84s.
Now, we can use this time to find the horizontal displacement of the projectile using the equation:
d = Vit + 1/2\(at^{2}\)
Where,
d = horizontal displacement
Vi = initial horizontal velocity (which is 36cos60 = 18m/s)
a = still -9.8m/\(s^{2}\)
Plugging in the values, we get:
d = 31.4m
So, the projectile travels a maximum height of h = 18.7m and a horizontal displacement of d = 31.4m before the explosion occurs.
After the explosion, the projectile breaks into two identical pieces. Let's assume that one piece immediately stops, meaning its final velocity is zero. Using conservation of momentum, we know that the momentum before the explosion must be equal to the momentum after the explosion.
The momentum of the projectile before the explosion is:
p = mv
Where,
m = mass of the projectile
v = velocity
Since the two pieces are identical, we can divide the mass by 2 to get:
p = (m/2)v
Let's call the velocity of the other piece v'. The momentum of the stopped piece is zero, so the momentum of the other piece must be equal to the momentum of the projectile before the explosion:
p = (m/2)v + 0
Setting these two expressions equal to each other, we can solve for v':
(m/2)v = (m/2)v'
v' = v
So, the velocity of the other piece immediately after the explosion is equal to the velocity of the projectile before the explosion, which is 36m/s.
In conclusion, using the laws of projectile motion and conservation of momentum, we can determine that the velocity of the other piece immediately after the explosion is 36m/s.
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What is a living organism? Give a few examples.
Please help! Own words please!
Will mark brainliest!
Answer:
It's a individual form of life. Examples of this are bacterium , protists and fungus
19. In an earthquake, most deaths are caused by. .
A. Ground waves
B. Liquefaction
C. P waves
D. Damage to buildings
Answer:
ground Waves
Explanation:
If the ratio between the frequency of a man's voice and that of a girl's voice is 3/4, what
is the ratio between the speeds of the voices of the man and the girl in air ?
Answer:
it is 34
34 is th answer
Explanation:
For n=4,l=1,ml=2,ms=?12 indicate which of the quantum numbers has a value that is not valid.
For indicate which of the quantum numbers has a value that is not valid.
l must be (n?1).
ml cannot be greater than l.
ml cannot be smaller than n.
ms cannot be negative.
Based on the given values of n, l, and ml, the only unknown quantum number is ms. According to the rules of quantum numbers, ms cannot be negative, which means it can only have values of +1/2 or -1/2. Therefore, both values (+1/2 and -1/2) are valid for ms, and there is no quantum number that has a value that is not valid in this case.
For n=4, l=1, ml=2, and ms=12, the quantum number that has a value that is not valid is ml.
According to the rules:
- l must be in the range of 0 to (n-1), which is 0 to 3 for n=4. So, l=1 is valid.
- ml must be in the range of -l to +l, which is -1 to +1 for l=1. Therefore, ml=2 is not valid.
- ms can have values of +1/2 or -1/2, so ms=12 is not valid as well.
Therefore, both values (+1/2 and -1/2) are valid for ms, and there is no quantum number that has a value that is not valid in this case.
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Remy wonders if the height of the mountain has anything to do with the eventual size of the tsunami wave. How should Remy test this? A. Cause avalanches on several different mountains and see how large each resulting tsunami is. B. Build different-sized model mountains at the edge of a pool, pour sand down the side of each mountain, and see how large each resulting wave is. C. Pour different amounts of sand down the side of a model mountain into a pool and see how large each resulting wave is. D. Build a model town at the edge of a pool and see how large waves must be to cause damage to the buildings.
Answer:
The answer is B
Explanation:
I got this from study island
A ball is thrown directly upward into the air. The graph below shows the vertical position of the ball with respect to time
.Explanation:
.......................................................
You are taking an image of a patient who is in extreme discomfort while participating in the CT scanning process. Which of the following qualities must you exhibit to obtain a clear and accurate image? O communication skills O interpersonal skills o detail oriented physical endurance
Answer:
Interpersonal skills
Explanation:
Answer:
The right answer is interpersonal skills
Explanation:
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The system shown in the figure below uses three chain comveyors. Each chain has a hydraulic motor: The torque that drives the motors is T: =1500 N.m
1 T2 =700 Nm and, T3 = 300Nm. The displactment volume of the motors is V01 =1000 cm3/rev V02 =1000 cm3/rev and, V09 =500 cm3 /rex. The motss have a volumetric efficiency of 0.9 and an overall efficiency of 0.85. The leakage of the bydraulic motors 1 and 3 is internal completely and the leakage of the hydraulic motor 2 is external completely. The pump produces a constant volumetric flow rate of 6.3U/min.
The orifice of the flow control valve has a 0.5 mm diameter. The pressure fosses through the pipes are neglected. The capacity coefficient of the needie valve is 07. The volumetric Alow rate through the needle valve is given by: Q=C×A2 ×ΔF/rho where C is the capacity coefficient, A is the area of the orifice, ΔP is the difference of pressure through the needle valve and, rho is the density of the fiuid.
The density of the oil used in the hydraulic system is 860 kg/m3 . Determine the rotational speed of the motor 3 in rpm. a. 8 b. 92 c. 67 d. 42 e. 34 E. 56
The rotational speed of the motor 3 in rpm. b. 92
The figure shows a hydraulic circuit that uses three chain conveyors. The torque that drives the motors is T: =1500 N.m. T2 =700 Nm and, T3 = 300Nm.The volumetric flow rate produced by the pump is 6.3 liters per minute. The displacement volume of the motors is V01 =1000 cm3/rev. V02 =1000 cm3/rev and, V09 =500 cm3/rex.
The motors have a volumetric efficiency of 0.9 and an overall efficiency of 0.85. The leakage of hydraulic motors 1 and 3 is internal completely, while the leakage of hydraulic motor 2 is external completely.The orifice of the flow control valve has a diameter of 0.5 mm. The capacity coefficient of the needle valve is 0.7.
The pressure losses through the pipes are ignored. The volumetric flow rate through the needle valve is Q = C × A2 × ΔP / ρ where C is the capacity coefficient, A is the area of the orifice, ΔP is the pressure difference through the needle valve, and ρ is the density of the fluid. The density of the oil used in the hydraulic system is 860 kg/m3. We need to determine the rotational speed of motor 3 in rpm.
So,Let’s first determine the volumetric flow rate required by hydraulic motor 3. Using the expression of volumetric flow rate through the needle valve, we have Q = C × A2 × ΔP / ρ… (i)We are given that the capacity coefficient of the needle valve is 0.7. Its orifice diameter is 0.5 mm.
Hence, the area of the orifice is given byA2 = π d2 / 4where d is the diameter of the orifice. So, A2 = π × (0.5 mm)2 / 4 = 0.196 mm2 = 1.96 × 10-7 m2Using equation (i), we haveQ = C × A2 × ΔP / ρNow, we will calculate ΔP. To do this, we need to determine the flow rates Q1, Q2, and Q3.Let Q’ be the total volumetric flow rate through the system.
Since the overall efficiency of the system is given as 0.85, we haveQ’ = 0.85 × 6.3 l/min = 5.355 l/min = 5.355 × 10-3 m3/minWe know that the volume of fluid passing through the hydraulic motors is equal to their displacement volume multiplied by the number of revolutions per unit time.So, we haveQ1 = V01 × n1 … (ii)Q2 = V02 × n2 … (iii)Q3 = V03 × n3 … (iv)where V01, V02, and V03 are the displacement volumes of hydraulic motors 1, 2, and 3, respectively.
We are given that V01 = V02 = 1000 cm3/rev and V03 = 500 cm3/rev, which gives V01 = V02 = 1 × 10-6 m3/rev and V03 = 0.5 × 10-6 m3/rev.Substituting equations (ii), (iii), and (iv) in equation (i), we haveQ = C × A2 × (Q1 + Q2 - Q3) / ρSolving for Q3, we getQ3 = (Q1 + Q2 - Q) / C × A2 × ρPutting the given values in the above expression, we haveQ1 = V01 × n1 = (1 × 10-6 m3/rev) × n1Q2 = V02 × n2 = (1 × 10-6 m3/rev) × n2Q3 = V03 × n3 = (0.5 × 10-6 m3/rev) × n3Q = 5.355 × 10-3 m3/min = 5.355 × 10-3 / 60 m3/s = 8.925 × 10-5 m3/sA2 = 1.96 × 10-7 m2C = 0.7ρ = 860 kg/m3
Substituting the above values, we get8.925 × 10-5 = (1 × 10-6 × n1 + 1 × 10-6 × n2 - 0.5 × 10-6 × n3) / (0.7 × 1.96 × 10-7 × 860)Solving for n3, we have n3 = 91.6 rpmSo, the correct option is b. 92.
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Marking brailiest: Two Speed and velocity questions below
A car travels a distance of 100 km in 2 hours. What is the average speed of the car (km/h)?
An NFL wide receiver prospect runs 40 m in 4.5 seconds. What is the average speed of the wide receiver (m/s)?
Answer:
1) 50 km/h
2)80/9 m/s
Explanation:
Speed = Distance / time
I'll mark brainless pictures down below
The net force is (40 Newtons) (down the road).
But 40 Newtons is not going to move a piano very enthusiastically.
Which one is series and which one is parallel ( i give 20 points who answer )
Answer:
figure (a) L1 is series and L2 is parallel to L3
figure (b) L2 and L3 are parallel to L1
A motorized float in a Thanksgiving Day parade is traveling
north at a speed of 16.0 km/h. Part of a "Pilgrim" woman's role
In the thematic vignette is to walk across the float to call the
men to dinner. She walks at a speed of 3.22 km/h east as
the float passes the judge's booth, which is on the west side of the street. What is the woman's velocity with respect to the