Answer:
The velocity of one of the trains is 15 m/s
The velocity of the other train 5 m/s
Explanation:
The given parameters of the two trains and the motion of the trains are;
The length of each train, l = 100 m
The time it takes one train to overtake the other, Δt₁ = 20 s
The time it takes the one train to cross the other, Δt₂ = 10 s
Let 'v₁' represent the velocity of one of the trains, and let 'v₂' represent the velocity of the other train, we have;
When one train overtakes the other, the trains are moving in the same direction and the relative velocity of the overtaking train, v = v₁ - v₂
The distance the train travels when overtaking or crossing, d = 2 × l
∴ d = 2 × 100 m = 200 m
d = 200 m
Therefore, we get;
v = v₁ - v₂ = d/Δt₁ = (200 m)/(20 s) = 10 m/s
∴ v₁ - v₂ = 10 m/s [tex]{}[/tex] Equation (1)
When one train crosses the other train, the trains are moving in opposite directions on the different tracks, therefore, we have;
For the overtaking trains, v = v₁ + v₂ = d/Δt₂ = (200 m)/(10 s) = 20 m/s
∴ v₁ + v₂ = 20 m/s [tex]{}[/tex] Equation (2)
Adding equation (1) to equation (2) gives;
v₁ - v₂ + v₁ + v₂ = 2·v₁ = 10 m/s + 20 m/s = 30 m/s
∴ v₁ = 30 m/s/2 = 15 m/s
The velocity of one of the trains, v₁ = 15 m/s
From equation (2), we have;
v₁ + v₂ = 20 m/s
v₂ = 20 m/s - v₁
∴ v₂ = 20m/s - 15 m/s = 5 m/s
The velocity of the other train, v₂ = 5 m/s.
What kind of energy was used to move the toy car?
Answer:
kinetic energy
Explanation:
Motors change electrical energy into kinetic energy. The spinning movement of the motor is used to do work, for example, the wheels on a toy car.
Answer:
hope this works
Explanation:
Kinetic energy is defined as the energy of a moving object.
A thrown football, a speeding automobile, a marathon runner, or a rock falling from a cliff, are examples of objects that have kinetic energy.
1. Which of the following is
a reason you should drink water everyday?
A. Water praites uitamins.
B. Water proldes nutrients for daily functions
c Water praides energy
D. Water helps ashion gons and the spinal
cord
.
Answer:
B
Explanation:
Water is essential to most bodily functions.
Much of the pollution in out oceans comes from:
a.) car exhaust
b.) organic pesticides
c.) sewage and industrial waste
d.) fumes and smog
Answer:
c.) sewage and industrial waste
Two resistors, one with 7.00 Ω of resistance and the other with 11.00 Ω of resistance, are connected in series to a 9.00 V battery. How much power is dissipated by these two resistors?
Answer:
4.5 W
Explanation:
Applying,
P = V²/(R₁+R₂).................. Equation 1
Where P = Power, V = Voltage, R₁ and R₂ = values of the two resistor.
From the question,
Given: V = 9.00 V, R₁ = 7.00 Ω, R₂ = 11.00 Ω
Substitute these values into equation 1
P = 9²/(7+11)
P = 81/(18)
P = 4.5 Watt.
Hence the power dessipated by the two resistors is 4.5 watt
Two vehicles A and B accelerate uniformly from rest.
Vehicle A attains a maximum velocity of 30ms - in los
while B attains a maximum velocil) ol 40ms in the same
time. Both vehicles maintain these velocities for 6s belore
they are decelerated to rest in 6s and 4s respectively
Sketch on the same axes, velocity time graphs
for the motion of the vehicles
Calculate the velocity of each vehicle 18s aftur
the start. (VA
= 20ms -land vs
and vs = 20ms-')
How far will the two vehicles be from one
another during the moment in (ii) above?
(SA = 380m and SB
= 500m: SAB
120m). plz help
Answer:
(i) Please find attached the required velocity time graphs plotted with MS Excel
(ii) The velocity of vehicle A at the 18th second = 20 m/s
The velocity of vehicle B at the 18th second = 0 m/s
(iii) The distance between the two vehicles at the moment in (ii) above is 60 meters
Explanation:
The given parameters of the motion of vehicles A and B are;
The acceleration of vehicles A and B = Uniform acceleration starting from rest
The maximum velocity attained by vehicle A = 30 m/s
The time it takes vehicle A to attain maximum velocity = 10 s
The maximum velocity attained by vehicle B = 30 m/s
The time it takes vehicle B to attain maximum velocity = The time it takes vehicle A to attain maximum velocity = 10 s
The time duration vehicle A maintains its maximum velocity = 6 s
The time duration vehicle B maintains its maximum velocity = 4 s
(i) From the question, we get the following table;
[tex]\begin{array}{ccc}Time &V_A&V_B\\0&0&0\\10&30&40\\14&30&40\\16&30&20\\18&20&0\\22&0&\end{array}[/tex]
From the above table the velocity time graphs of vehicles A and B is created with MS Excel and can included here
(ii) The velocity of vehicle A at the start = 0 m/s
After accelerating for 10 seconds, the velocity of vehicle A = The maximum velocity of vehicle A = 30 m/s
The maximum velocity is maintained for 6 seconds which gives;
At 10 s + 6 s = 16 s, the velocity of vehicle A = 30 m/s
The time it takes vehicle A to decelerate to rest = 6 s
The deceleration of vehicle A, [tex]a_A[/tex] = (30 m/s - 0 m/s)/(6 s) = 5 m/s²
Therefore, we get;
v = u - [tex]a_A[/tex]·t
At the 18th second, the deceleration time, t = 18 s - 16 s = 2 s
u = 30 m/s
∴ v₁₈ = 30 - 5 × 2 = 20
The velocity of vehicle A at the 18th second, [tex]V_{18A}[/tex] = 20 m/s
For vehicle B, we have;
At the 14th second, the velocity of vehicle B = 40 m/s
Vehicle B decelerates to rest in, t = 4 s
The deceleration of vehicle B, [tex]a_B[/tex] = (40 m/s - 0 m/s)/(4 s) = 10 m/s²
For vehicle B, at the 18th second, t = 18 s - 14 s = 4 s
∴ [tex]v_{18B}[/tex] = 40 m/s - 10 m/s² × 4 s = 0 m/s
The velocity of the vehicle B at 18th second, [tex]v_{18B}[/tex] = 0 m/s
(iii) The distance covered by vehicle A up to the 18th second is given by the area under the velocity-time graph as follows;
The area triangle A₁ = (1/2) × 10 × 30 = 150
Area of rectangle, A₂ = 6 × 30 = 180
Area of trapezoid, A₃ = (1/2) × (30 + 20) × 2 = 50
The distance covered in the 18th second by vehicle [tex]S_A[/tex] = A₁ + A₂ + A₃
∴ [tex]S_A[/tex] = 150 + 180 + 50 = 380
The distance covered in the 18th second by vehicle [tex]S_A[/tex] = 380 m
The distance covered by the vehicle B in the 18th second is given by the area under the velocity time graph of vehicle B as follows;
Area of trapezoid, A₅ = (1/2) × (18 + 4) × 40 = 440
The distance covered by the trapezoid, [tex]S_B[/tex] = 440 m
The distance of the two vehicles apart at the 18t second, [tex]S_{AB}[/tex] = [tex]S_B[/tex] - [tex]S_A[/tex]
∴ [tex]S_{AB}[/tex] = 440 m - 380 m = 60 m
The distance of the two vehicles from one another at the 18th second, [tex]S_{AB}[/tex] = 60 m.
Volcanoes often form belts along plate boundaries. How does the piece of art illustrate that this statement holds true for North America? explain.
Answer:
The formation of volcanic arcs, trenches and subsidence leads to the production of volcanic eruptions.
Explanation:
North America plate makes a convergent boundary along with the pacific oceans. The is man reason for the development of the volcanoes and the origin of the earthquakes. The collusion of both these pales leads to the formation of a volcanic ring of fire that can be seen in the pacific ocean.acentripetal = var
1). A car goes around a curve at 20 m/s. If the radius of the curve is 25 m, what is
the centripetal acceleration of the car?
1. Picture
2. Knowns/Unknowns:
4. Substitution
E
25.0m
W
S
6. Units
3. Formula
5. Solution
anotant speed of 8 m/s in a vertical circle of
Answer:
Centripetal acceleration = 16 m/s²
Explanation:
Given the following data;
Velocity = 20 m/s
Radius, r = 25 m
To find the centripetal acceleration;
Mathematically, centripetal acceleration is given by the formula;
Centripetal acceleration = velocity²/radius
Centripetal acceleration = 20²/25
Centripetal acceleration = 400/25
Centripetal acceleration = 16 m/s²
The low point of a transverse wave is called a
crest
trough
rarefaction
compression
What is the function of Soda Line
All matter is NOT composed of __________.
A. protons
B. neutrons
C. sodium
D. electrons
(CORRECT ANSWER ONLY)
Answer:
C.
Explanation:
Answer:C
Explanation:
Find the height of a cylinder with a volume of 220inand a radius of 3 inches. Round
your answer to the nearest hundredth.
07.78 inches
6.93 inches
5.00 inches
9.84 inches
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
Given :
volume = 220 in³radius = 3 inSolution :
[tex] \large\boxed{ \mathrm{volume = \pi {r}^{2}h }}[/tex]
[tex]220 = \dfrac{22}{7} \times 3 \times 3 \times h[/tex][tex] \dfrac{220 \times 7}{22 \times 3 \times 3} = h[/tex][tex] \dfrac{10 \times 7}{3 \times 3} = h[/tex][tex]h = \dfrac{70}{9} [/tex][tex] \boxed{h \: = 7.78 \: \: in}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Answer:
0.078 inches
Explanation:
The volume of a cylinder is [tex]V=\pi r^{2} h[/tex]. [tex]r[/tex] is the radius of the cylinder, [tex]h[/tex] is the height of the cylinder, and [tex]V[/tex] is the total volume.We can divide both sides by [tex]9\pi[/tex] to isolate the height. We now have [tex]\frac{220}{9\pi }=h[/tex].We can plug in [tex]220[/tex] for the value of [tex]V[/tex], and insert 3 as [tex]r[/tex]. Now, we have [tex]220 = \pi (3^2)(h)[/tex].We can simplify the right side by finding the value of [tex]3^2[/tex], which is [tex]3*3[/tex], or [tex]9[/tex]. We now have [tex]220 = 9\pi h[/tex].Divide both sides by [tex]9\pi[/tex] so we can isolate the height! We now have [tex]\frac{220}{9\pi }=h[/tex].It would be best to use a calculator at this point. Plug the above equation into a calculator; otherwise, replace [tex]\pi[/tex] with [tex]3.14[/tex] and simplify the fraction. You should get about [tex]07.7809...[/tex] which we can round to the nearest hundredths (since this is Geometry, I am assuming you know how to round).Our final answer is [tex]07.78[/tex] inches.Hopefully this was of use!
What is meant by a colored shadow? If "shadow" means
"absence of light," how can a shadow have a color?
Explanation:
Red, green, and blue are therefore called additive primaries of light. ... When you block two lights, you see a shadow of the third color—for example, block the red and green lights and you get a blue shadow. If you block only one of the lights, you get a shadow whose color is a mixture of the other two.
First, your definition of a shadow is incorrect. A shadow is an area that receives less light than its surroundings because a specific source of light is blocked by whatever is "casting" the shadow. Your example of being outside reveals this. The sky and everything around you in the environment (unless you are surrounded by pitch black buildings) is sending more than enough light into your shadow, to reveal the pen to your eyes. The sky itself diffuses the sunlight everywhere, and the clouds reflect plenty of light when they are not directly in front of the Sun.
If you are indoors and have two light bulbs, you can throw two shadows at the same time, possibly of different darknesses, depending on the brightness of the light bulbs.
It can take a lot of work to get a room pitch black. One little hole or crack in some heavy window curtains can be enough to illuminate the room. There are very few perfectly dark shadows.
The______is the particle in the nucleus with a positive charge.
Answer here
Answer:
proton proton proton proton
a crane lifts a 450kg concrete to the top of a 50m building in 5s.assuming g=10m/s²,calculate a,the potential energy if the concrete
Answer:
The answer is 225,000Joules
Can work ever be negative?
A)Yes, when force is negative
B)Yes, when displacement is negative
C)Yes, when cos(e) is negative
D)No, work can never be negative
Answer:
B yes when displacement is negative
Which is true according to the law of conservation of energy?
ОА.
In a closed system, the total amount of energy in the universe keeps on changing
The supply of energy is limited, so it is essential to conserve it.
OB.
OC.
In a closed system, energy can be created and destroyed.
0In a closed system, energy cannot be used faster than it is created
O E.
In a closed system, the total energy always remains constant OD
Answer: Last option (total energy always remains constant)
Explanation:
The Law of Conservation basically states that energy cannot be created or destroyed. Only changed from one form to another (potential, kinetic, chemical, etc.) so it makes sense that the net energy is unchanging.
Which activities will help improve your flexibility? A. Yoga B. Dance C. Pilates D. All of the above
Answer: I believe that the answer is D.
Explanation:
Hope this helps and have a great day! :)
Answer:
D) all of the above
Explanation:
An orange might roll of your cafeteria try when you stop suddenly because of
Answer:
Explanation:
Newton's first law of motion states that an object in motion stays in motion. The orange is moving and then the tray stops making the orange move forward because of inertia.
Answer:
The off the tray due to the inertia of motion
Explanation:
As we suddenly stop, the tray and our body comes to rest instantly they are in contact. The placed on tray and keeps moving due to the inertia of motion and hence roll of your tray
Which of the following situations would have the fastest speed?
Sound in a vacuum
Light in a vacuum
Sound in a solid
Light in a solid
sound in vacuum
Explanation:
because as u turn a vacuum on it make noise instant when u make sound from a solid object it takes a while to do thing starting slow then going fast in different objects
According to the law of reflection, what is the angle of incidence?
It is the angle the incident ray makes with a line drawn perpendicular to the viewer.
It is the angle the incident ray makes with a line drawn perpendicular to the reflecting surface.
It is the angle the incident ray makes with a line drawn parallel to the reflecting surface.
Answer:
It is the angle the incident ray makes with a line drawn perpendicular to the reflecting surface
(Ecology) Food Chain lab Gizmo:
Before you interact with the simulation, what are your expecations? How will the food chain be effected if one organisim's population is altered? In your response, select one organisim (grass, rabbit, snake, hawk) and give a 3 sentence response on how you think a change in population of this organisim will impact the rest of the food chain.
Answer:
If the population of rabbits was altered then the food chain would be affected because if the population decreased then the animals that prey on rabbits wouldn't have as much food as they used to so the predators of the rabbits would decrease. If the population increased then the animals that prey on rabbits would increase. Overall, if rabbits had a change in population then the food chain would become effected, because if rabbits decrease then their predators decrease in population as well, the same goes for an increase in population.
(hope this helped!)
What was the initial velocity of a rock throw upwards if the velocity after 8 s is 90m/s?
Answer:
Initial velocity of rock = 11.6 m/s
Explanation:
Given:
Final velocity of rock = 90 m/s
Time taken by rock = 8 seconds
Find:
Initial velocity of rock
Computation:
Using first equation of motion;
v = u + at
For rock
v = u + gt
Acceleration due to gravity = 9.8 m/s²
90 = u + (9.8)(8)
90 = u + 78.4
u = 90 - 78.4
u = 11.6
Initial velocity of rock = 11.6 m/s
q=mcAt
Calculate the amount of heat gained by 114.32 grams of water at 14.85C raised to 18.0C. The heat capacity of water is 4186J/kgC.
Answer:
1.51 × 10⁶ kJ
General Formulas and Concepts:
Stoichiometry
Using Dimensional AnalysisThermochemistry
Specific Heat Formula: q = mcΔT
q is heat (in J)m is mass (in g)c is specific heat formula (in J/g °C)ΔT is change in temperature (in °C)Explanation:
Step 1: Define
[Given] m = 114.32 g
[Given] c = 4186 J/kg °C
[Given] ΔT = 18.0 °C - 14.85 °C = 3.15 °C
[Solve] q
Step 2: Convert Pt. 1
1 kg = 1000 g
[tex]\displaystyle 4186 \ J/kg \ ^\circ C(\frac{1000 \ g}{1 \ kg}) = 4186000 \ J/g \ ^\circ C[/tex]
Step 3: Solve
Substitute in variables [Specific Heat Formula]: q = (114.32 g)(418600 J/g °C)(3.15 °C)Multiply: q = (4.78544 × 10⁸ J/°C)(3.15 °C)Multiply: q = 1.50741 × 10⁹ JStep 4: Convert Pt. 2
1000 J = 1 kJ
[tex]\displaystyle 1.50741 \cdot 10^9 \ J(\frac{1 \ kJ}{1000 \ J}) = 1.50741 \cdot 10^6 \ kJ[/tex]
Step 5: Check
Follow sig fig rules and round. We are given 3 sig figs as our lowest.
1.50741 × 10⁶ kJ ≈ 1.51 × 10⁶ kJ
A car has a mass of 2,000 kg and is traveling at 28m/s. What is the car’s kinetic energy?
984,000 J
784,000 J
484,000 J
Answer: i am not sure
Explanation: i am not sure
it is possible for an excited hydrogen atom to return to the ground state by the emission of a single photon. regardless of the initial excited state, this electron transition produces a spectral line in which region of the electromagnetic spectrum?
1. ultraviolet
2. infrared
3. visible light
4. radio waves
Answer:
1. Ultraviolet
Explanation:
This is called the Balmer series. Transitions ending in the ground state (n = 1) are called the Lyman series, but the energies released are so large that the spectral lines are all in the ultraviolet region of the spectrum.
It is possible for an excited hydrogen atom to return to the ground state by the emission of a single photon. Regardless of the initial excited state, this electron transition produces a spectral line in ultraviolet region of the electromagnetic spectrum. The correct option is 1.
What is electromagnetic spectrum?An electromagnetic spectrum is the spectrum consisting of the colors of radiation of a white light with different wavelengths.
It is possible for an excited hydrogen atom to return to the ground state by the emission of a single photon.
The transitions which ends in the ground state (n = 1) are termed as Lyman series. Energy released is large in amount so that the spectral lines fall in the ultraviolet region of the spectrum.
Thus, regardless of the initial excited state, this electron transition produces a spectral line in ultraviolet region of the electromagnetic spectrum. The correct option is 1.
Learn more about electromagnetic spectrum.
https://brainly.com/question/23727978
#SPJ2
What is the wave length of the instruments playing at this frequency if the speed of sound is 342m/s
Answer:
6.84m
Explanation:
The question you asked didn't specify the frequency of the instrument, so I'm going to assume for the question sake.
For the question, we will use the formula
λ = V/F, where
λ = the wavelength we're looking for
V = Velocity of the sound
F = frequency of sound.
Assuming that the frequency of the instrument is 50Hz.
λ = 342/50
λ = 6.84 m
16= ? x4
What Makes The Equation True? Comment pls
Answer:
4
4x4=16
Explanation:
The liquid pressure exerted in one direction only
1. When energy is transformed from one form to another it is called
A. transformation of energy
B. conservation of energy
C. consumed energy
D. wasted enenergy
Answer:
A)
Explanation:
Energy transformation is when energy changes from one form to another.
what are the four eaemts
Answer:
The Four Elements in Everyday Life.
First Element: Earth. The earth is full of a wide variety of rocks and minerals which provides the soil to grow vegetation and support life. The two ...
Second Element: Water.
Third Element: Air.
Fourth Element: Fire.
Hope this help you!:)