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Two trains each of length 100m are running on two parallel trucks .One train overtakes the other in 20s and one train crosses the other in 10s.Calculate the velocity of each train
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.
If the impulse applied to an object is 34 Ns when a force Facts on it
for 3 s, then the force acting on it is which of the following?
Answer:
Force = 11.33 Newton
Explanation:
Given the following data;
Impulse = 34 Ns
Time = 3 seconds
To find the force acting on the object;
Impulse = force * time
Substituting into the formula, we have;
34 = force * 3
Force = 34/3
Force = 11.33 Newton
Note: the impulse of an object is equal to the change in momentum experienced by the object.
a light ray reflects with an angle of 65 degrees what is the angle of refraction?
A. 65 degrees
B. 90 degrees
C. 32.5 degrees
D. 25 degrees
brainliest if correct
Answer:
A
Explanation:
The electric potential 5.54 m from a charge is -3680 V. What is the value of the charge?
Answer:
-2.27
Explanation:
Got it right on Acellus
Answer:
-2.27
Explanation:
Acellus
Two bears sit on a see-saw. The see-saw is 3.5 m in total
length with the fulcrum at the center. A 40 kg baby bear sits at the very end of one side. Where should the 120 kg father bear sit relative to the center to keep the see-saw balanced?
Answer:
Explanation:
For the see-saw to be balanced, take moment at the fulcrum:
40g * 3.5/2 = 120g * distance
distance = 1.167m from the center
what is work done aganist gravity?
Lifting an object and becomes potential energy of the object (Earth system). The change in gravity potential energy, ΔPEg, is ΔPEg = mgh.
With h being the increase in height and g the acceleration due to gravity.
I hope this helped :T
why are nuclear reactions used in nuclear power plants
Answer:
Nuclear reactors are the heart of a nuclear power plant. They contain and control nuclear chain reactions that produce heat through a physical process called fission. That heat is used to make steam that spins a turbine to create electricity.
Answer:
A nuclear power plant's heart is made up of nuclear reactors. They contain and regulate nuclear chain reactions, which produce heat via a physical process known as fission. This heat is converted to steam, which powers a turbine to generate energy.
Which of the following refers to a force of resistance that acts on an object
when the object moves against other matter?
O A. Balanced force
B. Inertia
C. Friction
D. Contact force
A book falls from a shelf what would have the greatest effect on the velocity of the book as it falls to the ground
A sphere of mass m1 is attached to an ideal spring, then pulled downward from its equilibrium position and released from rest. A sphere of mass m2 is hung from a massless string of length L, pulled to the right from its equilibrium position, and released from rest. If both spheres have the same period of oscillation, then what is the spring constant of the spring attached to m1
Answer:
k = [tex]\frac{g \ m_1}{L}[/tex]
Explanation:
In this exercise the two cases presented are a simple harmonic motion, with angular velocity
spring - mass w² = k / m₁
simple pendulum (string- mass m₂) w² = g / L
angular velocity and period are related
w = 2π/ T
since they indicate that the two periods are equal, the angular velocities are also equal, therefore we can equal the two equations
[tex]\frac{k}{m1} = \frac{g}{L}[/tex]
k = [tex]\frac{g \ m_1}{L}[/tex]
A 2800 kg truck moving at 12 m/s to the right hits a stopped 1100 kg car. What is the combined velocity the moment they stick together?
Answer:
The combined velocity is 8.61 m/s.
Explanation:
Given that,
The mass of a truck, m = 2800 kg
Initial speed of truck, u = 12 m/s
The mass of a car, m' = 1100 kg
Initial speed of the car, u' = 0
We need to find the combined velocity the moment they stick together. Let it is V. Using the conservation of momentum.
[tex]m_1v_1+m_2v_2=(m_1+m_2)V\\\\V=\dfrac{m_1v_1+m_2v_2}{(m_1+m_2)}\\\\V=\dfrac{2800\times 12+0}{2800+1100}\\\\V=8.61\ m/s[/tex]
So, the combined velocity is 8.61 m/s.
how to calculate light year, minute and second?
Answer:
A light-year is the distance light travels in one year. How far is that? Multiply the number of seconds in one year by the number of miles or kilometers that light travels in one second, and there you have it: one light-year. It's about 5.88 trillion miles (9.5 trillion km).
Explanation:
A 7 cm thick and 20 cm long wedge is used to pierce a 3cm long log of diameter 20cm what is the velocity ratio of the wedge
Answer:
The velocity ratio of the wedge is 0.15
Explanation:
Use the following formula to calculate the velocity ratio
Velocity Ratio = Distance Moved by effort / Distance moved by Load
Where
Distance Moved by effort = 3cm
Distance moved by Load = 20 cm
Placing values in the formula
Velocity Ratio = 3cm / 20 cm
Velocity Ratio = 0.15
14 What is the weight of each of
the following masses on Eth?
a) 2 kg
b) 3.5kg
c) 5.25 kg
Newton’s
Explanation:
On earth,
g=10 m/s^2
When M=2 kg,
weight on earth=2×10
=20N
When M=3.5 kg,
weight on Earth=3.5×10
=35N
When M=5kg,
weight on Earth=5.25×10
=52.5N
A force of 200N acts between two objects at a certain distance apart .the value of the force when the distance is halved is?
Answer:
800N is the answer
Explanation:
hope it helps
The force between the objects is 200 N and when the distance between the objects is halved then the force between them will be equal to 800 N.
What is Force?A force in physics is an input that has the power to change an object's motion. A mass-containing object's velocity can vary, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe forces.
Being such a vector quantity, a force does have magnitude and direction. The SI unit metric newton is used to measure it (N). The letter F stands for force.
According to Newton's second law's original formulation, an object's net force is equal to the speed that its momentum is changing over time.
As per the given information in the question,
Force, F = 200 N
F1 = G × m₁m₂/ r²
The final force F' = G × m₁m₂/ (r/2)²
= 4G × m₁m₂/ r²
= 4F
So, when the distance between objects is halved, then the force between them increases to 4 times.
So, the force will be,
4F = 4 × 200
= 800 N.
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2nd grade work. Anyone?
Which of these can move without being pushed or pulled?
shadow
road sign
kitten
bubble gum
Answer:
A. shadow
Explanation:
Answer: A is the correct answer!
Explanation:
Fermi energy of conduction electrons in silver is 0.548 J. Calculate the number of such electrons in unit cm3
Answer:
[tex]n=1.86*10^{-30}m^3[/tex]
Explanation:
From the question we are told that:
Fermi energy of conduction electrons [tex]E_f=0.548J[/tex]
Generally the equation for Fermi energy is mathematically given by
[tex]E_f=\frac{3}{\pi}^2/3*\frac{h^2}{8m}*{n^{2/3}}[/tex]
[tex]E_f=\frac{3}{\pi}^2/3*\frac{h^2}{8m}*{n^{2/3}}[/tex]
[tex]{n^{2/3}}=\frac{E_f}{\frac{3}{\pi}^2/3*\frac{h^2}{8m}}[/tex]
Where
h= Planck's constant
[tex]{n^{2/3}}=\frac{E_f}{\frac{3}{\pi}^2/3*\frac{h^2}{8m}}[/tex]
[tex]{n^{2/3}}=\frac{0.548J}{3.62*10^{-19}}[/tex]
[tex]n=(1.51*10^{-20})^{3/2}[/tex]
[tex]n=1.86*10^{-30}m^3[/tex]
Which nucleus completes the following equation?
Answer:
its b
Explanation:
What is a half-life?
Answer:
When yo die early
Explanation:
Answer: A I think but I'm sure that Half Life is a video game by Valve.
Explanation:
How much gravitational potential energy has a boy whose mass is 50 kg and
who is standing on top of a 2.5 meter high wall?
a. none of these
b. 0735 j
c. 2115 j
d. 196
Answer:
Gravitational potential=mgh
=50×10×2.5
=1250J
option a
Which of the following is TRUE about thermal equilibrium?
Answer:
option one
Explanation:
equilibrium is used to describe the point in which something meets in this case the temperature of an object
what forms of energy best describes the energy stored in food
Answer:
probably potentially energy
Explanation:
hopefully this helps
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.
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Where is an object's center of gravity?
The center of gravity (CG) location is the average location of all the weights of an object. The center of gravity is the balance point of an object, also expressed as the point where all the mass appears to be located.
The location of the body's center of gravity is where its mass is concentrated. The human body's center of gravity is a fictitious position where the gravitational force is claimed to appear to act (COG). It is where the body's overall bulk seems to be concentrated.
What is an object's center of gravity?The center of gravity of an object is the point at which its weight is most evenly distributed. Any object's travel through space may be completely explained in terms of how its center of gravity moves from one location to another and, if it is free to spin, how it rotates around that center of gravity.
Therefore, In physics, the center of gravity is a hypothetical location within a solid where, for the sake of convenience in some computations, the body's whole weight may be assumed to be concentrated.
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draw a model diagram to represent water
Answer:
hope this will help
please give brainliest if correct
How much gravitational energy does a 65 kg skydiver have 650 m up in the sky?
Answer:
G.P.E = 414050 Joules or 414.05 Kilojoules
Explanation:
Given the following data;
Mass = 65 kg
Height = 650 m
We know that acceleration due to gravity is equal to 9.8m/s²
To find the gravitational potential energy;
Gravitational potential energy (GPE) is an energy possessed by an object or body due to its position above the earth.
Mathematically, gravitational potential energy is given by the formula;
[tex] G.P.E = mgh[/tex]
Where;
G.P.E represents potential energy measured in Joules.m represents the mass of an object. g represents acceleration due to gravity measured in meters per seconds square. h represents the height measured in meters.Substituting into the equation, we have;
[tex] G.P.E = 65 * 9.8 * 650 [/tex]
[tex] G.P.E = 414050 [/tex]
G.P.E = 414050 Joules or 414.05 Kilojoules.
.
Look at the circuit diagram. What type of circuit is shown?
closed parallel circuit
closed series circuit
open parallel circuit
open series circuit
The low point of a transverse wave is called a
crest
trough
rarefaction
compression
What is the frequency of light with a wavelength of 7.9 x 10^-9 m? ( the speed of light is 3.00 x 10^8)
A.) 3.80 x 10^16
B.) 2.37 Hz
C.) 2.37 m
D.) 3.80 x 10^16 Hz
A 90-meter train travels at a constant speed of 10 meters per second. How long will it take to cross a 0.06 bridge?
Answer:
The time taken for the train to cross the bridge is 9.01 s
Explanation:
Given;
length of the train, L₁ = 90 m
length of the bridge, L₂ = 0.06 m
speed of the train, v = 10 m/s
Total distance to be traveled, = L₁ + L₂
= 90 m + 0.06 m
= 90.06 m
Time of motion = Distance / speed
Time of motion = 90.06 / 10
Time of motion = 9.006 s ≅ 9.01 s
Therefore, the time taken for the train to cross the bridge is 9.01 s