Hello!
We know that at the BOTTOM of the pendulum's trajectory, the bob has a maximum speed. This means that its KINETIC ENERGY is at a maximum, while its Gravitational POTENTIAL ENERGY is at a minimum.
On the other hand, when the bob is at its highest points, the bob has a velocity of 0 m/s, so its KE is at a minimum and its PE is at a maximum.
We can use the work-energy theorem to solve. Let the Initial Energy equal the bob's energy at one of the sides, while the final Energy equals the bob's energy at the bottom.
[tex]E_i = E_f\\\\PE = KE[/tex]
Recall that:
PE = mgh
m = mass (kg)
g = acceleration due to gravity (m/s²)
h = height (m)
KE = 1/2mv²
m = mass (kg)
v = velocity (m/s)
Set the two equal and solve for 'h'.
[tex]mgh = \frac{1}{2}mv^2[/tex]
Cancel mass.
[tex]gh = \frac{1}{2}v^2[/tex]
Solve for 'h'.
[tex]h = \frac{v^2}{2g}\\\\h = \frac{3^2}{2(9.8)} = \boxed{0.459 m}[/tex]
A large airplane typically has three sets of wheels: one at the front and two farther back, one on each side under the wings. Consider the Boeing 787 "Dreamliner", with a mass of 177000 kg. In this particular model, the distance from the front wheels to the rear set of wheels is 21.7 m.
(a) If the center of mass of the airplane is along a line through the center and 3.00 m in front of the rear wheels, how much force, in meganewtons, does the ground exert on each set of rear wheels when the plane is at rest on the runway?
(b) How much force, in meganewtons, does the ground exert on the front set of wheels?
(a) The force the ground exerts on each set of rear wheels when the plane is at rest on the runway is 0.743 MN.
(b) The force the ground exerts on the front set of wheels is 0.239 MN.
Center mass of the airplaneThe concept of center mass of an object can be used to dtermine the mass distribution of the airplane along the line through the center.
Some assumptionsThe wheels under the wind do not pass through the center line.The position of the front wheel is constant and it is zero mark (origin).The rear wheels are at 21.7 m markPosition of the center mass of the plane is calculated as follows;
Let the position of the center mass, Xcm = y
the center mass is 3 m in front of rear wheels, that is
21.7 - y = 3
y = 21.7 - 3
y = 18.7 m
Xcm = 18.7 m
Mass of the plane at the position of the rear wheelsLet the mass of the plane at front wheels = M1
Let the mass of the plane at rear wheels = M2
[tex]X_{cm} = \frac{M_1x_1 + M_2x_2}{M_1 + M_2}[/tex]
[tex]18.7 = \frac{M_1(0) + M_2(21.7)}{177000} \\\\3,309,900 = 21.7M_2\\\\M_2 = \frac{3,309,900}{21.7} \\\\M_2 = 152,529.95 \ kg[/tex]
Force exerted by the ground on each rear wheelThere are two rear wheels, and the force exerted on each wheel due to mass of the airplane at this position is calculated as follows;
[tex]W = mg\\\\W_1 = W_2 = \frac{1}{2} (mg) = \frac{1}{2} (152,529.95 \times 9.8) = 743,396.76 \ N= 0.743 \ MN[/tex]
Mass of the plane at the position of the front wheelM1 + M2 = 177,000
M1 = 177,000 - M2
M1 = 177,000 - 152,529.95
M1 = 24,470.05 kg
Force exerted by the ground on the front wheelW = mg
W = 24,470.05 x 9.8
W = 239,806.5 N = 0.239 MN
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H H H O H O N C C N C C H O H H O H H C H H H ALANINE GLYCINE
What is the difference between these two amino acids?
A 15kg penguin slides on its belly down an icy, frictionless glacier. If the penguin started from rest and reaches a speed of 11m/S when at the bottom, how high is the glacier? (Metres)
Answer:
Mechanical Energy (initial) = Mechanical energy (final)
Ep(initial) + Ek(initial) = Ep(final) + Ek(final)
mgh(initial) + 1/2mv²(initial) = mgh(final) + 1/2mv²(final)
m being the mass of the penguin (kg)
g being gravitational acceleration (9.80 m/s²)
v(initial) being zero
h(final) being zero,i.e. final height is zero
v(final) being final velocity
solve for h(initial) being initial height at the top of the glacier
answer will be in metres
NB: don't forget to square the velocity
Explanation:
Since they mentioned frictionless, we know that this is a closed system therefore we are free to use this equation of conservation of mechanical energy
Don't forget to rate answer
Sample Response: Yes, his graph is correct because it shows that as the average kinetic energy increases, so does the temperature. This is called a direct relationship. What did you include in your response? Check all that apply. As average kinetic energy increases, temperature also increases. The graph shows a direct relationship between average kinetic energy and temperature.
The graph will be correct, if it shows a direct relationship between average kinetic energy and temperature of the gas molecules.
What is average kinetic energy?The average kinetic energy of a gas molecule is the energy possesed by the gas due to its relative motion.
Average kinetic energy of gas molecules has a direct relationship with temperature of the gas molecules. As the gas temperature increases, the kinetic energy of the gas increases and consequently, the speed of the gas increases as well.
Thus, the graph will be correct, if it shows a direct relationship between average kinetic energy and temperature of the gas molecules.
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Answer:
Select both
Explanation:
You included all needed information
state the formula to compute average speed acquired by a vehicle to cover a distance between two points.
ty! :)
You are standing on roller skates if you try to throw a 20-pound bowling ball while standing on skates,
what happens. How does this show Newton 3rd law
Answer:
I'd probably drop it on my toes. That would happen.
Explanation:
Given the necessary information about the two components of projectile motion, your task is to explain the difference or even describe the two components by their formulas or equations.
The two components of projectile motion include the following:
Horizontal motionVertical motion.What is a Projectile?This is defined as a missile propelled by the application of an external force and allowed to move freely under the influence of gravity and air resistance.
The equation for Horizontal motion Vx = V * cos(α)
Vertical velocity component: Vy = V * sin(α)
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The electric potential, which is a scalar field, may be represented graphically by equipotential curves. The lines of electric field may be obtained from those equipotentials.
Four rectangles have been placed on the graph below. Assess the region of the graph where the magnitude of the electric field is greatest. Drag the label Emax to the rectangle in that region. Assess the region of the graph where the magnitude of the electric field is smallest. Drag the label Emin to the rectangle in that region.
The region with high electric potential (80 V and 70 V) will have high electric field while the region with low electric potential (20 V) will have low electric field.
What is Electric field?
Electric field is the field that surrounds electrically charged particles and exerts force on all other charged particles in the field.
Relationship between electric potential and electric fieldE = V/d
where;
V is electric potential (V)E is electric field (V/m)d is the distance (m)Since electric field is directly proportional to electric potential, the region with high electric potential (80 V and 70 V) will have high electric field while the region with low electric potential (20 V) will have low electric field.
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Which number represents runoff on the hydrologic cycle diagram?
1
2
3
4
Answer:
number 3
Explanation:
3 represents runoff
Runoff is the water collected after rainfall that drains from the surface area of land. It will be tricky to choose 4 which is likely a smaller waterbody draining to a bigger waterbody
hope it helped
how many electrons flow through a 3 A current in 3 seconds
The force of an object is equal to its mass times its ______.
A. inertia
B. friction
C. acceleration
D. faster
E. slower
Answer:
C. acceleration
Explanation:
The connection between an object's mass and the amount of force required to accelerate it is described by Newton's second law of motion. F=ma is a common expression for Newton's second law, which states that the force (F) exerted on an object is equal to the mass (m) of the object times its acceleration (a). This indicates that the greater the mass of an item, the more force is required to accelerate it. And the more force there is, the faster the item accelerates.
A car travels at a speed of 40 m/s for 29.0 s;
what is the distance traveled by the car?
Answer: 1160 m
Explanation:
Speed = distance / time. Plug in 40 m/s for speed and 29 s for time in order to get the distance, 1160 m.
Aresultant vector is the *blank* of two or more vectors.
Answer:
Vector sum.
Adding two things together to make one is usually referred to as a sum, therefore, we can identify this as that.
A 53 g ice cube at −30◦C is dropped into a container of water at 0◦C. How much water freezes onto the ice? The specific heat of ice is 0.5 cal/g · ◦ C and its heat of fusion of is 80 cal/g. Answer in units of g.
For A 53 g ice cube at −30◦C is dropped into a container of water at 0◦C, the amount of water that freezes onto the ice? is mathematically given as
x = 9.93 g
What is the amount of water that freezes onto the ice?Where
Energy received = energy given out
Generally, the amount of water is mathematically given as
(53)(0.5)(30) = (80)(x)
Therefore
x = (49)(0.5)(16)/(80)
x = 9.93 g
In conclusion, the mass of water
x = 9.93 g
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Fill in the blanks with the correct types of energy.
Energy in 1 is Chemical energy, 2 is Thermal energy, 3 is electrical energy the correct answer is option B that is, Chemical, thermal and electrical energy.
Energy ConversionEnergy is the ability to do work.
The conservation of energy state that energy can neither be created nor be distroyed but can be transformed from one form to the other.
According to the question,
CASE 1
The furnance makes use of burning coal to process water to steam in a boiler. The energy involved is Chemical energy.
CASE 2
The steam produce by the boiler is used to power the rotation of the turbine. The energy involved is Thermal energy.
CASE 3
The rotation of the turbine helps the generator to produce electricity. The energy involved is electrical energy.
Therefore, the correct answer is option B that is, Chemical, thermal and electrical energy.
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9. aDefine refraction of light. Draw the ray diagram when an object is placed at C in a concave mirror Write any two natures of that image
Answer:
the process of bending of light when travling throw different mediume is called refraction of light.
The Ice and steam points of a certain thermometer are found to be 20 cm apart. What temperatureis recorded in Celsius when the length of mercury theard is 5cm above the ice point mark?
Why did the chicken cross the road
Answer:
to get to the other side.
Explanation:
bada bam, bop, BOOM
A vector is 0.888 m long and
points
in a
205 degree
direction.
Find the y-component of the
vector.
Answer:
Since the second quadrant ends at 180 deg,
205 will be 25 deg into the third quadrant (-x and -y)
y = -.888 sin 25 = -.375
One can also write y = .888 sin 205 = -.375
A 700-kg car, driving at 29 m/s, hits a brick wall and rebounds with a speed of 4. 5 m/s. What is the car’s change in momentum due to this collision?.
Answer:
Explanation:
Change in car's momentum = 700 * [4.5 - {-29)] = 23,450 kgm/s
Suppose a grower sprays (8.2x10^1) kg of water at 0 °C onto a fruit tree of mass 180 kg. How much heat is released by the water when it freezes?
Since there is no temperature change which drives heat flow, thus no heat will be released by the water.
Heat released by the water when it freezesThe heat released by the water when it freezes is calculated as follows;
Q = mcΔФ
where;
m is mass of waterc is specific heat capacity of waterΔФ is change in temperature = Фf - Фiwhen water freezes, the temperature, Фf = 0 °C
Q = 82 x 4200 x (0 - 0)
Q = 0
Since there is no temperature change which drives heat flow, thus no heat will be released by the water.
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What is the approximate electrostatic force between two protons separated by a distance of 1.0 x 10-6 meter?
1) 2.3 x 10-16 N and repulsive
2) 9.0 x 1021 N and repulsive
3) 9.0 x 1021 N and attractive
4) 2.3 10-16 N and attractive
Answer:
2.3×10^-16
Explanation:
Charge of proton = 1.6×10^-19
let q(a) and q(b) be the two protons.
According to the Coulumbs Laws ;
F = kq(a)×q(b) / r^2
where k = 9.0×10^9 and r is the distance of seperation.
So having a distance of 1.0×10^-6 in our case ;
F = (9.0×10^9×1.6×10^-19×1.6×10^-19)/(1.0××10^-6)^2
F = (2.304×10^-28)/(1.0×10^-12)
F = 2.304×10^-16N
Since the both charges are positively charged they will repel .
. Stephen learned that any two objects exert a gravitational force on each other.
If the distance between two objects triples, the gravitational force between
them will change by a factor of what?
F = G mim
Explanation:
Stephen learned that any two objects exert a gravitational force on each other.
If the distance between two objects triples, the gravitational force between
Stephen learned that any two objects exert a gravitational force on each other. If the distance between two objects triples, the gravitational force between them will change by a factor of 9.
What is gravitational force?The gravitational force is an unobservable force that draws things together. You remain on the ground thanks to Earth's gravity, a gravitational force is a force that also causes objects to fall.
The mathematical expression for the gravitational force is given by
F = G× m₁* m₂ / r ²
As given in the problem statement Stephen learned that any two objects exert a gravitational force on each other. If the distance between two objects triples,
The gravitational force between the objects is inversely proportional to the square of the distance between the object.
Thus, the gravitational force between them changes by a factor of 9.
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#SPJ2
Is this d or not? Pls helppppp
Answer:
B load
Explanation:
definitely not D.
a power source is a battery or a power generator (like at power plants or on good old-fashioned bicycles to have light in the dark).
the fan uses the electrical energy coming from a power source.
if it would be a "propeller" at a wind farm (where power is generated by the wind blowing in between the blades making them turn and as such generating electrical power), then yes, but that is not what the description is telling us.
so, since it is using electrical power to do something, it is a load on the net or circuit or grid.
because it takes out some energy, the actual power generator has to work a little bit harder to maintain the energy level in the grid. just like you have to work harder when you have to carry a bigger weight (or load). hence the name.
the fan will have some conducive material inside (an electrical motor is a structure of coils of wires around magnets, and the power goes through these wires, so they have to be conductive).
and the fan will have a switch, which breaks or establishes the flow of electric energy and therefore determines, if and when the fan is working or not.
A wheel rotates with a constant angular acceleration of 6.0 rad/s2. During a certain time interval its angular displacement is 8.0 rad. At the end of the interval its angular velocity is 14.0 rad/s. What is its angular velocity at the beginning of the interval
The angular velocity at the beginning of the interval of the wheel rotating at a constant angular acceleration is determined as 10 rad/s.
Initial angular velocity of the wheelThe initial angular velocity of the wheel is determined by applying the kinematic equation as shown below;
ωf² = ωi² + 2αθ
where;
ωf is the final angular velocityωi is the initial angular velocityα is angular accelerationθ is angular displacementSubstitute the given parameters and solve for the initial angular velocity.
14² = ωi² + 2(6)(8)
196 = ωi² + 96
ωi² = 196 - 96
ωi² = 100
ωi = √100
ωi = 10 rad/s
Thus, the initial angular velocity of the wheel is 10 rad/s.
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Which of the following would NOT cause acceleration? A. An object falling towards the earth. B. The wind catching the sail of a sailboat. C. A car traveling at a constant velocity. D. A pitcher throwing a baseball.
Define the following terms.
1. plate boundaries
2. seismic
3. seismic waves
4. body waves
5. surface waves
6. tectonic quakes
7. volcanic quakes
8. focus of earthquake
9. epicenter
10. fault
Answer:
I can only define a few of them, hope you don't mind.
Seismic- It means connected with or caused by earthquakes
Epicenter- It means the point on the earth's surface where the effects of an earthquake are most felt strongly.
Fault- A place where there is a break that is longer than usual in the layers of rock in the earth's crust.
Tectonic waves- Waves connected with the structure of the earth's surface.
Plate boundaries- The boundaries that differentiates the large sheets of rock (called PLATES) that form the earth's surface. Plate tectonics is the movement of the large sheets of rocks that form the earth's surface
[tex] \: \: \: \: \: \: \: \: \: [/tex]
any help here please ???
Answer:
16 reflection,incidence
#1 DESCRIBE how magnets work
Answer:All magnets have north and south poles. Opposite poles are attracted to each other, while the same poles repel each other. When you rub a piece of iron along a magnet, the north-seeking poles of the atoms in the iron line up in the same direction. The force generated by the aligned atoms creates a magnetic field.
Explanation: I did this exact question before
An ideal simple machine is one that...
Select one:
a. conserves force.
b. conserves distance.
c. conserves work.
d. conserves velocity.
An ideal simple machine is one that conserves forces because every input force is useful or not lost to friction and it is considered as a perfect or ideal system.
What is an ideal machine?An ideal machine is a type of machine whose efficiency is 100 percent. This type of machine does not loss heat to friction or does no work against frictional forces.
When energy is not lost to friction, we say that such system is perfect or ideal. Or simply put, such system conserves forces.
In Ideal machine, mechanical advantage is one.
Mechanical advantage = output force / input force
In ideal simple machine, output force = input force
Therefore, ideal simple machine is one that conserves forces because every input force is useful or not lost to friction and it is considered as a perfect or ideal system.
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