Gustave Eiffel built the Eiffel Tower (1887-89) for the World's Fair in 1889.
Who is Gustave Eiffel ?The edifice as we know it was built in the city of Paris in the country that we call France to commemorate the 100th anniversary of the French Revolution.
The Eiffel Tower was initially intended to be a temporary project, but because of its popularity, it was permitted to stand after the exhibition was over.
It can be seen in the contemporary times as a symbol of Paris and one of the most recognizable landmarks in the entire globe.
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The femur of a human leg (mass 10 kg,
length 0.9 m
) is in traction, as shown in the figure. The center of gravity of the leg is one-third of the distance from the pelvis to the bottom of the foot. Two objects, with masses 1
and 2,
are hung at the ends of the leg using pulleys to provide upward support. A third object of 8 kg
is hung to provide tension along the leg. The body provides tension as well.
Write a mathematical relationship relating 1
to 2
in terms of 2
and numerical coefficients.
The mathematical relationship between m₁ and m₂ is that m₁ is twice the value of m₂.
Length of the femur, L = 0.9 m
Mass of the femur, M = 10 kg
Centre of gravity = L/3
m₁ + m₂ = M
T₁ + T₂ = Mg
m₁g + m₂g = Mg
T₁ + T₂ = m₁g + m₂g
T₁(L/3) = T₂(2L/3)
m₁g(L/3) = 2m₂mg(L/3)
Therefore,
m₁ = 2m₂
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The circuit in Figure 32 includes a battery with a finite
internal resistance, . (a) Find the current flowing
through the and the resistors. (b) How much
current flows through the battery? (c) What is the potential
difference between the terminals of the battery?
The potential difference between the terminals of the battery is 4.8 V.
Internal resistance of the circuit, r = 50 Ω
The effective resistance of 4.5Ω and 1Ω and r,
Reff = 0.5 + 4.5 + 1
Reff = 6Ω
The effective resistance of 7.1Ω and 5.8Ω,
Reff = 7.1 + 5.8 = 12.9Ω
This 12.9Ω is parallel to the 3.2Ω. So,
Reff = 12.9 x 3.2/(12.9 + 3.2)
Reff = 2.56Ω
The effective resistance of 2.56Ω and 6Ω is the total resistance of the circuit.
R = 2.56 + 6 = 8.56Ω
Therefore, total current,
I = V/R = 12/6.56
I = 1.4 A
Potential across the left side, V' = 1.4 x 6
V' = 8.4 V
Potential across the right side, V'' = 12 - 8.4
V'' = 3.6 V
Therefore the potential difference = 8.4 - 3.6 = 4.8 V.
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Two clowns at a circus are performing an act in which one clown jumps down
on a seesaw and launches the other clown, who is standing on the opposite
end, as shown in the image below. Without losses due to friction or air
resistance, this process will go on forever in periodic motion. If the clown cn
the left has a mass of 75 kg and a starting height of 7 m, what is the
maximum height that the clown on the right can reach if she has a mass of
50 kg?
7m
Explanation:
mgh clown 1 = 75 kg * 9.81 m/s^2 * 7 m = 5150.25 J
= mgh of clown 2
5150.25 = 50 kg * 9.81 * h
h = 10.5 m for clown 2
In which stage is the individual aware of the problem and beginning to think
about changing but has made no commitment to change, as they still believe
that the positive aspects outweigh the negative aspects?
OA. Maintenance
OB. Precontemplation
OC. Action
OD. Contemplation
Answer:
B. Pre-contemplation
Explanation:
Hope this helps :)
Can you find out the answers of 20,21,22,23?
Sentences 20, 21, 22, and 23 can be completed as follows:
20. B. Ultraviolet is used to observe star birth and far away galaxies.
21. D. Radio waves is used to observe the depths of the Milky Way galaxy.
22. C. Gamma rays are used to observe supernova explosions and radioactive decay.
23. C. Wernher von Braun developed the V-2 rocket.
What are rays?Rays are beams of light and radiation that can be harmful when used wrongly or advantageous for scientific purposes.
As scientists study extraterrestrial bodies, they often have to use rays for their findings. Gamma rays are known for their use in observing supernova explosions. Also, Wernher Braun is attributed to the development of the V-2 rocket.
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Ramp 1 Ramp 2 Ramp 3
Trial 1 0.95 s 0.78 s 1.31 s
Trial 2 0.87 s 0.75 s 1.27 s
Trial 3 0.92 s 0.80 s 1.44 s
Avg. Time 0.91 s 0.78 s 1.34 s
Which of the following conclusions can be made from the above data?
From this data it is clear that the time require to complete ramp 3 is more than any other, hence it can be large ramp or there are more objectless or turns. Ramp 2 requires least time to complete, it can be shorter or having less number of obstacles.
An inclined plane, also known as a ramp, is a flat supporting surface that is slanted at an angle from the vertical direction, with one end higher than the other, and is used to help raise or reduce a weight. The inclined plane is one of the six traditional basic devices established by Renaissance scientists. Inclined aircraft are used to transport big cargoes over vertical obstructions. Examples include a ramp used to load items into a truck, a person going up a pedestrian ramp, and an automobile or railroad train climbing a gradient. it can have obstacles in the path
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1. Where is the magnetic field the strongest on a bar magnet?
a. Closest to the poles
b. A medium distance away from the poles
2. If a step-down transformer has 220 V coming into the primary coil of 30 turns and 140 V is coming out of the second coil, how many turns in are in the secondary coil?
a. 30
b. 19
c. 0.05
d. 7
1. The magnetic field the strongest on a bar magnet Closest to the poles.
2. There are 19 turns in the secondary coil
How do you calculate the turns in the secondary coil?To find the number of turns in the secondary coil, we say
Vp/Vs = Np/ Ns
Vp is for the primary voltage
Vs is for secondary voltage
Np is for primary turns
Ns is for secondary turns
This translates to;
220/140 = 30/ Ns
1.571 = 30/Ns
To find Ns, we say
Ns = 30/1.571
= 19
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A dog starts from point A and moves 15m toward the east, then turns 90 degrees south and moves 3m. His displacement is
is the answer for this one 15.3m SE
The displacement of the dog from its starting point and the ending point is 15.3 m.
Displacement is defined as the shortest distance between two points and it is a vector quantity and the SI unit of displacement is meter.
From the given,
the starting point of the dog is 15m towards east.
the final point of the dog is 3m towards south.
Initially the dog is east and it moves towards south. By using pythagoras theorem, to find the hypotenuse (displacement (x)),
c² = a² + b²
c² = (15)² + (3)²
= (225+9)
= (234)
c = √(234)
= 15.29 m
The displacement of the dog from the starting and the ending point is 15.3 m.
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A device that changes only the direction of force is known as_____.
Answer:
The answer is a fixed pulley
The switch in the circuit of the figure has been in position "a" for a long time, so the capacitor is fully charged. The switch is changed to position "b" at t = 0. What is the current in the circuit immediately after the switch is closed? What is the current in the circuit 25 µs later?
The current in the circuit 25 µs later, given that the switch is changed to position "b" is 0.36 A
How do i determine the current in the circuit?From the question given above, the following data were obtained:
Voltage (V) = 9.0 VCapacitance (C) = 1.0 µF = 1×10⁻⁶ FResistance (R) = 10 Ω Time (t) = 25 µs = 25×10⁻⁶ sCurrent in circuit (I) =?The current in the circuit can be obtain as illustrated below:
Q = It
But,
Q = CV
Thus,
It = CV
I × 25×10⁻⁶ = 1×10⁻⁶ × 9
I × 25×10⁻⁶ = 9×10⁻⁶
Divide both sides by 25×10⁻⁶
I = 9×10⁻⁶ / 25×10⁻⁶
I = 0.36 A
Thus, from the above calculation, we can conclude that the current in the circuit is 0.36 A
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In a non-uniform electric field, an electric dipole experiences ___ .
In a non-uniform electric field, an electric dipole experiences both a torque and a net force.
What more should you know about a non-uniform electric field?In a non-uniform electric field, the electric field lines are not parallel nor are they evenly spaced out. What this translates to is different parts of an electric dipole experience uneven magnitudes and directions of the electric field.
An electric dipole is a pair of opposite charges separated by a distance, which creates a dipole moment.
When there is a non-uniform electric field, the charges in the dipole have different forces in opposite directions.
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A pendulum of mass 12 kg is released from rest at some height, as shown by
point A in the image below. At the bottom of its arc at point B, it is traveling at
a speed of 19 m/s. What is the approximate amount of energy that has been
lost due to friction and air resistance? (Recall that: g = 9.8 m/s²)
20 m
A35
B186
C78
D112
The energy lost to friction and air resistance is 186 J.
option B.
What is the energy lost to friction and air resistance?The energy lost to friction and air resistance is calculated from the change in the mechanical energy of the pendulum.
The initial potential energy of the pendulum at the initial position is calculated as;
PEi = mghi
where;
m is the massg is gravityh is the initial heightP.Ei = 12 kg x 9.8 m/s² x 20 m
P.Ei = 2,352 J
The final kinetic energy of the pendulum is calculated as follows;
K.Ef = 0.5 x 12 kg x (19 m/s)²
K.Ef = 2,166 J
ΔE = 2,166 J - 2,352 J
ΔE = -186 J
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A device that changes only the direction of force is known as____.
A device that changes only the direction of force is known as simple machine.
What is a simple machine?A simple machine in physics or engineering is a mechanical device that only requires the application of a single force to work.
A simple machine changes the direction or magnitude of a force. In general, they can be defined as the simplest mechanisms that use mechanical advantage (also called leverage) to multiply force.
Examples of simple machines are as follows;
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1 An indoor kart track hosts a racing competition. 3 A student measures the length of the track. State what other measurement should be made to determine the average speed of the kart.
The other measurement that should be made by the student in order to determine the average speed of the kart is time.
What is the average speed?The average speed of a moving object is the ratio of the total distance traveled and the total time taken.
Thus, to determine the average speed of the karts on the indoor track, the time it takes for the karts to complete one lap around the track should also be measured.
Once the length of the track has been determined by the student's measurement, a stopwatch or other timing device can be used to measure the time it takes for each kart to complete one lap.
The average speed can then be calculated by dividing the length of the track by the time it took for the kart to complete one lap.
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