What is significant about John Michell’s contribution to the study of black holes is that he was the first to mention black holes in his writings.
The correct option is A.
What are black holes?A black hole is an area of spacetime with a gravitational pull so intense that nothing, not even light or other electromagnetic waves, can travel beyond its event horizon.
A sufficiently compact mass can distort spacetime to create a black hole, according to the general relativity theory.
The idea of "black stars," or objects that, if compressed to a sufficiently small size, would have an escape velocity that exceeded even the speed of light, was initially put forth by John Michell in 1783.
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in a certain town ,50% of the households own a celullar phone,40% own a pager, and 20% own both a cellular phone and a pager. what is the probability that a randomly chosen household own either a cellular phone or a pager?
Answer:
0.18
Explanation:
20/110=0.18
a car moving at 20m/s applies breaks and slides to stop in 5 second. find the coefficient of friction?
The friction is the stopping force. and the coefficient of friction is 0.4
What is Friction ?Friction is a force that opposes motion. It is a vector quantity and it is measured in Newton.
Given that a car of mass 1200 kg is moving at 20m/s applies breaks and slides to stop in 5 second.
The acceleration of the car can be found by
v = u - at
Where
v = 0u = 20 m/st = 5 sa = ?Substitute all the parameters
0 = 20 - 5a
5a = 20
a = 20/5
a = 4 m/s²
Frictional force F = ma
F = 1200 × 4
F = 4800N
Also, F = μN
Where μ = the coefficient of friction
N = normal reaction = mg
N = 1200 × 9.8
N = 11,760 N
Substitute N and F into the formula
4800 = 11760μ
μ = 4800/11760
μ = 0.4
Therefore, the coefficient of friction is 0.4
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Determine an expression for the time from when the block collides with the spring to when the spring reaches maximum compression
Answer:
1/2 m v^2 = 1/2 k x^2 energy of block will be transferred to spring
1/2 m (x/t)^2 = 1/2 k x^2 x/t max speed of block
t^2 = m / k
t = (m/k)^1/2 = 1 / ω since ω = (k / m)^1/2 for SHM
ω = 2 π f = 2 π / T where T is period
T = 2 π * (m / k)^1/2
t = T / 4 = π / 2 * (m / k)^1/2 1/4 period needed for 1/4 oscillation
The amount of energy released in the cellular respiration is similar to the amount released when methane reacts with oxygen. Why does our body not burn?
Each step of the energy released during cellular respiration is accompanied by the synthesis of ATP. Only a tiny fraction of energy is converted to heat that's why our body doesn't burn.
In a nutshell, what is cellular respiration?The process through which organisms use oxygen to break down food molecules in order to get chemical energy for cellular processes is known as cellular respiration. The cells of animals, plants, and fungi, as well as those of algae and other protists, all engage in cellular respiration.
What is the location of cellular respiration?Cells produce energy through a process called cellular respiration. Prokaryotic and eukaryotic cells both have mitochondria and cytoplasm where cellular respiration takes place.
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If α=40°, β=60°, and M=4.0 kg, determine the tension in string 1 shown.
The magnitude of the tension in string 1 is 20 N.
option D is the correct answer.
What is the tension in string 1?The magnitude of the tension in string 1 is calculated by applying the following kinematic equation.
T₁ cosα + T₂ cosβ = W cos90 ---- ( 1 )
T₁ sinα + T₂ sinβ = W sin90 ----- ( 2 )
Substitute the given values for β and α, to determine the value of Tension T₁ and Tension T₂.
-T₁ cos(40) + T₂ cos(60) = W cos90
-0.766T₁ + 0.5T₂ = 0
0.5T₂ = 0.766T₁
T₂ = ( 0.766T₁ ) / 0.5
T₂ = 1.53 T₁ ----- (3)
T₁ sinα + T₂ sinβ = W sin90
T₁ sin(40) + T₂ sin(60) = (4 x 9.8) sin90
0.64T₁ + 0.886T₂ = 39.2
Substitute the value of T₂ into the above equation as shown below.
The tension in string 1 is calculated as follows;
0.64T₁ + 0.886(1.53 T₁) = 39.2
0.64T₁ + 1.33T₁ = 39.2
1.97T₁ = 39.2
T₁ = 39.2 / 1.97
T₁ = 19.99 N ≈ 20 N
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Which statement correctly compares sound and light waves?Both light and sound waves need matter to carry energy from one place to another.Neither light nor sound waves need matter to carry energy from one place to another.Light waves carry energy parallel to the motion of the wave, while sound waves carry energy perpendicular to it.Sound waves carry energy parallel to the motion of the wave, while light waves carry energy perpendicular to it.
Sound waves carry energy parallel to the motion of the wave, while light waves carry energy perpendicular to it.
What is energy parallel?Energy parallel is a type of energy efficiency strategy that seeks to reduce the amount of energy used in a building or facility by utilizing multiple energy sources instead of relying solely on one. This type of energy efficiency strategy works by drawing energy from multiple sources, such as solar, geothermal, wind, and water energy, and combining them to power a single building or facility. By utilizing multiple energy sources, energy parallel helps to reduce the overall amount of energy used in a building or facility, thus improving its overall energy efficiency. Additionally, this type of energy efficiency strategy helps to reduce the amount of energy that is wasted or lost by utilizing energy sources that are renewable and more sustainable.
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A wire X of Resistance 200, is replaced by wire Y of Resistance 35 A. Both wires are made of the same material, Wire Y is double the area of wire X Wire Y has a length of 2.5m.
Find the length of wire X
Length
- If wire X is connected to a battery of emf-12V. Calculate the current in the wire.
Current
-Calculate the charge passing through the wire in 5 minutes
Charge.
iv-Calculate the Energy consumed by the wire in half an hour.
(a) The length of wire X is 7.14 m.
(b) The current in the wire is 0.06 A.
(c) The charge passing through the wire in 5 minutes is 18 C.
(d) The Energy consumed by the wire in half an hour is 1,296 J.
What is the length of wire X?
The length of wire X is calculated by applying the following formula as shown below;
ρ = RA / L
where;
R is the resistance of the wireA is the area of the wireL is the length of the wireSince the wires are made of the same material, resistivity of wire X = resistivity of wire Y
let wire X = 1
let wire Y = 2
R₁A₁ / L₁ = R₂A₂ / L₂
L₁ = ( R₁A₁L₂ ) / ( R₂A₂ )
L₁ = ( 200Ω x A₁ x 2.5 m ) / ( 35Ω x 2A₁ )
L₁ = 7.14 m
The current flowing in wire X is calculated as follows;
V = IR
I = V / R
where;
V is the voltageR is the resistanceI = ( 12 V ) / ( 200Ω )
I = 0.06 A
The charge passing through the wire in 5 minutes is calculated as follows;
Q = It
Q = 0.06 A x ( 5 x 60 s )
Q = 18 C
The Energy consumed by the wire in half an hour is calculated as;
E = Pt
where;
P is powert is timeE = (IV) x ( t )
E = ( 0.06 A x 12 V ) x ( 30 mins x 60 s )
E = 1,296 J
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The immediate source of the intercellular fluid surrounding
all human body cells is
A) blood plasma
B) enzymatic secretions
C) glomerular filtrations
D) lymphatic tissue
Answer: lymphatic tissue
Explanation:
What is the gravitational force on a 987 kg satellite orbiting
5.1 × 10⁴ m above the surface of Earth? Assume the mass of Earth is
5.97 × 10²⁴ kg.
Answer:
The gravitational force on the satellite can be calculated using the formula:
F = G * ((m1 * m2) / r^2)
Where:
F is the gravitational force
G is the gravitational constant (6.67 × 10^-11 N*m^2/kg^2)
m1 is the mass of the first object (in this case, the satellite)
m2 is the mass of the second object (in this case, Earth)
r is the distance between the two objects
Plugging in the given values, we have:
F = (6.67 × 10^-11 N*m^2/kg^2) * ((987 kg * 5.97 × 10²⁴ kg) / (5.1 × 10⁴ m)^2)
= 9.06 × 10^-6 N
Therefore, the gravitational force on the satellite is approximately 0.00000906 N.
Explanation:
A proton follows the path shown in (Figure 1) . Its initial speed is v0 = 2.8×106 m/s.
What is the proton's speed as it passes through point P?
Express your answer to two significant figures and include the appropriate units.
The proton's speed as it passes through point P is Vp = 1.72 × 10^6 m/s
What is a proton?A proton is described as a stable subatomic particle, symbol p , H⁺, or ¹H⁺ with a positive electric charge of +1 e elementary charge.
From the question have the following parameters
A fixed charge, Q = -10 nC
Initial position of charge particle, proton (q), ro = 3mm
Final position of charge particle, proton (q),
rp = 4mm
Initial velocity of charged particle,
vo =2.8 x 10^6 m/s
Let
vp be the final speed of proton
We then Apply conservation of Energy:
Initial (Potential + kinetic) Energy = Final (Potential + kinetic) Energy
kQq ro + 1/2mVo² = kQq rp + 1/2mVp²
m = 1.67 x 10^-27
Substituting the values and converting from mm to meters, we have that)
Vp = 1.72 × 10^6 m/s
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the orientation of an mrna codon relative to a trna anticodon is best described as: a. antiparallel. b. parallel. c. perpendicular. d. non-complementary.
The orientation of an mRNA codon corresponding to a tRNA anticodon is best described as A: antiparallel.
An anticodon is a three-base sequence, paired with a particular amino acid, that a tRNA molecule brings to the associated codon of the mRNA during translation. The anticodon sequence is said to be complementary to the mRNA, using base pairs in the anti-parallel direction. The tRNA anticodon 3-UAC-5 will make pair with the mRNA codon.
Thus, the orientation of an mRNA codon relative to a tRNA anticodon is said to be antiparallel.
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What's one major difference between the earth's greenhouse effect and an actual greenhouse?
Select one:
a.
Heat escapes from a greenhouse more easily than it does from Earth's atmosphere
b.
The glass in a greenhouse traps heat, while greenhouse gases in the atmosphere absorb and recycle heat
c.
There is no significant difference; both work pretty much the same way
d.
Actual greenhouses are cold in winter, while the greenhouse effect has led to warm winters across the earth
The difference between the earth's greenhouse effect and an actual greenhouse is that the glass in a greenhouse traps heat, while greenhouse gases in the atmosphere absorb and recycle heat. That is option B.
What is a green house gas?The greenhouse gas is the type of gas that is found in the earth's atmosphere that has the ability to absorb heat from the earth's environment.
Examples of greenhouse gases include the following:
carbon dioxide, methane, nitrous oxide, and water vapor.An ordinary greenhouse is used to grow crops such as tomatoes and tropical flowers. Heat is bring trapped inside these houses as the sun shines during the day time.
Therefore, it can be concluded that the major difference between the earth's greenhouse effect and an actual greenhouse is that the glass in a greenhouse traps heat, while greenhouse gases in the atmosphere absorb and recycle heat.
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If you have no weight in outer space (ie. far from any planet or star or any other massive object) what is the acceleration due to gravity that you would experience?
If you have no weight, then the acceleration due to gravity is zero.
What is the acceleration due to gravity?We know that the acceleration due to gravity of the object would have to be the acceleration that would be granted to a body because it is within the sphere of the gravitational pull of the earth.
We must know that the weight of the object is the product of the mass and the acceleration due to gravity. If the object is weightless, the implication of that is that the acceleration due to gravity is zero at that point.
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Why dose earth have a liquid water supply and the moon dose not
Answer:
Because that is how God created things
Explanation:
A Method for Calculating the Spring Constant of Atomic Force Microscopy Cantilevers with a Nonrectangular Cross Section
a. true
b. False
False. A Method for Calculating the Spring Constant of Atomic Force Microscopy Cantilevers with a Nonrectangular Cross Section is not a valid statement.
This is because the spring constant is not affected by the shape of the cantilever, but is instead determined by the material used in its construction, the number of coils in its spring, the wire diameter of its spring, and the amount of tension placed on the spring. Therefore, the statement is incorrect and cannot be used to calculate the spring constant of atomic force microscopy cantilevers with a nonrectangular cross section.
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How do we sip water from glass using straw?can we sip water with straw on moon?
A ladder, length L, with mass M, leans against a frictionless wall at an angle of θ=70° as shown.
1) If the ladder is in static equilibrium,
The net force is zero but the net torque is not.
The net torque is zero but the net force is not.
The net force and net torque are both zero.
Neither net force nor net torque is zero.
2) Which of these free body diagrams best represents the forces on the ladder?
3) At which of the following locations can we put the rotation axis we use when calculating torques?
Only at the center of the ladder.
Only at the bottom left end of the ladder.
Only at the top right end of the ladder.
We can choose any of these locations for the rotation axis.
4) For the rest of these problems, we're using the top right end of the ladder as our pivot point. What is the magnitude of the torque from the force of gravity, around this point?
L* M g* sin (θ)
L* M g* cos (θ)
(L/ 2)* Mg g* sin (θ)
(L/ 2)* M g* cos (θ)
a 0.40 kg object is moving on a frictionless surface with a speed of 30 m/s. A force of 2.0N is applied continually until the velocity of the object has been reversed. How long was the force applied?
The time the force was applied to the obeject of mass 0.4 kg is 12 seconds
What is impulse?
Impulse is the product of force and time.
To calculate how long the force was applied, we use the formula of impulse.
Formula:
Ft = m(v-u).................. Equation 1Where:
F = Forcet = Timem = Massv = Final velocityu = Initial velocityFrom the question,
Given:
m = 0.4 kgv = -30 m/s (reversed)u = 30 m/sF = -2.0 N (Acting against the direction of motion)Substitute these values into equation 1 and solve for t
-2.0t = 0.4(-30-30)-2.0t = -24t = -24/-2t = 12 secondsHence, the time is 12 seconds
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Air flows through this tube at a rate of 1100cm³ / s. Assume that air is an ideal fluid.
(Figure 1)
What is the height h of mercury in the right side of the U-tube?
Express your answer with the appropriate units.
h = ____ ____
The height of the mercury on the right side of the tube is 3.69 cm.
What is the height of the mercury on the right side of the tube?The height of the mercury on the right side of the tube is determined as follows:
Using Bernoulli's equation;
p₁ + ¹/₂ρv₁² = p₂ + ¹/₂ρv₂²
p₁ - p₂ = ¹/₂ρ(v₁² - v₂²)
From the continuity equation;
A₁v₁ = A₂v₂
v₁ = A₂v₂ / A₁
v₁ = A₂v₂ / π(r₁/2)²
The rate of airflow in the tube (A₁v₁ = A₂v₂) is 1100 cm³/s
Substitute the values in the equation above;
v₁ = 1100/π(/2)²
v₁ = 350.14 cm/s or-3.50 m/s
Also, v₂ = A₁v₁/A₂
v₂ = 1100/ π(0.4/2)²
v₂ = 8753.5 cm/s or 87.5 m/s
The pressure difference in the U-shaped tube is
p₁ - p₂ = ρ'gh
where;
ρ' is the density of mercury = 3.6 * 10³ kg/m³
Solving for h in the equation above;
h = p₁ - p₂ / ρ'g
Note that p₁ - p₂ = ¹/₂ρ(v₁² - v₂²)
Therefore, h = ¹/₂ρ(v₁² - v₂²) / ρ'g
Substituting the values in the equation;
h = ¹/₂(1.29 )((87.5) - (3.50)) / (13.6 * 10³)(9.8)
h = 0.0369 m or 3.69 cm
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Calculate the energy used when is ship's anchor which 4, 000N is lifted up from the sea bed which is 50m below the ship
Explanation:
Work done = force × distance
= 4,000 × 50
= 200,000 joules
Metal panels that are designed to act as stressed-skin panels are attached directly to the structural frame of the building with
a. bags
b. straps
c. clips
d, mats
Metal panels that are designed to act as stressed-skin panels are typically attached directly to the structural frame of the building using straps, clips, or mats.
Straps are typically used to connect the panel to a supporting member, while clips are used to secure the panel to a non-supporting member. Mats are used to provide additional support for the panel and to distribute the load evenly across the panel.
This is beneficial for the structural integrity of the building since it ensures that the panel will not be subjected to too much stress in one specific area. Additionally, it allows for better load distribution, which can help to reduce the overall weight of the building, as well as reduce stress on the individual panels.
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Several motorboats with the same mass are used in an experiment. the forces of the different motors versus their accelerations are graphed. what is the y-intercept of this graph?
The y-intercept of a graph is the point at which the graph crosses the y-axis. In this case, the y-intercept of the graph showing the relationship between the motor's force and the boat's acceleration would represent the force required to produce zero acceleration.
In this scenario of the boats being used in an experiment, if the boats have the same mass and the motors are producing force, and the forces are graphed against the acceleration, this will give us a straight line, and the y-intercept of this graph will be the force required to keep the boat at a zero acceleration, this force is known as "friction force" which includes the friction force of the water and the friction force of the bearings in the motor and other mechanical parts in the boats and motor.
It's worth noting that, in practice, getting the y-intercept in this experiment might be very hard as it's very rare to get zero acceleration. Still, one can aim for the lowest possible acceleration, and the force measured can be considered as an approximation for the friction force.
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Find the magnitude of the sum of these two vectors.
Answer:
sol:
tanβ=[tex]\frac{101*sin(60)}{85+101*cos(60)}[/tex]
β=[tex]tan^{-1}[/tex](0.64552)
β=32.84
therefore, the direction is 32.84
The velocity v of a particle at a time tis given by;
v=at+ b/(t +c)
Determine the dimensions of a, b and c.
Answer:
Here in the question the dimensions of a ,b and c can be calculated by using the principal of homogeneity
A 1.2 kg object hanging from a spring of force constant 300 N/m oscillates with a maximum speed of 30 cm/s. (a) What is its maximum displacement? When the object is at its maximum displacement, find (b) the total energy of the system, and (c) the gravitational potential energy. (Choose potential energy as zero when the object is in equilibrium).
The maximum displacement = 0.0189 m
The Total energy of the system = 1.188 J
The Gravitational potential energy = 0.22 J
Let m be = Mass of the object = 1.2 kg
As given K = Spring Constant of the spring = 300 N/m
Let v denote = Maximum speed with which the body oscillates = 30 cm/s
Let 'x' be the maximum displacement of the body
x²= mv²/k=1.2* 0.3 /300= 0.0189
Total energy= kinteric energy+potential energy =kx²/2 + mv²/2
=1.188J
The Gravitational potential energy of the system is
E=Mgx=1.2*9.8*0.0189
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The 1.2 kg object's maximum displacement when it is suspended from a spring with a 300 N/m force constant oscillates at a maximum speed of 30 cm/s. This displacement is equal to 0.0189 m.
How to calculate displacement and energy?When the object is displaced to its maximum, the system's total energy is 1.188 J.
The energy of gravity is equal to 0.22 J.
Allow m to be equal to 1.2 kg, the object's mass.
K = Spring as stated. Springs have a constant of 300 N/m.
the body can oscillate at a maximum speed of 30 cm/s (let v signify this).
Suppose that "x" represents the body's largest displacement.
x²= mv²/k=1.2* 0.3 /300= 0.0189
Total energy = interstellar energy + potential energy = kx2/2 + mv2/2
=1.188J
According to the system's gravitational potential energy,
E=Mgx=1.2*9.8*0.0189
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Which diagram shows the correct setup for an electromagnet?
O A.
O
O
B.
Battery.
Battery.
- Battery
Ammeter
A
Ammeter
A
Ammeter
A
个
Battery
✓
SUBMIT
Answer:
B
Explanation:
You want the diagram that shows the correct setup for an electromagnet.
ElectromagnetAn electromagnet is defined as a soft metal core that becomes a magnet when current is passed through a coil around it. Only diagram B shows a coil around a metal object. That coil is arranged in a circuit with a battery so that current will flow through the coil.
Diagram B shows the correct setup for an electromagnet.
A runner begins a race from rest and reaches a final speed of 22mph. It takes 3.45s. If the runner's mass is 76.4 kg and 1 mile = 1,609.34m. A) What is the runner's acceleration?
B) What is the magnitude of the downward force acting on the runner?
Acceleration:
a = (22 mph - 0 mph) / (3.45s) = 6.37 mph/s
Magnitude of the Downward Force:
F = m*a = 76.4 kg * 6.37 mph/s = 484.53 N
There exist two parallel 1 m x 1 m x ~0 m (infinitesimally thin) conducting plates sitting
parallel to each other and the xz-plane. The positively charged plate is at y = 0, and the negatively
charged plate is at y = 0.01 m. An electron is released from rest in between the charged plates. Explain
why the electron moves in the proper direction in terms of the forces acting on the electron.
An electric field is a region in which electric charges sustain electrical conduction. An electric field describes the electrical environment around an electron.
What is meant by electric force?The electric force is the force between two charged bodies due to electric charges. The electric field at a point indicates the force experienced by a positive unit test charge at that point.
In this case, electrons move to higher potentials. Since the electric field is directed from the positive plate to the negative plate, electron acceleration occurs towards the negative plate and the negative plate is deflected towards the positive plate.
In this case, the electrostatic force is F = E q,
Here the electric field E = V/d is constant and the charge on the electron is constant, so the force on the electron is constant. Hence, the electron moves in the proper direction in terms of the forces acting on the electron.
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If M^aL^bT^c is the dimensional formula of force, find 2a - b-c.
Answer:no
Explanation:
no
An atom of an element can change into an atom of another element if it is:
A. extremely stable
B. radioactive and it's nucleus can trap or emit particles
C. an ion and it's atomic number is larger than it's mass number
D. an isotope and it has more electrons than neutrons
Answer:
B. radioactive and it's nucleus can trap or emit particles
Explanation:
Each element is unique because of the number of protons it possesses. All the atoms of one particular element will have same amount of protons. Thus, if I want to change an atom of an element into atom of another element, i must have a way to mess with the proton count and such. These are seen in radioactive process like fusion, fission, nuclear decay etc.
