Let's see
Radius of earth=6371mTwice of it=6371(2)=12742m[tex]\\ \rm\rightarrowtail T=2\pi\sqrt{\dfrac{l}{g}}[/tex]
[tex]\\ \rm\rightarrowtail T=2\pi \sqrt{\dfrac{4}{g}}[/tex]
[tex]\\ \rm\rightarrowtail T=2\pi\dfrac{2}{\sqrt{g}}[/tex]
[tex]\\ \rm\rightarrowtail T=\dfrac{4\pi}{\sqrt{g}}[/tex]
So
[tex]\\ \rm\rightarrowtail g=\dfrac{16\pi ^2}{T^2}[/tex]
Answer:
g' = 1.09 m/s²
T = 12 s
Explanation:
Gravity due to acceleration
Distance from center of Earth = r + 2r = 3rgravity due to acceleration on surface, g = GM/r²Substitute 3r in the denominatorg' = GM/(3r)² = GM/9r²⇒ g' = g/9 = 9.8/9 = 1.09 m/s²
Time period
T = 2π√L/g'T = 2π√4/1.09T ≅ 12 sWhich of the following statements about waves are true? Select all that apply.
O
Sound waves cannot travel through empty space.
Sound waves can travel through liquids.
Light waves are not true waves.
Light waves need matter in order to travel.
Waves can only move matter up and down or from side to side.
Answer:
Sound waves cannot travel through empty space
sound can travel through liqui
Sound waves cannot travel through empty space but can travel through liquids. Waves make the particles of matter up and down but do not along with them. The light waves are not true mechanical waves. Therefore, options (A), (B), (C), and (E) are correct.
What are sound waves?Sound can transmit through liquids, gases, and plasma as longitudinal waves, also known as compression waves. It needs a medium to propagate so it can be propagated through solids as both longitudinal waves and transverse waves.
Longitudinal sound waves contain alternating pressure deviations causing compression and rarefaction, while transverse waves have waves of alternating shear stress perpendicular to the direction of propagation.
Waves can make matter move up and down or from side to side but do not carry along with them. Light waves are not considered true waves because they carry without the involvement of the motion of matter.
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A proton wit a kinetic energy of 9. 3 x 10^-15 j moves perpendicular to a magnetic field of 0. 87 t. What is the radius of its circular path?
The radius of the given circular path moved by the proton which is perpendicular to a magnetic field of 0.87 T determined as 4 cm.
Magnetic force of the protonThe magnitude of the magnetic force on the proton is determined using the following formula;
F = qvBsin(θ)
Centripetal force on the protonThe centripetal force of the circular path is given as;
F = mv²/r
Solve the two equations together,
[tex]\frac{mv^2}{r} = qvBsin(90)\\\\r = \frac{mv}{qB}[/tex]
Where;
v is the speed of the protonSpeed of the protonThe speed of the proton is determined from its kinetic energy;
[tex]K.E = \frac{1}{2}mv^2\\\\ v= \sqrt{\frac{2K.E}{m} } \\\\v = \sqrt{\frac{2 \times 9.3 \times 10^{-15}}{1.67 \times 10^{-27}} } \\\\v = 3.33\times 10^6 \ m/s[/tex]
Radius of the circular pathThe radius of the circular path is calculated as follows;
[tex]r = \frac{(1.67 \times 10^{-27}) \times (3.33 \times 10^6)}{(1.6\times 10^{-19}) \times (0.87)} \\\\r = 0.04\ m\\\\r = 4 \ cm[/tex]
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How to know if two vectors are linearly independent
Answer:
Given a set of vectors, you can determine if they are linearly independent by writing the vectors as the columns of the matrix A, and solving Ax = 0.
Explanation:
You may verify if a group of vectors is linearly independent by expressing the vectors as columns of the matrix A and solving Ax = 0.
What is a vector?A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.
If no vector can be written as a linear combination of the others, a set of vectors is said to be linearly independent.
If no vector in a collection of vectors can be written as a linear combination of the ones mentioned before it, the set is said to be linearly independent.
A nontrivial linear combination yields the zero vector, the vectors are said to be dependent.
You may verify if a group of vectors is linearly independent by expressing the vectors as columns of the matrix A and solving Ax = 0.
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1. Why don't you see your reflection in a building made of rough, white stone?
If a 2.00 kg ball is thrown straight up world and its maximum height is 25.51 m. Approximately how much potential energy (PE) dose the ball possess when it reaches it’s maximum height (g=9.8 m/s^2)
Answer:
500
Explanation:
im not sure if this is right but if its not im very sorry and i hope you have a great day or night wherever you are
help me with this one aswell, too confused and tired for this
I have an answer but I'm not it sure about it. I just need someone to help confirm it. Thanks
Answer:
0.40s. He's dead, Jim.
Explanation:
The block accelerates at a rate of [tex]9.81 ms^-^2[/tex]. The moment it's 14 meters from the ground, it has traveled 39 meters, in about [tex]39=\frac12(9.81)t^2 \rightarrow 2.82 s[/tex].
For the man to dodge, the time left is the distance the block takes to go down to 2 meters from ground, or 51 meters from its starting point. Which translates in [tex]51=\frac12(9.81)t^2\rightarrow 3.22s[/tex]
He has thus less than half a second ([tex]0.40s[/tex] to be exact) to dodge.
This fossil snake and this living rat both have a structure in their skull called the quadrate bone. What best explains why both species have a quadrate bone?
The snake and rat both share the same ancestor population that had a quadrate bone, which was inherited from an ancestor population.
What is a homo-logous structure?A homo-logous structure is a trait that may or not have the same function but has a common evolutionary origin.
A homo-logous structure can be used to trace the evolutionary relationships between species.
Conversely, an analogous structure has the same function but it does not reflect an evolutionary origin.
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A 1.2-kg hot iron sphere with heat capacity
576 J °C-1 is cooled by immersing it in a tank of
water (Fig g). (See the photo that I uploaded)The mass of the water is 3 kg and
its initial temperature is 12 °C. After 5 minutes,
both the iron sphere and the water reach a final
temperature of 15 °C.
(a) Find the energy gained by the water.
(b) Find the average rate of energy transfer from
the iron sphere to the water.
(c) What is the initial temperature of the iron
sphere?
Given the data from the question, the heat gained by the water, the rate of energy transfer and the initial temperature of the iron are:
A. The energy gained by the water is 37656 J
B. The average rate of energy transfer from
the iron sphere to the water is 125.52 J/s (Watts)
C. The initial temperature of the iron
sphere is 65.4° C
A. How to determine the heat gained Mass of water (M) = 3 Kg = 3 × 1000 = 3000 gInitial temperature (T₁) = 12 °C Final temperature (T₂) = 15 °Change in temperature (ΔT) = 15 – 12 = 3 °C Specific heat capacity (C) = 4.184 J/gºC Heat (Q) =?Q = MCΔT
Q = 3000 × 4.184 × 3
Q = 37656 J
B. How to determine the rate of energy transfer Heat (Q) = 37656 JTime (t) = 5 min = 5 × 60 = 300 sPower (P) =?Power = energy / time
Power = 37656 / 300
Power = 125.52 J/s (Watts)
C. How to determine the initial temperature of the iron Mass of iron (M) = 1.2 Kg = 1.2 × 1000 = 1200 gHeat capacity (C) = 576 J/ºC Heat (Q) = 37656 JTemperature (T) =?Q = CT
37656 = 576 × T
Divide both side by 576
T = 37656 / 576
T = 65.4° C
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A microwave has a period 0.000015 s has a wavelenth of ?
(Round your answer to the nearest hundreth. Add a zero to the begining of the number if necessary.)
Answer:
30 cm to 1 mm
Explanation:
30 cm to 1 mm
Using the model above, which letter represents the position of the earth when the northern hemisphere is experiencing the shortest hours of daylight
A
B
C
D
Answer:
At position "B" the northern hemisphere is tilted the most from the earth-sun direction and will experience the shortest hours of daylight, (and also the most indirect sun rays).
A body of mass 0.1 kg falling freely under gravity takes 10 s to reach the ground. Calculate the kinetic energy and potential energy of the body when it has travelled for first 6 s. Given, g = 9.8 m/ s²
Answer: KE = 172.872 J
PE = 307.328 J
Explanation:
For KE: acceleration = change in velocity / time → 9.8 = final velocity - 0 (because initial velocity is zero) / 6s → final velocity after 6s = 58.8 m/s.
Now, plug this into: KE = 1/2(m)(v^2) → KE = 1/2(.1)(58.8^2) = 172.872 J.
For PE: Find the velocity after 10 s: acceleration = change in velocity / time → 9.8 = final velocity - 0 (because initial velocity is zero) / 10s → final velocity after 10s = 98 m/s.
Now, find the total height: (v final)^2 = (v initial)^2 + 2*a*d → 98^2 = 0^2 + 2*9.8*d → d = total height = 490 m.
Now, find the change in height after 6 s: (v final)^2 = (v initial)^2 + 2*a*d → 58.8^2 = 0^2 + 2*9.8*d → d = change in height after 6 s → 176.4 m
Now, subtract the change in height from the total height to get its height after 6s: 490-176.4=313.6m
PE = m*g*h → Pe=.1*9.8*313.6 = 307.328 J :)
Help please. Will give brainliest
Answer:
Your answer would be:
B.) Both carry energy in the form of vibration
Explanation:
Have a great rest of your day
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Two objects of the same mass travel in the same direction along a horizontal surface. Object X
has a speed of 5 ms
and object Y
has a speed of 2 ms
, as shown in the figure. After a period of time, object X
collides with object Y
.
Consider the situation in which the objects collide but do not stick together. Which of the following predictions is true about the center of mass of the two-object system immediately after the collision?
After the collision, object X will move at a speed of 2 m/s in its original direction while object Y will move at a speed of 5 m/s in its original direction.
Elastic collision of the two objectsWhen the two objects collide but do not stick together, the type of collision is elastic collision.
In elastic collision, both momentum and kinetic energy are conserved.
Final velocity of the two objects after collsionmu₁ + mu₂ = mv₁ + mv₂
5m + 2m = mv₁ + mv₂
m(5 + 2) = m(v₁ + v₂)
7 = v₁ + v₂ -------- (1)
Apply the concept of one direction velocity;
u₁ + v₁ = u₂ + v₂
5 + v₁ = 2 + v₂
v₂ = v₁ + 3 ------ (2)
Solve (1) and (2) together;
7 = v₁ + v₁ + 3
4 = 2v₁
v₁ = 2 m/s
v₂ = 2 + 3 = 5 m/s
Thus, after the collision, object X will move at a speed of 2 m/s in its original direction while object Y will move at a speed of 5 m/s in its original direction.
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A student wants to make a scientific explanation regarding the wave model of electromagnetic radiation. Which of the following would be part of the scientific explanation?(1 point)
claims
opinions
historical events
procedures
Answer:
Explanation:
I can say claims
Electromagnetic radiation are a group of waves which are are produced by the vibrations of electromagnetic fields.
What is electromagnetic waves?Electromagnetic radiation are a group of waves which are are produced by the vibrations of electromagnetic fields. Electromagnetic waves/radiation possess the ability to travel through vacuum (i.e. they do not require a material medium for their propagation) while also carrying radiant energy.
Electromagnetic fields which are the sources of electromagnetic radiation, exist as a result of the combination and interaction of travelling electric and magnetic field forces.
Electromagnetic radiations consists of the following waves: radio waves, infrared waves, visible light, ultraviolet rays, X-rays, and gamma rays.
These waves have differing and unique properties such as wavelength, frequencies, ionizing properties, penetrating ability, sources as well as well as uses. However, they have a common property of velocity- they travel with the speed of light, 3.0 * 10⁸ m/s.
In addition to having the same velocity, all electromagnetic radiation exhibit interference and diffraction.
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A rock with a 8 kg mass is tied to a string and swung in a circular path. The 1.8 meter string is tied to a post, and during the motion, the string has a 35° angle with the post. The rock makes 100 rounds in 3 minute. The centripetal force on the ball is __ N.
The centripetal force of the rock tied to a string and swung in a circular path is determined as 1.65 N.
Angular speed of the rock
The angular speed of the rock is calculated as follows;
ω = 2π N
[tex]\omega = 35^0 \times \frac{2 \pi \ rad}{360^0} \times \frac{100}{3\min} \times \frac{1 \min}{60 \ s} \\\\\omega = 0.339 \ rad/s[/tex]
Centripetal force of the rockThe centripetal force of the rock is calculated from the product of mass and centripetal acceleration as shown below;
Fc = ma
Fc = m(ω²r)
Fc = mω²r
Fc = 8 x (0.339)² x 1.8
Fc = 1.65 N
Thus, the centripetal force of the rock tied to a string and swung in a circular path is determined as 1.65 N.
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Which is NOT a characteristic of
the temperate region?
A. a lot of organic matter
B. moderate temperatures
C. moderate rainfall
D. under-developed soil horizons
Answer:
under developed soil horizons
the earth exerts a gravitational force of 850N on John. What is Johns mass in kg
Answer:
86.73 kg
Explanation:
Remember that F=mg
Let's plugin our numbers
850N=m9.8m/s^2
850N=9.8m/s^2m
86.73=m
Which is NOT a part of transverse waves?
A. wavelength
B. trough
C. compression
D. crest
Answer:
C. Compression
Explanation:
✧✧✧EMOTIONAL DAMAGE✧✧✧
kleann
How do scientists know that seafloor spreading occurs?Explain how this spreading causes the continents to seperate.
Which is the surest test of charge on a body?
(a) Repulsion
(b) Lightning
(c) Combustion
(d) Insulation
Answer:
Repulsion
Explanation:
Unlike attraction of magnets opposite polls
Repulsion happens between same polesLike if you put north pole to north poll they get repulsed .Same with south polesAnswer:
Repulsion
Explanation:
Brainliest MisterBrainly
[tex]\red{ \rule{0pt}{900000pt}}[/tex]
a wind turbine is an example of what kind of device
a. a generator
b. a transformer
c. a motor
d. an electromagnet
Answer:
it’s an example of a generator.
Explanation:
Answer:
Generator
Explanation:
valid
more than one option this is hard
write comparison between Electrical Circuit and Magnetic Circuit.
[tex] \\ \\ \\ \\ \\ \\ \\ [/tex]
Thanks¡!¡:)
Magnetic circuit, closed path to which a magnetic field, represented as lines of magnetic flux, is confined.
In contrast to an electric circuit through which electric charge flows, nothing actually flows in a magnetic circuit.
Explanation:
Hope it helps you (`▿▿▿▿´ƪ)
PLEASE HELP ASAP
1) During a transformation, a positive radon nucleus repels a positive helium nucleus
(m = 6.64 × 10–27 kg), giving it an energy of 7.37 × 10–13 J. How fast is the helium
nucleus moving when it is far away from the radon nucleus? Draw an energy bar chart
to assist you.
2) A positive charge of +7.2 μC and a positive charge of +6.64 μC are 10 cm apart, at
rest. After t seconds, the particles are at a distance 15 meters apart with velocities
–8.7 m/s and 9.1 m/s, respectively. Draw an energy bar chart of the situation and
determine the direction of the forces and velocities of each charge.
What does a 'dead' battery mean chemically? a) q > 1 b) q < 1 c) q = 1 d) q = k e) q/k = 0
Answer:
d) q=k
Explanation:
When a battery is "dead" it means that the chemical components are at equilibrium. When that occurs,
Δ
G
= 0, and Q = K.
A 'dead' battery mean chemically Q=1. At this position, the battery is at equilibrium condition, and considered as dead.
What is dead battery?Dead battery is the battery in which no flow of electron take place as there is no potential difference.
Chemically, the battery is considered as dead battery, when there is no chemical process happens in battery.
Q is a reaction quotient of Nernst Equation for a battery.At the equilibrium condition, the value of Q is to become equal to 1. At this condition, the battery is considered as dead.Thus, a 'dead' battery mean chemically Q=1. At this position, the battery is at equilibrium condition, and considered as dead.
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A body of mass 5kg is ejected vertically from the ground when a force of 600N acts on it for 0.1s. Calculate the velocity with which the body leaves the ground.
Assuming g=10N
upward force=600N(applied force)
downward force=(W)=(5x10)=50N
net force=600-50
=550N
F=(delta)P/t
(delta)P=m (v-u)
u=0m/s
(delta)P=mv
550=(5)(v)/0.1
550x0.1
55=5v
v=11m/s
there was no mention of any gravity acting on the object only applied force ,infact we aren't even given the constant
so many assumptions have been made whyyyyyyy!!!
what's your take on it scientists
if i were to (HYPOTHETICALLY) punt a small child off of a building, (HYPOTHETICALLY) how long would it take for the (VERY HYPOTHETICAL) child to reach maximum velocity?
(HYPOTHETICALLY) the child would weigh 88 pounds, have blond hair and blue eyes, and (HYPOTHETICALLY) be named "Jacob."
THIS QUESTION IS HYPOTHETICAL AND I AM TOTALLY NOT PLANNING TO COMMIT AN ATROCITY!
Answer:
Around 190-ish miles per hour when it hit the ground maybe
Explanation:
Which statement correctly describes the relationship between frequency and wavelength?
A :As the frequency of a wave increases, the longer its wavelength is
B: As the frequency of a wave increases, the shorter its wavelength is.
C: As the frequency of a wave increases, its wavelength remains the same.
Answer:
Answer:
Option B
Explanation:
Option B talks about how the frequency of the wave increases the shorter it's wavelengths
Answer:
b
Explanation
B: As the frequency of a wave increases, the shorter its wavelength is.
Suppose that a simple pendulum consists of a small 60.0 g bob at the end of a cord of negligible mass. If the angle 0 between the cord and the vertical is given by g - (0.0800 rad) cos[(4.43 rad/s) t 0], what are (u) the pendulum's length and (b) its maximum kinetic energy
Based on the mass of the bob and the angle between the cord and the vertical, the pendulum length is 0.50m.
The maximum kinetic energy can be found to be 9.42 x 10⁻⁴J.
What is the pendulum length?This can be found as:
= g-force / w²
Solving gives:
= 9.8 / 4.43²
= 0.4998 m
= 0.50 m
What is the maximum kinetic energy?This can be found as:
= 0.5 × m × w² × A²
Maximum kinetic energy is:
= 0.5 × 60 × 10⁻³ × (4.43 × 0.4998 x 0.08 rad)²
= 9.42 x 10⁻⁴J
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