Suppose A = B"Cm, where A has the dimensions LT, B has dimensions L²T-1, and C has dimensions LT2. Then the exponents n and have the values
Complete Question:
Suppose [tex]A = B^n C^m[/tex], where A has the dimensions LT, B has dimensions L²T⁻¹, and C has dimensions LT². Then the exponents n and m have the values
Answer:
The value of n = ¹/₅
The value of m = ³/₅
Explanation:
Given dimensions;
A = LT
B = L²T⁻¹
C = LT²
The values of n and m are calculated as follows;
[tex]LT = [L^2T^{-1}]^n[LT^2]^m\\\\L^1T^1 = [L^{2n}T^{-n}]\times [L^mT^{2m}]\\\\L^1 \times T^1 = [L^{(2n+m)}] \times [T^{(-n +2m)}]\\\\1 = 2n + m -----(1)\\\\1 = -n + 2m ----(2)\\\\from \ (1); \ m = 1-2n, \ \ substitute \ the \ value \ of \ m \ in\ (2)\\\\1= -n +2(1-2n)\\\\1 = -n + 2-4n\\\\1-2 = -5n\\\\-1 = -5n\\\\1= 5n\\\\n = \frac{1}{5} \\\\m = 1 - 2n\\\\m = 1 - 2(\frac{1}{5} )\\\\m = 1- \frac{2}{5} \\\\m = \frac{3}{5}[/tex]
acontainer is filled whith mercury to alevel of 10m whit water to alevel of 8m and whit oil to alevel of 5m the densities oil ,water and mercury are 0.8g/cm³,1g/cm³ and 13.6g/cm³ calculate the total pressure exerted by the liquids at the base
Answer:
1450.4 KN[tex]m^{2}[/tex]
Explanation:
Pressure = ρhg
where: ρ is the density of the liquid, h is the height and g the force of gravity.
Total pressure exerted by the liquids at the base = Pressure of oil + Pressure of water + Pressure of mercury
So that,
i. Pressure of oil = ρhg
(ρ = 0.8 g/cm³ = 800 kg/m³)
= 800 x 5 x 9.8
= 39200
Pressure of oil = 39200 N[tex]m^{2}[/tex]
ii. Pressure of water = ρhg
(ρ = 1 g/cm³ = 1000 kg/m³)
= 1000 x 8 x 9.8
= 78400
Pressure of water = 78400 N[tex]m^{2}[/tex]
ii. Pressure of mercury = ρhg
(ρ = 13.6 g/cm³ = 13600 kg/m³)
= 13600 x 10 x 9.8
= 1332800
Pressure of mercury = 1332800 N[tex]m^{2}[/tex]
So that,
Total pressure exerted by the liquids at the base = 39200 + 78400 + 1332800
= 1450400
= 1450.4 KN[tex]m^{2}[/tex]
Total pressure exerted by the liquids at the base is 1450.4 KN[tex]m^{2}[/tex].
How does convection current helps cooling the system of engines
When the north poles of two magnets are kept close , they will __________
attract
rotate
repel
remain unaffected
what’s the answer ???
Answer:
i cant even see it
Explanation:
PLEASE HELP...How much power is done when you exert 30J of Work over 5 seconds?
May Help:
In classical physics terms, you do work on an object when you exert a ... to do work (follow the kinetic and potential energy links for a more in ... runs twice as powerfully as the runner that finishes in 5 hours. The unit of power is joules per second or J/s when work is measured in joules and time in seconds.
Spherical mirror is a
Answer:
Spherical mirror is a mirror with a curved reflecting surface.
There are two spherical mirrors -
Concave andConvexConcave Mirror - A spherical mirror , whose reflecting surface is curved inwards , that is , faces towards the centre of the sphere , is called concave mirror.
Cnovex Mirror - A spherical mirror whose reflecting surface is cirved outwards is called convex mirror.
Explanation:
Points of difference :
The reflecting surface of the concave mirror is bulged inwards . But the reflecting surface of the convex mirror is bulged outwards.Concave mirror produces real and inverted images ( except when the object is placed between F and P , concave mirror produces virtual and erect image ) . But is convex mirror always produces virtual and erect images.The image formed by the concave mirror may be enlarged or diminished, according to the position of the object. The image formed by convex will be always diminished.This is an example of a ____________ resource using _______.
A'renewable;; wind
B'nonrenewable; wind
C;renewable; electricity
D;nonrenewable;electricity
Answer:
A
Explanation:
I guess but not sure cause wind is soemthing you can get back electricity is soemthing you can't
what is the correct equation for calculating kinetic energy?
1. kinetic energy = potential energy - total energy
2. kinetic energy = total energy - potential energy
3. kinetic energy = 1/2 x (total energy + potential energy)
4. kinetic energy = potential + total energy
Answer:
2. kinetic energy = total energy - potential energy
Explanation:
The total energy of a system is the addition of kinetic and potential energy of the system. Kinetic energy can be regarded as form of energy posses by an object when it's in motion
Total energy = kinetic energy + potential energy
(If we make Kinectic energy the subject of the formula, we have)
kinetic energy = total energy - potential energy
In a free body diagram all the forces are depicted as pointing _______ the central box
Answer:
There are three forces acting upon the system - the gravity force (the Earth pulls down on the 15.0 kg of mass), the normal force (the floor pushes up on the system to support its weight), and the applied force (the hand is pushing on the back part of the system).
Explanation:
Answer:
what he said
Explanation:
20 A measure of the speed and direction of an object's motion
a. velocity
b. speed.
c. momentum
What made ancient Rome special?
Answer:
Rome became the most powerful state in the world by the first century BCE through a combination of military power, political flexibility, economic expansion, and more than a bit of good luck. This expansion changed the Mediterranean world and also changed Rome itself.
Explanation:
Describe the components of the universe.
3-4 sentences
Answer:
The Universe is thought to consist of three types of substance: normal matter, 'dark matter' and 'dark energy'. Normal matter consists of the atoms that make up stars, planets, human beings and every other visible object in the Universe.
Explanation:
Answer:
Hey mate....
Explanation:
This is ur answer.....
According the NASA's StarChild Website, "The universe is a vast open space which contains all of the matter and energy in existence. The universe contains all of the galaxies, nebulae, stars, and planets. The exact size of the universe is unknown. Scientists believe the universe is still expanding outward.
The Universe is thought to consist of three types of substance: normal matter, 'dark matter' and 'dark energy'. Normal matter consists of the atoms that make up stars, planets, human beings and every other visible object in the Universe.
Hope it helps u,
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Explain why white light splits up into the different colours when it goes through a prism
Answer:
Light splits up into different colors because of the electromagnetic spectrum which makes the light bend, wavelength, and it makes different colors by it :3
Explanation:
:3
Two 15 N forces in same directions are acting on an object. What is the magnitude of the net force?
Answer:
30N
Explanation:
if it is pushing the object to the left then it would be 30N left and if it is pushing the object to the right it would be 30N right
Answer: 30N
Explanation:
The pressure at the bottom of a lake is 300 000 N/m2 more than at the surface of the lake. The lake is fresh water (density = 1000 kg/m3).
Answer:
h = 30.61 m
Explanation:
In this problem they indicate the pressure at the bottom of the lake and the density of the water, for which they must ask what is the depth of the lake.
The pressure is given by the expression
P = [tex]P_{atm}[/tex] + rho g h
P - P_{atm} = rho g h
The gauge pressure value is P- P_{atm} = 3 105 N / m²
h = [tex]\frac{P - P_{atm}}{ \rho \ g}[/tex]
let's calculate
h = [tex]\frac{3 \ 10^5}{1000 \ 9.8}[/tex]
h = 30.61 m
Calculate the momentum of a 1000 kg sports car traveling at 30 m/s.
Answer:
30,000 kgm/s
Explanation:
m = 1000 kg
v = 30 m/s
Plug those values into the equation:
p = mv
p = (1000 kg)(30 m/s)
p = 30,000 kgm/s
The momentum of a 1000 kg sports car traveling at 30 m/s is 30,000 kgm/s.Linear momentum = Mass x Speed.
What is the momentum?The product of an object's mass, m, and its velocity, v, is the vector quantity known as linear momentum. It is represented by the letter "p," which is also used to denote momentum.
Mass of car = 1000 kg
Speed by which car moves = 30 m/s. The momentum of the car =?
Recall that:
Linear momentum = Mass x Speed
= 1000 kg x 30 m/s.
= 30,000 kgm/s
The sum of an object's mass (m) and velocity (v) is known as the object's linear momentum. An equation can be used to explain this relationship. Momentum is defined as the body's mass times its velocity. P = m times v, etc.
Therefore, the momentum of a 1000 kg sports car is 30,000 kgm/s if travels at 30 m/s.
Learn more about momentum, here:
https://brainly.com/question/15350658
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A snowboarder travels 17 m [N], 25 m [S], then 33 m [N]. Choose the correct
statement about the snowboarder's motion *
A. The snowboarder has a larger distance travelled than displacement
B. The snowboarder has a larger displacement than distance travelled
C. The snowboarder has more inertia after the 25 m trip than after the 17 m trip
D. The snowboarder has constant acceleration
A chemical reaction is the only way to an
A: Element
B: Pure Substance
C: Mixture
D: Solution
Answer:
B: Pure Substance
Explanation:
Discuss your theory on why the light bulbs in the combination circuit have
different brightness.
Answer:
The voltage drop across each resistance is the same as the applied one. Hence most of the supplied voltage (the electrical energy) reaches the bulb. Hence it glows brighter. Now in the case of series combination of resistors, the effective resistance of the circuit increases.
Explanation: Discuss your theory on why the light bulbs in the combination circuit have
different brightness.
Help ASAP I’ll give u branliest!! This isn’t really hard
Answer:
I'm pretty sure it's mist, drizzle, droplet, and then rain.
You want to create a space station that is 50 meters in radius. If you want it to simulate Earth's gravitation, how fast must it go?
Answer:
w = 0.196 rad / s
Explanation:
To generate an acceleration similar to that of the earth, the station's centripetal acceleration must be equal to the acceleration due to gravity.
a_c = v² / r = w² r
a_c = g
we substitute
g = w² r
w² = g / r
w = [tex]\sqrt { \frac{g}{r} }[/tex]
let's calculate
w = √9.8/50
w = 0.196 rad / s
therefore the station must rotate at that angular velocity so that the acceleration in the outer wall is equal to the ratio of gravity
Four resistors , R1=12ohms, R2= 15 ohms , R3= 18 ohms and R4=10 ohms are connected to 6 v battery in series what is the total resistance in the circuit?
Answer:
55 ohms
Explanation:
if it was series circuit, then you just need to add all the resistances
a rail car moving at 10m/s collides with and connect to another stationary car. What is their final velocity?
Assume they have the same mass
Answer:
read this it might help some
When a moving object collides with a stationary object of identical mass, the stationary object encounters the greater collision force. When a moving object collides with a stationary object of identical mass, the stationary object encounters the greater momentum change.
Explanation:
A box moves 1000 m horizontally as a force F 2000 N is applied downward. What is the work done on the box by F during the displacement?
Answer:
D. OJ
Explanation:
football player A has a mass of 110 kg is running on the field is velocity of 2 m/s football player B has a mass of 120 kg and a stationary what if football player a collage of the football player babe what is the total momentum after the collision
Complete Question:
Football player A has a mass of 110 kg, and he is running down the field with a velocity of 2 m/s. Football player B has a mass of 120 kg and is stationary. What is the total momentum after the collision?
Answer:
Total momentum = 220 Kgm/s.
Explanation:
Given the following data;
For footballer A
Mass, M1 = 110kg
Velocity, V1 = 2m/s
For footballer B
Mass, M1 = 120kg
Velocity, V1 = 0m/s since he's stationary.
To find the total momentum;
Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.
Mathematically, momentum is given by the formula;
[tex] Momentum = mass * velocity [/tex]
a. To find the momentum of A;
[tex] Momentum \; A = 110 * 2 [/tex]
Momentum A = 220 Kgm/s.
b. To find the momentum of B;
[tex] Momentum \; B = 120 * 0 [/tex]
Momentum B = 0 Kgm/s.
c. To find the total momentum of the two persons;
[tex] Total \; momentum = Momentum \; A + Momentum \; B [/tex]
Substituting into the equation, we have;
[tex] Total \; momentum = 220 + 0 [/tex]
Total momentum = 220 Kgm/s.
The total momentum after the collision will be 220 Kgm/s.Momentum is equal to its mass multiplied by its velocity.
What is momentum?The measurement of mass in motion is called momentum. Momentum is equal to its mass multiplied by its velocity. Mathematically it is given as;
Momentum = Mass x Velocity
The given data in the problem is;
m₁ is the mass of player A= 110 kg
m₂ is the mass of player B= 120 kg
v₁ is the velocity of player A= 2m/s
v₂ is the velocity of player B=0m/s
P is the total momentum=?
The momentum of player A;
[tex]\rm P_A= m_A \times v_A \\\\ \rm P_A= 110 \times 2 \\\\ \rm P_A= 220 \ Kgm/sec[/tex]
The momentum of player B;
[tex]\rm P_B= m_B \times v_B \\\\ \rm P_B= 120 \times 0 \\\\ \rm P_B= 0 \ Kgm/sec[/tex]
The total momentum is given by;
Total momentum = momentum of the player A+ momentum of the player B
[tex]\rm P= P_A+P_B \\\\ \rm P= 220+0 \\\\ \rm P=220 \ m/sec[/tex]
Hence the total momentum after the collision will be 220 Kgm/s
To learn more about the momentum refer to the link;
https://brainly.com/question/4956182
Flexibility training helps reduce the range of motion of your joints and muscles.
True or false
A bicycle has a momentum of 25.00 kg·m/s and a velocity of 2.5 m/s. What is the bicycle’smass?
Answer:
10 kg
Explanation:
p=ma
25=2.5m
m=25/2.5
m=10 kg
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please can someone please help me with this!!
i’ll give 15 points!!
Answer:
Explanation:
Time is a major factor in how much force is being applied. so when there are crumple zones. they crumple and that takes a little longer in an impact and hence lowers the forces considerably :) safety first
why can many ecosystems exit in one biome?
Answer:
Plants and animals that live in a biome must be able to live and reproduce in the conditions
Explanation: