Answers
Answer:
[tex]\displaystyle m=\frac{2}{3},\ n=\frac{4}{3}[/tex]
Explanation:
Dimensional Analysis
It's given the relation between quantities A, B, and C as follows:
[tex]\displaystyle A=\frac{3}{2}B^mC^n[/tex]
and the dimensions of each variable is:
[tex]A=L^2T^2[/tex]
[tex]B=LT^{-1}[/tex]
[tex]C=LT^2[/tex]
Substituting the dimensions into the relation (the coefficient is not important in dimension analysis):
[tex]\displaystyle L^2T^2=\left(LT^{-1}\right)^m\left(LT^2\right)^n[/tex]
Operating:
[tex]L^2T^2=\left(L^mT^{-m}\right)\left(L^nT^{2n}\right)[/tex]
[tex]L^2T^2=L^{m+m}T^{-m+2n}[/tex]
Equating the exponents:
[tex]m+n=2[/tex]
[tex]-m+2n=2[/tex]
Adding both equations:
[tex]3n=4[/tex]
Solving:
[tex]n=4/3[/tex]
[tex]m=2-4/3=2/3[/tex]
Answer:
[tex]\mathbf{\displaystyle m=\frac{2}{3},\ n=\frac{4}{3}}[/tex]
Related Questions
Rolling Balls LAB - ANSWER SHEET (45 pts)
QUESTIONS:
1. What is the formula for calculating speed? (1 pt)
2. If you were trying to determine if cars in your neighborhood were traveling at or below the posted speed limit, how would you do it? (2 pts)
3. Create a hypothesis as an if-then statement. (2 pts)
4-15. Fill in the Data Table for Balls #1 and #2 (2 pts per blank)
Ball #1 (Describe the ball) - ____________________________________________________
Trial Time to travel 2 meters (seconds)
1
2
3
Average Time
Using the formula s = d/t, calculate the average speed of Ball #1: _____________________
Ball #2 (Describe the ball) - ____________________________________________________
Trial Time to travel 2 meters (seconds)
1
2
3
Average Time
Using the formula s = d/t, calculate the average speed of Ball #2: _____________________
16. Based on your data, which ball was the fastest? (1 pt)
17. Why do you think it was the fastest? (2 pts)
18. Was your hypothesis correct? (1 pt)
19. Do you think size of the ball had anything to do with the speed of the ball? (2 pts)
20. Why or why not? (2 pts)
21. Name 2 factors that could determine the speed at which a ball rolls. (2 pts)
22. A car travels 3 kilometers and it takes 2 minutes to cover that distance What is the speed of the car? (2 pts)
23. A train is traveling at 60 km/hr. It travels for 2 hours. How far will it travel? (2 pts)
24. A girl is riding her bicycle at 10 miles/hour. At the end of the ride she has traveled 35 miles. How long did it take her to cover that distance? (2 pts)
Answers
Answer:
1. s = d/t
22. d = 3km = 3000m
t = 2m = 60s
s = 3000/60
= 300/6
= 50m/s
Therefore, the speed of the car is 50 m/s.
23. s = 60km/hr
t = 2hrs
d = s × t
d = 60 × 2
d = 120km
The car travels for 120km.
24. s = 10mile/hr
d = 35km
t = d/s
t = 35/10
t = 3.5hrs
The girl takes 3.5 hours to cover the distance
Over 75 seconds a truck traveled at a constant velocity of 25 meters per second to the west. Find the trucks displacement
Answers
Answer:
1875 m west
Explanation:
Take east to be the positive direction. Given:
v₀ = -25 m/s
a = 0 m/s² (constant velocity)
t = 75 s
Find: Δx
Δx = v₀ t + ½ at²
Δx = (-25 m/s) (75 s) + ½ (0 m/s²) (75 s)²
Δx = -1875 m
help please, will give brainlist!
Why does it feel cooler at 90°F when the relative humidity is 30% compared to the same temperature and the relative humidity is 80%?
a. Because the drier air evaporates moisture off your skin more easily.
b. There is no real difference because the temperature is the same.
c. Because there is less air movement at 80% humidity.
d. Because the lower humidity brings down the temperature.
Answers
What is the first step when adding two vectors that are not perpendicular?
Answers
Answer:
Two non-perpendicular vectors will not form a right triangle. Yet it is possible to force two (or more) non-perpendicular vectors to be transformed into other vectors that do form a right triangle. The trick involves the concept of a vector component and the process of vector resolution.
A heavy box is pulled across a wooden floor with a rope. The rope forms an angle of
60 degrees with the floor. A tension of 80 N is maintained on the rope. What actually is
pulling the box across the floor?
Answers
Answer:
69.28N
Explanation:
horizontal force
Cos 60°= F(horizontal)/80N
If we cross multiply, we have
F(horizontal)= 80 cos 60°
= 40N
vertical forces
Sin 60°= F(vertical)/80N
If we cross multiply we have
F( vertical) = 80 sin 60°
= 69.28N
Therefore, the vertical force is 69.28N
A 5.00 kg firecracker explodes into two parts: one part has a
mass of 3.00 kg and moves at a velocity of 25.0 m/s towards
the west. The other part has a mass of 2.00 kg. What is the
velocity of the second piece as a result of the explosion?
a -28.7 m/s
b 15.8 m/s
C-37.5 m/s
d 43.2 m/s
Answers
Answer:-37.5 m/s
Explanation:
Answer:
-37.5
Explanation:
After a wave passes through a medium, particles in the medium
Answers
Answer:
If a particle is affected by a wave, then the particles are displaced. They move along the direction of the wave. Hence, After a wave passes through a medium, particles in the medium are moved along with the wave.
Explanation:
hope this helps you
I need a bit of help on this one, can anyone answer?
Answers
Potential energy = m · g · h
-- When you held the ball at 2.0 meters above the floor, it had
(0.5 kg) · (9.8 m/s²) · (2.0 m) = 9.8 Joules of potential energy.
-- After it bounced and went back up as high as it could, it was only 1.8 meters above the floor. Its potential energy was
(0.5 kg) · (9.8 m/s²) · (1.8 m) = 8.82 Joules
-- Between the drop and the top of the bounce, it lost
(9.8 - 8.82) = 0.98 Joule .
-- The energy was lost when the ball hit the floor. During the hit, 0.98 joule of kinetic energy turned to thermal energy, which slightly heated the ball and the floor.
5. You require a high-current battery to start a large tractor. While shopping
for this battery, should you be more concerned with the battery's rating
of volts or amps? Explain.
Answers
Answer:
I have no clue sorry I wish I could help
a person throws a baseball from height of 7 feet with an initial vertical velocity of 50 feet per second. Use the vertical motion model, h = -16t squared + vt + s, where v is the initial velocity in feet per second and s is the height in feet, to calculate the amount of time the baseball is in the air before it hits the ground. Round your answer to the nearest tenth if necessary.
Time in air:_____ seconds
Answers
Answer:33s
Explanation:
Answer: 3.3 seconds
Explanation:
I just did it
If an element forms a 3+ ion in which group of the periodic table would you expect to find it?
A. 15
B. 5
C. 13
D. 2
Answers
If an element forms a 3+ ion, one can expect to find it in group 13 of the periodic table (option C).
What is the periodic table?Periodic table is a tabular chart of the chemical elements according to their atomic numbers so that elements with similar properties are in the same group (column).
The periodic table is made up of vertical columns called group and horizontal rows called periods.
Elements in group 13 form ions with +3 and +1 charges. The elements are as follows:
boron (B)aluminum (Al)gallium (Ga)indium (In)thallium (Tl)nihonium (Nh)Therefore, group 13 elements in the periodic table form +³ ions.
Learn more about periodic table at: https://brainly.com/question/11155928
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1. how Orienteering is an ideal sport for the most promotion of
physical activity and lifetime sports.
Answers
Answer:
Because it comprises both physical and mental activities.
Explanation:
Orienteering is a sport that is known for its physical and mental activities. It is an ideal sport for the most promotion of physical activity and lifetime sports because it involves moving through the wild or difficult terrain. This takes energy to be competitive, and it also requires participants to take challenging decisions now and then.
People of different ages can participate and allows them to apply real-world decision-making skills to the competition. It also gives participants the chance to learn about themselves more and how to face different situations.
what is energy?
a. the number of atoms in an object
b. a form of sound
c. the ability to do work
d. the size of an object
(ik its not b or d, but i dont know)
Answers
Answer:
c
Explanation:
c. the ability to do work or to produce heat
A cheetah and a gazelle are grazing in the savannah. The gazelle is 275 meters away from the gazelle safe zone and the cheetah is 455 meters away. If the gazelle can run at 25 m/s and the cheetah can run at 65 m/s will the gazelle get to safety? If not how fast does the gazelle need to run to beat the cheetah by 2 seconds? I
Answers
Answer:
1) Yes, the gazelle gets to safety
2) The speed with which the gazelle needs to run, to beat the cheater by 2 seconds is approximately 29.79 m/s
Explanation:
1) The distance of the gazelle, from the gazelle safe zone = 275 m
The distance of the cheetah from the gazelle = 455 m
The speed of the gazelle = 25 m/s
The speed of the cheetah = 65 m/s
Therefore, we have;
Let the time the gazelle reaches the safe zone = t, which gives;
t = 275 m/(25 m/s) = 11
t = 11 seconds
Let the time the cheetah reaches the gazelle = t₁, we have;
455 + 25 × t₁ = 65 × t₁
t₁ = 455/40 = 11.375
t₁ = 11.375 seconds
The gazelle reaches the gazelle safe zone before the cheetah reaches the gazelle
Therefore, the gazelle gets to safety
2) In order for the gazelle to beat the gazelle by 2 seconds, we have;
The time for the cheetah to reach the safe zone = (275 + 455)/65 = 11.23 seconds
Therefore, we have;
In order for the gazelle to beat the gazelle by 2 seconds the time the cheetah reaches the safe zone = 11.23 - 2 = 9.23 s
The speed of the gazelle is then 275/9.23 ≈ 29.79 m/s
Answer: d = r · t d + 300cheertah = 18t gazelle = 16t the running times are equal! (d + 300) / 18 = d / 16 Solve ford then determine time.
sorry if its confusing
Please helpers! I wrote the first questions answer but from there i didnt know how to calculate.
Answers
Answer:
3.
Force(f) =2000N
Distance (d) =10m
Time(t)=50 sec
We know,
P=W/t
=f×d/t
=2000×10/50
=400 watt
4.
Force(f) =30N
Distance (d) =10 m
Time(t) =5 sec
We know,
P=w/t
=f×d/t
=30×10/5
=60 watt
If a 53 kg Boulder falls off a cliff, what is the force with which it will hit the ground?
Answers
Answer: 519.4 N
Explanation:
53 kg x 9.8 m/s = 519.4 N
If a 53 kg Boulder falls off a cliff, the force with which it will hit the ground is 519.4 N.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Given in the question a 53 kg Boulder falls off a cliff, what is the force with which it will hit the ground,
force = mass * acceleration due to gravity
= 53 kg x 9.8 m/s
= 519.4 N
If a 53 kg Boulder falls off a cliff, the force with which it will hit the ground is 519.4 N.
To learn more about force refer to the link:
brainly.com/question/13191643
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What type of modulation is typically used by broadcasting stations to transmit pictures on television screens?
O amplitude
O frequency
O phase
O pulse
Answers
Answer:
The correct option is;
Amplitude
Explanation:
When transmitting picture signals over the air by broadcasting stations, the signals are shifted into high frequency channels of Very High Frequency (VHF) or Ultra High Frequency (UHF) carrier currents and imposing the the television signal by changing the amplitude of the high frequency carrier current to match the transmitted television signal waveform shape
What is the average speed of the Earth after one orbit if it travels 585.6 million miles in 12 months?
Answers
Answer:
Forty-eight million eight hundred thousand
Explanation:
You divide 585.6/12. I really hope this helps!!
A 2.0 kg box is pulled along a frictionless, horizontal surface by a force that makes an angle of 30 degrees with the ground. If the box is pulled a distance of 4.0 meters and changes speed from 1.0 m/s to 3 m/s, what was the magnitude of the force on the box?
Answers
Answer:
2 N
Explanation:
v = Final velocity = 3 m/s
u = Initial velocity = 1 m/s
s = Displacement = 4 m
m = Mass of box = 2 kg
Acceleration of the box is
[tex]v^2-u^2=2as\\\Rightarrow a=\dfrac{v^2-u^2}{2s}\\\Rightarrow a=\dfrac{3^2-1^2}{2\times 4}\\\Rightarrow a=1\ \text{m/s}^2[/tex]
Force is given by
[tex]F=ma\\\Rightarrow F=2\times 1\\\Rightarrow F=2\ \text{N}[/tex]
The force on the box is 2 N.
The harmfulness of a germ is called?
Answers
3. Why does any bonding occur (this includes ionic bonding and covalent bonding)?
A.to avoid nuclear decay
B.to decrease stability
C.to increase nuclear decay
.
D.to increase stability
Answers
Answer:im not sure but hope this helps
Explanation:
Covalent bonds are formed because of sharing electrons whereas ionic bonds formation occurs because of transferring of electrons. Molecules are the particles in covalent bonds all through compound formation whereas in ionic bonds these are positively charged and negatively charged ions.
On the same spring day, a station near the equator has a surface temperature of 25°C, 15°C higher than the middle-latitude city mentioned in part a. Vertical soundings reveal an environmental lapse rate of 6.5°C per kilometer and indicate that the tropopause is encountered at 16 km. What is the air temperature at the tropopause?
Answers
Answer:
The air temperature at the tropopause is - 79 °C
Explanation:
We know that a station near the equator has a surface temperature of 25°C
Vertical soundings reveal an environmental lapse rate of 6.5 °C per kilometer.
The tropopause is encountered at 16 km.
In order to find the air temperature at the tropopause we are going to deduce a linear function for the temperature at the tropopause.
This linear function will have the following structure :
[tex]f(x)=ax+b[/tex]
Where ''[tex]a[/tex]'' and ''[tex]b[/tex]'' are real numbers.
Let's write [tex]T(x)[/tex] to denote the temperature '' T '' in function of the distance
'' x '' ⇒
[tex]T(x)=ax+b[/tex]
We can reorder the function as :
[tex]T(x)=b+ax[/tex] (I)
Now, at the surface the value of ''[tex]x[/tex]'' is 0 km and the temperature is 25°C so in the function (I) we write :
[tex]T(0)=25=b+a(0)[/tex] ⇒ [tex]b=25[/tex] ⇒
[tex]T(x)=25+ax[/tex] (II)
In (II) the value of ''[tex]a[/tex]'' represents the change in temperature per kilometer.
Because the temperature decrease with the height this number will be negative and also a data from the question ⇒
[tex]T(x)=25-(6.5)x[/tex] (III)
In (III) we deduced the linear equation. The last step is to replace by [tex]x=16[/tex] in (III) ⇒
[tex]T(16)=25-(6.5)(16)=-79[/tex]
The air temperature at the tropopause is - 79 °C
Which statement best describes the two reactions?
A Upper C l subscript 2 plus upper H subscript 2 right arrow 2 upper H upper C l.
B Superscript 2 subscript 1 upper H plus superscript 3 subscript 1 upper H right superscript 4 subscript 2 upper H e plus superscript 1 subscript 0 n.
Reaction A involves a greater change, and reaction B involves a change in element identity.
Reaction B involves a greater change and a change in element identity.
Reaction A involves a greater change and a change in element identity.
Reaction B involves a greater change, and reaction A involves a change in element identity.
Answers
Answer:
b
Explanation:
i guessed annd got it right
Answer:
Reaction B involves a greater change and a change in element identity.
Explanation:
1. Isotopes have a different nubmer of neutrons in the nucleus. These atoms would have different
as a result. *
A) identities
B) charges
C) atomic numbers
D) atomic masses
Answers
Answer:
i believe atomic mass
Explanation:
Sabiendo que el indice de refracción dela gua es 1,33 calcula el ángulo de refracción resultante para un rayo de luz que incide sobre una piscina con un ángulo de incidencia de 50º
Answers
Answer:
35.16 degrees
Explanation:
Knowing that the index of refraction of the guide is 1.33, calculate the resulting angle of refraction for a ray of light that falls on a pool with an angle of incidence of 50º
Refractive index, n = 1.33
The angle of incidence, i = 50°
We need to find the angle of refraction. let it is r. It can be calculated using Snells law as follows:
[tex]n=\dfrac{\sin i}{\sin r}\\\\\sin r=\dfrac{\sin i}{n}\\\\r=\sin^{-1}(\dfrac{\sin i}{n})\\\\r=\sin^{-1}(\dfrac{\sin 50}{1.33})\\\\r=35.16^{\circ}[/tex]
So, the angle of refraction is 35.16 degrees.
A man exerts a force on a large couch by pushing on it. Which of the following must be a true statement about the couch after he begins pushing?
A. The couch will maintain a constant acceleration due to the man's push.
B. The couch will remain at rest.
C. The couch will remain at rest if the push does not overcome the force of friction.
D. The couch will accelerate and then remain at a constant velocity.
Answers
Answer: the answer is c
Explanation:
As the frequency of a wave decreases, the wave's -
Answers
Answer:
When frequency increases more wave crests pass a fixed point each second. That means the wavelength shortens. So, as frequency increases, wavelength decreases. The opposite is also true—as frequency decreases, wavelength increases.
A bungee cord stretches 17 meters and has a spring constant of 130 N/m. How much energy is stored
in the bungee?
Answers
Answer:
U = 18,785 J
Explanation:
Elastic Energy
Elastic energy is energy stored in an object due to a force that temporarily changes its shape, such as shrinking or stretching.
The elastic energy can be calculated as follows:
[tex]\displaystyle U=\frac{1}{2}k(\Delta x)^2[/tex]
Where k is the spring constant, and \Delta x is the change in the size of the spring.
The bungee cord stretches \Delta x =17 m, and k=130 N/m, thus:
[tex]\displaystyle U=\frac{1}{2}130(17)^2[/tex]
U = 18,785 J
i need help solving this,
Answers
Answer:
8n
Explanation:
Cuanta fuerza se necesita lara evitar que una piedra de 20N caiga?
Answers
Answer:
Reaction is 20N.
Explanation:
In general, Newton's third law of motion explains that when a force is applied on an object, a reaction of equal magnitude applies in the reverse direction of the force.
i.e F = -R
This implies that, reaction is a force in the opposite direction to that of the force applied.
Force can also be related to the weight of an object as;
F = W = mg
Thus to prevent the 20N stone from falling, a force of 20N is applied in the opposite direction. So the reaction, R is 20N.