Explanation:
When a constant force acts upon an object the acceleration of the object varies inversely with its mass.
[tex]a\propto \dfrac{1}{m}[/tex]
or
[tex]\dfrac{a_1}{a_2}=\dfrac{m_2}{m_1}[/tex]
If m₁ = 21 kg, a₁ = 3 m/s², m₂ = 9 kg
We need to find a₂
So,
[tex]a_2=\dfrac{m_1a_1}{m_2}\\\\a_2=\dfrac{21\times 3}{9}\\\\a_2=7\ m/s^2[/tex]
So, if mass is 9 kg, its acceleration is 7 m/s².
Answer:
A AND B
Explanation:
34. A chain of hamburger restaurants advertises that it
has sold more than 50 billion hamburgers over the
years. Estimate how many pounds of hamburger
meat must have been used by the restaurant chain
to make 50 billion hamburgers and how many head
of cattle were required to furnish the meat for these
hamburgers.
Answer:
"12.50 × 10⁹" pounds of hamburger. The further explanation is given below.
Explanation:
Sold hamburger
= more than 50 billion
To get pounds of hamburger,
= [tex]50 \ billion\times 0.125 \ lbs[/tex]
= [tex]12.50 \ billion \ pounds[/tex]
= [tex]12.50\times 10^9 \ lb[/tex]
On divide pounds of hamburgers by pounds of burger meat through one head of cattle, we get
⇒ [tex]\frac{12.5 \ billion}{350}[/tex]
⇒ [tex]35714285 \ cattle[/tex]
need physics help! (there’s a picture)
Answer:
i. Subtract v₀² from both of the equation.
ii. Divide both side of the equation by 2
iii. Divide both side of the equation by (x – x₀)
a = (v² – v₀²) / 2(x – x₀)
Explanation:
v² = v₀² + 2a(x – x₀)
To solve for a in the expression above, do the following:
i. Subtract v₀² from both of the equation.
v² – v₀² = v₀² – v₀² + 2a(x – x₀)
v² – v₀² = 2a(x – x₀)
ii. Divide both side of the equation by 2
(v² – v₀²) /2= 2a(x – x₀)/2
(v² – v₀²) /2 = a(x – x₀)
iii. Divide both side of the equation by (x – x₀)
(v² – v₀²) /2 ÷ (x – x₀) = a(x – x₀)/(x – x₀)
(v² – v₀²) /2 × 1/ (x – x₀) = a
a = (v² – v₀²) / 2(x – x₀)
A bowling ball starts from rest and moves 300 m down a long, downwardly angled track in 22.4 sec.a. What is its speed at the end of the track? [27 m/s]b. What is its acceleration? [l.2 m/s2]c. Sketch three graphs: Δx vs. Δt, v vs. Δt and a vs. Δt. We are interested in the initial and final values, and the general shape of the graph, (linear, exponential, etc)
Answer:
The speed at the end of the track = 27 m/s
The acceleration = 1.2 m/s²
Please find the Δx vs Δt, v vs Δt, a vs Δt
Explanation:
We have;
x = u·t + 1/2·a·t²
Where;
x = The distance = 300 m
u = The initial velocity = 0 m/s (Ball at rest)
t = The time taken = 22.4 s
Therefore;
300 = 0 + 1/2×a×22.4²
a = 2×300/22.4² = 1.19579 ≈ 1.2 m/s²
v = u + a×t
∴ v = 0 + 1.2 × 22.4 = 26.88 ≈ 27 m/s
Part of the table of values is as follows;
t, x, v
0, 0, 0
0.4, 0.095663, 0.478316
0.8, 0.382653, 0.956632
1.2, 0.860969, 1.434948
1.6, 1.530611, 1.913264
2, 2.39158, 2.39158
2.4, 3.443875, 2.869896
2.8, 4.687497, 3.348212
3.2, 6.122445, 3.826528
3.6, 7.748719, 4.304844
A exercise ball is on a table 2.5 m above the ground. What is the mass
of the ball if it has a GPE of 56.8 J?
Answer:
2.27kg
Explanation:
The Potential energy gained = Force gravity× Height
Force gravity on the ball is GPE/ height
56.8/2.5=22.72N
the mass = 22.72/10= 2.27kg
The mass of the ball when the gravitational potential energy of 56.8 J present is 2.27 kg.
What is gravitational potential energy?The potential energy is the energy by virtue of its position in the effect of gravity.
Given is an exercise ball is on a table 2.5 m above the ground. It has a gravitational potential energy of 56.8 J.
Potential energy = gravity force × height
P.E =mgh
56.8 J = m x 9.8 x 2.5
m = 2.27kg
Thus, mass of the ball is 2.27 kg.
Learn more about gravitational potential energy.
https://brainly.com/question/3884855
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Solue the Selmultaneous equations:
3y +2x =5 and y-5x = 13
Answer:
x=-2 and y=3
Explanation:
Isolate y and then x to get: y=13+5(-2)
Simplify to get y=3 then plug it back in to get x=-2
We can check, 9+ (-4)=5 hope this helps
How to solve this step by step.
Answer:
a = (v² − v₀²) / (2 (x − x₀))
Explanation:
v² = v₀² + 2a(x − x₀)
Subtract v₀² from both sides.
v² − v₀² = 2a(x − x₀)
Divide both sides by 2 (x − x₀).
(v² − v₀²) / (2 (x − x₀)) = a
differences between fundamental unit and derived unit (any two)
Answer:
Fundamental units are the units of the fundamental physical quantities in SI system. They are not formed from other units. There are a total of seven fundamental units such as meter, kilogram, ampere, and second. Derived units are those units that are used for derived quantities.
Explanation:
Hope it helps
K= 1/2mv^2
K=1/2(210kg)(10.5 m/s)^2
answer:
unit:
Answer:
11577.25 JoulesExplanation:
The expression given in the question which is
[tex]k= \frac{1}{2} mv^2[/tex]
Is the expression for the kinetic energy stored in a system and it is measured in Joules
From the expression we can see that
mass m=210 kg
velocity v= 10.5 m/s
Substituting as seen in the question we have the kinetic energy as
[tex]k= \frac{1}{2}*210*10.5^2\\\\k= \frac{1}{2}*210*110.25\\\\k= \frac{1}{2} *23152.5\\\\k= 11577.25 J[/tex]
hence the energy stored is 11577.25 Joules
Chemical bonds form when (A)atoms share a nucleus. (B)atoms share protons. (C)atoms share neutrons. (D)atoms share electrons.
Answer:
d) atoms share electrons
Explanation:
Atoms with relatively similar electronegativities share electrons between them and are connected by covalent bond. Atoms with large differences in the electronicnegativity transfer electron's to form ions. The ions are then attracted to each other.
Answer:
D.
Explanation:
edge
How does work affect energy between objects so it can cause a change in the form of energy? Work transfers energy. Work changes energy. Work increases energy. Work decreases energy.
Answer:
Work can transfer energy between objects and cause a change in the amount of total energy. Work can transfer energy between objects and cause a change in the form of energy. ... When a spring is compressed, the energy changes from kinetic to potential.
Answer:
I think its either A or B
Explanation:
If I walked3 miles. The reference point used to calculate the to ta l distance that I walked was the same as the ending point. What describes where I most likely walked?
Answer:
Walked on a circular nature trail
Explanation:
We are told that you walked 3 miles.
Now, we are also told that the reference point used to calculate the total distance that you walked was the same as the ending point.
For, one to end up at the same place where he started a journey using the same reference point, it means the journey was not a straight line but a circle because the radius would have to be constant for that to happen.
Thus, it means you walked on a circular nature trail.
Diya visited a tailor shop and bought home three cuttings of fabric A,B and C to study their properties. Diya tried burning the three fibres. Fabric A smelt of burning paper,fabric B smelt of burning hair while fabric C shrunk on burning. Can you help Diya identify fabrics A,B and C
Answer:
Rayon
Wool
Silk Yarn
Explanation:
Rayon
This is Fabric A. Rayon basically burns very quickly even quicker than fabrics like cotton and linen. Its ash is gray in color. The rayon fabric smells of burning paper when it is burnt.
Wool:
This is Fabric B. Wool is basically hard to ignite. It burns slowly. Its ash is dark in color. The wool fabric smells of burning hair when it is burnt.
Silk Yarn:
This is Fabric C. The silk yarn shrinks from the flame when it is burned. It has a grayish black ash. The silk yarn fabric smells burnt meat of when it is burnt.
what quantity of heat will be needed to melt 3kg of ice at -2 degree Celsius to 10 degree Celsius given that S.H.C of water is 4200j/kg.k.Specific latent heat of fusion is 3.36 times 10 raised to the power 5j/k.SLC is 2100j/kg
Answer:
1.15×10⁶ J
Explanation:
Heat needed to bring the ice to 0°C:
q = mCΔT
q = (3 kg) (2100 J/kg/K) (0°C − (-2°C))
q = 12,600 J
Heat needed to melt the ice:
q = mL
q = (3 kg) (3.36×10⁵ J/kg)
q = 1,008,000 J
Heat needed to bring the water to 10°C:
q = mCΔT
q = (3 kg) (4200 J/kg/K) (10°C − 0°C)
q = 126,000 J
The total heat is:
q = 12,600 J + 1,008,000 J + 126,000 J
q = 1,146,600 J
q = 1.15×10⁶ J
For a particular type of motion, the velocity is zero but the speed is a nonzero quantity. Which statement can you make about this motion
Answer:
because speed is the modulus of velocity which is a vector
the velocity to be zero it must be a round trip
Explanation:
This is because speed is the modulus of velocity which is a vector.
For the velocity to be zero it must be a round trip, therefore the resulting vector zero
On the other hand, the speed of the module is the same in both directions
A car with a mass of 1,500 kg is traveling at a speed of 30 m/s. What force must be applied to stop the car in 3 seconds?
Explanation:
F = ma
F = m Δv / Δt
F = (1500 kg) (0 m/s − 30 m/s) / 3 s
F = -15,000 N
Calculate the peak voltage of a generator that rotates its 200-turn, 0.100 m diameter coil at 3600 rpm in a 0.800 T field.
Answer:
The peak voltage is 473.86 V
Explanation:
Given;
number of turns of generator, N = 200 turn
diameter of the coil, d = 0.1 m
radius of the coil, r = 0.05 m
Magnitude of the magnetic field, B = 0.8 T
angular frequency, ω = 3600 rpm
angular frequency, ω (rad/s) = [tex]\frac{2\pi}{60} *3600\ rpm = 377.04 \ rad/s[/tex]
The peak voltage is given by;
E = NBAω
Where;
A is the area of the coil = πr² = π (0.05)² = 7.855 x 10⁻³ m²
E = (200)(0.8)(7.855 x 10⁻³)(377.04)
E = 473.86 V
Therefore, the peak voltage is 473.86 V
A hollow steel shaft is to transmit 4200 n.m of torque and is to be sized so that the torsional stress does not exceed 120 mpa
A hollow steel shaft is to transmit 4200 n.m of torque and is to be sized so that the torsional stress does not exceed 120 Mpa
If the inside diameter is 70 percent of the outside diameter, what size shaft should be used?
Answer:
the preferred outer diameter of the hollow steel shaft obtained a little bit higher than 61.67 mm is 80 mm
the preferred inner diameter of the hollow steel obtained a little bit lower than 56 mm is 50 mm
Explanation:
From above;
let the inside diameter be [tex]d_i[/tex]
let the outside diameter be [tex]d_o[/tex]
Then
[tex]d_i[/tex] = 70% [tex]d_o[/tex]
[tex]\dfrac{d_i}{d_o} = \dfrac{70}{100}[/tex]
[tex]\dfrac{d_i}{d_o} =0.7[/tex] ------ (1)
to determine the outer diameter of the hollow steel shaft by using the equation of the torque, we have:
[tex]T = \dfrac{\pi}{16} \times \tau \times d_o^3 ( 1 - (\dfrac{d_i}{d_o})^4)[/tex]
where;
[tex]\tau[/tex] = torsoinal shear stress = 120 MPa
[tex]4200= \dfrac{\pi}{16} \times 120\times 10^6 \times d_o^3 ( 1 - 0.7)^4)[/tex]
[tex]4200= 0.19635 \times 120\times 10^6 \times d_o^3 (0.7599)[/tex]
[tex]4200=17904763.8 \ d_o^3[/tex]
[tex]d_o^3 = \dfrac{4200}{17904763.8}[/tex]
[tex]d_o^3 = 2.3457 \times 10^{-4}[/tex]
[tex]d_o =\sqrt[3]{2.3457 \times 10^{-4}}[/tex]
[tex]d_o =0.06167 \ m[/tex]
[tex]d_o =0.06167 \ m \times (\dfrac{1000 \ mm}{1 \ m})[/tex]
[tex]d_o =61.67 \ mm[/tex]
From the tables of A-17 of sized and Renard Numbers,
the preferred outer diameter of the hollow steel shaft obtained a little bit higher than 61.67 mm is 80 mm
However, from equation (1)
[tex]\dfrac{d_i}{d_o} =0.7[/tex] ------ (1)
replacing the value of [tex]d_o[/tex]
[tex]\dfrac{d_i}{80} =0.7[/tex]
[tex]d_i = 80 \times 0.7[/tex]
[tex]d_i = 56 \ mm[/tex]
From the tables of A-17 of sized and Renard Numbers,
the preferred inner diameter of the hollow steel obtained a little bit lower than 56 mm is 50 mm
How can physicists use Newton’s laws of motion and universal gravitation to predict objects’ motion?
Answer:
Newtons law of universal gravitation is the phenomena in which Newton said that every particle in environment will attract other particles in the space.
Explanation:
Newton law of motion and gravitation attract forcefully which is direct proportional to the masses of the particles and inversely proportional to the square of the distances between the centers. Other physicist used Newtons law in research related to motion or to find out the distance between earth and sun. Because this law is about the mass of the objects. When the mas of an object is doubled, the force between the objects get too doubled. When the mass of the two objects is doubled the gravitational pull between these two objects gets doubled. Sir Isaac Newton first gave this law when see fall down an apple from tree.
Formula is : F = G Mm/r2 Here G is gravitational pull that is constant.
A toy uses a spring to shoot an arrow with a suction cup on the end. The toy shoots a 34.2 g arrow and gives it a speed of 5.50 m/s. If the efficiency of the toy is 69.0%, how much elastic potential energy was stored in the spring? Show all your work.
Explanation:
When spring is used to shoot an arrow, the Elastic Potential Energy is converted into Kinetic Energy.
The efficiency of Spring Toy = 69%
According to Conservation of Energy :
P. E. = K. E.
NOW,
69% of P. E. = m * v^2 / 2
[tex]P.E. = \frac{0.0342 \times 5.5 \times 5.5}{2 \times 0.69} = 0.75J[/tex]
7) Is it possible to have zero distance but a nonzero displacement?
Yes or No because ...
Answer:
Hey there!
No. Displacement is always less than or equal to the distance.
Let me know if this helps :)
__________ is the school of psychology that believes perception is more than the sum of its parts—it involves a whole pattern. A. Behaviorism B. Structuralism C. Functionalism D. Gestalt psychology Please select the best answer from the choices provided A B C D
Answer:
(D. Gestalt psychology) , is the school of psychology that believes perception is more than the sum of its parts, it involves a whole pattern .
This type of school of psychology studied how all components of sensations are assembled into one's perception .
hope this helps :)
Answer:
Gestalt psychology is the school of psychology that believes perception is more than the sum of its parts—it involves a whole pattern.
Which kinds of objects emit visible light in the electromagnetic spectrum?
answer :
Visible: Our eyes detect visible light. Fireflies, light bulbs, and stars all emit visible light. Ultraviolet: Ultraviolet radiation is emitted by the Sun and are the reason skin tans and burns. "Hot" objects in space emit UV radiation as well.
Which objects emit electromagnetic waves?
All objects emit electromagnetic radiation according to their temperature. Colder objects emit waves with very low frequency (such as radio or microwaves), while hot objects emit visible light or even ultraviolet and higher frequencies.
Convert 0.0351 kg to mg. (1,000,000 mg = 1 kg)
Answer:
The required answer is 35100
Answer:
35100mg
Explanation: When converting bigger to smaller units, we move the decimal point to the right side. As there are 6 zeroes, The decimal point will move six places to the right. Therefore answer id 35100mg
Light of wavelength 500 nm illuminates a round 0.50-mm-diameter hole. A screen is placed 6.0 m past the slit. What is the width of the central bright circle on the screen
Answer:
14.64*10^-3 m
Explanation:
given that
Length of the wavelength, λ = 500*10^-9 m
Diameter of the hole, D = 0.5 mm
length of the slit, L = 6 m
W = 2.44 λL / D, where
W = width of the screen in m
λ = wavelength of the light in nm
L = length of the slit in m
D = diameter of the hole in m
on substituting the values, we have
W = (2.44 * 500*10^-9 * 6) / 0.5*10^-3
W = 7.32*10^-6 / 0.5*10^-3
W = 0.01464 mm
or also, 14.64*10^-3 m
How fast is a skateboarder traveling if she travels 2 miles in 4 hours?
This question is asking for the speed of the skateboarder. speed= distance/time. In this question we will do 2/4 in order to get a speed of 0.5 mph.
George walks to a friend's house. He walks 850 meters north before he realizes he walked too far.
He turns around and walks 250 meters south. The entire walk takes 25 seconds. What is George's
velocity in m/s?
Answer:
44 m/sExplanation:
In this problem we are expected to calculate the velocity of Georges movements.
Given data
Total distance covered by George= 850+250= 1100 meters
Time taken by George to cover the total distance= 25 seconds
We know that velocity is, v= distance/ time
Therefore substituting our data into the expression for velocity we have
v= 1100/ 25= 44 m/s
Hence the velocity in m/s is 44
The velocity of George is 44 m/s.
Calculation of the velocity:Since
Total distance covered by George= 850+250= 1100 meters
Time is taken by George to cover the total distance= 25 seconds
We know that
velocity is, v= distance/ time
So,
v= 1100/ 25
= 44 m/s
Hence the velocity in m/s is 44.
Learn more about velocity here: https://brainly.com/question/13568037
Consider three widely separated galaxies in an expanding universe (look at picture below). Imagine that you are located in galaxy 1 and observe that both galaxies 2 and 3 are moving away from you. If you asked an observer in galaxy 3 to describe how galaxy 2 appears to move, what would he or she say?
Answer:
hi... I won't be able to give you a detailed explanation but here's as far as i know:
If you ask someone in galaxy 3 how galaxy 2 appears to move, they'd say that it seems to move away from them too.
Explanation:
Our universe is constantly expanding, right? But there is no central point in the whole expansion thing. A common example used to describe this is a balloon being blown up. Imagine there are little dots on the balloon. When the balloon is blow up, the dots seem to move away from each other but there isn't any one that stays where it is. So that's kind of like the universe.
Galaxy 3 will see galaxy 2 move away from it too.
I don't know a lot about this so please correct me if I'm wrong but... hope this helps.
If there is no dropped ceiling, or if the drop is not as much as the height of the recessed luminaires, you will find that the center-to-center spacing of recessed luminaires will have to be in increments of ____________________ ft.
Answer:
The answer is "4".
Explanation:
The luminaire would be recessed inside a wall, so that, dependent on the surface mountings, its top-level is flush with the ceiling. It is the hanging under the primary structural, in which the drop was an area of the above falling ceiling, that referred to its full space, because it will be generally used for the HVAC air return and the total space is also used to obfuscate piping, cabling, and ducts, that's why the middle-to-middle spacing of curved lighting systems would have to be in incremental increases of 4 ft.
What should you do if...
3. You are in doubt about any procedure?
4. Your clothes catch on fire?
5. You broke a glass?
6. Chemical splashes in your eyes?
7. To prevent chemical splashes into an eye or a foreign object gets stuck in one?
8. You injure yourself or lab partner?
9. You use hot plate in the experiment?
Answer:
3. you need to ask your available lab instructors what to do.
4. You immediately have to drop down your cloth and roll it to extinguish the fire or move to the emergency shower if available
5. You have too keep calm and report to the lab instructor but do no shout.
6. Move immediately to the eye rinse basin if available and wash your eyes gently and thoroughly
if 1,000 J of energy is added to a steak engine, and 400 J of work is done by the engine, how much thermal energy ends up being added to the engine
Answer:
To indicate that energy has been added or removed as heat or work to a system, the internal energy of the system is calculated.
This is because:
1- the internal energy follows the formula:
ΔU = Q - W
2- the internal energy is indicated by any alternation in temperature
Therefore, the answer is:
internal energy