Answer:
Most alpha particles went right through. This showed that the gold atoms were mostly empty space
8.54 Three identical balls of mass m are placed in the con-
figuration shown in the
figure. Find the location
(0, a)
of the center of mass.
50
(0,0)
(a,0)
The center of mass is the point located in an average position concerning the objects' positions and their masses. (a/3;a/3) is the location of the COM.
What si the center of mass?
The center of masses of a given system of particles or objects is the position under which all external forces are acting. Any uniform force acts on this point.
This position is the average position of all the components of the system concerning their masses. It can be placed in one, two or three dimensions according to the system.
Coordinate X of the center of masses is given by the following formula,
Xcom = Σ(Ximi) / Σmi
This is the adition (Σ) of each particle position on the X-axis (Xi) multiplied by their mass (mi), and the result divided by the summation of all masses -total mass-.
In the same way, coordinate Y of the center of masses is given by the following formula,
Ycom = Σ(Yimi) / Σmi
This is the adition (Σ) of each particle position on the Y-axis (Yi) multiplied by their mass (mi), and the result is divided by the summation of all masses.
The center of masses is located in the position (X, Y).
According to this framework, we can get the coordinates of the center of masses for this bidimensional system. Coordinates can be expressed in meters or centimeters (m or cm).
Data:
Particle ⇒ (X;Y)
Ball 1 ⇒ (0;a)Ball 2 ⇒ (0;0)Ball 3 ⇒ (a;0)Coordinate X ⇒ Xcom = Σ(Ximi) / Σmi
Xcom = (0m) + (0m) +(am) / m +m +m
Xcom = am / 3m
Xcom = a/3
Coordinate Y ⇒ Ycom = Σ(Yimi) / Σmi
Ycom = (am) + (0m) +(0m) / m +m +m
Ycom = am / 3m
Ycom = a/3
Coordinates of the center of masses, (X;Y) = (a/3 ; a/3)
(a/3 ; a/3) is the location of the center of mass in the proposed bidimensional system.
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What do these two changes have in common?
a piece of avocado turning brown
a dinosaur bone turning into rock over millions of years
Select all that apply.
Both are only physical changes.
Both are chemical changes.
Both are caused by heating.
Both are caused by cooling.
Submit
a piece of avocado turning brown a dinosaur bone turning into rocks over millions years physical or chemical
Answer:
they have nothing in common, the avocado turning brown is a chemical change while, the dinosaur bone turning into rocks over millions of years is a physical change.
The mass of a body is 25 kg and the value of acceleration due to gravity is 9.8 m/s2. Calculate the weight of body
Explanation:
[tex]w = mg \\ w = 25kg \times 9.8 \frac{m}{s} ^{2} \\ w = 245\\ [/tex]
Suppose the collision between the packages is perfectly elastic. To what height does the package of mass m rebound?
The height, h to which the package of mass m bounces to depends on its initial velocity, v and the acceleration due to gravity, g and is given below:
[tex]h = \frac{v^{2}}{2g}[/tex]
What are perfectly elastic collision?Perfectly elastic collisions are collisions in which the momentum as well as the energy of the colliding bodies is conserved.
In perfectly elastic collisions, the sum of momentum before collision is equal to the momentum after collision.
Also, the sum of kinetic energy before collision is equal to the sum of kinetic energy after collision.
Since some of the Kinetic energy is converted to potential energy of the body;
[tex]\frac{mv^{2}}{2} = mgh[/tex]
[tex]h = \frac{v^{2}}{2g}[/tex]
Therefore, the height to which the package m bounces to depends on its initial velocity and the acceleration due to gravity.
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A second-grade teacher dropped a box of paper clips and they scattered all over the floor. She then asked her students, "Why will a magnet be a useful tool to pick the paper clips?"
The magnet will be a useful tool to pick the paper clips because the magnet can attract the paper clips.
Attraction of magnetsThe like poles of magnets repel while unlike poles of magnets attracts. Magnets attracts irons or metallic materials.
The paper clips are mettalic or made of iron and hence the magnet will attract them.
There we can conclude that the magnet will be a useful tool to pick the paper clips because the magnet can attract the paper clips and will help to gather them together for easy picking.
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What’s the difference between jumping with ur leg straight and ur leg bend
how many levels does the philippine physical activity pyramid have?
How does your Liver work with your Bladder in your body?
Answer:
The liver filters the blood of toxins before it continues through the body. It also removes excess sugar from the arteries. Your kidney then further filters the blood for water-soluble waste and toxins to be excreted and finally, your bladder gets read of that water-soluble waste.
Can anyone help me?
Answer:
option d is your answer
Explanation:
you can find the complete solution in the given attachment
I hope it helped you
True or False [2 pts]: As the distance d between a planet and a moon is increased, the strength of tidal forces decreases linearly (i.e., the strength of tides scales as 1/d).
It is true that as the distance d between a planet and a moon is increased, the strength of tidal forces decreases linearly (i.e., the strength of tides scales as 1.
What is Tidal force?.Tidal force is the gravitational force that a body on a linear motion experiences which pull the body towards the center of the mass of another varying body because of the gravitational pull of that body at a distance.
Therefore, It is true that as the distance d between a planet and a moon is increased, the strength of tidal forces decreases linearly (i.e., the strength of tides scales as 1.
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PLEASE I NEEDHELP !!!!!!!!!!
In the diagram, q1 and q2 are both
+5.00*10^-8 C. What is the electric field
at point P? Include a + or - sign to
indicate the direction.
91
P
92
0.636 m
+ 0.424 m-**
(Remember, E points away from + charges,
and toward - charges.)
(Unit = N/C)
Answer:
1389.1
For Acellus
Explanation:
The electric field equals the force exerted by the unit positive charge. The electric field at point P is 3.615×10⁶ N/C. Its unit is N/C.
What is an electric field?
When a charged particle is got influenced by another charged particle when bring near to it, a field is created by an electric charge. This field is called the electric field.
The electric field is obtained by taking the ratio between Force and unit positive charge. Force in a charge is because of attraction and repulsion. The SI unit of force is Newton (N).
The unit positive charge is the test charge used to analyze the other charges present in the field. The SI unit of charge is Coloumb (C). The charge is responsible for the creation of an electric field.
From the givens,
The charge q₁ = q₂ = 5×10⁻⁸ C,
The distance of charges from point P, r₁ = 0.424 m; r₂ = 0.636 m.
The net electric field E = E₁ + E₂
Electric field E = F / q
E₁ = kq₁ / r₁² (k = 9×10⁹ Nm²/C²)
= 9×10⁹× 5×10⁻⁸ / (0.424)²
E₁ = 2.503×10³ N/C.
E₂ = kq₂ / r₂²
= 9×10⁹× 5×10⁻⁸ / (0.636)²
E₂ = 1.112×10³ N/C
E = E₁ + E₂
=2.503×10³ + 1.112×10³
= 3.615×10³ N/C
Hence, the net electric field is 3.615×10³ N/C.
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The radium isotope 223Ra, an alpha emitter, has a half-life of 11. 43 days. You happen to have a 1. 0 g cube of 223Ra, so you decide to use it to boil water for tea. You fill a well-insulated container with 460 mL of water at 16∘ and drop in the cube of radium
The time taken for the water to boil at the given rate of the alpha decay is 0.08 s.
Number of radium atom
The number of radium atom in 1.0 g is calculated as follows;
[tex]N = N_A(\frac{m}{M} )\\\\N = (6.02 \times 10^{23})(\frac{1}{223} )\\\\N = 2.7 \times 10^{21} \ atoms[/tex]
Decay constant of the radium[tex]\lambda = \frac{ln2}{t_{1/2}} \\\\\lambda = \frac{ln 2}{(11.43 \times 86400)} \\\\\lambda = 7.02 \times 10^{-7} \ s^{-1}[/tex]
Rate of the alpha decayR = λN
R = (7.02 x 10⁻⁷) x (2.7 x 10²¹)
R = 1.895 x 10¹⁵ atoms/s
Change in the mass of the RadiumΔm = m(Ra₂₂₃) - [m(Rn₂₁₉) + m(α)]
Δm = 223.018u - (219.008u + 4.0026u)
Δm = 0.0074u
Energy released in the alpha decay[tex]E =\Delta mc^2\\\\E = 0.0074u \times c^2\\\\E = 0.0074 \times931.5\ MeV/c^2 \times c^2\\\\E = 6.893 \ MeV\\\\E = 6.893 \times 10^6 \times 1.6\times 10^{-19} \\\\E= 1.103 \times 10^{-12} \ J[/tex]
Rate at which energy is releasedP = E/t = ER
P = (1.103 x 10⁻¹²)(1.895 x 10¹⁵)
P = 2,089.99 J/s
Mass of the boiled watermass = density x volume
mass = (1 g/L) x (0.46 L)
mass = 0.46 g
Heat absorbed by the waterQ = mcΔT
Q = 0.46 x 4.184 x (100 - 16)
Q = 161.67 J
Time taken for the water to boilPt = Q
t = Q/P
[tex]t = \frac{161.67}{2,089.99} \\\\t = 0.08 \ s[/tex]
Thus, the time taken for the water to boil at the given rate of the alpha decay is 0.08 s.
The complete question is below:
How long will it take the water to boil?
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A car is traveling at a speed of 9.88 m/s. It travels for 9.71 seconds. what distance did the car travel
Answer:
it should be 21,3 kilometer
How is thermal energy transferred during conduction? check all that apply.
Answer:
Conduction is the process by which heat energy is transmitted through collisions between neighboring atoms or molecules
Explanation:
Read the length of the metal bar with the correct number of significant figures. 15.000 cm 20 cm 15.0 cm 15 cm 15.00 cm
The correct number from the options to describe the length of this metal bar is 15 cm or fifteen centimeters.
What are the units used to measure length?The most common units to measure length include:
CentimeterMeterKilometerMilesHow much does this bar measure?The unit that should be used is centimeters, considering a rule usually contains centimeters, and this is the unit provided in the image.
Moreover, based on the rule it can be determined the length is 15 centimeters. Other numbers such as 15.0 or 15.000 are innaccurate as there is not need to add more figures in this case.
Note: This question is incomplete because the image is missing. Here is the image
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What is meant by a zero error in an ammeter?
Answer:
When the circuit is not connected, the pointer of the ammeter or voltmeter is exactly at zero, thus said to be the instrument has zero error. If the pointer is above the zero mark, the zero error is negative.
In an experiment for measuring the speed of sound gun was shot 715 m away from the observer. It was heard 2. 13 seconds after the flash was seen. What was the speed of sound in air at that time?
The speed of the sound wave after the flash was seen, in the experiment for measuring the speed of sound gun is 110 m/s.
Speed of the sound waveThe speed of the sound wave can be determined by applying the principle of echoe as shown below;
v = 2d/t
where;
d is the distance of the sound wavet is time of motionv = (2 x 715) / (13)
v = 110 m/s
Thus, the speed of the sound wave after the flash was seen, in the experiment for measuring the speed of sound gun is 110 m/s.
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The process of going from having work done by muscle to being done by machines is: ________-
Answer:
Mechanization perhaps
Explanation:
A wave has a frequency of 20.0 Hz and a velocity of 5.0 m/s. What is its wavelength?
Answer:
0.25 m
Explanation:
λ = v/f
I hope it helped you
Seeds are often found on which part of a gymnosperm?
branch
leaf
cone
stem
A driver needs to make a delivery to an office that is 30 km away. The driver has traveled for 45 minutes west down a straight road at 50 km/h. a. Has the driver traveled far enough to reach the office? Support your response.
Answer:
Yes, the driver has traveled far enough to reach the office.
Explanation:
Starting at 50 km/h you can break the 50 into 4 sections (50/4 or 1/4 of 50) and that will get you 12.5
45 minutes are 3/4 of an hour which is 50 km/h.
12.5*3=37.5 km (37.5>30)
The first spacecraft to make detailed maps of the galilean satellites of jupiter was/were.
Answer:
Voyager 1 and 2
Explanation:
This man is jumping through the air what are forces use
Answer:
Thrust / Lift / Gravity
Explanation:
He must create enough force of thrust to jump for a short time and gravity pulls him back down almost immediately.
Answer:
gravity and resistance, the man is moving so the force is unbalanced
Explanation:
An explosion is done on moon what effect will be its on earth
A. We can hear
B. We can see
C. We can hear and see
D. None
Answer:
d. none is the answer we can't hear and see
How do you know where the centre of curvature(c) and the focal point(f) is on the principle axis
Answer:
C is radius of sphere
Explanation:
F is C/2
how do you find spring constant from a weight (n) vs displacement (m) graph?
Answer:
Explanation:
The slope of the graph is the spring constant n/m
Which reduces friction, to roll or to slide?
A symptom of schizophrenia could be having unusual beliefs that have no factual basis. please select the best answer from the choices provided t f
A symptom of schizophrenia could be having unusual beliefs that have no factual basis. The given statement is true.
What is the definition of schizophrenia?
Schizophrenia is a serious mental illness that impairs a person's ability to think. It mostly affects persons between the ages of 16 and 35. A mental health practitioner can diagnose the onset of schizophrenia.
Schizophrenia symptoms include:
1. Delusions are irrational ideas or perceptions that have no basis in reality.
2. Disorientation is a symptom of an inability to perform normally. When a person has hallucinations, he or she sees or hears things that are not real.
So, having strange views with no factual foundation might be an indication of schizophrenia, which is TRUE.
Hence the given statement is true.
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Answer:
true
Explanation:
got 100 on Edge
What is the amount of work needed to lift a book weighing 20.0n a distance of 2.0m
Answer:
w = 40 Joules
Explanation:
Formula to get work:
W = F × S
where:
w = work/Joules
F = force/newtons
s = displacement/meters
substitute:
w = 20 × 2
w = 40J
what must be the acceleration of a box that is pushed with 86N of force and experiences 29N of friction? The mass of the box is 5kg
F_net:-
86N-29N57NNow
Apply Newton's second law
F=ma57=5aa=57/5a=11.4m/s²