Find the center of mass of the following particles (drawn large so they can be seen)
It is possible to suspend an object at rest from its center of gravity, and gravity won't induce it to begin rotating no matter how it is positioned.
Thus, The center of gravity of an object will be located somewhere along a vertical line that passes through the point of suspension if you suspend it from any point and allow it to come to rest.
The gravitational acceleration is (almost) constant near the surface of the earth, where the center of mass also lies.
A place that represents the average or typical location of an object's mass, as if all of the mass were contained there, is known as the center of mass (CM). The geometric center of a uniform sphere serves as its center of mass. The barycenter is another name for the CM.
Thus, It is possible to suspend an object at rest from its center of gravity, and gravity won't induce it to begin rotating no matter how it is positioned.
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Help me out I need work shown
The gravitational force acting between the objects is 6.67 x 10⁻⁹N.
If the mass of one of the objects is doubled, the gravitational force also doubles.
The new gravitational force is 32 N.
1) Mass of the objects, m = 100 kg
Distance between the masses, r = 10 m
Gravitational force acting between the objects,
F = Gm²/r²
F = 6.67 x 10⁻¹¹ x 100²/10²
F = 6.67 x 10⁻⁹N
2) If mass of one of the objects is doubled, the gravitational force between the objects,
F = Gm x 2m/r²
F = 6.67 x 10⁻¹¹ x 100 x 200/10²
F = 13.34 x 10⁻⁹N
So, if the mass of one of the objects is doubled, the gravitational force also doubles.
3) According to the equation for the gravitational force between the objects, it is clear that the gravitational force is directly proportional to the product of their masses.
F ∝ m₁m₂
4) The gravitational force becomes double of the original force.
So, F' = 2 x 16
F' = 32 N
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Similarities between extrusive igneous rocks and intrusive igneous rocks
Answer:
Well this would be science... not physics...
Explanation:
1) both are a product of cooling lava/magma
2) Both stones can be caused during volcanic eruptions or clastic flow
3) Both are igneous in family (duh)
4) Intrusive rocks are formed underground from seeping into crevasses and are slow cooling and extrusive rocks are fast or instant cooling and cool above the surface (if differences are needed)
Your friend says he can find 4. 44÷0. 64 by dividing both the divisor and dividend by 0. 01 to make an equivalent problem with a whole number division is he correct explain
Yes, your friend is correct. Dividing both the divisor and dividend by the same value will result in an equivalent problem with a whole number division.
In this case, dividing both 4.44 (dividend) and 0.64 (divisor) by 0.01 will give us:
4.44 ÷ 0.64 = (4.44 ÷ 0.01) ÷ (0.64 ÷ 0.01) = 444 ÷ 64
By dividing both the dividend and divisor by 0.01, we essentially multiply them by 100, since dividing by 0.01 is the same as multiplying by 100.
Now we have a division problem with whole numbers: 444 ÷ 64. This can be solved using traditional long division to find the quotient, which in this case would be a whole number.
So, your friend is correct in saying that dividing both the divisor and dividend by 0.01 will result in an equivalent problem with a whole number division.
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Beko and Dila race to the top of the stairs. Compare Beko and Dila's power. 60 kg He takes 12 seconds Dila Beko 50 kg (9) He takes 10 seconds 20 m
The ratio of power of Beko and Dila are in the ratio of 1:1. The power of both of them are equal.
What is Power?Power is the amount of energy which is transferred or converted per unit time. The SI unit of power is the watt (W), which is equal to one joule per second. In older works, power is sometimes also called as activity.
P ∝ m/t
P₁ = 60/ 12
P₂ = 50/ 10
P₁/ P₂ = 5/ 5
The ratio of the powers of Beko and Dila is 1. This mean that the power of both of these people are equal.
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I tried to solve this, not sure what I did wrong, nor what the question is actually asking for
In cartesian coordinates, we can write the position vectors as-
a) → r = 12.4 m , θ = 170° ↔ - 12.21 i + 2.15 j
b) → r = 4 cm , θ = 50° ↔ 2.57 i + 3.06 j
c) → r = 20 inches , θ = 210° ↔ - 17.32 i - 10 j
What are polar coordinates?It is two-dimensional coordinate system which uses a straight line distance (from a reference point) and the angle made by it (with respect to reference direction) to represent a point in the X-Y plane.
Given are the position vectors in polar coordinates of three points in X-Y coordinate system.
The transformation from polar coordinates (r, θ) into cartesian coordinates (x, y) is done using the following formulae -
x = r cosθ
y = r sinθ
a) → r = 12.4 m , θ = 170°
x = 12.4 x cos (170°) = 12.4 x -0.98480775301 = -12 .21
y = 12.4 x sin (170°) = 12.4 x 0.17364817766 = 2.15
In cartesian form → ( -12.21 i + 2.15 j )
b) → r = 4 cm , θ = 50°
x = 4 x cos (50°) = 4 x 0.64278760968 = 2.57
y = 4 x sin (170°) = 4 x 0.76604444311 = 3.06
In cartesian form → ( 2.57 i + 3.06 j )
c) → r = 20 inches , θ = 210°
x = 20 x cos (210°) = 20 x -0.86602540378 = -17.32
y = 20 x sin (210°) = 20 x -0.5= -10
In cartesian form → ( -17.32 i - 10 j )
Therefore, in cartesian coordinates, we can write the position vectors as -
a) → r = 12.4 m , θ = 170° ↔ - 12.21 i + 2.15 j
b) → r = 4 cm , θ = 50° ↔ 2.57 i + 3.06 j
c) → r = 20 inches , θ = 210° ↔ - 17.32 i - 10 j
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If the orbit of the moon can be modeled using the equation x^2/63,500 y^2/59000 = 1, what is the closest that the moon travels to the center of its orbit? (note: the denominators of the fractions are in thousands of miles squared)
238,900 miles is the closest that the moon travels to the center of its orbit. Perigee and apogee are the names of the points on the Moon's orbit that are closest to and farthest from Earth, respectively.
How does the Moon travel?It makes one complete orbit around our planet, or 27.322 days, in an elliptical orbit. As a result of being tidally locked with Earth, the Moon revolves around our planet once every single time it completes an orbit. As a result, only one side of the Moon is ever visible to humans on Earth.As a result of being tidally locked with Earth, the Moon revolves around our planet once every single time it completes an orbit. As a result, only one side of the Moon is ever visible to humans on Earth. This motion is referred to as synchronous rotation.In comparison to the plane of Earth's orbit around the Sun, the Moon's orbit is tilted by around 5 degrees. This tilt causes the Moon to typically pass above or below the Sun when it is between Earth and the Sun as seen from Earth.So, to solve for y, we need to solve for y using the equation T2 y. y = 50,900 y = 6,350,000
So, the closest that the moon travels to the earth is 238,900 miles.
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The point around which a lever rotates and that supports the lever and the load is called the ________.
The point that supports both the load and the effort is the fulcrum.
What is a lever?A lever is a simple machine that is composed of three parts, the parts of the lever are as follows;
LoadEffort FulcrumThe point that supports both the load and the effort is the fulcrum and it is the point around which a lever rotates and that supports the lever and the load.
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You did 100 j of work to move a 10 n object. How far did you move the object
\(w = fdcos( \alpha )\)
where w is the work done.where f is the force in newton.where d is the displacement.and a is the angle between the force and the displacement.\(w = fdcos(0)\)
\(100 = 10d \times 1\)
\( \frac{10d}{10} = \frac{100}{10} \)
\(displacement = 10 \: meters\)
A motorcycle traveling at 25 m/s accelerates at a rate of 7.0 m/s2 for 6.0 seconds. What is the final speed of the motorcycle?
The final speed of the motorcycle is 67m/s
The first equation of motion deals with final velocity or speed, initial velocity (velocity of the object before the effect of acceleration), acceleration (the rate of change of velocity with respect to time) and time. To find out the final speed or velocity of the motorcycle we will use the first equation of motion v = u + at , where
v = final velocity
u = initial velocity
a = acceleration
t = time, put the given values in the equation,
v = 25 + 7.0(6.0)
v = 25 + 42
v = 67 m/s
Thus the final speed of the motorcycle is 67m/s.
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Question 4 (point)
What is the charge of the nucleus for the atom below?
O a
varies
Positive
Oc
Od
Neutral
Negative
Answer:
Positive
Explanation:
Tbh I dont have an explanation I just wanted to give the answer but its for sure correct!
please help me asap !!!!!!
2. An elevator ascends with an upward acceleration of a. At the instant its upward speed is v, a loose bolt drops from the ceiling of the elevator distance d from the floor. Calculate: a. the time of flight of the bolt from ceiling to floor. b. the distance it has fallen relative to the elevator shaft.
the elevator `d` meters above the ground. In order to calculate the time of flight of the bolt from ceiling to floor, andthe distance the bolt has fallen relative to the elevator shaft Let's figure out how long it takes for the bolt to fall from the ceiling to the floor.
To do so, we'll need to figure out how far the bolt falls. In other words, we need to figure out how high above the floor the bolt was when it fell. bolt is `d` meters above the ground when it falls. The elevator is rising at an acceleration of `a` meters per second per second. The time it takes for the bolt to hit the ground is given by `t`. Using the formula for distance covered in time `t` for an accelerating object: `d = 0.5at^2 + vt + d`, we can solve for `t`. The initial velocity is `v = 0` since the bolt is dropped, so the equation becomes: `d = 0.5at^2 + d`. Rearranging, we get: `t = sqrt(2d/a)`.Therefore, the time of flight of the bolt from ceiling to floor is `t = sqrt(2d/a)`.Now we need to find out how far the bolt has fallen relative to the elevator shaft. Since the bolt is falling, it is accelerating at a rate of `g = 9.8` meters per second per second, downwards.
The elevator is rising at an acceleration of `a` meters per second per second, upwards.Let `y` be the distance that the elevator has risen in time `t`. Using the formula for distance covered in time `t` for an accelerating object, we can write the equation `y = vt + 0.5at^2`. The initial velocity is `v`, and the acceleration is `a`, so `y = vt + 0.5at^2`.The distance that the bolt has fallen relative to the elevator shaft is equal to the distance it would have fallen if the elevator had not been moving. In other words, if the elevator were stationary, the bolt would have fallen straight down, a distance of `0.5gt^2`.Therefore, the distance the bolt has fallen relative to the elevator shaft is: `0.5gt^2 - y`.Simplify `0.5gt^2 - y` by substituting the value of `y` in terms of `t`. Therefore, `0.5gt^2 - y = 0.5gt^2 - (vt + 0.5at^2) = 0.5g t^2 - vt - 0.5at^2`.So, the distance that the bolt has fallen relative to the elevator shaft is `0.5g t^2 - vt - 0.5at^2`.Explanation:From the above answer, we can conclude that:Time of flight of the bolt from ceiling to floor is `t = sqrt(2d/a)`Distance the bolt has fallen relative to the elevator shaft is `0.5g t^2 - vt - 0.5at^2`.
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Spring tides occurs at two of the time shown which two? how do u know ?
Spring tides are extremely wide ranges of tidal highs and lows that occur during full moon or new moon phases when the gravitational forces of the Sun and Moon are at their strongest.
Neap tides are characterized by lower high tides and higher low tides, while spring tides feature higher high tides and lower low tides. Because of this, a spring tide has a significantly wider range than a low tide (the difference in water level between high and low tide).Spring tides are the tides that occur right after a new or full moon when the difference between high and low water is the biggest. The earth, moon, and sun are in a straight line at this time, causing the gravitational pull to be at its strongest. There are more high tides than usual and fewer low tides than usual.To know more about spring tides
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3 resitor is connected in series to a 6 resior and a 12-v battery.what is the current in each of the resistors ? what is the voltage drop across each resitor?
The current in each resistor is 4 A, 2 A, and 4 A, respectively. The voltage drop across each resistor is 12 V.
When three resistors are connected in series with a six resistor and a 12-volt battery, the total resistance of the series circuit is R = R1 + R2 + R3 + ...
The current flowing through the circuit is the same at every point. So, if we want to know the current flowing through each resistor, we need to use Ohm's law, I = V/R, where V is the voltage of the battery and R is the resistance of each resistor.
I1 = V/R1 = 12/3 = 4 AI2 = V/R2 = 12/6 = 2 AI3 = V/R3 = 12/3 = 4 A. The voltage drop across each resistor can be calculated using Ohm's law, V = IR.
V1 = I1R1 = 4 x 3 = 12 VV2 = I2R2 = 2 x 6 = 12 VV3 = I3R3 = 4 x 3 = 12 V.
Therefore, the current in each resistor is 4 A, 2 A, and 4 A, respectively. The voltage drop across each resistor is 12 V.
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At what point of a projectile motion, acceleration and velocity are perpendicular to each other?
Answer:
At the topmost point where the velocity has only horizontal component whereas the acceleration is vertical.
Explanation:
There is only a horizontal component of velocity at the ap3x of the projectile, and acceleration is vertically downwards owing to gravitation, therefore velocity and acceleration are perpendicular to one another.
each resistor has a resistance of . what is the equivalent resistance of the resistive network shown?
The equivalent resistance of the resistive network is 6 ohms.
What is resistance ?Resistance is the opposition to the flow of electric current, or the opposition to a change. It is caused by the collisions of electrons with the atoms in a material. Resistance is measured in Ohms and is represented by the Greek letter omega (Ω). Resistance is an important concept in electrical engineering and is used to calculate power, current, and voltage in electrical circuits. Resistance can be found in both conductors and insulators, and the resistance of a material depends on its composition, shape, and temperature. Resistance can be used to control the flow of current, protect circuits from damage, and convert electrical energy into heat. Resistance is an essential factor in determining the performance of electrical circuits.
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Answer these please.
Explanation:
hope this helps you
..........
The exponential distribution is a special case of the gamma distribution.
a. true
b. false
The exponential distribution is a particular instance of the gamma distribution, when alpha is equal to zero is False.
What exactly does gamma distribution mean?The continuous probability distribution known as the gamma distribution is frequently employed in many scientific disciplines to model continuous variables with skewed distributions that are always positive. It happens spontaneously in processes where the intervals between occurrences are significant.
When ought the gamma distribution to be applied?Due to the fact that the exponential distribution is a particular instance of the gamma distribution, we may utilize the gamma distribution for every application that uses the exponential distribution, including queuing theory, reliability (failure) modeling, and wait time modeling (just plug 1 into k).
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the question you are looking for is
The exponential distribution is a special case of gamma distribution when alpha is equal to zero
true
false
If we increase the driving frequency in a circuit with a purely capacitive load, do (a) amplitude Vc and (b) amplitude I increase, decrease, or remain the same? If, instead, the circuit has a purely inductive load, do (c) amplitude V, and (d) amplitude 1, increase, decrease, or remain the same?
The amplitude of the current (I), however, will decrease, as the higher frequency results in a larger inductive reactance, leading to a decrease in current.
In a circuit with a purely capacitive load, if the driving frequency is increased, the amplitude of the voltage across the capacitor (Vc) will decrease.
This is because as the frequency increases, the capacitor has less time to charge and discharge, leading to a decrease in the voltage across it. The amplitude of the current (I) will increase, however, as the higher frequency results in a smaller capacitive reactance, leading to an increase in current.
In a circuit with a purely inductive load, if the driving frequency is increased, the amplitude of the voltage across the inductor (V) will increase.
This is because as the frequency increases, the inductive reactance increases, leading to an increase in voltage. The amplitude of the current (I), however, will decrease, as the higher frequency results in a larger inductive reactance, leading to a decrease in current.
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Which circuit would have the most electrical power?
OA. A. 1 = 2.0 A = V = 0.17 V
B. 1 = 1.2 A V = 0.14 V
the answer is c because it has the most volts
a
Which element is represented by the atomic model below
A. Calcium
B. Neon
C. Oxygen
D. Helium
Answer:
b
Explanation:
because f its electronic configuration 2:8 indicating that it has 8 electrons in its outer most energy level
"A car is travelling at 70 m/s. The driver sees a cow in the road and slows down with a constant acceleration for 10 seconds before coming to a stop. What is the car’s displacement by the time is stops." what information do you know?
The question does not ask for anything in particular. I will calculate the acceleration and distance.
Answer:
The acceleration of the car is \(-7\ m/s^2\)
The distance traveled before stopping is 350 m
Explanation:
Constant Acceleration Motion
It's a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.
Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:
\(v_f=v_o+at\qquad [1]\)
The distance traveled by the object is given by:
\(\displaystyle x=v_o.t+\frac{a.t^2}{2}\qquad [2]\)
The car has an initial speed of v0=70 m/s when the driver sees a cow in the road and steps on the brakes with an (assumed) constant acceleration during t=10 seconds before stopping (vf=0).
With the information provided, we can calculate the value of the acceleration and the distance traveled.
Using the equation [1] we can solve for a:
\(\displaystyle a=\frac{v_f-v_o}{t}\)
Substituting the numerical values:
\(\displaystyle a=\frac{0-70}{10}=-7\ m/s^2\)
The acceleration of the car is \(-7\ m/s^2\)
The distance is now calculated by using [2]
\(\displaystyle x=70\cdot 10+\frac{(-7)\cdot 10^2}{2}\)
\(\displaystyle x=700-\frac{700}{2}=350\ m\)
The distance traveled before stopping is 350 m
An object with a mass of 10kg accelerates 16 m/s2 when an unknown force is
applied to it. What is the amount of force?
160 N
9.8 m/s2
165.8 kg
1.6 N
Answer:
The answer is 160 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 10 × 16
We have the final answer as
160 NHope this helps you
What are 3 main ways to improve the Cardiovascular system???
Worth 100 points
Question 1 of 10
Which situation is most likely to lead to improving a scientific theory?
O A. Development of new technologies
B. Relaxing government restrictions
C. Repeating an experiment to verify results
D. Increased funding for research
Answer:
The correct option is;
C. Repeating an experiment to verify results
Explanation:
A scientific theory is a statement explaining an observed natural phenomenon which can be simulated for verification ensuring that all protocols of the scientific method of investigation are observed.
By repeating the experiment under particular conditions such as through verification of data from direct observation such as in astronomy, a scientific theory can be improved by pointing out the natural behavior of the phenomenon to better clarify the assumptions made in the theory.
Answer:
Developing new technologies.
Explanation:
a force of 365N is used to move an 80kg person. what is the acceleration
Answer:
See below
Explanation:
F=ma
F/m = a = 365/80 =4.56 m/s^2
a movie camera with a (single) lens of focal length 75 mm takes a picture of a person standing 27 m away. if the person is 180 cm tall, what is the height of the image on the film?
Using the thin lens formula, the image height is calculated to be approximately 2.4 mm.
To calculate the image height, we need to use the thin lens formula:
1/f = 1/do + 1/di
Where f is the focal length, do is the object distance, and di is the image distance.
In this case, the object is the person standing 27 m away, so do = 27,000 mm. The focal length is given as 75 mm. The image distance is the distance from the lens to the film, which is typically the same as the focal length. Solving for di, we get di = 74.999 mm.
Now we can use similar triangles to find the image height:
(image height) / (object height) = (image distance) / (object distance)
Plugging in the numbers, we get (image height) / 1800 = 74.999 / 27,000. Solving for the image height, we get approximately 2.4 mm.
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Why are streams and rivers important for ecosystems?
There are no results for Particles q1 = -66.3 UC, q2 = +108 uC, and 93 = -43.2 uC are in a line. Particles q1 and q2 are separated by 0.550 m and particles q2 and q3 are separated by 0.550 m. What is the net force on particle q2? Remember: Negative forces (-F) will point Left Positive forces (+F) will point Right + 108 MC 92 -43.2 MC 93 0.550 m -66.3 MC 91 0.550 m
The total of all forces acting on an object is known as the net force. A mass can accelerate due to net force.
How to calculate net force ?The total of all forces acting on an object is known as the net force. A mass can accelerate due to net force. Whether a body is at rest or in motion, it is subject to another force. When there are a lot of forces acting on a system, the term "net force" is used.
here r12 = 0.550m r23= = 0.550m Then the distance from the first charge to the third one will be:
r13 =r12+r23=0.550+0.550 = 1.1m
According to the Coulomb's law, the net force on particle q2 will be equal to the sum of the forces on particle q2 from the particle q1 and q3.
F3+=F13+F23=q1q2/r²13 + k q3q2/r²23
Where k = 9×\(10^{9}\) N m²/C²
Substituting numerical values, obtain:
F3= 9×\(10^{9}\)(-66.3 × \(10^{-6}\))(-43.2×9×\(10^{-6}\))/1.45²+9 ×\(10^{9}\) 108×\(10^{-6}\)(-43.2 ×\(10^{-6}\))/0.550²
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