These 2 statements are 2 steps of solar planet formation 1st statement is 3rd step 2nd statement is 4th step.
In the cosmos, there are a lot of planetary systems with solar planets around a host star, similar to our own. Because we refer to things that are connected to our star as "solar," our planetary system is sometimes known as "the solar system," after the Latin word for the Sun, "solis." The Sun, our star, and everything gravitationally connected to it, including the moons, planets, and dwarf planets like Pluto, Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, make up our solar system. Thousands of planetary systems orbiting other stars in the Milky Way have been found, in addition to our solar system. The Milky Way galaxy's outer spiral arm is where our solar system is situated. In our solar system, there is only the Sun.
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What can be concluded about
the current size of the Mediterranean Sea?
explain the energy and matter coincide into the universe on the basis of principle of conservation of energy
In natural systems, both energy and matter are conserved. This means that while energy and matter can change forms, neither can they be created nor destroyed. Energy and matter are frequently cycled within a system, and various forms of matter and energy can interact.
Explain conservation of energy?The first law of thermodynamics, also known as the law of conservation of energy, states that the energy of a closed system must remain constant—it cannot increase or decrease without external interference.There are three fundamental quantities that are conserved in mechanics. There are three of them: energy, momentum, and angular momentum.Limiting your energy consumption reduces your environmental impact. The longer we wait to make significant changes, the more dangerous global warming and climate change become to our daily lives. When we burn fossil fuels, we emit a massive amount of greenhouse gases.To learn more about energy conservation refer to :
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suppose oil spills from a ruptured tanker and spreads in a circular pattern. if the radius of the oil spill increases at a constant rate of 2 m/s, exactly how fast (in m2/s) is the area of the spill increasing when the radius is 26 m?
They have more than DT, which is equivalent to 9/20 pots. Therefore, this is the rate of change for both the radius and the shape's radiance.
Given that the pool is growing, the area is expanding at a rate of four. How quickly do you think the pool will grow when the radius is two centimeters. So allow me to simply correct something. The radius of the pool, then, is said to rise at a rate of four in the question.
So, we'll just say R for the radius. This is why art prevails over DT. which is provided for us Therefore, the subject of how quickly the pool's area. So let's pretend that Area is exactly where she should be. Let's assume that area is equal to A. Which is equivalent to pi R squared, which is equal to a. Therefore, we will calculate this function's derivative with respect to T. What stands for both sides is the A R D T. That is over DT by two pi times r times.
As a result, we must enter the values in the appropriate places. R has a value of two. Additionally, we are provided four R over DT. Let's enter these values, which are equal to two pi times R. S. 2. Additionally, they exceed DT, which is also four. Let's divide them by 16, which is 16.The spill's surface area grows by nine square feet each second. So let's say this circle has a radius of R once more. Therefore, D. A. above D. T. And that's so A. is the region for which nine is specified.
Accordingly, based on what I gather from the query, that is nine. That is pi times; they are over DT in our time. Plug in 10 for our, which is 10, 2 times 10 times they are over DT, to make the an over DT, which is nine, equal to pi times when R is equal to ten. The R over DT, which is equal to, shall be left unaffected. They are therefore over DT from here, which is equivalent to this is 9/20 pots. Therefore, this is the rate of change for both the radius and the shape's radiance.
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here are the temperatures of stars at the main-sequence turnoff in four clusters. are older clusters more likely to appear blue or red? cluster temperature (k) 47 tuc 5,000 m67 4,000 ngc 188 9,000 orion 22,000
This is because all of the stars in a cluster are thought to have formed practically simultaneously from the same cloud of interstellar space, therefore they should all have extremely similar characteristics.
We can learn a lot from star clusters that is applicable to the study of stars in general. The fundamental justification for this is because all of the stars in a cluster are thought to have formed practically simultaneously from the same cloud of interstellar space, therefore they should all have extremely similar characteristics. Accordingly, the sole distinguishing factor among stars in a cluster is their mass, and if we measure the characteristics of one star (such as its age, distance from us, composition, etc.), we may infer that the characteristics of the other stars in the cluster will be strikingly similar.
Although certain stars in the cluster do in fact originate earlier than others, this difference is negligible when compared to their lifespans and can be disregarded. We also suppose that each star in a cluster is located at a constant distance from Earth. Once more, there is a dispersion in distance, but it is usually considerably smaller than the distance to the cluster and may therefore be disregarded. The most distant stars, for instance, are roughly 50 parsecs from the cluster's center in the globular cluster M13, which is about 7,700 parsecs from Earth.
Finally, since the gas cloud from which they formed is anticipated to have been thoroughly mixed, the individual cloud fragments that formed individual stars should all have contained the same mix of elements and molecules. Accordingly, we assume that the chemical makeup of all of the stars in a given cluster should be very similar.
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a cyclotron is a device that can accelerate charged particles to very high velocities, and can be used to generate protons with radiative wavelengths that can kill cancer cells. what is the de broglie wavelength of a proton (mass 1.673 x 10-27 kg) that has been accelerated to a velocity of 1.35 x 104 m/s?
The de Broglie wavelength of a proton in a linear accelerator is 122 pm. A photon's de Broglie wavelength is twice that of an electron.
The rate of The electron is then defined as E 10 (b) = 10-2 (c) Pe=100 ca) Pt = 10 mee. The wavelength of a particle or matter can be calculated using the formula below. Thus, when the microscope is set to 100 keV, the wavelength of electrons is calculated to be 3.88 pm, 2.74 pm at 200 keV, and 2.24 pm at 300 keV. A photon's frequency is defined as the number of wavelengths it travels per second. A photon, unlike an electromagnetic wave, cannot be colored. A photon, on the other hand, will correspond to light of a specific color.
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Alma understands that for the body to be healthy, there must be a balance between the food we take in and the energy we put out. Which would be an
example of showing balance?
O A
working out two hours a day and eating one high protein meal
O B.
binging on ice cream and pizza for lunch and then skipping dinner
cutting out junk food and spending an hour a day exercising
O c.
O D. drinking nothing but smoothies and running five miles a day
The balance between food and energy is necessary. So, cutting out junk food and spending an hour a day exercising is good for health. Hence, option C is correct.
What is Energy?Energy in physics is the capacity to do work. It could take on several shapes, such as potential, kinetic, thermal, electrical, chemical, radioactive, and more. In addition, heat and effort are two other ways that energy is exchanged between bodies.
After being transferred, energy is always recognized according to its nature. As a result, the generation of thermal energy may happen through heat transfer while the formation of mechanical energy may result from work being done.
Hence, from this information Option C is correct.
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Answer:
c. cutting out junk food and spending an hour a day exercising
Explanation:
Recall that the formula for momentum is: P = mv
Which of the following correctly shows momentum being calculated?
O [tex]45N=(9kg)(5 m/s)[/tex]
O [tex]45kg*m/s=(9kg)(5 m/s)[/tex]
O [tex]4kg*m/s=(9kg)(5m/s)[/tex]
O [tex]14kg*/s=(9kg)(5m/s)s[/tex]
b) 45 kg m/s = ( 9 kg ) ( 5 m/s ) shows momentum being calculated
Momentum is mathematically defines as the product of the mass of a particle and its velocity. It is an impact what an object can produce if it collide .
Here
P = momentum , unit of momentum is kg m/s
m = mass , unit of mass is kg = 9 kg
and v = velocity , unit pf velocity = m/s = 5 m/s
momentum will be = 9 * 5 = 45 kg m/s
correct option will be
b) 45 kg m/s = ( 9 kg ) ( 5 m/s )
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find acceleration please
The acceleration of the particle in x-direction is 0.23 m/s².
The acceleration of the particle in y-direction is 4.92 m/s².
What is the resultant velocity in x-direction?The resultant velocity of the particle in x-direction is calculated as follows;
vₓ = √(13.7² + 17.9²)
vₓ = 22.54 m/s
The resultant velocity of the particle in y direction is calculated as follows;
[tex]V_y[/tex] = √(0² + 4.8²)
[tex]V_y[/tex] = 4.8 m/s
The acceleration of the particle in x-direction is calculated as follows;
Δx = vₓ + ¹/₂aₓt²
where;
aₓ is accelerationt is time of motionΔx = vₓ + ¹/₂aₓt²
23.7 = 22.54 + ¹/₂(3.2)²aₓ
23.7 = 22.54 + 5.12aₓ
1.16 = 5.12aₓ
aₓ = 1.16 / 5.12
aₓ = 0.23 m/s²
The acceleration of the particle in y-direction is calculated as follows;
[tex]\Delta y = v_y \ + \frac{1}{2} a_yt^2\\\\30 = 4.8 \ + \ \frac{1}{2} (3.2)^2a_y[/tex]
[tex]30 = 4.8 + 5.12a_y\\\\5.12a_y = 25.2\\\\a_y =\frac{25.2}{5.12} \\\\a_y = 4.92 \ m/s^2[/tex]
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suppose that you're driving down the highway and a moth crashes into the windshield of your car. which undergoes the greater force during the collision
Answer:
See below
Explanation:
The windshield and the moth experience equal but opposite forces. (The magnitudes are the same)
My Dad used to say "I'll bet he doesn't have the guts to do THAT again!"
Tambora volcano on the island of Sumbawa Indonesia has been known to throw ash into the air with the speed of 625 m/s during an eruption, how high could this volcano plume have risen
The maximum height reached by the Tambora volcano after the eruption is 19,929.85 m.
What is the maximum height reached by the Tambora volcano?The maximum height reached by the Tambora volcano is calculated by applying the following kinematic equation as shown below;
v² = u² - 2gh
where;
v is the final velocity of the volcanou is the initial velocity of the volcanoh is the maximum height reached by the volcanog is acceleration due to gravityat maximum height, the final velocity, v = 0
0 = u² - 2gh
2gh = u²
h = u²/2g
h = (625²) / (2 x 9.8)
h = 19,929.85 m
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You have two springs, and you have tested both and graphed the results. Spring A has a slope kA = 30g/cm, and spring B has a slope kB = 50 g/cm.
A) Spring A is a shorter spring than B when they are both unstretched.
B) Spring A will stretch more than B if you hang the same amount of mass on each spring.
C) No! Spring B will stretch more than A if you hang the same amount of mass from each spring.
Spring A will stretch more than spring B if same mass is hanged from both of them because the value of Ka is less than that of Kb.
According to hook's law, for a spring,
F = -Kx
where,
F is applied force on the spring,
x is the extension or compression in string,
K is the constant of proportionality known as spring constant,
The value of spring constant tells us about the stiffness of the spring,
According to the situation,
Ka = 30g/cm
Kb = 50g/cm
So, the answer is option B,
As we can see, the value of Kb is more than Ka so, we can say that the spring B is more stiff than spring A,
So, if same mass is hanged from the spring A and Spring B, the spring A will stretch more.
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What is the weight of a 172 kg football player?
Answer:
Explanation:
Given:
m= 172 kg
g = 9.8 m/s²
___________
F - ?
F = m*g = 172*9.8 ≈ 1690 N
Which point of view does the narrator use in the passage? "keep those balls going!" he fist-thumped at us. "no one sits out this fire fight! never underestimate the enemy!" but there was a broad smile on his face. now that he was actually seeing the other team, he seemed not at all concerned about the outcome of the game. in the interim between throwing a ball and having it thrown back to me, i told myself that i liked mr. galanter.
Maintain the ones balls going , he fist-thumped at us. no one sits out this fireplace fight, never underestimate the enemy , however there has been a wide smile.
Narration is using a written or spoken statement to convey a tale to an audience. Narration is conveyed by using a narrator: a particular individual or unspecified literary voice, evolved by the author of the story, to supply facts to the target market, specially approximately the plot.
The narrator's handiest exists within the global of the tale and gives it in a manner the target audience can draw close. In non-fiction, the narrator and the author may be the same individual, because the actual global and the world of the story may be the equal.
Narration is a way wherein one or more performers communicate without delay to the target audience to tell a tale, supply facts or touch upon the movement of the scene or the motivations of characters. Characters may additionally narrate, or a performer who isn't worried in the action can carry out the role of 'narrator.
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Answer: I think its first person.
Explanation:
all the population that live together in the same place
Answer: Community
Explanation: All the populations of all the different species that live together in a particular area
you are driving to the grocery store at 18 m/s. you are 110 m from an intersection when the traffic light turns red. assume that your reaction time is 0.50 s and that your car brakes with constant acceleration.
The car's final speed should be at the moment of stopping.
Consequently, it takes 2m/s2 of acceleration to bring the vehicle to a complete stop.
The mechanics of basic motion include position, time, velocity, and acceleration.
The velocity is the change in position over time, while the acceleration is the change in velocity over time.
Keep in mind that acceleration is 0 if the velocity is constant.
d = 110-Vo*t = 110 - 20*0.7 = 96 m.
a = (V^2-Vo^2)/2d = (0-20^2)/192 =
-2.08 m/s^2.
V = Vo + a*t = 0
t = -Vo/a = -20/-2.08 = 9.60 s.
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what causes a low-mass star, like the sun, to evolve away from the main sequence? hydrogen is exhausted in the core. all of the hydrogen becomes helium. carbon fusion begins
Hydrogen and helium are fused together in the cores of stars on the main sequence. Low-mass stars process their hydrogen rather slowly, so they spend a lot of time on the main sequence.
Hydrogen is converted to helium in the cores of stars on the main sequence. Low-mass stars remain on the main sequence for a considerable amount of time because they process their hydrogen very slowly. But what happens when the hydrogen in their cores is completely depleted? The precise mass of the star turns out to be a determining factor in the response; the greater the star, the more violent the conclusion.
The star's ability to produce energy gradually decreases as its hydrogen supply gets depleted. The outer layers of the core are drawn inside by gravity, but the temperatures never get hot enough for any additional nuclear reactions to occur. The star shrinks, cools, and grows fainter over time. It will eventually contract into a black dwarf, a chilly ball the size of the Earth.
Of course, all of this is simply conjecture. It takes a star with such a little mass a very, very long time to exhaust all of its hydrogen fuel. It might take a star of 0.2 solar masses a trillion years to exhaust all of its hydrogen.
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one paint bucket weighing 40.0n is hanging by a massless cord from another paint bucket also weighing 40.0 n. the two are being pulled upward with an acceleration of 1.50 m/s^2 by a massless cord attached to an upper bucket. calculate the tension in each cord
The tension in each cord would be
T1=92.24N
T2=46.12N
Solution
40N = mg
m = 4.08kg
Coupled System
∑F = Ma
F=ma, which stands for Newton's second law, states that a force acting on an object is equal to that object's mass times its acceleration (a). This implies that the force required to accelerate an item increases with its mass. Additionally, the acceleration of an item increases with increasing force.
T1 - Mg = Ma
T1 - 80 = (4.08 + 4.08)(1.5)
T1 = 92.24N
T1- T2-Mₐg=mₐ a
92.24-T2-40=4.08(15)
T2 = 46.12 N
T2- Mᵇ g = mᵇa
T2 - 40 = 4.08(1.5)
T2 = 46.12N
Therefore the tension in each cord would be
T1=92.24N
T2=46.12N
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when resistors 1 and 2 are connected in series, the equivalent resistance is 16.0 0. when they are connected in parallel, the equivalent resistance is 3.0 o. what are (a) the smaller resistance and (b) the larger resistance of these two resistors
a) The smaller resistance (R₁) is 4.
b) The larger resistance (R₂) is 12.
What is the rule for parallel resistors?When resistors are connected in parallel, the supply current is equal to the sum of the currents passing through each one of them. The total current flowing through the branches of a parallel circuit is the supply current. Resistor parallel connections have the same potential difference.
Given,
R₁ + R₂ = 16,
R₂ = 16 - R₁
[tex]\frac{R_{1} R_{2} }{R_{1}+R_{2} }[/tex] [tex]= 3[/tex],
This statement can be written as,
[tex]\frac{1}{R_{1} } +\frac{1}{R_{2} } =\frac{1}{3}[/tex]
Substitute [tex]R_{2}[/tex] value in above equation,
[tex]\frac{1}{R_{1} } +\frac{1}{16-R_{1} } =\frac{1}{3}\\\\\frac{16-R_{1} +R_{1} }{R_{1}(16-R_{1}) } =\frac{1}{3}\\\\\frac{16}{R_{1(16-R_{1}) } } =\frac{1}{3} \\\\[/tex]
48 = R₁(16 - R₁)
16R₁ - R₁² = 48
- R₁²+ 16R₁ - 48 = 0
Multiply both sides by (-1).
R₁²- 16R₁ + 48 = 0
R₁² - (12 + 4)R₁ + 48 = 0
R₁ (R₁ - 12) - 4 (R₁ - 12) = 0
(R₁ - 4)(R₁ - 12) = 0
If R₁ = 4 then R₂ = 12 and if R₁ = 12 then R₂ = 4.
Therefore, it can be said that the smaller resistance is 4 and larger resistance is 12.
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what happens to the magnitude of the charge on each plate of a capacitor if the potential difference between the conductors is doubled? it becomes four times larger.
a high driver jumps horizontally off the diving board with a speed of 1.3m/s how long does it take before he hits the water 27m below and how far will he have traveled horizontally in this time.
If a high driver jumps horizontally off the diving board with a speed of 1.3 m/s, it would take 2.34 seconds to hit the water.
What are the three equations of motion?There are three equations of motion given by Newton,
v = u + at
S = ut + 1/2×a×t²
v² - u² = 2×a×s
As given in the problem a high driver jumps horizontally off the diving board with a speed of 1.3 m/s.
By using the second equation of the motion,
S = ut + 1/2×a×t²
27 = 0 + 0.5 × 9.8 × t²
t = 2.34 seconds
Thus, it would take 2.34 seconds to hit the water.
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The temperature inside my refrigerator is about 4 degrees C. If I place a balloon in my fridge that initially has a temperature of 22 degrees C and a volume of 0.5 L, what will be the volume of the balloon when it is fully cooled by my refrigerator?
v
Convert the given temperatures from celsius to kelvin since we are dealing with gas.
To convert to kelvin, add 273.15 to the temperature in celsius.
T1 = 22 + 273.15 = 295.15 k
T2 = 4 + 273.15 = 277.15 k
V1 = 0.5 L
Let's find the final volume (V2).
To solve for V2 apply Charles Law formula below:
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]A car starts from rest and travels for 5.0 s with a constant acceleration of +1.5 m/s^2. The driver then applies the brakes, causing a constant acceleration of -2.1m/s^2. The brakes are applied for 3 seconds. How fast is the car moving at the end of the braking period?
car starts from rest and travels for 5.0 s with a constant acceleration of +1.5 m/s^2.
The car's speed was 1.2 m/s faster at the end of the breaking period.
What it means acceleration?The act or process of moving more swiftly or making something happen more quickly: the act or process of speeding economic growth.the rate of change of velocity generally with respect to time.The metre per second per second (m/s2) unit of acceleration.Acceleration is a vector quantity since it has both a magnitude and a direction. A vector quantity is also velocity. The velocity vector change during a time interval divided by the time interval is the definition of acceleration.From Equation of the motion
v = u + at
car starts from rest and travels for 5.0 s with a constant acceleration of +1.5 m/s^2
v = 0+ 1.5 * 5 = 7.5 m/s
a constant acceleration of -2.1m/s^2. The brakes are applied for 3 seconds
Then
u= 7.5 m/s t= 3s a= -2.1 m/s^2
v= 7.5 + -2.1 * 3 = 7.5 -6.3 = 1.2 m/s
The car's speed was 1.2 m/s faster at the end of the breaking period .
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you see a red light and immediately receive a mild electric shock. this happens several times. you eventually cringe at the sight of the red light. when you feel the electric shock itself, that also causes you to cringe when it hits you, and you are displaying a(n)
Whilst you experience the electrical surprise itself, that still causes you to cringe while it hits you, and you are showing a(n): Conditioned reaction.
The electric name came from the phrase "Elektron", which means amber. Amber is the yellow, fossilized rock you discover in tree sap. The Greeks located that in the event that they rubbed amber towards wool, lightweight objects (together with straw or feathers) might stick to it. This form of strength is called "static" strength.
You operate electric powered in the front of nouns to talk approximately unique machines or gadgets that use electricity. The boat runs on an electric motor. My dentist recommends I am getting an electric toothbrush. you operate electrical whilst you are talking in a extra standard manner approximately machines, gadgets, or systems that use or produce strength.
An example of power is the force that powers a mild bulb. An instance of strength is lightning. An instance of electricity is static power, the accumulation of electrical costs on an object's surface.
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a rock is dropped from a height of 2.00 m. (a) determine the velocity of the rock just before it hits the ground. (b) if the momentum of the rock just before hitting the ground is 14.0 kgm/s, what is the mass of the rock?(c) is the collision between the rock and the ground elastic or inelastic? explain.
(a) 6.32 m/s is the velocity of the rock.
(b) 2.21 kg is the mass of rock if the momentum of the rock hitting the ground.
(c) The collision between the rock and the ground is elastic.
How to find the velocity ?To find the final velocity use the 3rd equation of motion. When the rock is dropped from the height we can say that then the initial velocity become zero that means u = 0m/s.
Now,
v² - u² = 2gh
v² - 0² = 2 × (10 m/s²) × (2.00 m)
v² = 40 m² / s²
v = 6.32 m/s
How to find the mass with the help of momentum?To find the mass of the rock with the help of momentum use the formula
p = mv
where,
p = Momentum
m = Mass
v = Velocity
Now, by putting the values we get the mass as
p = m × v
14.0 kg m/s = m × 6.32 m/s
m = 2.21 kg
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A dart shot at a monkey is traveling 8 m/s horizontally, while simultaneously traveling 9 m/s downward. What is the magnitude of the total velocity of the dart?
The angle below the horizontal the dart shot at 8 m/s horizontally and 9 m/s downward is 41.67°
In a right angled triangle,
tan θ = Opposite side / Adjacent side
Here the resultant velocity, horizontal and vertical components makes a right angled triangle.
Opposite side = Horizontal component = 8 m / s
Adjacent side = Vertical component = 9 m / s
tan θ = 8 / 9
tan θ = 0.89
θ = [tex]tan^{-1}[/tex] ( 0.89 )
θ = 41.67°
The formula used to solve the problem is a trigonometric ratio. Trigonometric ratios are applicable only on a right angled triangle. Some of the basic trigonometric ratios are:
sin θ = Opposite side / Hypotenusecos θ = Adjacent side / HypotenuseTherefore, the angle below the horizontal, the dart is traveling is 41.67°
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A painter sets up a uniform plank so that he can paint a high wall. The plank is 2 m long and weighs 400 Ν. The two supports holding the plank are placed 0.2m from either end.
A painter now stands on the plank closest to the left hand support. Describe what now happens to the forces provided by the support when the painter is on the plank.
The forces provided by the support will have to increase proportionally to the weight or force of the painter acting downward.
What are balanced forces?Balanced forces are forces that are equal but oppositely directed in their line of action.
When forces are balanced, there is no net movement of the object that the forces are acting upon.
The uniform plank is balanced by the supports.
When the painter stands on the plank, the force of gravity or the weight of the painter acts downwards.
In order for the forces to be balanced, the forces provided by the support increase according to the third law of motion which states that action and reaction are equal and opposite.
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an ice skater rotating around a vertical axis decreases in angular velocity from 500°/s to 60°/s in 7.6 seconds. find the angular acceleration in rad/s^2.
The angular acceleration of an ice skater is -57.89 ⁰/s².
We need to know about angular acceleration to solve this problem. The angular acceleration can be defined as how many angular velocity change in second. It can be written as
a = Δώ / t
where a is angular acceleration, Δώ is change in angular velocity and t is interval time.
From the question above, the parameters given are
ώo = 500 ⁰/s
ώt = 60 ⁰/s
t = 7.6 s
By substituting the given parameters, we can calculate the angular acceleration
a = Δώ / t
a = (ώt - ώo) / t
a = (60 - 500) / 7.6
a = -440 / 7.6
a = -57.89 ⁰/s²
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a spring scale is used to measure the weight of various objects. when a 100 g empty glass bottle is placed on the scale, the spring stretches down 1.8 cm. how much water should be poured into the glass bottle to stretch the spring down by 2.7 cm?4
Answer:
50 ml of water
Explanation:
100 gm / 1.8cm * 2.7 cm = 150 gm total
subtract the glass mass 150 - 100 = 50 gm of water = 50 ml of water
a simple pendulum consists of an object suspended by a string. the object is assumed to be a particle. the string, with its top end fixed, has negligible mass and does not stretch. in the absence of air friction, the system oscillates by swinging back and forth in a vertical plane. if the string is 1.40 m long and makes an initial angle of 31.0° with the vertical, calculate the speed of the particle at the following positions.
The angular speed of the pendulum is √7 rad/s.
We need to know about pendulum experiments to solve this problem. The pendulum is a simple experiment to calculate gravitational acceleration. The gravitational acceleration can be calculated by
g = 4π² . L / T²
where g is gravitational acceleration, L is the length of the string and T is the period.
From the question above, we know that:
L = 1.40 m
g = 9.8 m/s²
θmax = 31°
m = m
Find the period of pendulum
g = 4π² . L / T²
9.8 = 4π² . 1.4 / T²
T² = 4π²/7
T = 2π√7 / 7 s
Find the angular speed
ώ = 2π / T
ώ = 2π / (2π√7 / 7)
ώ = √7 rad/s
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Two lifeguards pull on ropes attached to a
raft. If they pull in the same direction, the raft
experiences a net external force of 343 N to
the right. If they pull in opposite directions,
the raft experiences a net external force of
177 N to the left.
Draw a free body diagram for each situation
and find the magnitude of the larger of the two
individual forces.
Answer in units of N.
The magnitude of the larger of the two individual forces. is 120.5N.
Solution:
x + y = 343
x - y = 177
2x = 520
x = 222.5 N
y = 343 N - 222.5 N = 120.5N.
The resultant force of two forces of equal magnitude is equal to one of the two vectors. In physics, the magnitude of a force is the sum of all forces acting on an object. If all forces act in the same direction, the force magnitude increases. When forces act on an object in different directions, the force magnitude decreases. If one force is stronger than the other, the force will move to the smaller side but the acceleration will be slower. So the result is the difference between the two forces.
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