To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system remains constant unless acted on by an external force. In this case, the initial momentum of the car before the collision is 3,565 kg * 27.2 m/s = 97,068 kgm/s, and the initial momentum of the truck before the collision is 0 kgm/s, since it is stationary. After the collision, the two vehicles become stuck together and move away from the point of impact with a combined mass of 3,565 kg + 3,692 kg = 7,257 kg. Since the total momentum of the system must remain constant, the combined velocity of the two vehicles after the collision must be equal to the total initial momentum of the car and truck before the collision, or 97,068 kg*m/s.
Therefore, the combined velocity of the two vehicles after the collision is 97,068 kg*m/s / 7,257 kg = 13.4 m/s. This is the speed at which the two vehicles move away from the point of impact. Note that this is a bit less than half the initial speed of the car before the collision, which is expected since the combined mass of the car and truck is greater than the mass of the car alone, and the momentum of the system must be conserved.
oe balances a stationary coin on the tip of his finger 2 m from the top of the floor. how much work is joe doing?
The work done by Joe is 0J in balancing a stationary coin 2 m from the top of the floor.
The work is done when an object is raised to a height against gravity. Work done depends on force and displacement caused by that force.
W = F. S
Where,
W = work done
F = Force and,
S = displacement caused in an object in the direction of the force.
Since the object has not been raised against gravity, there is no force against which work has been done.
F = 0 N, S = 2 m
W = 0× 2 J
= 0 J
The work done is 0J
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If 42 J of chemical energy in a battery places 7.0 C of negative charge at the negative terminal,
leaving a deficit at the positive terminal, what is the potential difference between the negative and
positive terminals of the battery?
The battery's negative and positive terminals have a 6J/C potential difference. This depicts a separation between a positive charge and a negative charge.
Calculation:
W = qV
W/q = V
42/7 = V
V = 6J/C
How much potential energy does a 12 V battery with a 2 C charge have?For every 1 Coulomb of charge that passes between a 12 volt battery's negative and positive terminals, 12 Joules of electric potential energy are produced. Charge to potential energy change changes in a 12:1 ratio. The difference in potential energy for two Coulombs of charge would therefore be 24 Joules.
What is the formula for terminal potential difference?The cell is charged by current I that comes from another source. In this situation, the terminal potential difference is Ir times bigger than the emf, hence V=E+Ir.
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Pt 1
A neutron in a reactor makes an elastic head on collision with the nucleus of an atom initially at rest assume the mass of the atomic nucleus is about 12.5 the mass of the neutron. What fraction of the neutrons kinetic energy is transferred to the atomic nucleus
Pt2
If the initial kinetic energy of the neutron is 4.31x10^ -13 J find it's final kinetic energy answer in units of J
Conservation of momentum states that the momentum remains constant within the problem region. Momentum is neither created nor destroyed, it is changed only by the action of force in the sense of Newton's laws of motion.
For head on elastic collision both momentum and energy are conserved.
Initial Momentum = Final Momentum
v = mv₁ + 12.5mv₂
m = mass of neutron
v = final velocity of neutron after collision
v₁ = initial velocity of neutron
v₂ = velocity of atom
v = v₁ + 12.5v₂
Energy before = energy after
½ m v² = ½ m v₁² + ½ (12.5m) v₂²
v² = v₁² + 12.5 v₂²
We want to find the fraction of the neutron's kinetic energy is transferred to the atomic nucleus.
KE/KE = (½ (12.5m) v₂²) / (½ m v²)
KE/KE = 12.5 v₂² / v²
KE/KE = 12.5 (v₂ / v)²
We need to find the ratio v₂ / v.
Solve for v₁ in the momentum equation and substitute into the energy equation.
v₁ = v − 12.5 v₂
v² = (v − 12.5 v₂)² + 12.5 v₂²
v² = v² − 25 v v₂ + 156.25 v₂² + 12.5 v₂²
0 = -25 v v₂ + 168.75 v₂²
0 = -25 v + 168.75 v₂
25 v = 168.75 v₂
v₂ / v = 25 / 168.75
v₂ / v = 0.148
Hence, the fraction of the kinetic energy transferred is:
KE/KE = 14.1 (0.148)²
KE/KE = 0.296
Part 2/2
If a fraction of 0.296 of the initial kinetic energy is transferred to the atomic nucleus, the remaining 0.704 fraction must be in the neutron.
Therefore, the final kinetic energy is:
KE = 0.704 (4.31 ×10⁻¹³ J)
KE = 3.034 × 10⁻¹³ J
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During photosynthesis, _____________ gas enters the leaves and _______ gas is given off. Responses hydrogen, carbon dioxide hydrogen, carbon dioxide, carbon dioxide, oxygen carbon dioxide, oxygen, oxygen, carbon dioxide oxygen, carbon dioxide, nitrogen, argon
Carbon dioxide enters this same leaves during photosynthesis, while oxygen gas is released.
Explain what photosynthesis is.The method whereby a plants use carbon dioxide, water, and sunshine into oxygen and sugar-based energy is known as photosynthesis. The four stages of photosynthesis include light absorption, redox reactions, ATP production, and carbon fixation.
What makes photosynthesis so crucial?While photosynthesis is the method used by plants to convert back into carbon dioxide with the aid of sunlight, it is significant. Both oxygenic and anoxygenic sunlight are possible. Plants that produce oxygen (O2) & glucose during procedure of photosynthesis, which involves breaking apart the reaction mixture of co2 and water and recombining them (C6H12O6).
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if a car engine has a thermal efficiency of 50% and it does 500 j of work in one cycle, how much energy input does it require each cycle?
A automobile engine that performs 500 j of effort in one cycle and has a thermal performance of 50% needs 1000 j of energy for input each cycle.
Energy in Example: What is it?Energy can take on a variety of shapes. Energy can take many different forms, such as light, heat, mechanical, electrical, acoustic, chemical, nuclear, or atomic energy.
Can you break energy?Energy can only be converted or moved through one form to another; it cannot be created or destroyed. For instance, kinetic energy is produced from chemical energy.
Briefing:Efficiency = (E out / E in) × 100%
E in = (E out / 50) × 100
E in = (500 / 50) × 100
E in = 1000j
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Please help me with this question, many thanks
When F1 and F2 are given , then acceleration vector, a(x, y) is calculated as = (-1,5) m/s².
What do you understand by force?In science, 'force' has a precise meaning and we can say that a force is a push or a pull. A force is exerted on an object by another object.
Newton's 2nd Law is given by:
F = m*a
Where F is a vector and mass is scalar therefore, acceleration is also a vector. As Vector/Scalar = Vector.
Now, F1 + F2 = F(net)
So, (3-5, 4+6) = (x1+x2, y1+y2)
F(net) = (-2, 10)
F(net) = m*a
Then, acceleration = F(net) /m
= (-2/2, 10/2) = (-1, 5)
Acceleration vector, a(x, y) = (-1,5) m/s².
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why does overexposure to uv light often result in sunburn when overexposure to visible light does not? this is why you can get burnt even on a cloudy day.
The overexposure to UV light often result in sunburn but the overexposure to visible light doesn't result in the same because UV light can pass through all the layers of the Earth and have drastic effects on the human body.
A sunburn is caused by ultraviolet rays. For ultraviolet rays, clouds are semi transparent, so we can get sunburn even on a cloudy day. However, glass is opaque to UV rays. The rays cannot reach them and so we are protected from sunburn.
UV rays are carcinogenic in nature, it is a form of non-ionizing radiation that is emitted by the sun and artificial sources, such as tanning beds. While it has some benefits for people, including the creation of Vitamin D, it also can cause health risks.
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in CT Scan Machine the source of X-Ray is rotated around the person why
Answer:
As the patient passes through the CT imaging system, a source of x rays rotates around the inside of the circular opening. A single rotation takes about 1 second. The x-ray source produces a narrow, fan-shaped beam of x rays used to, irradiate a section of the patient's body.
The patient table is continually pushed through the gantry's hole as the x-ray tube revolves around the patient. This enables the acquisition of a continuous set of attenuation data in a helical or spiral manner; as a result, this generation of scanner is known as a helical/spiral scanner.
What is CT Scan Machine?A narrow x-ray beam is quickly spun around a patient's body during a procedure known as "computed tomography," or CT. This produces signals that are then analyzed by the machine's computer to create cross-sectional images, or "slices," of the patient's body.
These sections, which are known as tomographic pictures, can provide a clinician with more specific information than traditional x-rays. A three-dimensional (3D) image of the patient can be created once a number of successive slices have been collected by the machine's computer. This makes it easier to identify the patient's basic anatomy as well as any potential tumors or anomalies.
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WILL GIVE BRAINLIEST.
Objects 1 and 2 attract each other with a gravitational force of 18.0 units. If the distance separating Objects 1 and 2 is doubled, then the new gravitational force will be ____ units.
If the distance separating Objects 1 and 2 is doubled, then the new gravitational force will be 72.0 units.
What is Gravitational force?The force of attraction that operates on all matter is known as gravity, or gravitational force in mechanics. It is by far the weakest known force in nature and plays no role in determining the internal properties of everyday matter. It controls the orbits of objects in places, the structure, and the evolution of stars, galaxies, and the universe as a whole.
On Earth, every object has a weight, or downward gravitational force, proportional to its mass, and the mass of the Earth acts on them. The acceleration that gravity causes in a falling item serves as a gauge of its strength. The acceleration of gravity at the Earth's surface is around 9.8 meters per second (32 feet) per second. For each second her body is in free fall, its velocity increases by about 9.8 meters per second. On the moon, the acceleration of a free-falling object is approximately 1.6 meters per second.
The gravitational force among two objects can be written as:
F = G×m₁×m₂/r²
Where G is the gravitational constant, m₁ and m₂ are the masses of both objects and r is the distance between them.
Now, we have that F = 18 .0 units.
Let's change r to 2r, the new force is:
F' = G×m₁×m₂/(2r)²
F' = G×m₁×m₂/4r²
F'/F = (G×m₁×m₂/4r²)/G×m₁×m₂/r²
F' = 4 F
F' = 4 × 18.0
F' = 72 units
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PLEASE help! I am so desperate LOL
1: A 75.0 kg astronaut is training for accelerations that he will experience upon reentry. He is placed in a centrifuge (r = 20.0 m) and spun at a constant angular velocity of 15.0 rpm (revolutions per minute). He is then slowed and brought to a stop in 2.0 minutes.
(1a) Find the magnitude and direction of the centripetal acceleration and force when he is spinning at constant angular velocity.
(2a) How many g’s is the astronaut experiencing when moving at constant angular velocity?
(3a) Find the torque that is needed to bring the centrifuge to a stop knowing the centrifuge has a mass of 5500.0 kg (ignore all other forces) and the force is applied at the edge of the centrifuge (20.0 m radius). Hint: torque is based on the change of linear velocity.
2: An astronaut lands on an alien planet. He places a pendulum (L = 0.200 m) on the surface and sets it in simple harmonic motion, as shown in this graph.
(2a) What is the period and frequency of the pendulum’s motion?
(2b) How many seconds out of phase with the displacements shown would graphs of the velocity and acceleration be?
(2c) What is the acceleration due to gravity on the surface of the planet in m/s2? Determine the number of g-forces.
Answer: (1a) The magnitude of the centripetal acceleration is 31.4 m/s^2, and the direction is towards the center of the circular motion.
(2a) The astronaut is experiencing 31.4 m/s^2 / 9.8 m/s^2 = 3.22 g's.
(3a) The torque needed to bring the centrifuge to a stop is (5500.0 kg * 31.4 m/s^2 * 20.0 m) = 3,420,000 N * m.
2:
(2a) The period of the pendulum's motion is 0.20 m / 0.10 m/s = 2.0 seconds, and the frequency is 1 / 2.0 s = 0.50 Hz.
(2b) The graphs of velocity and acceleration would be 0.5 seconds out of phase with the displacements shown.
(2c) The acceleration due to gravity on the surface of the planet is 0.10 m/s^2 / 9.8 m/s^2 = 1.02 g's.
Explanation:
4) A light object is dropped from rest. It falls a large distance vertically through air.
How can the motion of the object be described?
An object's position, velocity, acceleration, and direction can all be used to define motion. If an object's position with relation to a fixed point changes, then the object is moving. Even objects that seem to be at rest are in motion.
What impact does gravity have on the motion of falling objects?An object will descend toward the ground with increasing speed as it does so due to gravity. In actuality, an object's velocity rises by 9.8 m/s2, thus by the time it begins to fall, it has a velocity of 9.8 m/s.
How does air resistance affect the acceleration of falling objects?Because air resistance slows the speed of the falling object, acceleration during a fall is less with air resistance than it is with gravity.
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the earth completes its rotation around the sun each year, with an average distance of 1.5 x 1011m. use this information to calculate the mass of the sun.
The mass of the sun is 2×10³⁰kg.
What does mass of the Sun mean?The solar mass (M) is a commonly used measurement of mass in astronomy and is roughly 2×10³⁰kg. It is frequently used to denote the masses of other stars, stellar clusters, nebulae, galaxies, and black holes, among other objects. Its mass is roughly equal to that of the Sun.
Average distance of sun is 1.5 x 10¹¹m
The amount of time it takes for the Earth to make one rotation around the Sun,
T = 1year = 365.25days
T = 365.25×24×60×60s
Gravitational constant, G = 6.67×10⁻¹¹Nm²kg⁻²
Thus, mass of the Sun,
M = 4πr²r³/GT²
M = 4×3.14²× (1.5 x 10¹¹)³/ 6.67×10⁻¹¹(365.25×24×60×60s)²
M = 2×10³⁰kg.
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Adding a heat lamp inside the shelter a
answers:
radiation
convection
conduction
Answer:
Radiation
Explanation:
Hope it helps!
Describe the relationship between the average atomic mass
and the percent composition of isotopes found in nature.
The relationship between the average atomic mass and the percent composition of isotopes found in nature be: an element's average atomic mass is calculated by adding the masses of its isotopes and multiplying each percentage result by the element's natural abundance.
What is average atomic mass?The average mass of an element's isotopes, calculated based on their mass number and proportion of abundance in nature, is known as the element's average atomic mass.
The average atomic mass of chlorine is 35.5, for instance.
The formula for average atomic mass is:
Average atomic mass = [(percentage) mass number a isotope + (percent)mass number of other isotope + ...]÷100
Here, percentage refers to the proportion of an element's first naturally occurring isotope that is abundant.
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if a distant planet has rings, based on examples in our solar system, what is the likelihood that it will also contain moons?
Distant planet having rings have a good likelihood of moons inclined to equatorial plane.
An enormous ring system known as J1407b, which is orbiting a distant planet, has been found by an international team of astronomers. It is much larger and heavier than Saturn's ring system.J1407, a star about 434 light-years away from Earth, is the star that the planet orbits. In 2012, astronomers made the first discovery of the ring system, the first of its kind discovered outside of our solar system. The ring system has more than 30 rings, each of which has a diameter of tens of millions of kilometers, according to a recent analysis of the data that was published in the Astrophysical Journal. In addition, the analysis uncovered gaps in the rings, suggesting that satellites or exomoons may have formed.To learn about Distant planet -
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An element with a mass of 580 grams decays by 27. 9% per minute. To the nearest tenth of a minute, how long will it be until there are 60 grams of the element remaining?.
6.94 mins time will it be until there are 60 grams of the element remaining.
What does it mean to decay in physics?An unstable nucleus will spontaneously lose energy through radioactive decay by releasing ionizing radiation and particles. An atom of one kind, known as the parent nuclide, changes into an atom of a different type, known as the daughter nuclide, as a result of this decay, or loss of energy.By severing connections, compounds can be broken down into smaller compounds or their underlying elements. Some substances break down when heated or exposed to sunshine. For instance, heating calcium carbonate (lime stone) causes it to break down into calcium oxide (quick lime) and carbon dioxide.A compound decay formula ,F = P [tex]( 1 - r )^{t}[/tex]Given data :
F is the future amount (we want it to be 60)
P is the present amount (580 now)
r is the rate of decay per minute (27.9% = 27.9/100 = 0.279)
t is the time it takes (what we want to find)
Substituting, we get our answer to be:
F = P [tex]( 1 - r )^{t}[/tex]
60 = 580 [tex]( 1 - 0.279 )^{t}[/tex]
60 = 580 [tex](0.721)^{t}[/tex]
0.1034 = [tex]0.721^{t}[/tex]
Ln ( 0.1034) = Ln [tex](0.721^{t} )[/tex]
Ln ( 0.1034) = t x ( 0.721)
t = [tex]\frac{Ln(0.1034)}{Ln(0.721)}[/tex] = 6.94
So, it is going to take about 6.94mins, rounded to nearest tenth (1 decimal), we have: About 6.94mins
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What is NOT TRUE about all forces?
A. They can be unbalanced
B. They ALWAYS cancel each-other
out
C. They can cause objects to move
D. They involve more than one object
Not all forces can be out of balance, though.
Option a is correct.
What are the required 2 components for a vector quantity?The size and direction of a vector quantity are its two distinguishing features. The magnitude and direction of two vector values of the same kind must be compared when comparing them.
What three non-contact forces are examples?The charging of the hair and the paper's attraction to it. Another illustration of a non-contact force is the proximity of two magnets. Gravity is what causes a ball to fall freely toward the earth. Non-contact forces include things like leaves falling from a tree.
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Katrina pushes off a flat sidewalk on her skateboard. (Friction is present) What statement best decribes the relationship between the work done by Katrina and the kinetic energy ?
A.The relationship between the work and kinetic energy cannot be determined with the provided information .
B. The amount of work Katrina does on herself and the skateboard is equal to the kinetic energy held by her and the skateboard.
C. The amount of work Katrina does on herself and the skateboard will be greater than the kinetic energy held by her and the skateboard.
D. The amount of work Katrina does on herself and the skateboard will be less than the kinetic energy held by her and the skateboard
The amount of work Katrina does on herself and the skateboard is equal to the kinetic energy held by her and the skateboard.
What is the work done?We know that work is said to be done when the force that is applied moves a distance in the direction of the force. In this case we can see that Katrina pushes off a flat sidewalk on her skateboard.
We also know that the energy that is possessed by a body that is in motion is the kinetic energy of the object. We can see that immediately that Katrina pushes off a flat sidewalk on her skateboard, she is already moving and this would mean that she does have a kinetic energy in the context of our discussion here.
With the knowledge that the work and the energy are equivalent terms it is clear that the kinetic energy would equal the work done.
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1-if iron nails are inserted into a solenoid carrying a current, does the magnetic strength of the solenoid increase or decrease?
2- if a piece of soft iron bar is inserted into a solenoid carrying a current, does the magnetic strength of the solenoid increase or decrease?
The magnetic field inside the solenoid is increased.
What is magnetic field?Magnetic Field is the region around a magnetic material of or a moving electric charge to the within which the force of a magnetism acts. A pictorial to representation of to be the relative magnetic field of which describes how to a magnetic force is the distributed within and around a magnetic material.
The magnetic field around the the current carrying of to a solenoid is similar to their magnetic field produced by the bar magnet.
When a soft iron bar is the introduced inside a current of the carrying solenoid, the magnetic field inside thd left solenoid will increase.
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1. A 4-kg skateboard moving at 8 m/s collides with another identical skateboard initially
at rest. If the two skateboards stick together, what is their speed after the collision?
A collision occurs between two identical skateboards that are initially at rest and a 4-kg skateboard travelling at 8 m/s. After a collision, if the two hoverboards keep together, the s = 32 m/s.
Describe collision.In physics, collision, often known as impact, is the abrupt, violent coming together in close proximity of two entities, such as, for instance, two pool cues, a golf course and a projectile, a hammer and just a nail head, or two fish road cars if being paired together, or a dropping object and just a floor.
What three sorts of collisions are there?There are three different kinds of collisions: collisions with perfect elastic properties. inflexible collision collision with perfect inelasticity. Every collision involves not one but three collisions: the vehicle contact, the physical collision, or the internal colliding (inside your body).
Briefing:p = m*v
m = 4 kg
v = 8 m/s
speed = 4kg * 8 m/s
speed = 32 m/s
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What is the pressure exerted on the ground by a 5-kg box that has a width of 5 m and a length of 10 m?
Does water boil at or over 100°C. At normal pressure. And i mean excatly 100°C not 100,00000000000000000000000000000000000000001°C.
Water boils at exactly 100°C (212°F) at normal atmospheric pressure. This is known as the boiling point of water, and it is the temperature at which water transitions from a liquid to a gas (steam) at normal atmospheric pressure. The boiling point of a substance is the temperature at which the vapor pressure of the liquid is equal to the atmospheric pressure, and for water, this occurs at 100°C. The boiling point of water can vary depending on factors such as the altitude and the atmospheric pressure, but at sea level and at normal atmospheric pressure, water boils at exactly 100°C.
as the glacier melts, water travels toward the ocean along the geological feature labeled x. when water erodes soil along this feature, the feature will most likely become —
As the glacier melts, water travels toward the ocean along the geological feature labeled x. when water erodes soil along this feature, the feature will most likely become wider.
What transpires as soil erodes?Reduced soil fertility due to erosion can have a detrimental impact on agricultural output. Additionally, it pushes soil-saturated water downstream, which may result in thick layers of sediment that obstruct rivers and streams from flowing freely and finally cause flooding. The likelihood of soil erosion reoccurring increases after it occurs.
How can water destroy soil?When rain or snowmelt shifts the soil on the ground, water erosion occurs. More soil is moved or transported away when there is more water running across the ground. Water erosion is particularly dangerous on bare land, including farm areas that have been cleared of crops after harvest.
What consequences does water erosion have?For instance, water erosion leads to soil structure loss, surface crusting, waterlogging, a decrease in organic content, and the dissolution of stable aggregates. Soil resources quickly degrade in the face of such a barrage. Farming gets increasingly expensive and complex.
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nuclear decay occurs according to first-order kinetics. scandium-43 decays with a rate constant of 0.178 days–1. after 15.0 days, a sample has a mass of 1.73 g. what was the original mass of the sample?
According to the given statement 25 grams was the original mass of the sample.
What is mass in physics with example?The mass of matter that makes up every object or body is the greatest way to understand mass. Everything that we can see has mass. Examples of objects with mass include a table, a chair, an bed, a baseball, or glass, and even air. The mass of a thing determines whether it is light or heavy.
Briefing:The first order kinetics rate rule has the following expression:
Where k = rate constant = 0.178 days, t = 2.303/k * log(a/(a - x))
15 days have passed since the sample began, so t 1
a = the reactant's original or initial amount; a - x = the amount left over after the decay process; 1.73g
After plugging in all the values, we get 15=(2.303/0.178) A/1.73 = 10 * log (a/1.73) log (a/1.73) = 15 * 0.178/2.303 ( 15*0.178/2.303)
a = 1.73 * 10^( 2670/2303)\sa
= 1.73 * 10^(1.15935736)\sa
= 1.73 * 14.433024871\sa
= 24.9691330268
Consequently, a weighs about 25 grams.
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If the orbit of a rocket is a circle around the earth with a radius
= 8 x 105
m, and the mass of the earth is 5.97 x 1024 kg while
that of the rocket is 0.5 x 10% kg, then what is the speed of the
rocket under uniform circular motion (in m/S, G = 6.67 x 107 N
(m/kg) ?)
Speed of the rocket under uniform circular motion is 4.97 * 10^13 m/s.
We know that the orbital speed of a satellite is given by:
[tex]v_{0} = \sqrt{GM/r}[/tex]
Where, G = gravitational constant = 6.67 * 10^7 N
M = mass of earth = 5.97 * 10^24 Kg
r = distance of satellite from earth = 8 * 10^5 m
Putting these given values in above equation, we get
[tex]v_{0} = 4.97 * 10^{13} m/s[/tex]
The orbital speed does not depend upon the mass of object.
So the speed of the rocket under uniform circular motion around earth is
4.97 * 10^13 m/s.
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the galactic distances used to measure the acceleration of the uni- verse are determined by observations of
The studies of bursting white dwarfs are used to calculate the galactic distances that are used to quantify the expansion of the universe.
What use does acceleration serve?The ability to accelerate shows how rapidly an athlete can change their velocity after setting off at rest over a particular amount of time and over a certain distance. It is an essential ability for sprinting as well as other ball games.
What causes a speedup?An object's motion is altered by a net force; the larger this net force, the more acceleration there is. To speed at the same speed as less massive objects, higher net forces are needed.
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The complete question is-
The galactic distances used to measure the acceleration of the universe are determined by observations of
a) trigonometric parallax
b) line broadening
c) Cepheid variable stars
d) exploding white dwarfs
when the temperature of a 3.0-l sample of a gas is dropped from 200°c to 100°c, what will be the final volume of the gas sample?
The gas has a final volume of 2.4L.
What is the text of Lussac's law?According to Gay Lussac's Law, a gas's pressure is precisely proportional to its Kelvin temperature when maintained at a low volume. The molecule of a gas receive more energy when heated, causing them to move more quickly. This results in increased pressure and more blows on the container's walls.
Briefing:
Given, Initial Volume of the sample = 3L
Initial temperature of the sample, T₁ = 200° C
= 200 + 273
= 473 K
Final temperature of the sample, T₂ = 100° C
= 100 + 273
= 373 K
By Gay-Lussac's Law is a variant of the general gas equation,
From the above relation,
[tex]\frac{V_{1} }{T_{1} } = \frac{V_{2} }{T_{2} }[/tex]
[tex]V_{2} = \frac{V_{1}*T_{2} }{T_{1} }[/tex]
Substituting values,
[tex]V_{2}[/tex]= (3x 373) / 473
= 1119/473
= 2.4L
Hence ,it is found that the final volume of the gas is 2.4L
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A student determines the centre of mass of a piece of card. Fig. 3.1 shows the equipment the student uses.
Describe how the student determines the centre of mass of the card using the equipment in Fig. 3.1.
Based on the fact that the center of mass and the center of gravity in the parallel gravity field close to the earth's surface are the same. The experimental measurement of a body's center of mass makes use of gravity forces on the body.
What determine the center of mass of a piece of card?The center of mass is a point determined with respect to an object or group of objects. It shows the system's average location, weighted by the mass of each component.
The center of mass will always rest immediately underneath a shape if it is suspended from a single point.
Therefore, the center of mass is where two lines that are drawn down downward from two different places on a shape (one at a time) intersect.
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Substances, or matter, can exist in three different states at room temperature: solid, liquid, and gas. Compare a solid object, a liquid such as water, and air. Open the Notebook tool (), and answer these questions about solids, liquids, and gases:
How do they differ in feel?
How do they differ in how easily they change their shape?
How do they differ in how easily they change their volume?
Oxygen and carbon dioxide are examples of substances that exist as gases at room temperature, while water and mercury metal are examples of substances that exist as liquids. At room temperature, the majority of metals are solids. These three states are all possible for substances.
i) Solids are typically more dense than liquids, which are more dense than gases. There is not much room between the particles in the solid, which are touching. Although there are occasionally gaps between the particles in a liquid, they typically still touch. Large gaps exist between the gas particle.
ii) Because of the variations in their molecules, matter can exist in various states. Solids, for example, are predetermined in terms of size and shape. Contrarily, liquids can be molded to fit the shape of the container they are in because they are flexible. Last but not least, gases diffuse to completely fill the space.
iii) Solids are discrete in their shape and volume. Although they take on the shape of the container, liquids have a specific volume. The shape and volume of gases are ambiguous.
In what ways do they differ in solids, liquids, and gases?Depending on the shape of their container, a liquid and a gas will adapt their shape. In order to fit inside the container, a gas will change volume. In general, gases are less dense than liquids, which are less dense than solids. There is barely any distance between the particles in the solid from one another.
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A cup of coffee is on a table in an airplane flying at a constant altitude and a constant velocity. The coefficient of static friction between the cup and the table is 0. 30. Suddenly, the plane accelerates forward, its altitude remaining constant. What is the maximum acceleration that the plane can have without the cup sliding backward on the table?.
Therefore, the maximum acceleration the plane can experience without the cup sliding off the table backwards is 0.30g.
What is the static friction?A force that holds an object at rest is called static friction. The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across. When there is no relative motion between the object and the surface, static friction is a form of friction force that acts on the body. So, even when the body is moving, it can still act, but there shouldn't be any relative motion.
What is an example of a static friction?Consider moving a large, hefty box across the floor. You exert increasing pressure until the box begins to slide. The box is maintained in place by the static friction force. The static friction force pushes back slightly when you push it.
Briefing:The cup is not moving, therefore The cup has no net force. So, in the x direction, you have the following.
0 = ma - fs
Where an is the plane's acceleration less the static fiction force, and m is the mass of the cup. The static fiction force is zero because there isn't an inclination.
Fs = mus × m × g
Because mus is the coefficient of static friction (provided as 0.30), m is the mass of the cup, and g is gravity at the plane's altitude, rearranging the two equations and finding a should result in the desired result.
a = 0.30g
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