A car, moving along a straight stretch of highway, begins to accelerate at 0.0323 m/s 2 . It takes the car 63.3 s to cover 1 km. How fast was the car going when it first began to accelerate? Answer in units of m/s.
The initial velocity of the car when it began to accelerate on a straight highway with a constant acceleration of 0.0323 m/s^2 over a period of 63.3 seconds to cover 1 km was approximately 14.77 m/s.
To find the initial velocity of the car when it began to accelerate, we can use the kinematic equation for uniformly accelerated linear motion:
[tex]( s = ut + \frac{1}{2}at^2\))[/tex]
Where \(s\) is the displacement, (u) is the initial velocity, (t) is the time, and (a) is the acceleration. Given that the car covered 1 km (or 1000 meters) in 63.3 seconds with an acceleration of (0.0323 m/s^2), we can plug these values into the equation and solve for (u).
[tex]\(1000 m = u \cdot 63.3 s + \frac{1}{2} \cdot 0.0323 m/s^2 \cdot (63.3 s)^2\)[/tex]
We first calculate the second term:
[tex]\(\frac{1}{2} \cdot 0.0323 m/s^2 \cdot (63.3 s)^2 = \frac{1}{2} \cdot 0.0323 m/s^2 \cdot 4006.89 s^2 = \approx 64.74 m\)[/tex]
Subtracting this from the total displacement:
[tex]\(1000 m - 64.74 m = 935.26 m\)[/tex]
Now we solve for (u):
[tex]\(935.26 m = u \cdot 63.3 s\)\\\(u = \frac{935.26 m}{63.3 s} = \approx 14.77 m/s\)[/tex]
Thus, the initial velocity of the car was approximately 14.77 m/s.
If a glass is knocked off of a table that is 1.4 m tall, how long does it take for the glass to hit the ground?
Sorry im having so much trouble can anyone help explain what to do
The formula we can use in this case would be:
h = vi t + 0.5 g t^2
where h is height, vi is initial velocity = 0 since started from rest, g is gravity
Therefore calculating for t:
1.4 m = 0.5 * 9.8 m/s^2 * t^2
t^2 = 0.2857 s^2
t = 0.53 seconds
Which type of mixture can be separated using distillation?
A compound with elements of different boiling points
Homogeneous mixture with components of different boiling points
A compound with elements of similar boiling points
Homogeneous mixture with components of similar boiling points
Answer:
B
Explanation:
Homogeneous mixture with components of different boiling points
Homo means it is not dissolved yet, making it easier to extract using distillation process.
A grinding wheel with a moment of inertia of 2 kg-m2 has a 2.50 N-m torque applied to it. What is its final kinetic energy 10 seconds after starting from rest?
312 J
237 J
156 J
106 J
a bionic man running at 6.5 m/sec , east is acceleration at a uniform rate of 1.5 m/sec^2 east over a displacement of 100.0 m east . what is the velocity he reaches after traveling this displacement
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Coal is generally formed from high heat and pressure turning _____________ into a fossil fuel. oil and natural gas are generally formed from high heat and pressure turning ______________ into a fossil fuel.
How do you rank graphs according to average velocity? I am currently stuck on problems 30 and 31
An outside thermometer reads 57°F. What is this temperature in °C? Round your answer to the nearest whole number.
Answer:
14°C
Explanation:
Temperature is the degree of hotness or coldness of an object. It is measured using an instrument called THERMOMETER. There are different units of measuring temperature which are interconvertible. The units are Fahrenheit (°F), Celsius (°C), Kelvin (K) etc.
In this question, the thermometer reads 57°F. To convert this temperature reading to °C, we use the formula:
[°C] = ([°F] − 32) × 5/9
Hence,
[°C] = (57− 32) × 5/9
[°C] = (25) × 5/9
[°C] = 125/9
= 13.888888
Hence, 57°F approximated to the nearest whole number will be 14°C.
1A, 3B, and 7A are examples of group ___ on the periodic table.
Name
Number
Periods
Row
Answer : The correct option is, Number
Explanation :
The periodic table is a type of table in which the element are systematically arranged on the basis of the atomic number.
The periodic table have the groups and periods. In the periodic table, there are 7 horizontal rows of elements are known as period and 18 vertical columns of elements are known as group.
Hence, 1A, 3B, and 7A are examples of group number on the periodic table.
Answer:
a. groups
Explanation:
The United States is currently a __________.
a.democracyB.monarchyC.democratic republicD.constitutional monarchy
You have a pumpkin of mass m and radius r. the pumpkin has the shape of a sphere, but it is not uniform inside so you do not know its moment of inertia. in order to determine the moment of inertia, you decide to roll the pumpkin down an incline that makes an angle θ with the horizontal. the pumpkin starts from rest and rolls without slipping. when it has descended a vertical height h, it has acquired a speed of v = √(5gh/4).
Which energy transformations BEST illustrates why people can walk? A) Chemical energy is being converted into light energy. B) Chemical energy is being converted into thermal energy. C) Chemical energy is being converted into mechanical energy. D) Chemical energy is being converted into more chemical energy.
The answer is letter c.
The explanation behind this is when human consumes a plant or when a human being eats an animal that ate a plant. The chemical energy kept in the plant (or animal) cells is progressed into the cells of the human's body. All of the body progressions, like ingestion, breathing, pumping blood, are driven by cells changing the kept chemical energy into heat and work, in a procedure called respiration. In the muscle cells of the human (or any animal), the chemical energy is converted into mechanical work and heat. The muscle pacts, the legs thrust, and the body jumps into the air.
C. Chemical to mechanical
If the earth's differentiation were any different, it may have affected its gravitational pull and_________ . Both of these factors were essential to creating our atmosphere.
A.) tectonic activity
B.) temperature
C.) heat transfer
Answer :
If the Earth's differentiation were any different, it may have affected its gravitational pull and tectonic activity.
The geological processes that resulted in change of interior structure of Earth is known as differentiation.
Tectonic Activity is the movement of tectonic plates in the earth crust which gives rise to the volcanic activities.
Therefore, tectonic activity such as volcanic activity are also essential to creating our atmosphere by participating in the various atmospheric cycles.
Hence, The correct answer is A.) Tectonic Activity
Which type of plate motion is characteristic of a transform boundary?
A transform border has horizontal tectonic plate movement. Stress and earthquakes along the boundary result from the plates sliding past one other in different directions.
A transform border is characterised by horizontal movement of tectonic plates. Lateral shearing occurs when the plates move oppositely parallel to the boundary. As the plates grind, earthquakes occur. Transform boundaries link mid-ocean ridge segments on the ocean floor.
The most famous example is the San Andreas Fault in California, where the Pacific Plate and North American Plate move past each other. Unlike convergent and divergent borders, transform barriers do not build or destroy crust. Instead, it links the spreading centres of divergent borders to the subduction zones of convergent boundaries, which is fundamental to plate tectonics and Earth's geological processes.
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1. Which statement about subatomic particles is not true?
Protons and electrons have opposite charges.
Neutrons have no electrical charge.
Protons and neutrons have the same charge.
Protons and neutrons have nearly the same mass.
2.
Which term describes the sum of the number of protons and neutrons in an atom?
mass number
nuclear charge
atomic charge
atomic number
3.
Which is not part of John Dalton’s atomic theory?
All elements are composed of atoms.
Atoms are made up of smaller particles.
Atoms of different elements have different masses.
4.
All atoms of the same element have the same mass.
Dalton’s model of an atom is best described as _____.
a scoop of chocolate chip ice cream
a solar system
a cloud
a solid sphere
5.
Who provided the first evidence that atoms contain subatomic particles?
J. J. Thomson
Ernest Rutherford
John Dalton
6.
Which statement about electrons and atomic orbitals is not true?
An atom’s lowest energy level has only one orbital.
An electron has the same amount of energy in all orbitals.
An electron cloud represents all the orbitals in an atom.
An orbital can contain a maximum of two electrons.
7.
How is heavy water different from normal water?
A hydrogen atom in heavy water has an extra proton.
A hydrogen atom in heavy water has an extra neutron.
An oxygen atom in heavy water has an extra neutron.
An oxygen atom in heavy water has an extra proton.
8.
What experimental evidence did Thomson use to support his hypothesis that atoms are made up of even smaller, charged particles?
The glowing beam was always deflected by charged plates.
Identical particles were produced no matter which metal he used.
The particles all had the same mass as a hydrogen atom.
9.
Atoms may emit light energy when _____.
electrons move to a higher energy level
protons move to a higher energy level
protons move to a lower energy level
electrons move to a lower energy level
10.
Which term describes the region in which an electron is most likely to be found?
isotope
path
orbital
cloud
11.
According to Dalton, if 2 grams of element X combine with 4 grams of element Y to form compound XY, how many grams of element X would combine with 28 grams of element Y to form the same compound?
28
14
7
56
12.
An electron is a particle with a _____.
positive charge, found outside the nucleus
negative charge, found in the nucleus
positive charge, found in the nucleus
negative charge, found outside the nucleus
13.
The glow of a neon light is caused by electrons emitting energy as they _____.
move from higher to lower energy levels
collide with the nucleus
move from lower to higher energy levels
collide with other electrons
14.
To find the number of neutrons in an atom, subtract its _____.
atomic number from its mass number
mass number from its atomic number
isotope number from its atomic number
15.
Which is the best analogy describing the location of an electron in an atomic orbital?
pins on a map plotting your location every minute of a school day
the path of a bee moving from flower to flower in a garden
free-thrown basketballs bouncing on a basketball court
1. Protons and neutrons have the same charge.
Protons have positive charge, equal to [tex]e=+1.6\cdot 10^{-19} C[/tex], while neutrons have zero charge.
2. mass number
The mass number of an atom is equal to the sum of protons and neutrons inside its nucleus.
3. Atoms are made up of smaller particles.
According to Dalton's theory, atoms are the smallest particles that make matter, and they are indivisible and indestructible, so they are NOT made up of smaller particles.
4. a solid sphere
In Dalton's theory, atoms are not made of smaller particles, so we can think them as solid spheres.
5. J. J. Thomson
In his experiment with cathode ray tubes, JJ Thomson demonstrated the existance of the electrons, which are negatively charged particles inside the atom. In his model of the atom (plum-pudding model), Thomson thought the atom consists of a uniform positive charge and the electrons are located inside this positive charge.
6. An electron has the same amount of energy in all orbitals.
In fact, each orbital corresponds to a different energy level: the farther the orbital from the nucleus, the higher the energy of the electrons contained in that orbital.
7. A hydrogen atom in heavy water has an extra neutron.
Heavy water is a type of water that contains deuterium, which is an isotope of the hydrogen consisting of one proton and one neutron (so, one extra neutron).
8. The glowing beam was always deflected by charged plates
In his cathode's ray tube experiment, Thomson shows that the beam of unknown particles (= the electrons) were deflected by charge plates, so the particles had to be also electrically charged.
9. electrons move to a lower energy level
When electrons move from a higher energy level to a lower energy, they emit a photon (light) of energy equal to the difference in energy between the two energy levels.
10. orbital
In quantum mechanics, electrons in the atom are not precisely located, since we cannot determine their exact position and velocity at the same time. Therefore, we can only describe regions of space where the electrons have a certain probability to be found, and these regions of space are called orbitals.
11. 14
According to Dalton's theory, the proportions of the reactants must be respected in order to form the same compound. Therefore, we can write:
[tex]2 g: 4 g = X : 28 g\\X=\frac{2 g \cdot 28 g}{4 g}=14 g[/tex]
12. negative charge, found outside the nucleus
Electrons are particles with negative charge of magnitude [tex]e=-1.6\cdot 10^{-19}C[/tex] that orbit around the nucleus. The nucleus, instead, consists of protons (positively charged, with charge opposite to the electron) and neutrons (neutrally charged).
13. move from higher to lower energy levels
When electrons move from a higher energy level to a lower energy inside a neon atom, they emit a photon (which is light) whose energy is equal to the difference in energy between the two energy levels.
14. atomic number from its mass number
In fact:
- the atomic number of an atom (Z) is equal to the number of protons inside the nucleus
- the mass number of an atom (A) is equal to the sum of protons+neutrons inside the nucleus
Therefore, we can find the number of neutrons in the nucleus by calculating the difference between A and Z:
Number of neutrons = A - Z
15. None of them
None of these examples is a good analogy to describe the location of an electron in an atomic orbital: in fact, the position of an electron in an orbital cannot be precisely described, we can only describe the probability to find the electron in a certain position, and none of these example is an analogy of this model.
Answer:
What experimental evidence did Thomson use to support his hypothesis that atoms are made up of even smaller, charged particles?
Identical particles were produced no matter which metal he used. Gradpoint ! just took test.
When a basketball player dribbles a ball, it falls to the floor and bounces up. Is a force required to make it bounce? Why? If a force is needed, what is the agent involved?
Answer: The ball exerts a force on the ground, which exerts an equal and opposite force on the ball.
Explanation: Newton’s Third Law applies here. When the ball hits the ground, it exerts a force on the ground. The ground pushes the ball back up with an equal and opposite force, returning it to the player's hand and allowing him to dribble.
The string constrains the rotational and translational motion of the falling cylinder, given that it doesn't slip. what is the relationship between the magnitude of the angular velocity ω and that of the velocity v of the center of mass of the cylinder? express ω in terms of v and r.
Final answer:
The magnitude of the angular velocity (ω) is directly proportional to the velocity (v) of the center of mass of a non-slipping cylinder, expressed mathematically as ω = v / r.
Explanation:
The relationship between the magnitude of the angular velocity (ω) and the velocity (v) of the center of mass of a non-slipping falling cylinder is directly proportional through the radius (r) of the cylinder. Mathematically, this relationship is given by ω = v / r. This is because when a cylinder rolls without slipping, every point on the rim of the cylinder moves with a tangential velocity equal to the translational velocity of the center of mass. Similarly, each point on the rim completes one full rotation as the cylinder moves a distance equal to its circumference. This means that the linear distance traveled by the center of mass for one full rotation is equal to the circumference of the cylinder (2πr), which corresponds to the rotational motion described by the angular velocity ω.
Describe how mass and distance affect gravitational force?
Explanation:
The Newton's law of gravitation gives the force acting between two bodies when they are separated by some distance. Mathematically, it is given by :
[tex]F=G\dfrac{m_1m_2}{d^2}[/tex]
It shows that the gravitational force is directly proportional to the product of masses of two bodies and inversely proportional to the square of distance between them.
So, as the mass of bodies increases, the gravitational force increases and with the increase of distance between them, the gravitational force decreases.
A tight metal lid on a glass jar of jam may loosen if the lid is held under hot water for few minutes. This is because the water causes the ________.
A tight metal lid on a glass jar of jam may loosen if the lid is held under hot water for a few minutes. This is because the water causes the expansion of metal.
What is Heat?When there are temperature differences, heat is transferred from one object to another. When two bodies of different temperatures are brought together, heat transfers from the warmer to the colder body.
The heat of the hotter body often drops and the heat of the region of lower temperature rises as a result of this energy transfer, though it is not always the case.
A substance can absorb more heat without warming up if it changes from one steady position to another or from one physical situation to another, such as melting from a solid to a liquid, melting from solids to a vapor, boiled from a liquid to something like a vapor, or cycling through this one.
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A mobile phone is pulled northward by a force of 10 n and at the same time pulled southward by another force of 15 n. the resultant force on the phone is
If the density of iron is 7.87 g/cm3, what is the volume of the 12.00 g piece of iron? use proper significant figures.
which type of friction keeps a pile of rocks from falling apart?
Answer:
Static friction
Explanation:
Friction is a force which opposes the motion of one object moving relative to another. static friction and kinetic friction are the two type of friction.
Static friction is that type of friction which keeps an object at rest. Force must be applied greater than static friction to move an object. Therefore it is the static friction which helps the pile of rocks from falling apart.
A helium-filled balloon is launched when the temperature at ground level is 27.8°c and the barometer reads 752 mmhg. if the balloon's volume at launch is 9.47 × 10^{4} 4 l, what is the volume in liters at a height of 36 km, where the pressure is 73.0 mm hg and temperature is 235.0 k? (enter your answer using either standard or scientific notation. for scientific notation, 6.02 x 10^{23} 23 is written as 6.02e23.
The volume of the helium-filled balloon at a height of 36 km, under the conditions given, can be calculated using the Combined Gas Law, and it is approximately 9.47 × 10^7 liters.
Explanation:To calculate the volume of the helium-filled balloon at a height of 36 km, where the pressure is 73.0 mmHg and the temperature is 235.0 K, we can use the Combined Gas Law. This law combines the three gas laws: Boyle's Law, Charles's Law, and Gay-Lussac's Law. It is represented by the formula:
P1 * V1 / T1 = P2 * V2 / T2
Where:
P1 = initial pressure
V1 = initial volume
T1 = initial temperature (in Kelvin)
P2 = final pressure
V2 = final volume (unknown)
T2 = final temperature (in Kelvin)
To apply the Combined Gas Law to our scenario, we must first convert the initial temperature to Kelvin:
T1 = 27.8°C + 273.15 = 300.95 K
Now we can plug in the values:
(752 mmHg * 9.47 × 10^4 L) / 300.95 K = (73.0 mmHg * V2) / 235.0 K
By rearranging the formula to solve for V2, the final volume, we get:
V2 = (752 mmHg * 9.47 × 10^4 L * 235.0 K) / (73.0 mmHg * 300.95 K)
After performing the calculations:
V2 = 9.47 × 10^7 L approximately (the exact answer depends on the precision of the calculations and the rounding)
Thus, the volume of the balloon at 36 km would be approximately 9.47 × 10^7 liters.
A 60 kg woman stands in an elevator that is accelerating downward at 3.1 m/s2. Calculate the amount of force she exerts on the elevator floor.
Using Newton's second law of motion, the force exerted by the 60 kg woman in a downward accelerating elevator is calculated as 774 N (Newtons) directed downward.
Explanation:In order to calculate the force a person exerts on the elevator floor, we need to use Newton's second law of motion, which states that the force applied on an object equals its mass times its acceleration (F=ma). In this situation, the acceleration is determined by both gravity (9.8 m/s² downward) and the elevator (3.1 m/s² downward), which adds up to a total of 12.9 m/s² downward. Therefore, the force exerted by the 60 kg woman on the elevator floor is her mass times this total acceleration, or F = (60 kg) * (12.9 m/s²), which equals 774 N (Newtons) directed downward.
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How to calculate elastic potential energy?
Final answer:
The elastic potential energy stored in a system can be calculated using the formula PEel = (1/2)kx², where k is the spring's force constant and x is the displacement from the equilibrium position.
Explanation:
The elastic potential energy stored in a system described by Hooke's law can be calculated using the formula: PEel = (1/2)kx². Here, PEel represents the elastic potential energy, k is the spring's force constant, and x is the displacement from the equilibrium position. To calculate the elastic potential energy, you need to know the force constant and the displacement of the system.
For example, if you have a spring with a force constant of 120 N/m and a displacement of 0.030 m, you can calculate the potential energy using the formula PE = (1/2)(120 N/m)(0.030 m)² = 0.0541 J.
Conduction, convection, and radiation are ways by which,
energy can be transferred.
the answer is THERMAL
Answer:
Conduction, convection, and radiation are ways by which thermal energy can be transferred.
Explanation:
just answered it
The number of significant figures on the measurement 0.050010 kg id
The number of significant figures on the measurement of 0.050010 kilograms would be five significant figures as the left-most zeros are not significant but the zeros in between of non zero digits are significant as well as the zeros on the right after the decimal point are significant.
What are significant figures?In positional notation, significant figures refer to the digits in a number that is trustworthy and required to denote the amount of something, also known as the significant digits, precision, or resolution.
Five significant figures would be needed to represent the measurement of 0.050010 kilos since the leftmost zeros are not significant, but the zeros between non-zero digits and the zeros to the right of the decimal point are.
Thus, there are five significant figures in the given measurement.
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Suppose that the acceleration of an object is zero. Does this mean that there are no forces acting on the object? Give an example of a everyday situation
No, if the acceleration of an object is zero, it doesn't mean that there are no forces acting on the object.
If the acceleration of an object is zero, it does not necessarily mean that there are no forces acting on such an object.
As a matter of fact, the sum of the force acting on a static body is zero that is why the body is not accelerating.
The body is not only accelerating because all the forces acting on such object has the same magnitude.
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If you punch holes in the side of a container filled with water, in what direction does the water initially flow outward from the container?
There are four major auto routes from boston to detroit and six from detroit to los angeles. how many major auto routes are there from boston to los angeles via de-troit
To find the number of major auto routes from Boston to Los Angeles via Detroit, multiply the number of routes from Boston to Detroit and the number of routes from Detroit to Los Angeles.
Explanation:To find the number of major auto routes from Boston to Los Angeles via Detroit, we can use the multiplication principle.
There are 4 routes from Boston to Detroit and 6 routes from Detroit to Los Angeles. To find the number of routes from Boston to Los Angeles via Detroit, we multiply the number of routes from Boston to Detroit and the number of routes from Detroit to Los Angeles.
Therefore, there are 4 * 6 = 24 major auto routes from Boston to Los Angeles via Detroit.
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