Final answer:
According to Boyle's law, the new volume of the alcohol in the flexible container at the bottom of the sea can be calculated using the equation V1P1 = V2P2, where V1 is the initial volume, P1 is the initial pressure, and P2 is the new pressure. By substituting the given values, we find that the new volume is 3.846x10⁻⁷ m³.
Explanation:
According to Boyle's Law, the volume of gas is inversely proportional to the pressure when the temperature is held constant. Therefore, we can use the equation V1P1 = V2P2 to find the new volume. Let's substitute the given values into the equation:
V1 = 1 L
P1 = atmospheric pressure = 1 atm
P2 = 2.6x10⁶ N/m²
Solving for V2, we have:
V2 = (V1 x P1) / P2
V2 = (1 L x 1 atm) / (2.6x10⁶ N/m²)
V2 = 3.846x10⁻⁷ m³
Therefore, the new volume of the alcohol in the flexible container at the bottom of the sea is 3.846x10⁻⁷ m³.
How many degrees of latitude is one nautical mile?
1.0
0.1
6
fraction: 1 over 60
A runner went from 6 m/s to 2 m/s in 2 seconds, what was the acceleration?
The runner's acceleration is -2 m/s², indicating deceleration at a rate of 2 meters per second squared over a period of 2 seconds.
The acceleration of a runner who goes from 6 m/s to 2 m/s in 2 seconds can be calculated using the formula for acceleration which is Δv/Δt, where Δv is the change in velocity and Δt is the change in time. In this case, Δv = final velocity - initial velocity = 2 m/s - 6 m/s = -4 m/s (the negative sign indicates deceleration). The time interval Δt is 2 seconds. Thus, acceleration a is calculated as:
a = Δv/Δt = (-4 m/s)/2 s = -2 m/s².
This indicates that the runner is decelerating at a rate of 2 meters per second squared.
Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1.50 μm2. Convert this to square meters.
A physicist found that a force of 0.72N was measured between two charged sphere. The distance between the sphere was 0.90 m. Calculate the force between the two sphere when the distance was decreased to 0.50 m.
Answer:
New force, F' = 2.33 N
Explanation:
It is given that,
A physicist found that a force of 0.72 N was measured between two charged sphere.
The distance between the spheres was, d = 0.9 m
We have to find the force between the two sphere when the distance was decreased to d' = 0.5 m
The force acting between two charged particles is given by :
[tex]F=k\dfrac{q_1q_2}{r^2}[/tex]
i.e. F is inversely proportional to the square of distance between the charges. Let F' is the force when distance is decreased.
So, [tex]\dfrac{F}{F'}=(\dfrac{d'}{d})^2[/tex]
[tex]\dfrac{0.72}{F'}=(\dfrac{0.5}{0.9})^2[/tex]
On solving, we get : F' = 2.33 N
Hence, on decreasing distance the force between the charges increases.
Five-gram samples of copper and aluminum are at room temperature. Both receive equal amounts of energy due to heat flow. The specific heat capacity of copper is 0.09 cal/g°C, and the specific heat capacity of aluminum is 0.22 cal/g°C. Which of the following statements is true?
a. The temperature of each sample increases by the same amount.
b. The aluminum will get hotter than the copper.
c. The copper will get hotter than the aluminum.
d. The temperature of each sample decreases by the same amount
m₁ = mass of sample of copper = m₂ = mass of sample of aluminum = 5 g
T = initial temperature of copper = initial temperature of aluminum
T₁ = final temperature of copper
T₂ = final temperature of aluminum
c₁ = specific heat of copper = 0.09 cal/g°C
c₂ = specific heat of aluminum = 0.22 cal/g°C
Since both receive same amount of heat, hence
Q₁ = Q₂
m₁ c₁ (T₁ - T) = m₂ c₂ (T₂ - T)
(5) (0.09) (T₁ - T) = (5) (0.22) (T₂ - T)
T₁ - T = (2.44) (T₂ - T)
Change in temperature of copper = (2.44) change in temperature of aluminum
hence the correct choice is
c. The copper will get hotter than the aluminum.
Answer: c. The copper will get hotter than the aluminum.
Explanation: Specific heat capacity of a substance is the amount of heat required to raise the temperature of 1 gram of water through [tex]1^0C[/tex]
As we know that,
[tex]Q=m\times c\times \Delta T[/tex]
m= mass
c = specific heat
[tex]\Delta T[/tex] = change in temperature
Given : [tex]Q_{Cu}=Q_{Al}[/tex]
mass of copper = mass of Aluminium= 5 g
[tex]c_{Cu}\times \Delta T_{Cu}=c_{Al}\times \Delta T_{Al}[/tex]
Now put all the given values , we get
[tex]0.09\times \Delta T_{Cu}=0.22\times \Delta T_{Al}[/tex]
Thus as specific heat capacity of copper is less, the temperature change will be more as they both are at same initial temperature.
In order for an object to accelerate, what must be applied?
Explanation:
According to Newton's second law of motion, the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
Mathematically, Force = mass × acceleration
or, Acceleration = [tex]\frac{Force}{mass}[/tex]
Thus, we can conclude that in order to accelerate an object, force must be applied. The object will accelerate in the direction in which force is applied.
In order for an object to accelerate, a net force must be applied to it. The net force determines the resulting acceleration of the object. The net force may come from various sources.
According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass
F = m × a,
If an object experiences a net force, it will undergo acceleration in the direction of the net force. Acceleration is the rate of change of velocity, so the object will either speed up, slow down or change direction.
The net force required to accelerate an object may come from various sources, such as applied forces, gravitational forces, frictional forces, or any other force acting on the object. The net force determines the resulting acceleration of the object.
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If a star is located 100 light years from Earth, what can you conclude about the light from the star? ...?
Answer:
Light from star would take 100 years to reach the Earth.
Explanation:
1 light year can be defined as the distance which light travels in one year in space.
1 light year = speed of light × 1 year
1 light year = 9.46 × 10¹⁵ m
A star at a distance of 1 light year means that observer on earth would see the first light from the star after 1 year.
If a star is located 100 light years from the Earth, the light from the star will reach the Earth in 100 years.
Suppose that a constant force is applied to an object. Newton's Second Law of Motion states that the acceleration of the object varies inversely with its mass. A certain force acting upon an object with mass 2kg produces an acceleration of 10ms^2 . If the same force acts upon another object whose mass is 5kg , what would this object's acceleration be?
The bending of wave crests as the reach shallow water is:
The bending of wave crests as they reach shallow water is called refraction, occurring alongside shoaling, which results in increased wave heights. Refraction is caused by the variation in wave speed due to different water depths. When waves become too tall relative to their wavelength, they break, often curling forward.
The bending of wave crests as they reach shallow water is known as refraction. This phenomenon occurs because different segments of the wave crest experience changes in wave speed due to the varying depths of water they encounter. The sections of a wave crest in deeper water travel faster compared to those in shallower water, causing the wave to bend and tend to align more parallel to the shoreline. As waves reach shallow water, there is also an increase in wave height due to the shoaling effect, where the energy of the wave is compressed into a smaller volume of water. The process of waves becoming more asymmetric and experiencing changes in their crest and trough structure is a result of both shoaling and refraction.
Moreover, when a wave 'touches bottom' in shallow water, the friction causes the wave to slow down and the wavelength to decrease while the wave height increases. When the wave height becomes too high relative to the wavelength, the wave becomes unstable and forms a breaker. The top part of the wave moves faster than the bottom, due to less friction encountered by the seafloor, often resulting in a forward curling motion as the wave breaks.
a bicycle has a momentum of 12 kgm/s. What momentum would the bicycle have if it had: a) half the mass and twice the speed
b) the same mass and half the speed
c) three times the mass and half the speed
d) three times the mass and twice the speed
Are GMO's Genetically modified organisms in plants?
What is the magnitude of the gravitational force the apple exerts on earth?
Which type of star will burn hydrogen in its core?
A. red giant
B. main sequence
C. black dwarf
D. neutron star
...?
A red train traveling at 72 km/hr and a green train traveling at 144 km/hr are headed toward one another along a straight level track. When they are 950 meters apart, each enginneer sees the other's train and applies the brakes. The brakes decelerate each train at the rate of 2.0 m/s^2. Is there a colllision? If so, what is the speed of each train at impact? If not, what is the separtion between the trains when they stop?
Which of these statements is correct about Newton's first law of motion?
A. It states the meanings of motion and force.
B. It justifies the meanings of motion and force.
C. It explains the relationship between motion and force.
D. It describes the relationship between motion and force.
Answer:
Answer D: It describes the relationship between motion and force.
Explanation:
The answer is D because a law is something that describes something in nature, but does not try to explain how or why is occurs (that is a theory). Options B and C sound more like theories, while option A sounds like a definition. Option D is correct because a law describes without explaining.
Final answer:
The correct statement about Newton's first law of motion is that it describes the relationship between motion and force. While related, the second law quantitatively establishes the cause and effect between force and changes in motion.
Explanation:
When examining Newton's laws of motion, it is important to understand the specific insights they provide about force and motion. Newton's first law of motion, often called the law of inertia, states that an object at rest will stay at rest, and an object in motion will remain in motion with the same speed and in the same direction unless acted upon by an unbalanced force. Given the options, the most accurate statement about Newton's first law of motion is:
D. It describes the relationship between motion and force.
Newton's second law of motion complements the first by providing a mathematical expression of the relationship between force, mass, and acceleration. This law is crucial because it quantifies the cause and effect of forces on objects and allows us to make predictions about how an object will move when a force is applied.
Carrie is making a presentation on solar winds. Her notes of the steps that must occur for solar winds to form are below.
1. The stream of electrically charged particles collide with gas atoms, causing the latter to give off light.
2. The electrically charged particles flow outward in all directions as far as Saturn.
3. The stream of electrically charged particles flows outward from the corona.
4. The particles of the solar wind flow along lines of the magnetic field.
Which shows the correct sequence in the formation of solar winds?
Carrie is making a presentation on solar winds. Her notes of the steps that must occur for solar winds to form are given then the correct sequence in the formation of solar winds would be 3 ⇒2⇒4⇒1.
What is solar energy?The energy transferred from the Sun in the form of electromagnetic radiation is known as the solar energy
It can be used as thermal energy for various life purposes as well as for electricity conversion with the help of solar photovoltaic cells,
As given in the problem Carrie is making a presentation on solar winds. Her notes of the steps that must occur for solar winds to form are below
1. The stream of electrically charged particles collides with gas atoms, causing the latter to give off light.
2. The electrically charged particles flow outward in all directions as far as Saturn.
3. The stream of electrically charged particles flows outward from the corona.
4. The particles of the solar wind flow along lines of the magnetic field.
Thus, the correct sequence in the formation of solar winds would be 3 ⇒2⇒4⇒1.
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Sarah owns a book store. She is planning to stock some books by a famous author. But she has a tight budget, and she is not sure whether to stock all the previous books by the author or only the latest ones. What is the scarce resource in this scenario?
When an electron moves from a lower to a higher energy level the electron?
Answer: This process absorbs energy.
Explanation:
There are two ways in which electrons can transition between energy levels:
Absorption spectra: This type of spectra is seen when an electron jumps from lower energy level to higher energy level. In this process, energy is absorbed.
Emission spectra: This type of spectra is seen when an electron jumps from higher energy level to lower energy level. In this process, energy is released in the form of photons.
So, when electron jumps from lower to higher energy level, it absorbs energy.
Suppose the initial position of an object is zero, and the object moves with constant acceleration. Which part of a velocity vs. time graph can be used to calculate the displacement of the object?
By definition, we have that the displacement of the object is given by:
[tex] r = \int\limits^t_0 {v} \, dt [/tex]
Where,
v: object velocity
dt: time differential
Therefore, since the integral of a function is the area under the curve of the function, then in a graph of velocity vs time, we have that the displacement is:
The area under the curve of the velocity vs. time graph.
Answer:
to calculate the displacement of the object we have to calculate:
The area under the curve of the velocity vs. time graph.
Which of the following best characterizes an electron?
A. negatively charged particle outside the nucleus of an atom
B. negatively charged particle within the nucleus of an atom
C. positively charged particle that carries electrical current
Which of the following best characterizes an electron?
A. negatively charged particle outside the nucleus of an atom
B. negatively charged particle within the nucleus of an atom
C. positively charged particle that carries electrical current
An electron is a negatively charged particle found outside the nucleus of an atom, responsible for the electrical properties and chemical behavior of atoms. Electrons orbit around the nucleus in specific energy levels or shells and carry electrical current.
Explanation:An electron is a negatively charged particle that is found outside the nucleus of an atom. It is one of the fundamental particles that make up an atom and carries a unit negative charge.
Unlike protons that are found in the nucleus and carry a positive charge, electrons orbit around the nucleus in specific energy levels or shells. These negatively charged particles are responsible for the electrical properties and chemical behavior of atoms.
For example, in electrical circuits, when electrons flow through a conductor, they carry electrical current. However, it is important to note that despite being negatively charged, electrons do not carry positive charge like a proton.
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An electron is best characterized by the following description A. Negatively charged particle outside the nucleus of an atom.
To explain further, an electron is a subatomic particle with a negative charge that resides in the electron orbital, which is outside the nucleus of an atom. It carries the smallest unit of negative charge, denoted by a charge of -1.
Electrons are fundamental components of atoms and play a crucial role in chemical reactions and the flow of electricity.
Which of the following is not true of the seasons?
A. The Earth is closer to the sun during the summer and farther away from the sun during the winter.
B. The seasons are caused the tilt of the Earth on its axis.
C. Summer does not start on the same day in every country on the Earth.
D. During the summer, days are longer.
The incorrect statement about seasons is A. Earth's proximity to the Sun does not cause the seasons; it is the tilt of Earth's axis that causes seasons. The question's primary focus is on dispelling the misconception that Earth's distance from the Sun determines seasonal changes.
The statement that is not true of the seasons is A. The Earth is closer to the sun during the summer and farther away from the sun during the winter. In fact, the Earth's distance from the Sun varies only by about 3%, which is not significant enough to cause the seasons. Moreover, during the Northern Hemisphere's winter in December, Earth is actually closest to the Sun. The seasons are instead caused by the Earth's 23.5-degree tilt on its axis, leading to varying angles and durations of sunlight exposure for different parts of the world as the Earth orbits the Sun.
The tilt causes one hemisphere to be more directly exposed to the Sun's rays, making it summer there, while the other hemisphere receives less direct sunlight and thus experiences winter. This is why the Southern and Northern Hemispheres have opposite seasons. Additionally, summer does not start on the same day in every country, and during the summer, days are indeed longer due to the tilt of the Earth.
If a turtle is hit by a boat and damage is done to its shell, is the injury able to heal? Identify the correct answer to this question and the correct names for the parts of the shell in the answer.
What net force is necessary to give a 2.0 kg mass initially at rest an acceleration of 5.0 m/s^2?
A. 0.40 N
B. 2.5 N
C. 7.0 N
D. 10. N
E. 20. N
In the morning, Margret drove to a business appointment at 50 mph. Her average speed on the return trip in the afternoon was 40 mph. The return trip took (1/4) hours longer because of heavy traffic. How far did she travel to the appointment? ...?
Final answer:
Margret traveled 50 miles to her appointment. To determine this, an equation using the relationship between time, distance, and speed was solved, taking into account that her return trip took 1/4 hour longer due to heavy traffic.
Explanation:
To solve this problem, we need to set up an equation using the concept of time, distance, and speed. Let d represent the distance to the appointment. The time taken to get to the appointment is d/50 hours, and the time taken to come back is d/40 hours. We are given that the return trip took (1/4) hours longer, which can be written as:
d/40 = d/50 + 1/4
To find the distance d, we solve this equation. Clear the fractions by multiplying everything by a common denominator, which is 200 in this case, to get:
5d = 4d + 50
This simplifies to d = 50 miles. Therefore, the distance Margret traveled to her appointment was 50 miles.
This problem is a classic example of using algebra to solve for a variable in a scenario involving average speed, and it emphasizes understanding the relationship between speed, distance, and time.
Car 1 drives 20 mph to the south, and car 2 drives 30 mph to the north. From the frame of reference of car 1, what is the velocity of car 2?
The velocity of car 2 from the frame of reference of car 1 will be 10 mph.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The given data in the problem is
The velocity of car 1, V₁ = 20 mph south
The velocity of car 2, V₂ = 30 mph north
From the frame of reference of car 1, the velocity of car 2 will be V₁₂
From the frame of reference of car 1, the velocity of car 2 will be;
V₁₂=V₂ - V₁
V₁₂= 30 mph - 20 mph
V₁₂= 10 mph
Hence, the velocity of car 2 from the frame of reference of car 1 will be 10 mph.
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30. Find the vector v with the given magnitude and the same direction as u.
||v|| = 3
u = (4,-4) ...?
What two-word term describes a low-pressure system of arctic air that's locked into the north pole and is associated with a social media trend from 2014?
the point upon which a lever turns (rotates) is called a
a) wedge
b)fulcrum
c)arm
d)inclined plane
A syrup added to an empty container with a mass of 115.25g . When 0.100 pint of syrup is added, the total mass of the container and syrup is 182.48g. Determine the density ...?
Final answer:
To find the density of syrup added to a container, we subtract the empty container's mass from the total mass to get the syrup's mass, convert the pint volume to mL, and divide the mass by the volume, resulting in a syrup density of 1.42 g/mL.
Explanation:
The question involves determining the density of syrup by first finding the mass of the syrup alone and then using its volume in pints. The mass of the empty container is given as 115.25 g, and the total mass of the container with syrup is 182.48 g.
To find the mass of the syrup alone, we subtract the mass of the container from the total mass, which gives us 67.23 g of syrup. To convert 0.100 pint to milliliters (mL), we use the conversion rate (1 pint = 473.176 mL), resulting in 47.3176 mL of syrup. Density is mass divided by volume, hence we divide 67.23 g by 47.3176 mL to get the density of the syrup.
Density calculation:
Mass of syrup = 182.48 g - 115.25 g = 67.23 gVolume of syrup (in mL) = 0.100 pint * 473.176 mL/pint = 47.3176 mLDensity of syrup = Mass / Volume = 67.23 g / 47.3176 mL = 1.42 g/mLTherefore, the density of the syrup is 1.42 g/mL.
What happens to an iron bar when it is placed within the coils of a solenoid
it becomes a magnet.
Explanation;When an iron bar is placed within the coils of a solenoid it becomes a magnet. This type of a magnet is called an electromagnet.An electromagnet is made by placing a ferromagnetic material such as iron in a solenoid of a closed circuit. Electromagnets are used in all kinds of electric devices including hard disk drives, generators, motors, etc.