A diver with a mass of 70.0 kg stands motionless at the top of a diving platform 3.0 m high. The diver’s initial vertical speed is zero. What is the diver’s potential energy relative to the water surface?
Final answer:
The diver's potential energy relative to the water surface, calculated using the formula PE = mgh with given values, is 2058 Joules.
Explanation:
To calculate the diver's potential energy relative to the water surface, we use the formula for gravitational potential energy, which is PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s2), and h is the height above the reference point (in this case, the water surface).
Given a diver with a mass of 70.0 kg standing 3.0 m high above the water, the calculation would be as follows:
PE = (70.0 kg) * (9.8 m/s2) * (3.0 m) = 2058 Joules.
Therefore, the diver's potential energy relative to the water surface is 2058 Joules.
Jessie draws a ray diagram to show how an image of a candle is produced by a concave mirror when the candle is placed in front of the center of curvature. Jessie thinks the image should be virtual and behind the mirror.
Which best describes Jessie’s error?
The object should be placed anywhere on the principal axis.
The object should be at the center of the curvature.
The object should be between the center and vertex.
The object should be between the focal point and vertex.
On Edge, the answer is D.
which of the following best describes the noble gases?
have an outer electron shell that needs only 1 electron
are highly reactive
have a full outer electron shell
combine easily with other elements
If an object has a volume of 2 milliliters and a mass of 10 grams, calculate the density of the object.
If a neutral atom has a mass of 15 amu and an atomic number of 7, determine the number of protons, neutrons, and electrons in the atom.,
Which statement accurately compares the weight of an object on these two planets
If an element has 10 electrons, how many of them will be in the 2nd energy level?
Answer:
If an element has 10 electrons, 8 of them will be in the second energy level.
Explanation:
There are 7 energy levels, numbered from 1 to 7, and in which electrons are distributed, logically in order according to their energy level.
Each level is divided into sub-levels. These sub-levels into which each level is divided can be up to 4, which are called: s, p, d, f. In the sub-level s there can only be a maximum of 2 electrons, in p there can be a maximum of 6 electrons, in the sub-level d 10 electrons and finally in the sub-level f there can be a maximum of 14 electrons.
In level 1 there is only one sub-level, which will be the s. In level 2 there are 2 sub-levels, the s and the p. At level 3 there are 3 sub-levels s, p and d. And at level 4 there are 4 sub-levels, the s, the p, the d and the f.
Then, in level 1 there is only a maximum two electrons. In level 2 there are a maximum of 8 electrons. At level 3 there are a maximum of 18 electrons. And at level 4 there are a maximum of 32 electrons.
The filling of the orbitals occurs in increasing order of energy, that is, from the orbitals of lower energy to those of higher energy.
So, considering that at level 1 there can only be two electrons and that it is the lowest energy level, 2 of the 10 electrons that the element has will be located at that level. So 8 electrons remain to be located.
The next level to fill with electrons is 2. As this level can enter a maximum of 8 electrons, the electrons that remained to be located in level 1 will be located in level 2.
If an element has 10 electrons, 8 of them will be in the second energy level.
How does the usable form of nitrogen enter our bodies?
A.)by breathing in air
B.)by consuming plants
C.)by consuming water
D.)by burning fuel
Answer: B.)by consuming plants
Explanation:
There is about 78% nitrogen is available in the atmosphere. But living beings such as plants does not absorb it directly from the air. Instead they absorb the compounds of nitrogen from the soil. The soil bacteria convert the nitrogen oxides into ammonia, nitrates and nitrites in the soil in this way these bacteria fix atmospheric nitrogen into the soil. The plants absorb these forms of nitrogen, which are essentially required for the synthesis of proteins and nucleic acids. Nitrogen as an element becomes essential ingredients in all biomolecules. We humans and animals eat plants and through them the usable form of nitrogen in the form of biomolecules enters the body.
Answer:
the correct answer is B. by consuming plants
Explanation:
Suppose a star the size of our Sun, but of mass 8.0 times as great, were rotating at a speed of 1.0 revolution every 12 days. If it were to undergo gravitational collapse to a neutron star of radius 12 km, losing 3/4 of its mass in the process, what would its rotation speed be? Assume the star is a uniform sphere at all times.
(a) Assume that the thrown-off mass carries off no angular momentum, in rev/s
(b) Assume that the thrown-off mass carries off its proportional share (3/4) of the initial angular momentum, in rev/s
(a) The final angular velocity [tex](\(\omega_2\))[/tex] of the neutron star is approximately [tex]\(1.42 \times 10^{-5}\)[/tex] rad/s.
(b) The final angular velocity [tex](\(\omega_2'\))[/tex] of the neutron star is approximately [tex]\(3.54 \times 10^{-6}\)[/tex] rad/s.
**(a) Assume that the thrown-off mass carries off no angular momentum:**
1. Calculate the initial moment of inertia [tex](\(I_1\)):[/tex]
[tex]\[I_1 = \frac{2}{5} \cdot (8 \cdot \text{mass of the Sun}) \cdot (\text{radius of the Sun})^2\][/tex]
The mass of the Sun is approximately [tex]\(2 \times 10^{30}\)[/tex] kg, and the radius of the Sun is approximately 6.96 x [tex]10^8[/tex] meters. Calculate [tex]\(I_1\): \[I_1 = \frac{2}{5} \cdot (8 \times 2 \times 10^{30} \text{ kg}) \cdot (6.96 \times 10^8 \text{ m})^2\][/tex]
This gives [tex]\(I_1 \approx 3.06 \times 10^{40}\) kg m^2.[/tex]
2. Calculate the initial angular velocity [tex](\(\omega_1\)):[/tex]
The rotation period is 12 days, which is equivalent to [tex]\(12 \times 24 \times 60 \times 60\)[/tex] seconds. Calculate
[tex]\(\omega_1\): \[\omega_1 = \frac{2\pi}{12 \times 24 \times 60 \times 60} \text{ rad/s}\][/tex]
This gives [tex]\(\omega_1 \approx 1.99 \times 10^{-7}\) rad/s.[/tex]
3. Calculate the initial angular momentum [tex](\(L_1\)): \[L_1 = I_1 \cdot \omega_1 = (3.06 \times 10^{40}\, \text{kg·m²}) \cdot (1.99 \times 10^{-7}\, \text{rad/s})\][/tex]
This gives [tex]\(L_1 \approx 6.11 \times 10^{33}\) kg m^2/s.[/tex]
4. Calculate the final moment of inertia [tex](\(I_2\)):[/tex]
The final radius of the neutron star is 12 km, which is equivalent to 12,000 meters. Calculate [tex]\(I_2\):[/tex]
[tex]\[I_2 = \frac{2}{5} \cdot (3/4 \cdot \text{mass of the Sun}) \cdot (12,000 \text{ m})^2\] \[I_2 = \frac{2}{5} \cdot (3/4 \cdot 2 \times 10^{30}\, \text{kg}) \cdot (12,000\, \text{m})^2\][/tex]
This gives [tex]\(I_2 \approx 4.32 \times 10^{38}\)[/tex] kg·m².
5. Use the conservation of angular momentum [tex](\(L_1 = L_2\))[/tex] to find the final angular momentum [tex](\(L_2\)): \[L_2 = L_1 = 6.11 \times 10^{33}\, \text{kg·m²/s}\][/tex]
6. Calculate the final angular velocity [tex](\(\omega_2\))[/tex] of the neutron star:
[tex]\[\omega_2 = \frac{L_2}{I_2} = \frac{6.11 \times 10^{33}\, \text{kg·m²/s}}{4.32 \times 10^{38}\, \text{kg·m²}}\][/tex]
This gives [tex]\(\omega_2 \approx 1.42 \times 10^{-5}\)[/tex] rad/s.
**(b) Assume that the thrown-off mass carries off its proportional share (3/4) of the initial angular momentum:**
1. Calculate the final angular momentum [tex](\(L_2'\))[/tex] considering that 3/4 of the initial angular momentum is carried away by the mass that is thrown off during the collapse:
[tex]\[L_2' = (1 - \frac{3}{4}) \cdot L_1 = (1 - 0.75) \cdot 6.11 \times 10^{33}\, \text{kg·m²/s}\][/tex]
This gives [tex]\(L_2' \approx 1.53 \times 10^{33}\, \text{kg·m²/s}\).[/tex]
2. Calculate the final angular velocity [tex](\(\omega_2'\))[/tex] of the neutron star:
[tex]\[\omega_2' = \frac{L_2'}{I_2} = \frac{1.53 \times 10^{33}\, \text{kg·m²/s}}{4.32 \times 10^{38}\, \text{kg·m²}}\][/tex]
This gives [tex]\(\omega_2' \approx 3.54 \times 10^{-6}\)[/tex] rad/s.
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What will happen if you rub two different materials together?
The surface pressures at the bases of warm and cold columns of air are equal. air pressure in the warm column of air will ______ with increasing height __________ than in the cold column.
What voltage would be measured across the 45 ohm resistor?
Answer:
C) 9.0 volts
Explanation:
Wave A has an amplitude of 2, and wave B has an amplitude of 2. What will happen when the crest of wave A meets the trough of wave B?
They will interfere to create a crest with an amplitude of 0.
They will interfere to create a crest with an amplitude of 2.
They will interfere to create a crest with an amplitude of 4.
They will bounce off each another.
Answer:
They will interfere to create a crest with an amplitude of 0.
Explanation:
It is given that,
Wave A has an amplitude of 2, and wave B has an amplitude of 2. The superposition of two waves is called interference of wave. When the resultant wave have maximum amplitude is called constructive interference while when the amplitude of resultant completely destructs, the destructive interference happens.
When the crest of wave A meets the trough of wave B, then destructive interference occurs. the phase difference will be 180°. There resultant is given by :
[tex]R=\sqrt{A^2+B^2+2ABcos(180)}[/tex]
R = A - B
Here A = 2 and B = 2
⇒ R = 0
Hence, the correct option is (a) "They will interfere to create a crest with an amplitude of 0".
Four wires meet at a junction. it is assumed that two currents, i1 and i4, enter the node. an ammeter records a value of +4a for i1. currents i2 and i3 are travelling out of the node. i2 has 3a running through it, and i3 has 0.5 a running through it. what is the current in i4?
The pH of acid rain would be _____. greater than 7 less than 7 exactly 7 exactly 14
Answer:
Less than 7.
Explanation:
pH scale in chemistry is used to measure the concentration of hydrogen ion. In other words, it is used to measure the extent of acidity or alkalinity of any solution. The pH scale having numbers that range from 0 to 14. The acidic solution has a lower pH value while the basic solution has a higher pH. The pH value of pure water is 7.
As the name implies acid rain, it is formed by the combination of sulfur and nitrogen oxides. The pH of acid rain is less than 7. Typically its value is 4.
This is a large, rocky body found in space. It often orbits the sun in a belt between Mars and Jupiter.
Final answer:
Asteroids are rocky bodies in space that mostly orbit the Sun within the asteroid belt, located between Mars and Jupiter. They vary in size and are classified by composition as C-type, S-type, or M-type. The largest asteroid and dwarf planet in this belt is Ceres.
Explanation:
The large, rocky bodies that are often found orbiting the sun in a belt between Mars and Jupiter are known as asteroids. The region where most asteroids are found is called the asteroid belt, and this area extends from 2.2 to 3.3 AU from the Sun. Asteroids are mainly remnants of the initial solar system that existed before the planets formed, ranging from a few centimeters to hundreds of kilometers in size. While most asteroids reside within the asteroid belt, they are spread out with significant empty space between them, making navigation for spacecraft like Galileo and Cassini feasible.
Asteroids are classified into different types: C-type (carbonaceous), S-type (stony), and M-type (metallic). The largest known asteroid is Ceres, which is also classified as a dwarf planet. Understanding asteroids is important for planetary defense as well as for exploring the solar system's past.
A __________ sign on a truck means that the load on the truck is potentially dangerous.
A hazardous sign on a truck means that the load on the truck is potentially dangerous.
A hazardous sign on a truck means that the load on the truck is potentially dangerous. These signs are part of a system of hazard communication that includes symbols, labels, and placards to quickly and effectively convey information about the hazards of the materials being transported. The use of such signs is essential for the safety of everyone on the road, including the truck driver, other motorists, emergency responders, and the general public. It helps to ensure that appropriate precautions are taken when handling, transporting, and in the event of an accident involving, these materials.
Degausser creates a magnetic field that erases data from magnetic storage media.
a. True
b. False
Which of the following is true of energy? A. Energy can be created. B. Energy can be destroyed. C. Energy is constantly increasing. D. Energy is conserved.
A solid uniform-density sphere is tied to a rope and moves (without spinning) in a circle with speed 7 m/s. The distance from the center of the circle to the center of the sphere is 1.8 m, the mass of the sphere is 6 kg, and the radius of the sphere is 0.89 m. The angular speed, w=5.62. What is the rotational kinetic energy of the sphere?,
The rotational kinetic energy of the sphere in a circular path (without spinning) is calculated using given parameters such as mass, radius, and angular speed, and the resultant rotational kinetic energy is approximately 227.03 Joules.
Explanation:Answer
For the sphere, when it moves in a circular path without spinning, its rotational kinetic energy (K) is zero, because there's no internal rotation where the points in the body are moving through some angle due to spinning. However, if you are considering the entire motion of the system, then you could argue that there's rotational kinetic energy due to the rotation of the center of the circle. This is really a translational motion but in a circular path. The rotational kinetic energy can then be calculated using the equation, K = 1/2 (mr^2)w^2, where m is the mass of the sphere, r is the distance from the center of the circle to the center of the sphere, and w is the angular speed (not the angular velocity of the sphere itself if it was spinning). Lastly, substituting the known values: m=6 kg, r=1.8 m, and w=5.62 rad/s, we find that K = 1/2 * (6kg) * (1.8m)^2 * (5.62 rad/s)^2 = 227.0268 Joules.
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The rotational kinetic energy of the sphere is 30.03 Joules. This is calculated using the formula [tex]KE_{rot} = 0.5 \times I \times w^2[/tex], where I is the moment of inertia of the sphere and w is its angular speed.
To find the rotational kinetic energy of the sphere, we use the formula for rotational kinetic energy: [tex]KE_{rot} = 0.5 \times I \times w^2[/tex].
Where:
I - moment of inertia of the spherew - angular speedFor a solid sphere, the moment of inertia is given by:
[tex]I = (2/5) \times m \times R^2[/tex]
Substituting the given values:
[tex]I = (2/5) \times 6 kg \times (0.89 m)^2\\I = (2/5) \times 6 kg \times 0.7921 m^2\\I = 1.901 kg\cdot m^2[/tex]
Now, using the angular speed w = 5.62 rad/s:
[tex]KE_{rot} = 0.5 \times 1.901 kg\cdot m^2 \times (5.62 rad/s)^2\\KE_{rot} = 0.5 \times 1.901 kg\cdot m^2 \times 31.5844 rad^2/s^2\\KE_{rot} = 30.03 J[/tex]
Therefore, the rotational kinetic energy of the sphere is 30.03 Joules.
How are ocean ridges formed
2. Lower latitudes tend to have __________. (Points : 1)
lower average temperatures than higher latitudes
the same temperatures as higher latitudes
higher average temperatures than higher latitudes
you can't compare temperatures without including pressure data
Answer:
Higher average temperatures then higher latitudes. I TOOK THE TEST!
Explanation:
A gas has a volume of 300 ml at 300 kpa. what will its volume be if the pressure is changed to 600 kpa?
When you hold a warm bowl, the temperature of your palms of your hands increases this is example of
How can an electron in an atom lose energy to go from a higher energy level to a lower energy level? select one:
a. it exchanges gravitational potential energy for kinetic energy.
b. it loses gravitational potential energy.
c. it releases a photon equal in energy to its own energy drop.
d. it absorbs a photon equal in energy to its own energy drop.
e. it loses kinetic energy?
How many neutrons does element X have if its atomic number is 36 and its mass number is 74?
The force due to gravity between two objects can be described using the equation fg = g m1 m2 / d2. according to this equation, if the distance between two objects increases, what happens to the gravitational force between them?
Increasing the distance between two objects decreases the gravitational force between them because the force is inversely proportional to the square of the distance.
According to the equation fg = G m1 m2 / d2, when examining the gravitational force (fg) between two objects, we look at two key factors: the product of their masses (m1 and m2) and the square of the distance between them (d2). The gravitational force is directly proportional to the product of their masses, meaning if the masses increase, the force increases. However, it is inversely proportional to the square of the distance between them, meaning if the distance (d) increases, the gravitational force decreases.
To illustrate this principle, if the distance between two objects is increased, the gravitational force between them decreases. This is because the force diminishes with the square of the distance increase, which is demonstrated by the 1/d2 factor in the equation. For example, if you increase the distance by a factor of 3, the gravitational force would decrease by a factor of 32 (or 9).
Therefore, as the distance between two objects increases, the gravitational force between them will indeed decrease, highlighting the importance of distance when considering gravitational interactions.
When an object is moving with uniform circular motion, the centropetal acceleration of the object?
Answer:
The correct answer is "is directed toward the center of motion".
Explanation:
When an object moves in a uniform circular motion, the centrifugal acceleration of the object is directed toward the center of the motion. This acceleration is the only acceleration of the object experiences when it has constant velocity on a circular path. This causes the body to be attracted to the center of the trajectory by a centripetal force that prevents the body from entering a rectilinear trajectory.
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What is the magnitude of the electric force on an electron in a uniform electric field of strength 2050 n/c that points due east?
A current of 12 amps is measured in a circuit with a total resistance of 9.0 ohms. What is the size of the voltage source that supplies this circuit?
a. 108 volts
b. 21 volts
c. 1.3 volts
d. 0.75 volts
An earth satellite in an elliptical orbit travels slowest when it is
A satellite in an elliptical orbit around Earth moves slowest at its apogee, which is the point farthest from the Earth, due to the weaker gravitational force and conservation of angular momentum.
Explanation:An earth satellite in an elliptical orbit travels slowest when it is at the point farthest from the Earth, known as the apogee.
In an elliptical orbit, satellites experience varying speeds. The speed is greatest at the point closest to Earth, called perigee, and lowest at the apogee. This is due to the conservation of angular momentum and energy: while the gravitational pull is strongest at the perigee resulting in higher velocity, it is weakest at the apogee, hence causing the satellite to move slower.
Orbital dynamics, such as the one described, are dictated by Kepler's laws of planetary motion where among others, it states that a planet or satellite will sweep out equal areas in equal times, leading to a change in speed depending on its position along the orbit. Thus, as a satellite moves away from the Earth, to the apogee of its orbit, its orbital speed decreases due to the weaker gravitational force at that point.