A ball of mass 0.5 kg is thrown with kinetic energy of 100 J vertically upward. If air resistance is neglected, find maximum height reached by the ball. (g = 10 m/s²)
Answer:
20 meters
Explanation:
The initial velocity of the ball can be determined using the equation for kinetic energy:
K = (1/2)mv^2
100 J = (1/2) * 0.5 kg * v^2
So, v^2 = 200 J / 0.5 kg = 400 m^2/s^2
The velocity can be determined from the square root:
v = sqrt(400 m^2/s^2) = 20 m/s
Now we can use the velocity to determine the maximum height. The maximum height is reached when the velocity is zero, so we can use the formula for vertical motion under constant acceleration to find the time when this occurs:
v = v0 - gt
0 = 20 m/s - 10 m/s^2 * t
t = 2 s
We can use this time to find the maximum height:
h = v0 * t - (1/2)gt^2
h = 20 m/s * 2 s - (1/2) * 10 m/s^2 * 2 s^2
h = 40 m - 20 m
h = 20 m
So, the maximum height reached by the ball is 20 meters.
oil droplets may gain electrical charges as they are projected through a nozzle. which quantity of charge is not possible on an oil droplet?
Electric charge is not possible on an oil droplet
How do charged oil drops form?
When radiation (such as X-rays) ionizes the area between the metal plates, electrons from the air attach to the falling oil droplets and give them a negative charge.
They could only gain or lose electrons, which are the only charged particles. The "elementary charge" of an electron is 1.60 • 10-19 C, and it is present on every electron. Therefore, any oil droplet's charge needs to be a multiple of this quantity. Due to their typically low conductivity, lubricants can act as insulators in transformers and switches. Oils can conduct electrical current, though. Their conductivity is influenced by a number of variables, including as the base oil, additives, and polarity.
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in the book example concerning the figure above, a force of 0.086 n from an external agent was required to keep the rod moving at a constant speed. suppose the light bulb in the figure is unscrewed from its socket. how much force would now be needed to keep the rod moving at a constant speed? justify your answer.
The correct answer is 0 N.
There will be no current in the rod and thus no magnetic force resisting the motion. Without any resistance, it will keep moving until acted on by an outside force according to Newton's first law.
What is motion?
Numerous physical systems, including objects, bodies, matter particles, matter fields, radiation, radiation fields, and radiation particles, as well as curvature and space-time, are affected by motion. One can also talk about how borders, shapes, and pictures move. A physical system's configuration or locations continuously changing in space is what is often meant by the term "motion." For instance, one can discuss the motion of a wave or a quantum particle, where the configuration is made up of the probabilities that the wave or particle would occupy particular places.To know more about motion, click the link given below:
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what is the advantage of the larger diameter of jwst? choose one or more: a. at a particular wavelength, the resolution for the jwst is 2.7 times better than that for hst. b. the light-gathering ability of the jwst is 7.3 times better than it is for the hst. c. the light-gathering ability of the hst is 2.7 times better than it is for the jwst. d. at a particular wavelength, the resolution for the jwst is 7.3 times better than that for hst. e. the light-gathering ability of the hst is 7.3 times better than it is for the jwst. f. the light-gathering ability of the jwst is 2.7 times better than it is for the hst.
The advantage of the larger diameter of JWST is the light gathering ability of the JWST is 7.3 times better than it is for the HST. Hence, the correct option is (b).
The advantage of the larger diameter of the James Webb Space Telescope (JWST) over the Hubble Space Telescope (HST) is that the light gathering ability of the JWST is 7.3 times better than that of the HST. This is because the diameter of the JWST's primary mirror is 6.5 meters, while the diameter of the HST's primary mirror is only 2.4 meters. The greater the diameter of a telescope's mirror, the more light it can collect and focus, which leads to better image resolution and sensitivity.
Option (a) is incorrect, because a better light-gathering ability does not necessarily translate to a better resolution. The resolution of a telescope depends on a number of factors, including its optics, the size of its detector, and the amount of light that it can gather.
And options (c), (d), (e), and (f) are also incorrect, as the light-gathering ability of the JWST is 7.3 times better than that of the HST, not 2.7 times.
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you observe two distant galaxies (well outside our local group of galaxies). you find that galaxy w is moving away from us at a speed of 35,000 km/s and galaxy x is moving away from us at a speed of 70,000 km/s. what can you say about the distances to those galaxies?
the first piece of observational proof that the universe is old. He found that a galaxy appears to be moving away from us faster the further away it is from us, using the greatest telescope available at the time. The universe is therefore evenly expanding in all directions.
What is the two distant galaxies?We frequently observe bigger fluctuations in the color of the light that distant galaxies release when we measure their radiation. This indicates that they are travelling more quickly than the nearby galaxies.
Speeds that are not faster than 0.05% to 1.0% the speed of light. However, you don't need to gaze very far away—100 million light-years is more than enough—to see the consequences of the expanding Universe.
Therefore, Galaxy W is twice as far as Galaxy X.
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The robot arm is elevating and extending simultaneously. At a given instant. theta = 30 degree, theta with dot = 10 deg/s = constant, l = 0.5 m, i = 0.2 m/s, and l with dieresis = -0.3 m/s2. Compute: express v right words arrow and a right words arrow in terms of unit vectors I with Hat and j with Hat. the magnitudes of the velocity v and acceleration a of the gripped part P.
The velocity of the gripped part P is -0.4i_hat + 0.293j_hat m/s, and the acceleration is -0.05i_hat - 3.93j_hat m/s^2. The magnitude of the velocity is 0.5 m/s, and the magnitude of the acceleration is 3.93 m/s^2.
What is tangential acceleration?Tangential acceleration is the component of acceleration that is parallel to the instantaneous velocity of an object moving along a curved path. It represents the rate of change of the magnitude of the velocity vector of the object. Mathematically, the tangential acceleration at any instant is given by the formula:
a_t = r * d²(theta)/dt²
To compute the velocity and acceleration of the gripped part P, we can use the equations for velocity and acceleration of a particle in planar motion:
v = v_i + a_t, where v_i is the initial velocity and a_t is the tangential acceleration a = a_t + a_n, where a_n is the normal acceleration
First, let's find the position of the gripped part P at the given instant. We can use the law of cosines to find the length of the arm:
l² = i² + 2ilcos(theta) + l² cos(theta) = (l² + i² - l²)/(2il) = (i²)/(2il) = 0.2/(20.5) = 0.2
Therefore, theta = arccos(0.2) = 78.46 degrees.
Next, let's find the position vectors of the gripped part P at the given instant. We can use the polar coordinates of P:
r = l theta = theta x = rcos(theta) = 0.5cos(78.46) = 0.13 m y = rsin(theta) = 0.5sin(78.46) = 0.47 m
Now, let's find the velocity vector v. We can find the tangential acceleration using the formula:
a_t = ld^2(theta)/dt^2 = l(-0.3)*cos(theta) = -0.15 m/s^2
Therefore, the velocity vector is:
v = v_i + a_t = ltheta_dot(-sin(theta)*i_hat + cos(theta)j_hat) + (-0.15(-sin(theta)*i_hat + cos(theta)j_hat)) = (-0.25(-sin(30)*i_hat + cos(30)j_hat)) + (-0.15(-sin(30)i_hat + cos(30)j_hat)) = (-0.4i_hat + 0.293j_hat) m/s
The magnitude of the velocity is:
|v| = sqrt((-0.4)^2 + (0.293)^2) = 0.5 m/s
Next, let's find the acceleration vector a. We can find the normal acceleration using the formula:
a_n = l × (d^2(theta)/dt^2)sin(theta) = -0.30.5×sin(78.46) = -0.145 m/s^2
Therefore, the acceleration vector is:
a = a_t + a_n = (-0.15*(-sin(30)*i_hat + cos(30)j_hat)) + (-0.145sin(78.46)*cos(30)i_hat + (-0.145sin(78.46)sin(30) - 9.81)j_hat) = (-0.05i_hat - 3.93j_hat) m/s²
The magnitude of the acceleration is:
|a| = √((-0.05)² + (-3.93)²) = 3.93 m/s²
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which person below developed a system for predicting planetary positions that remained in use for some 1500 years?
Ptolemy. Ptolemy was a Greek astronomer who developed the Ptolemaic system of astronomy.
What is astronomer?Astronomer is an individual who studies the universe and its components such as stars, planets, galaxies, and other celestial bodies. They use observational data, mathematical models, and theoretical principles to understand the physical properties, evolution and origin of the universe. Astronomers often work in teams, and employ a variety of techniques to observe and analyze the data they collect. Astronomers may use ground-based telescopes, spacecraft, or other instruments to observe the universe and the objects within it.
This system used a combination of observational data and mathematical calculations to accurately predict the positions of the planets. This system was used for around 1500 years, until the invention of the telescope in the 17th century.
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If a 240 volt voltage source is connected to a wire with 10
ohms of resistance, what is the current?
If a 240 volt voltage source is connected to a wire with 10 ohms of resistance, then the current is 24 amp.
Given data as per the question is:
Voltage given - 240 V
Resistance = 10 ohm
The formula to be used in such numerical is,
V=IR --------------------- (A)
where V in the equation is the voltage, I in the equation is the current and R in the equation is the resistance.
Substituting the values in the equation (A)
240=I(10)
I= 240/10 = 24 amp
The current is 24 amp.
The formula V=IR is the ohm's law. The current which is flowing through the wire is directly proportional to the potential difference applied across its ends of it ,provided that the temperature and all the other physical conditions of the wire like stresses and strains remains absolutly constant.
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how to calculate the maximum height of a projectile given its original position and initial velocity only up and down
The maximum height of a projectile given its original position and initial velocity is, h = (v^2)/(2g).
Maximum height of a projectile given its original position and initial velocity in the vertical direction,
h = (v^2*sin^2(theta))/(2g)
where v is the initial velocity in the vertical direction, theta is the angle of the initial velocity and g is the acceleration due to gravity.
If the projectile is launched straight up, then theta = 90 degrees,
h = (v^2)/(2g)
To use this formula, you need to know the value of v, the initial velocity of the projectile in the vertical direction. This can be found by analyzing the initial conditions of the problem or by measuring the initial velocity directly.
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the temperature of the filament of an incandescent lightbulb is 2800 k. treating the filament as a blackbody, determine the fraction of the radiant energy emitted by the filament that falls in the visible range. also, determine the wavelength at which the emission of radiation from the filament peaks
The peak wavelength of radiation from a 2800 K incandescent bulb is 1.035 μm, outside the visible range. Most energy is infrared.
The fraction of the radiant energy emitted by the filament that falls in the visible range can be calculated using Wien's displacement law and the Stefan-Boltzmann law.
Wien's displacement law states that the peak wavelength of the radiation emitted by a blackbody is inversely proportional to its temperature. The formula is:
peak wavelength = constant / temperature
where the constant is approximately equal to 2.898 × [tex]10^(-3)[/tex] meters-kelvin.
Substituting the temperature of the filament (2800 K) into the formula, we get:
peak wavelength = 2.898 × [tex]10^(-3)[/tex]m-K / 2800 K = 1.035 × [tex]10^(-6)[/tex] meters
This means that the peak wavelength of the radiation emitted by the filament is in the infrared range, and is not visible to the human eye.
The fraction of the radiant energy emitted by the filament that falls in the visible range can be approximated by integrating the Planck radiation law over the visible spectrum (approximately 400-700 nm) and dividing by the total radiant energy emitted by the filament. The formula for the radiant flux density emitted by a blackbody is:
radiant flux density = σ[tex]T^4[/tex]
where σ is the Stefan-Boltzmann constant ([tex]5.67 *10^(-8) W/m^2-K^4[/tex]) and T is the temperature of the filament in kelvin.
Integrating this formula over the visible spectrum, we get:
radiant flux in visible range = ∫(400 nm to 700 nm) [2πh[tex]c^2 / λ^5[/tex]] / [exp(hc/λkT) - 1] dλ
where h is Planck's constant, c is the speed of light, and k is the Boltzmann constant.
Evaluating this integral gives the radiant flux in the visible range. Dividing this by the total radiant flux emitted by the filament (which is just σ[tex]T^4[/tex]), we can find the fraction of the radiant energy emitted by the filament that falls in the visible range. This calculation is quite involved, and would require numerical integration, but in general, only a small fraction of the energy emitted by a filament at 2800 K falls in the visible range. Most of the energy is emitted in the infrared and ultraviolet ranges.
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An ecologist recorded 12 white-tailed deer, Odocoileus virginianus, per square kilometer in one woodlot and 20 per square kilometer in another woodlot. What was the ecologist comparing?
A) Density
B) Range
C) Cohorts
D) Dispersion
E) Carrying capacity
The ecologist was comparing the density of white-tailed deer, Odocoileus virginianus, between two woodlots.
What is Density?A population's density is calculated as the number of people in a given area or volume. It is a key parameter for comprehending the dynamics of populations and one of the most fundamental ideas in population ecology.
The number of people per unit area, such as per square meter or per square kilometer, is a common way to represent population density in the context of ecology. As an illustration, it is possible to compute the density of a certain species in a particular habitat by counting the number of individuals inside a given area and dividing that number by the area.
The dynamics of the population are significantly influenced by density. Increased resource competition brought on by a high population density may have an impact on population growth, survival, and reproduction. A low population density, on the other hand, may lead to less competition for resources and more food availability, which may encourage human growth and reproduction.
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how does an electromagnetic wave propagates?
if all of the dimensions of the block double (to become 20 cm wide, 8 cm tall, and 6 cm deep), what happens to the resistance along each axis?
The resistance of the block to motion along each axis will also increase by a factor of 8.
The resistance of a block to motion in a particular direction is determined by its mass and the coefficient of friction between the block and the surface.
Assuming that the surface and the coefficient of friction remain the same, and the block's density is also constant, the mass of the block will increase by a factor of
[tex]2^3 = 8[/tex] when all of its dimensions double.
Therefore, the resistance of the block to motion along each axis will also increase by a factor of 8. This is because the force required to move the block along each axis is proportional to the mass of the block, and the mass is directly proportional to the volume of the block, which in turn is proportional to the product of its three dimensions.
In other words, if the original block had a certain resistance to motion along each axis, the new, larger block will require eight times the force to be moved along each axis, as its mass will be eight times greater.
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17) If the pendulum string has a length of 7 meters, what is the period?
a.
4.4 seconds
c. 6.28 seconds
b. 5.26 seconds
d. 0.84 seconds
The period of a pendulum is found to be 5.26 seconds if the pendulum string has a length of 7 meters.
What is a Pendulum?A pendulum may be characterized as a body suspended from a fixed point so that it can swing back and forth under the influence of gravity. The time interval of a pendulum's complete back-and-forth movement is constant.
According to the question,
The length of a pendulum string = 7 m.
The period of a pendulum string = ?
The length of a pendulum string is found with the help of the following formula:
L = (T/ 2π)² × g7 = (T/2 × 3.14)² × 9.8
7 = [tex]\frac{T^2}{4}[/tex] × 9.85 × 9.8.
28 = [tex]T^2[/tex] × 96.53 = 0.526 = 5.26 seconds.
Therefore, the period of a pendulum is found to be 5.26 seconds if the pendulum string has a length of 7 meters.
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A. 36,000 Joules
B. 73,000 Joules
C. 146,000 Joules
D. 292,000 Joules
Option B is correct.
Kinetic energy is the energy that a body possesses as a result of its movement. Potential energy is the energy that a body possesses as a result of its location or state.
While an object's kinetic energy is relevant to the state of other items in its environment, potential energy is fully independent of its surroundings. As a result, the acceleration of an item is not visible in the movement of a single object when other objects in the same environment are also moving.
Here potential energy is being used so work done will be mgh
Where,
M = mass
G = acceleration due to gravity
H = height
Since there is no change in kinetic energy,
So,
W1/W2 = mgh1/mgh2
Now, here mass and acceleration due to gravity are the same
Therefore,
W1/W2 = h1/h2
W2 = 0.5 × 146000J = 73000J
Therefore, the work done to lift the block halfway to the top is 73,000 joules.
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in which scenario is the change in momentum greatest? coming to a stop by landing on the trampoline. coming to a stop by landing on the ground. the change in momentum is the same for both scenarios.
The change in momentum is greatest when coming to a stop by landing on the ground.
This is because when a person comes to a stop on the ground, the time of impact is shorter than when they come to a stop on a trampoline. Since the force is the rate of change of momentum, a shorter time of impact results in a greater force acting on the body, which leads to a larger change in momentum.
In contrast, when a person lands on a trampoline, the surface is more yielding and will absorb some of the force of impact over a longer time, resulting in a smaller force acting on the body and a smaller change in momentum.
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A wooden ball with a mass of 0.45 kg is at rest when it is tapped by a wooden mallet that applies an average force of 83 N to the ball. After contact with the mallet, the ball moves forward at 1.3 m/s. How long was the mallet in contact with the ball?7.0 milliseconds3.7 milliseconds2.4 milliseconds.59 milliseconds
The mallet in contact with the ball is 2.4 milliseconds.
The amount of time that the mallet was in contact with the ball can be calculated using the equation for impulse, which is equal to the change in momentum. Force and time combine to create an impulse.. Mathematically, it can be expressed as:
Impulse = Change in Momentum = F * t
Change in momentum is the product of mass and change in velocity.Therefore, the time that the mallet was in contact with the ball can be calculated as follows:
[tex]t = \frac{Impulse }{F }\\ \\= \frac{(0.45 kg * 1.3 m/s) }{ 83 N }\\\\= 2.4 milliseconds[/tex]
Therefore,The mallet in contact with the ball is 2.4 milliseconds.
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Two friends are playing with a toy telephone. Which of the points P,Q and R will vibrate if one of the friends speak into the cup? Justify your answer
The point that will vibrate the most when one of the friends speaks into the cup is point Q as vibration dampens and energy is lost due to friction.
In a toy telephone, sound is transmitted through a string that connects two plastic cups. When one person speaks into one cup, the sound waves vibrate the cup, which in turn vibrates the string and causes the other cup to vibrate as well.
Assuming that the string is held taut, the vibration of the cups will depend on the placement of the points P, Q, and R, as shown in the figure. If the string is not taut, the cups may not vibrate at all, or the vibrations may be too weak to transmit the sound effectively.
Point P is located at the midpoint of the string, and it will not vibrate much because the two cups are attached to it and there is no space for it to move.
Point Q is located at one end of the string, and it will vibrate the most when one of the friends speaks into the cup. This is because the cup will vibrate the string, and the vibration will be transmitted all the way to the other end of the string, where point Q is located.
Point R is located between P and Q, and it will vibrate to some extent, but not as much as point Q. This is because the vibration will be damped as it travels along the string, and some of the energy will be lost due to friction.
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who described the universe as a giant clock with unified rules for gravity and motion?
Isaac Newton described the idea that the universe as a giant clock with unified rules for gravity and motion.
The clockwork universe is commonly stated with Sir Isaac Newton but it turns out that both he and his close philosophical supporter Samuel Clarke both strongly criticized the notion of the clockwork universe, because it left no room for Divine Providence.
The faster a clock moves, the slower time passes according to someone in a different frame of reference.
In the history of science, the clockwork universe compares the universe to a mechanical clock. It continues ticking along, as a perfect machine, with its gears governed by the laws of physics, making every aspect of the machine predictable.
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monochromatic light is beamed into a michelson interferometer. the movable mirror is displaced 0.459 mm, causing the central spot in the interferometer pattern to change from bright to dark and back to bright 1821 times. determine the wavelength of the light.
The wavelength of the light can be calculated using the formula λ = 2d/N, where d is the mirror displacement and N is the number of fringes observed. Substituting the given values, the wavelength of the light is found to be approximately 635.2 nm.
A tool used to gauge light's wavelength is a Michelson interferometer. A beam splitter is used to divide a light beam into two pathways, which are then combined again to form an interference pattern. One of the beams' travel lengths is altered by the moveable mirror, which results in interference fringes moving. It is possible to determine the wavelength of the light by counting the number of fringes that shift, which is directly proportional to the change in path length. In this instance, the movable mirror's displacement and the quantity of fringe shifts are known, allowing us to use the formula: = 2d/N, where d is the mirror's displacement and N is the quantity of fringe shifts, to determine the wavelength of the light.
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the earth has a much larger mass than the moon. how many moons would it take to equal the mass of earth?
Answer: 81 1/2 moons would be needed to equal the amount of mass of Earth
Explanation:
The Density Of Mercury Is 13600 Kg/M3 At 0 OC. What Would Its Density Be At 166 OC? Coefficient Of Volume Expansion For Mercury Is 182x10-6(O C)The density of mercury is 13600 kg/m3 at 0 oC.What would its density be at 166 oC?Coefficient of volume expansion for mercury is 182x10-6(o C)
The density of mercury at 166 °C would be approximately 13203 kg/m³.
What is the density of a substance?A substance's density is a physical characteristic that indicates how much mass there is per unit volume. In other terms, it is a measurement of how close together a substance's particles are packed. The density equation is:
Mass / Volume equals density.
Where an object's volume is the amount of space it takes up and its mass is the amount of substance it contains.
Depending on the measurement system being used, the units for density may vary. The unit of density in the International System of Units (SI) is kilograms per cubic meter (kg/m3). However, additional measurements can also be made, such as grams per cubic centimeter (g/cm3) or pounds per cubic foot (lb/ft3).
To calculate the density of mercury at 166 °C, we can use the following formula:
ρ2 = ρ1 / [1 + β (T2 - T1)]
where:
ρ1 = 13600 kg/m³ is the density of mercury at 0 °C
β = 182 x 10^-6/°C is the coefficient of volume expansion for mercury
T1 = 0 °C is the initial temperature
T2 = 166 °C is the final temperature
Substituting these values into the formula, we get:
ρ2 = 13600 kg/m³ / [1 + (182 x 10^-6/°C) x (166 °C - 0 °C)]
ρ2 = 13600 kg/m³ / [1 + (182 x 10^-6/°C) x (166 °C)]
ρ2 = 13600 kg/m³ / 1.030012
ρ2 = 13203 kg/m³
Therefore, the density of mercury at 166 °C would be approximately 13203 kg/m³.
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it takes 10 million (1x107) hudfs to fill the entire sky. using this information and your answer from the previous part, how many stars are there in the observable universe? express your answer using scientific notation.
The estimated number of stars in the observable universe is about 1x10^22.
Scientific Notation10 million can be written as 1,000,000,000 . It is expressed in scientific notation, it becomes 10 raised to 9= 1,000,000,000
What is an Universe?The universe is made up of all of space, time, and everything that exists within them, including all of the planets, stars, galaxies, and other types of matter and energy. The prevailing cosmological explanation for the universe's formation is the Big Bang theory. The universe has been expanding ever since the Big Bang, which occurred 13.7870.020 billion years ago, according to this theory. Although the size of the entire universe's space is unknown, the observable universe's diameter, which is about 93 billion light-years at the moment, can be calculated.
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The estimated number of stars in the observable universe is about 1x10^22.
Scientific Notation
10 million can be written as 1,000,000,000 . It is expressed in scientific notation, it becomes 10 raised to 9= 1,000,000,000
What is an Universe?
The universe is made up of all of space, time, and everything that exists within them, including all of the planets, stars, galaxies, and other types of matter and energy. The prevailing cosmological explanation for the universe's formation is the Big Bang theory. The universe has been expanding ever since the Big Bang, which occurred 13.7870.020 billion years ago, according to this theory. Although the size of the entire universe's space is unknown, the observable universe's diameter, which is about 93 billion light-years at the moment, can be calculated.
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an airplane flies from joint base lewis mcchord (jblm) to a undisclosed location 80 km south and 200 km east. in what direction should the plane fly?
Greetings from Joint Base Lewis-McChord, the base where I Corps and the 62 Airlift Wing are based. The flagship military facility on the West Coast for the Department of Defence is Joint Base Lewis-McChord, which is situated in the Puget Sound area of the Pacific Northwest.
What is the joint base lewis mcchord (jblm)?JBLM, the sole Army Power Projection Platform west of the Rocky Mountains, has since expanded to become the largest Army-led joint post in the United States.
Because of the 100 km/h speed, the net spirit of the plane will be in this activity. In order to determine the plane's motion with respect to the north, we first locate the theatre.
The calculation would be 100 km/h divided by 300 km/h. According to the formula, three would win 10 thetas.
Therefore, The plane's motion's angle determines whether it is respectable.
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I put a velocity of 5m/s up on a 2kg mass on a spring with a k value of 150N/m. What is the PE of the spring at the maximum, and what is the amplitude? What is the T?
The PE of the spring at the maximum is [tex]375J[/tex] and Temperature T is [tex]0.907s[/tex]
The potential energy of the spring at the maximum is the elastic potential energy. This is equal to the work done on the spring (the product of force and displacement) and is given by the equation:
[tex]PE =\frac{ 1}{2}kx^2[/tex], where k is the spring constant, and x is the displacement.
In this case, the displacement is equal to the amplitude of the spring, given by the equation:
[tex]A = (\frac{v^{2}}{k})^{1/2}[/tex], where v is the velocity.
Substituting this into the equation for PE, we get:
[tex]PE =\frac{ 1}{2}k(\frac{v^{2}}{k})^{2 }\\\\=\frac{ 1}{2}kv^{2}[/tex]
Plugging in the values for k and v given in the question, we get [tex]PE = \frac{1}{2}*150N/m*(5m/s)^2\\ \\PE= 375J.[/tex]
The equation provides the spring's duration:
[tex]T = 2\pi (m/k)^{1/2}[/tex]
where m is the mass of the object.
Substituting the values for m and k given in the question, we get:
[tex]T = 2\pi(\frac{2kg}{150N/m})^{1/2}\\\\ T= 0.907s.[/tex]
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a plane flies 72 x 105 m north and then another 15 x 105 m west in a total time of 6 h. the magnitude of your average velocity for the entire trip is
A plane flies 72 x 105 m north and then another 15 x 105 m west in a total time of 6 h. the magnitude of your average velocity for the entire trip is 340 m/s.
Displacement = [(72 x 10⁵]² + [15 x 10⁵]²
= 10⁵ x √72² + 15²
= 10⁵ x √5.409
= 73.545 x 10⁵
Time = 6 hours = 6 x 3600 sec
Velocity = 73.545x10⁵/36x6x100
V= 0.34044 x 10³
V = 340.49
V = 340 m/s
Magnitude of average velocity is 340 m/s.
The terms haste and speed give us an idea of how fast or decelerate an object is moving. relatively frequently, we come across situations where we need to identify which of the two or further objects is moving briskly. One can fluently tell the faster of the two if they're moving in the same direction on the same road. still, if their direction of stir is in the contrary direction, also it's delicate to determine the fastest.
In similar cases, the conception of haste is helpful. In this composition, let us learn the haste meaning, the unit of haste, the illustration of haste, and the difference between speed and haste.
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In which state of matter, do the particles have the maximum energy?
A
Solid
B
Liquid
C
Gas
D
None of these
a solid ok thank you
hope it helps
what forces work on the mass in the new coordinate system? suppose the mass is a height y in the new coordinates. the total force on it is given: ftot
The forces acting on a mass in a coordinate system include gravitational forces, electromagnetic forces, frictional forces, and tension forces.
The equations you provided are the equations of motion for a particle with mass m moving in a straight line under the influence of a net force Ftot. The equation Ftot = md²r/dt² represents Newton's Second Law of Motion, which states that the net force acting on an object is equal to its mass times its acceleration.
The second equation, r = (d²r/dt²)t², gives the position of the particle as a function of time. It is the second derivative of the position vector r with respect to time t, which corresponds to the acceleration of the particle.
Together, these equations describe the motion of a particle under the influence of a net force and can be used to calculate the position, velocity, and acceleration of the particle as a function of time.
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The question is -
What forces work on the mass in the new coordinate system? suppose the mass is a height y in the new coordinates. the total force on it is given: [tex]F_{tot}[/tex] = md²r/dt²
What is the mass defect of lithium? Assume the following: Atomic number of lithium = 3 Atomic mass of lithium = 7. 0144 atomic mass units. Mass of 1 proton = 1. 0073 atomic mass units. Mass of 1 neutron = 1. 0087 atomic mass units.
(A)0. 0043 atomic mass units
(B)0. 0423 atomic mass units
(C)3. 0219 atomic mass units
(D)4. 0348 atomic mass units
(E)7. 0567 atomic mass units
The mass of an atom is less than the sum of the masses of its component protons, neutrons and electrons. The mass defect is 0.0423 amu. The correct option is B.
What is mass defect?The mass defect is equal to the mass lost as an equivalent amount of energy during the formation of a given nucleus from the component nucleons.
Δm = M°- M
Δm = Mass defect
M° = Expected total mass
M = Experimentally determined mass
Here 'Li' has 3 protons and 4 neutrons.
The mass of proton = 3 × 1.0073 = 3.0219 amu
The mass of neutron = 4 × 1.0087 = 4.0348 amu
The sum of masses of protons and neutrons = 7.0567
Mass defect = 7.0567 - 7.0144 = 0.0423 amu
Thus the correct option is B.
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The full range of frequencies of electromagnetic radiation is called
A. Visible light
B. Radio waves
C. The electromagnetic spectrum
D. Invisible radiation
The full range of frequencies of electromagnetic radiation is called the electromagnetic spectrum. So, the correct answer is C.
The electromagnetic spectrum includes all types of electromagnetic radiation, including visible light, radio waves, microwaves, infrared radiation, ultraviolet radiation, X-rays, and gamma rays. Each type of electromagnetic radiation has a different frequency and wavelength, and they all travel at the speed of light in a vacuum. Each type of electromagnetic radiation has a unique wavelength and frequency, which determine its properties and the way it interacts with matter. Radio waves have the longest wavelength and the lowest frequency in the electromagnetic spectrum, followed by microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.
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