The maximum distance, in meters, that the ships can be from the photographer to get a resolvable picture is 2.26 × 10-5 m or 22.6 μm.
To determine the maximum distance that the ships can be from the photographer to get a resolvable picture, we need to use the Rayleigh criterion. Rayleigh criterion is the minimum angular separation between two point sources required to resolve the details of the object.
This criterion is given as;θ=1.22λ/Dwhereθ is the angular resolutionλ is the wavelength of light D is the diameter of the objective lens. For a single-lens camera, we can use the diameter of the lens aperture instead of the objective diameter. The resolving power is inversely proportional to the diameter of the lens aperture and the wavelength of the light used. In addition, the resolving power is also proportional to the focal length of the lens being used.
The maximum distance, in meters, that the ships can be from the photographer to get a resolvable picture is calculated as follows:
θ=1.22λ/D …………Eq.1
Rearranging the equation to get D;D=1.22λ/θ …………Eq.2
Given that the angular resolution, θ = 3.0 × 10-5 radians, the wavelength of light λ = 555 nm = 555 × 10-9 m.
D = 0.0254 m = 25.4 mm
Substituting the values into equation 2;
D=1.22 × 555 × 10-9 / (3.0 × 10-5)D = 22.6 μm (micrometers)
In meters; 1 μm = 1 × 10-6 m∴ 22.6 μm = 22.6 × 10-6 m = 2.26 × 10-5 m.
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you intend to move a rectangular loop of wire into a region of uniform magnetic field at a given speed so as to induce an emf in the loop. the plane of the loop must remain perpendicular to the magnetic field lines. in which orientation should you hold the loop while you move it into the region with the magnetic field to generate the largest emf?
Holding the loop in place requires that its short dimension be parallel to the velocity vector.
From the batteries in your smart phone to the satellites that transmit data back to Earth, electromagnetic phenomena are present everywhere. Electromagnetic fields, which are areas around objects that produce magnetic and electric forces that are both a component of the same electromagnetic force, can be used to describe how electricity behaves.
You may even construct one using a battery and other items like copper wire or metal nails that are lying around your house to show these physics phenomena for yourself because the electromagnetic force is used in so many aspects of daily life.
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Which of the following is true about all waves?
A. They enter the your body through your ear
B.They need matter to travel through
C. They represent the movement of energy
D.They cannot travel through empty space
example 10.11 discusses the conversion of spring potential energy to kinetic energy. how much energy is initially stored in the spring?
A spring-loaded to gun is used to launch a 10 plastic ball. The spring, which has a spring constant of 10 N/m, is compressed by 10 cm as the ball is pushed into the barrel. When the trigger is pulled, the spring is released and shoot the ball back out horizontally.
Answer:
Below
Explanation:
ESE = 1/2 k d^2
= 1/2 * 10 N/m * .1 m = .5 J
Within the visible spectrum, our experience of red is associated with ________ waves of light.
Within the visible spectrum, our experience of red is associated with a longer wavelength of light.
What is the electromagnetic spectrum?The electromagnetic spectrum is seen as colors: violet, indigo, blue, green, yellow, orange, and red. Blue light has a very short wavelength, and so produces a higher amount of energy.
In the visible spectrum, the longer wavelengths that we perceive as red are followed by intermediate wavelengths for green and shorter wavelengths for blue and violet.
Our perception of red is connected to a longer wavelength of light within the visible spectrum.
Hence longer wavelength is the correct answer for blanks.
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is the displacement d(x,t)=ln(ax+bt), where a and b are constants, a possible travelling wave?
a. yes
b. no
No, the displacement d(x,t) = ln(ax+bt), where a and b are constants, is not a possible traveling wave.
A traveling wave is a wave that moves through space without changing its shape, so that at any given time, the wave can be described by a single function of both position and time. In order for a wave to be a traveling wave, it must have a sinusoidal form of the following type:
f(x,t) = A sin(kx - ωt + φ)
where A, k, ω, and φ are constants.
The given displacement function d(x,t) = ln(ax+bt) cannot be expressed in the form of a sinusoidal wave, and so it cannot be a traveling wave.
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Doubling the momentum of a neutron
(a) decreases its energy
(b) doubles its energy
(c) doubles its wavelength
(d) halves its wavelength
(e) none of these.
The answer is option (a)"decreases its energy" as doubling the momentum of a neutron leads to a decrease in its energy.
How does momentum affect a neutron's energy and wavelength?The de Broglie wavelength equation is given by λ = h/p, where λ is the wavelength of a particle, h is the Planck constant, and p is the momentum of the particle. This equation shows that the wavelength of a particle is inversely proportional to its momentum.
Therefore, if the momentum of a neutron is doubled, its wavelength will be halved (option (d) in the question).
However, the energy of a neutron is proportional to the square of its momentum, i.e., E = p\(^2/2m\), where E is the energy of the neutron, and m is its mass.
Therefore, if the momentum of a neutron is doubled, its energy will be quadrupled (not listed in the options).
Thus, option (a) "decreases its energy" is the correct answer.
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Parts of the mixer become hot because some of the electrical energy is changed into
Parts of the mixer become hot because some of the electrical energy is converted into heat energy.
When electrical energy flows through a wire, it encounters resistance, which causes the wire to heat up. In a mixer, the electric motor converts electrical energy into mechanical energy to rotate the blades, but some of the electrical energy is lost as heat due to resistance in the motor's winding and other electrical components. This heat energy can accumulate in the mixer's parts and cause them to become hot. In many electrical devices, heat is an undesirable byproduct of energy conversion and can lead to reduced efficiency, damage, or safety hazards.
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--The complete Question is, Fill in the blanks. " Parts of the mixer become hot because some of the electrical energy is changed into____"--
Find the moment of inertia with respect to the y-axis of the area bounded by y = x^2 and y = 2x.
A. 11/5
B. 9/5
C. 7/3
D. 8/5
The answer here is letter D but I dont know its solution
The moment of inertia with respect to the y-axis of the area bounded by y = \(x^2\) and y = 2x is 8/5 (Option D).
To find the moment of inertia with respect to the y-axis, we need to integrate the product of the differential area (dA) and the square of its perpendicular distance (y) from the y-axis. The region bounded by y = \(x^2\) and y = 2x can be visualized as two curves intersecting at points (0, 0) and (2, 4).
First, we need to find the limits of integration. These are the x-values where the curves intersect. Setting y = \(x^2\) and y = 2x equal to each other and solving for x, we get \(x^2\) = 2x, which gives us x = 0 and x = 2 as the intersection points.
Next, we calculate the differential area, dA, which is the vertical strip between the curves. It can be expressed as dA = (2x - \(x^2\)) dx, where dx is the infinitesimal width of the strip.
Now, the moment of inertia with respect to the y-axis (Iy) is given by the integral of (\(y^2\) * dA) from x = 0 to x = 2:
Iy = ∫[0 to 2] (\(x^2\) * (2x - \(x^2\)) dx)
By evaluating this integral, the result turns out to be Iy = 8/5.
Therefore, the moment of inertia with respect to the y-axis of the bounded area is 8/5, corresponding to option D.
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Which term is defined as the ratio of the speed of light in a vacuum to the speed of light in the material it is passing through?
index of reflection
index of refraction
angle of incidence
angle of reflection
Answer:
The index of refraction
What is the index of refraction?
The index of refraction tells us how much slower or faster light travels from one medium to another.
What is a medium? ⇒ the substance that light passes throughThe formula to find the refractive index of a substance is the following:
\(n=\dfrac{c}{v}\)
\(c\) = the speed of light in a vacuum (\(3.00*10^8\) m/s)\(v\) = the speed of light in the mediumThis makes the index of refraction defined as the ratio of:
the speed of light in a vacuum the speed of light in the material it passes throughAnswer:
index of refraction
Explanation:
We conclude that in a series circuit with fixed battery voltage, a greater resistance in one element means there needs to be a larger electric field to drive electrons through with the same speed. What does this observation imply about the brightness or temperature of a light bulb with a larger resistance
The observation implies that a light bulb with a larger resistance will be brighter and hotter compared to a light bulb with a smaller resistance.
A larger resistance in an element of a series circuit hinders the flow of electrons, requiring a larger electric field to maintain the same electron speed. In the case of a light bulb, this observation implies that a light bulb with a larger resistance will be brighter and hotter. The increased resistance causes more electrical energy to be converted into heat and light within the bulb. Consequently, the bulb emits a brighter glow due to the higher amount of energy being transformed into light. Simultaneously, the temperature of the bulb rises as more energy is dissipated as heat. Thus, a light bulb with a larger resistance exhibits both increased brightness and a higher operating temperature.
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A student carried out an experiment adding different weights to a spring and recording the results. Look at the table of results. What number completes gap 1? The link will show you the diagram.
Answer:
0.25 m.
Explanation:
We'll begin by calculating the spring constant of the spring.
From the diagram, we shall used any of the weight with the corresponding extention to determine the spring constant. This is illustrated below:
Force (F) = 0.1 N
Extention (e) = 0.125 m
Spring constant (K) =?
F = Ke
0.1 = K x 0.125
Divide both side by 0.125
K = 0.1/0.125
K = 0.8 N/m
Therefore, the force constant, K of spring is 0.8 N/m
Now, we can obtain the number in gap 1 in the diagram above as follow:
Force (F) = 0.2 N
Spring constant (K) = 0.8 N/m
Extention (e) =..?
F = Ke
0.2 = 0.8 x e
Divide both side by 0.8
e = 0.2/0.8
e = 0.25 m
Therefore, the number that will complete gap 1is 0.25 m.
List the three main things necessary to build an electromagnet.
Answer:
Electromagnets are special types of magnets that are made by passing current through coils of wire. To make an electromagnet, the minimum requirements are:
1. A nail (usually made of iron, steel or zinc)
2. Dry cell batteries
3. Wire (Usually copper wire)
Other things could be:
1. Electric tape to hold both ends of the wire properly at the battery terminals.
2. Scissors to cut the wire into desired length.
3. Iron fillings for testing purposes.
a toy gyroscope consists of a 200-g disk with a radius of 5.1 cm mounted at the center
A toy gyroscope consists of a disk with a mass of 200 g and a radius of 5.1 cm mounted at the center. We can use this information to calculate several properties of the gyroscope.
First, the moment of inertia of the disk can be calculated as:
I = (1/2)mr^2 = (1/2)(0.2 kg)(0.051 m)^2 = 0.00052 kg m^2
Next, we can calculate the angular velocity of the gyroscope when it is spinning. Suppose that the gyroscope is spinning at a rate of 2000 revolutions per minute (RPM). We can convert this to radians per second by multiplying by 2π/60:
ω = (2000 RPM)(2π/60) ≈ 209.44 rad/s
Using the moment of inertia calculated earlier, we can calculate the kinetic energy of the gyroscope as:
K = (1/2)Iω^2 ≈ 113.88 J
Finally, we can use the gyroscope's angular momentum to calculate its precession rate. Suppose that the gyroscope is mounted on a stand with a pivot point at the center of the disk, and that the stand is tilted at an angle of 5 degrees from the vertical. The gyroscope will precess around the vertical axis at a rate given by:
Ωp = (mgr)/(Iω)
where m is the mass of the gyroscope, g is the acceleration due to gravity, and r is the radius of the disk. Substituting the given values, we get:
Ωp = (0.2 kg)(9.81 m/s^2)(0.051 m)/(0.00052 kg m^2)(209.44 rad/s) ≈ 2.82 rad/s
Therefore, the gyroscope will precess around the vertical axis at a rate of approximately 2.82 radians per second when tilted at an angle of 5 degrees from the vertical.
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what was the acceleration for the whole fall?
The acceleration for the whole fall = 6 m/s²
Since the object falls freely without being pushed, we are able to conclude it falls with constant acceleration.
As per the formula,
Acceleration = \(\frac{Final Velocity - Initial Velocity}{Total Time}\)
The Final Velocity of the space - mobile would be the total displacement it covered in the given time.
Final Velocity = 96/4 m/s
= 24 m/s
The Initial Velocity will be zero since as given in the image attached that the object falls freely with no external force.
Initial Velocity = 0/0 m/s
= 0 m/s
Total time taken = 4 sec
∴ Acceleration of the space - mobile = \(\frac{24-0}{4}\)
= 24/4 m/s²
= 6 m/s²
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The bending of waves is called
a. reflection
b. refraction
c. deflation
d. none of the above
Answer: Refraction
Explanation:
HELP ASAP!!!! Ashley and Rachel are driving bumper cars. Ashley's bumper car is moving and she collides with Rachel bumper car, which is not moving. Describe what happens to the momentum of both cars During this collision.
Answer:
Rachels car moves and ashleys stops
Explanation:
When Ashley's moving car collides with Rachel's bumper car which is at rest then some of the momentum of Ashley's car is transferred to Rachel's car causing it to move.
What is the conservation of momentum?Conservation of momentum states that the momentum of a system is constant if there is the absence of external forces on the system. The momentum of an object can be conserved and is a vector quantity.
Momentum can be defined as the multiplication of the mass of a particle and its velocity. The law of conservation of momentum is confirmed by experiment and can be deduced mathematically on the presumption that space is uniform.
Conservation of linear momentum is derived from Newton’s second law of motion states that the total momentum remains the same in an isolated system.
The total momentum of Ashley's car and Rachel's car remains conserved. After the collision, the momentum transferred from Ashley's car and Rachel's car which makes it move.
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An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a pulley that is rigidly attached to a flywheel. The flywheel is a solid disk with a mass of 66.5 kg and a radius R = 0.625 m. It turns on a frictionless axle. Its pulley has much smaller mass and a radius of 0.230 m. The tension Tu in the upper (taut) segment of the belt is 171 N, and the flywheel has a clockwise angular acceleration of 1.67 rad/s2. Find the tension in the lower (slack) segment of the belt.
The tension in the lower segment of the belt is 219 N. To find the tension in the lower segment of the belt, we can start by analyzing the forces acting on the flywheel.
The net torque acting on the flywheel can be expressed as the product of its moment of inertia and angular acceleration, given by the equation:
\(\[ \tau = I \alpha \]\)
Since the axle is frictionless, the only torque acting on the flywheel is due to the tension in the lower segment of the belt. The moment of inertia of a solid disk can be calculated using the equation:
\(\[ I = \frac{1}{2} m r^2 \]\)
where m is the mass of the flywheel and r is its radius. Substituting this into the torque equation, we have:
\(\[ T_{\text{u}} \cdot r_{\text{pulley}} = \frac{1}{2} m r^2 \cdot \alpha \]\)
Rearranging the equation, we can solve for the tension in the lower segment of the belt:
\(\[ T_{\text{u}} = \frac{1}{2} \frac{m r^2 \alpha}{r_{\text{pulley}}} \]\)
Plugging in the given values, with the mass of the flywheel (m = 66.5 kg), radius of the flywheel (r = 0.625 m), radius of the pulley \((r_{\text{pulley}} = 0.230 m)\), and the angular acceleration \((\alpha = 1.67 rad/s^2)\), we can calculate the tension in the lower segment of the belt:
\(\[ T_{\text{u}} = \frac{1}{2} \frac{66.5 \cdot 0.625^2 \cdot 1.67}{0.230} = 219 \, \text{N} \]\)
Therefore, the tension in the lower segment of the belt is 219 N.
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the orbital angular momentum of an electron has a magnitude of 4.716×10−34kg⋅m2/s.
The angular-momentum quantum number l for this electron will be:
L= sqrt [l(l+ 1)]h
4.716e-34 J-s = sqrt[l(l+1)] (6.626e-34 J-s)/(2TT)
20 = l(l + 1)
l= 4
What is angular momentum?
In physics, angular momentum (rarely momentum or angular momentum) is the rotational analogue of linear momentum. It is an important physical quantity because it is conserved. The total angular momentum of a closed system remains constant. Angular momentum has both direction and magnitude, both of which are conserved.
A useful property of bicycles, motorcycles, frisbees, bullets, and gyroscopes is due to the conservation of angular momentum. Conservation of angular momentum is also why hurricanes spin in spirals and neutron stars spin at high speeds. Conservation generally limits the possible motion of the system, but does not explicitly determine it.
Therefore, The angular-momentum quantum number l for this electron will be 4.
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Allen, who was bullied as a child, feels anxious whenever he sees a gang of teenagers walking toward him. As a result, he usually crosses the street so that he does not have to walk past them. This example best illustrates the _____.
The example best illustrates the conditioned response.
Classical conditioning is a psychological process where a previously neutral stimulus (in this case, a gang of teenagers walking toward Allen) becomes associated with a naturally occurring stimulus (bullying in Allen's past) and elicits a similar response (anxiety) even in the absence of the original stimulus.
Allen's experience of being bullied as a child has led to an association between the presence of a gang of teenagers and feelings of anxiety. This anxiety when seeing the teenagers is the conditioned response that has been conditioned through past negative experiences.
Consequently, Allen's avoidance behavior, crossing the street to avoid walking past the gang, is a learned response to manage and alleviate his anxiety.
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Iron meteorites are interpreted as deriving from the cooled metallic core of a largeish asteroid. This is based upon:
Answer:
This is based upon the fact that meteorites are generally believed to have originated as solid debris from Larger bodies like meteoroid or asteroids
Explanation:
Iron meteorites are interpreted as deriving from the cooled metallic core of a larger asteroid , because meteorites are generally believed to have originated as solid debris from Larger bodies like meteoroid or asteroids that are located outside the planet but found their way into our planet .
An astronaut drops a feather from 1.2 m above
the surface of the moon. If the acceleration of
gravity on the moon is 1.62 m/s2 downward,
how long does it take the feather to hit the
moon's surface?
It take "1.49 sec" to hit the moon's surface. A further explanation is provided below.
According to the question,
Height,
d = 1.2 m/sAcceleration of gravity,
a = 1.62 m/s²Initial velocity,
u = 0With the help of the equation,
→ \(t^2 = \frac{2d}{a}\)
By substituting the values, we get
→ \(= \frac{2\times 1.2}{1.62}\)
→ \(= \frac{2.4}{1.62}\)
→ \(= 1.49 \ sec\)
Thus the above answer is right.
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A physics demo launches a ball horizontally while dropping a second ball vertically at exactly the same time. Which ball hits the ground first?
Launched (horizontally) ball Dropped ball Both hit at the same time
In this physics demonstration, the ball that is dropped vertically and the one that is launched horizontally will both make contact with the ground at distinct times. The ball that falls vertically will first hit the ground.
This is because the force of gravity acts downward on both balls, causing them to accelerate toward the ground. However, the horizontally launched ball experiences the launch force as well, giving it an initial horizontal velocity. The ball's rate of descent to the ground is slowed by this horizontal velocity, resulting in a longer time spent on the ground.
On the other hand, the vertically dropped ball only experiences the force of gravity because it has no initial horizontal velocity. This indicates that it descends straight down at a steady rate and reaches the ground earlier than the horizontally launched ball.
What is speed?The rate at which an object's position changes over time is measured by its velocity. It has magnitude and direction because it is a vector quantity. Meters per second (m/s) is the International System of Units (SI) standard for measuring velocity.
Mathematically, velocity can be represented as:
v = x/t, where x is the object's change in position (or displacement), t is the change in time, and v is the velocity.
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Conversion of electromagnetic (EM) energy from the sun into other forms of energy occurs for (select all that apply) a. Biofuels (EM to chemical bonds during photosynthesis)
b. Hydroelectric power (EM to evaporation and precipitation of water)
c. Solar thermal power (EM to motion of exchange fluid)
d. Photovoltaic power (EM to electricity, the movement of particles)
e. Wind power (EM to air movements)
Conversion of electromagnetic (EM) energy from the sun into other forms of energy occurs for the following options:
a. Biofuels
c. Solar thermal power
e. Wind power (EM to air movements)
A- Biofuels: During photosynthesis, plants capture electromagnetic energy from the sun and convert it into chemical energy, stored in the bonds of organic molecules, such as glucose. This process allows for the conversion of EM energy to chemical energy in the form of biofuels.
c. Solar thermal power: Solar thermal power plants use mirrors or lenses to concentrate sunlight, which is then converted into heat energy. This thermal energy can be used to generate steam, which drives a turbine and produces mechanical energy.
e. Wind power: Wind turbines harness the kinetic energy of moving air, which is ultimately driven by the sun's uneven heating of the Earth's surface. The sun's energy heats the atmosphere, creating temperature and pressure gradients that result in wind currents.
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Based on law conservation of mass , which of the following is a true statement
A) The mass of the products is always greater than the mass of the materials which react in a chemical change
B) The mass of a product is always less than the mass of materials which react in a chemical change
C) Matter is neither lost nor gained during a chemical change
D) A certain mass is a material must be present for a reaction to occur
Answer:
c
Explanation:
Matter or mass cannot be created nor be destroyed in a chemical reaction ..according to law of conservation
The force between two objects is 200 n. if the distance between the two objects is doubled, the new force is
The force between two objects is directly proportional to the distance between them squared. If the distance between the two objects is doubled, the new force will be \($\frac{1}{4}$\) of the original force.
The force between two objects can be expressed by the equation:
\(\[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \]\)
where F is the force, G is the gravitational constant, \(\( m_1 \)\) and \\(\( m_2 \)\) are the masses of the objects, and r is the distance between them.
In this case, we have a force of 200 N between the objects. If the distance between them is doubled, the new distance r' will be twice the original distance r . Plugging in these values into the equation, we can calculate the new force:
\(\[ F' = \frac{G \cdot m_1 \cdot m_2}{(2r)^2} = \frac{G \cdot m_1 \cdot m_2}{4r^2} = \frac{1}{4} \left(\frac{G \cdot m_1 \cdot m_2}{r^2}\right) = \frac{1}{4} F \]\)
Therefore, the new force between the objects will be one-fourth (1/4) of the original force, which means it will be 50 N.
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Hanna wants to calculate the terminal velocity of a typical meteorite just before it hits Earth. She researches meteorites at the
library and on the internet. What information does she need to find? (1 point)
O a typical meteorite's weight, surface area, and coefficient of drag; air density close to Earth
O a typical meteorite's surface area and coefficient of drag; air density close to Earth
O a typical meteorite's mass and average velocity
O a typical meteorite's weight, surface area, and coefficient of drag
After then, the meteorite accelerates quickly to achieve its terminal speed, which is between 200 and 400 miles per hour (90 to 180 meters per second).
How do astronomers determine the origin of a meteorite that reaches Earth?The meteorite then swiftly reaches its final velocity, which is between 200 and 400 miles per hour (90 to 180 meters per second). The terminal velocity is the speed at which the acceleration caused by gravity is precisely cancelled out by the deceleration caused by atmospheric drag.
Researchers first classify the sort of rock in their investigation before dating the meteorite to ascertain its origin. Nakhla indicated that it originated 1.3 billion years ago, a significant amount of time after the majority of other meteorites, which date from the Solar system's creation, 4.56 billion years ago.
Meteorites are priced and sold by the gram because they are so rare. Price is influenced by a number of factors, including demand, scarcity, supply, specimen size, specimen quality, and preparation effort. The average cost per gram of a common iron meteorite is between US$0.50 and US$5.00.
Therefore, the correct answer is option d) a typical meteorite's weight, surface area, and coefficient of drag.
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For the following elementary reaction 2br• -> br2-. The rate of consumption of the reaction and the rate of formation of product is given by which set of expression?
Answer: \(-\frac{1}{2}\times \frac{d[Br^.]}{dt}=+\frac{d[Br_2]}{dt}\)
Explanation:
Rate of a reaction is defined as the rate of change of concentration per unit time.
Thus for reaction:
\(2Br^.\rightarrow Br_2\)
The rate in terms of reactants is given as negative as the concentration of reactants is decreasing with time whereas the rate in terms of products is given as positive as the concentration of products is increasing with time.
\(Rate=-\frac{d[Br^.]}{2dt}\)
or \(Rate=+\frac{d[Br_2]}{dt}\)
Thus \(-\frac{d[Br^.]}{2dt}=+\frac{d[Br_2]}{dt}\)
Can someone please explain
1) Centripetal force with example
2) Centrifugal force with example
3) Circular motion with example
Explanation:
centripetal force is a force that makes a body follow a curved path. for example, twirling,a lasso, cream seperator etc.
A force that causes an objectmoving in a circular path to move out and away from the centres of it's path is centrifugal force. for example,drifting, banked roads, washing machine etc.
Circular motion is a movement of an object along the circumference of a circle or rotation along a circular path. for example, stirring batter, stone tied to a string etc
hope its helpfull♡
a 900 N crate slides 12m down a ramp that makes an angle of 35 degrees with the horizontal. If the crate slides at a constant speed, how much thermal energy is created
The thermal energy created when the crate slides at the given distance is 6,192.8 J.
The given parameters;
weight of the crate, W = 900 Ndistance traveled by the crate, d = 12 mangle of inclination, θ = 35⁰The thermal energy created is the energy lost due to friction and it is calculated as follows;
\(W = \mu F_n d\)
where;
\(\mu\) is the coefficient of friction
The coefficient of friction is calculated as;
\(\mu = tan(\theta)\\\\\mu = tan(35)\\\\\mu = 0.7\)
The work done against friction is calculated as;
\(W = \mu F_n d\\\\W = \mu (Wcos\theta ) d\\\\W = 0.7 \times 900 \times cos(35) \times 12\\\\W = 6,192.8 \ J\)
Thus, the thermal energy created when the crate slides at the given distance is 6,192.8 J.
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How do you solve problems involving acceleration
Answer:
Velocity/time =acceleration
Acceleration x time = velocity
Velocity/acceleration=time