The angular acceleration of the electric motor is -100 rotations per second squared.
To determine the angular acceleration of the electric motor, we can use the formula for angular acceleration:
Angular acceleration (α) = (final angular velocity - initial angular velocity) / time
Given:
Initial angular velocity (ω₁) = 900 rotations
Final angular velocity (ω₂) = 400 rotations
Time (t) = 5 seconds
Plugging in these values into the formula, we can calculate the angular acceleration:
α = (ω₂ - ω₁) / t
= (400 - 900) / 5
= -500 / 5
= -100 rotations per second squared
Therefore, the angular acceleration of the electric motor is -100 rotations per second squared. The negative sign indicates that the motor is decelerating or slowing down.
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A skydiver of mass 100 kg opens his parachute when he is going at 25 m/s. The parachute experiences 1200 N of air resistance. How fast will the skydiver be falling 6 seconds after opening the chute?
Therefore, the skydiver will be falling at a speed of 97 m/s six seconds after opening the chute.
Given that a skydiver of mass 100 kg opens his parachute when he is going at 25 m/s and the parachute experiences 1200 N of air resistance. We need to calculate how fast the skydiver will be falling 6 seconds after opening the chute.The formula for calculating the force of air resistance on a body is given by:
\(f_air = 1/2 * rho * A * Cd * v^2\)
Where f_air is the force of air resistance, rho is the density of air, A is the cross-sectional area of the object, Cd is the drag coefficient of the object and v is the speed of the object.
Here, we know the force of air resistance experienced by the skydiver as 1200 N. Therefore, we can write:
\(1200 = 1/2 * rho * A * Cd * 25^2A\)
skydiver free-falls with an initial speed of 25 m/s after he opens his parachute. Since we know the force of air resistance, we can calculate the acceleration experienced by the skydiver as:
F = ma => a
= F/m => a
= 1200/100 => a
= 12 m/s^2
We know the time duration for which the skydiver falls as 6 seconds.
Therefore, we can calculate the final velocity of the skydiver using the following formula:
v = u + at
where, v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time duration.
Substituting the given values, we get:
v = 25 + (12*6) => v
= 97 m/s
Therefore, the skydiver will be falling at a speed of 97 m/s six seconds after opening the chute.
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the pitcher's mound is 18.5 m to home plate. if the pitcher throws a ball there in 0.46 seconds how fast is that?
Answer:
see below
Explanation:
18.5 m in .46 sec = 18.5 /.46 m/s = 40.2 m/s
What power will be required to raised a 1500kg beam to height of 14 meters in 10 minutes.
\( \mathcal{PLEASE \: \: HELP}\)
Answer:
343 wattsExplanation:
m = 1500 kgg = 9.8 m/s²h = 14 mt = 10 min = 600 sPower = mgh/t
= 1500 * 9.8 * 14 / 600 = 343 watts
Answer:
Power = 343 watts
Explanation:
The formula we use,
→ P = (m × g × h)/t
Then the required power will be,
→ P = (m × g × h)/t
→ P = (1500 × 9.8 × 14)/600
→ P = 205800/600
→ [ P = 343 watts ]
Hence, the answer is 343 watts.
find the angle between the vectors. u = (2, 3, 0), v = (3, −2, 1)
Therefore, the angle between vectors `u` and `v` is 90°.
To find the angle between two vectors, we can use the formula:
`cos(θ) = (u . v) / (||u|| ||v||)`
Where u and v are vectors, `.` is the dot product of vectors and || || is the magnitude of a vector.θ is the angle between the two vectors.
In this problem, we need to find the angle between vectors `u` and `v`.
We have the following vector
s:u = (2, 3, 0) and v = (3, −2, 1)
Let's find the dot product of vectors `u` and `v`.u .
v = 2 × 3 + 3 × (−2) + 0 × 1
= 6 − 6 + 0
= 0
Let's now find the magnitudes of vectors `u` and `v`.||u|| = √(2² + 3² + 0²) = √(13) and
||v|| = √(3² + (−2)² + 1²)
= √(14)
Now, we can use the formula to find the angle between vectors `u` and `v`.cos(θ) = (u . v) / (||u|| ||v||)cos(θ)
= 0 / (√(13) × √(14))cos(θ)
= 0θ
= cos⁻¹(0)θ
= 90°
The angle between the vectors u = (2, 3, 0) and v = (3, −2, 1) is 90 degrees.
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in what tasks or jobs could refraction be dangerous. Please help its very urgent!!
The tasks that refraction can be dangerous is when a person is always on a swimming pool that does looks shallower than it was due to the light that is being emitted from the bottom of the pool and thus bends at the surface as a result of refraction of light and also when a person is Working in the light-production crew.
Does refractive error pose a threat?Two papers from very different parts of the world, Australia and India, published in the late 1990s, emphasized the fact that uncorrected refractive error was a significant contributor to blindness and the primary cause of vision impairment.
Therefore, When the retina is not properly illuminated by the eye, refractive error occurs. It might result in vision blur. If your child exhibits any symptoms of eye issues, you should take them to an eye doctor for a thorough eye examination.
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How does momentum play in tackling?
Answer:
When two players are running full speed at each other on a football field they build up their momentum
An inclined plane has a mechanical advantage of 6. 7. If input force is 120 pounds, how much weight can be moved ?
With a mechanical advantage of 6.7 and an input force of 120 pounds, the inclined plane can move a weight of approximately 804 pounds.
The mechanical advantage of an inclined plane is calculated by dividing the length of the plane by its height. In this case, since the mechanical advantage is given as 6.7, it means that for every 6.7 units of length along the inclined plane, there is a unit of height.
To determine the weight that can be moved, we need to consider the relationship between the input force and the weight. The weight that can be moved is equal to the product of the input force and the mechanical advantage.
In this scenario, the input force is 120 pounds, and the mechanical advantage is 6.7. Multiplying these values together gives us approximately 804 pounds. Therefore, with an input force of 120 pounds, the inclined plane can move a weight of around 804 pounds.
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If the refractive index from air to water, nw = 1.3 and the velocity of light in the air is
3 x 108 m/s, what is the velocity of light in water?
Answer:
\(n _{w} = \frac{c}{v} \\ 1.3 = \frac{3 \times {10}^{8} }{v} \\ v = \frac{3 \times {10}^{8} }{1.3} \\ v = 2 \times {10}^{8} \: m {s}^{ - 1} \)
Need help!!!
If the voltage between 2 plates is 20 V and they are separated by 2 m, what is the electric field?
Answer is:
E= V/d = 20.0Volts/ 0.020m = 1000 N/C
A restoring force of magnitude F acts on a system with a displacement of magnitude x. In which of the following cases will the system undergo simple harmonic motion? a. F directly proportional to x^2 b. F directly proportional to x c. F directly proportional to 1/x
d. F directly proportional to sin x
The system will undergo simple harmonic motion in the case where the restoring force is directly proportional to the displacement (option b).
In simple harmonic motion, the restoring force acting on the system is directly proportional to the displacement from the equilibrium position. This relationship is given by Hooke's Law: F = -kx, where F is the restoring force, x is the displacement, and k is the spring constant.
Option a (F directly proportional to x²) does not correspond to simple harmonic motion because the force is proportional to the square of the displacement, which does not follow Hooke's Law.
Option c (F directly proportional to \(\frac{1}{x}\)) does not correspond to simple harmonic motion either because the force is inversely proportional to the displacement, which is not consistent with Hooke's Law.
Option d (F directly proportional to sin x) does not represent a linear relationship between the force and displacement. Simple harmonic motion requires a linear relationship, not a trigonometric one.
Therefore, only option b (F directly proportional to x) satisfies the conditions for the system to undergo simple harmonic motion.
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the value of the normal force exerted on a 2,000 gram block on a table
Answer:
N = 19.6 N
Explanation:
Given that,
Mass of a block, m = 2000 g
1 kg = 1000 g
It means, 2000 g = 2kg
We need to find the value of normal force on the block on a table. Normal force is balanced by the weight of the block as follows :
N = mg, g is acceleration due to gravity
N = 2 kg × 9.8 m/s²
N = 19.6 N
So, the normal force acting on the block is 19.6 N.
A crate with a mass of 50
kg sits at rest on a inclined plane at a 30 degree angle. Calculate: a) the
normal force, b) the force of friction, c) the coefficient of friction, and d)
the weight (in newtons) of the box
Answer:
First at all normal force
Explanation:
F= MG ( 50kg)(9.8m/s)= 490 N
4. How do the different components affect the flow of charges?
Answer:
negatively
Explanation:
what does this picture have do with motion,scalar and vectors,the laws of motion,momentum, fundamental forces,work and power,and the picture could be related?
The motion is defined as the change in position with respect to time. Force is defined as the product of the mass and acceleration of the object. Power is defined as the work per unit of time.
From the given,
The first image shows the ball is at rest. By using, Newton's first law of motion is defined as the object continuing to be at rest or in uniform motion unless an external force acted on it. If the ball is kicked, the ball which is initially at rest starts to move depending on the applied external force.
The ball moves in a particular direction and hence force is the vector quantity. When the force acts on the ball, work is done, and is equal force and displacement.
The second image shows the car in motion. The car moves in a particular direction, speed of the car gives velocity. Velocity is the vector quantity and the momentum is defined as the product of mass and velocity. When there is a change in velocity, gives rise to acceleration. Acceleration gives force by using Newton's second law of motion.
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How are ocean waves different from waves experienced in an earthquake?
When an earthquake occurs, rocks at a fault line slip or break, and two sections of Earth's crust physically move relative to one another. That movement releases energy, and two types of seismic waves radiate outward from the earthquake through Earth's interior and along its surface.
WHEREAS
Ocean waves are created by energy passing through water, causing it to move in a circular motion. ... Wind-driven waves, or surface waves, are created by the friction between wind and surface water. As wind blows across the surface of the ocean or a lake, the continual disturbance creates a wave crest.
An observer notices that the sun is directly overhead at midday during the summer solstice. what is this observer's latitude upon the earth?
Answer:
At 23.5 deg north of the equator this person would see the sun directly overhead at the summer solstice at noon
a radiometer has two square vanes (1.0 cm by 1.0 cm), attached to a light horizontal cross arm, and pivoted about a vertical axis through the center, as shown in the figure. the center of each vane is 6.0 cm from the axis. one vane is silvered and it reflects all radiant energy incident upon it. the other vane is blackened and it absorbs all incident radiant energy. an electromagnetic wave with an intensity of 0.30 kw/m2 is incident normally upon the vanes. what is the radiation pressure on the blackened vane?
The radiation pressure on the blackened vane is 0.03 N/m².
To determine the radiation pressure on the blackened vane, we can use the formula for radiation pressure:
P = I * A
where:
P is the radiation pressure,
I is the intensity of the electromagnetic wave,
A is the area over which the radiation is incident.
In this case, the intensity is given as 0.30 kW/m², but we need to convert it to watts per square meter (W/m²) for consistency. Recall that 1 kW is equal to 1000 W.
0.30 kW/m² * 1000 W/kW = 300 W/m²
The area over which the radiation is incident on the blackened vane is the surface area of one of the vanes. Since the vanes are square and have dimensions of 1.0 cm by 1.0 cm, the area is:
A = (1.0 cm)² = (0.01 m)² = 0.0001 m²
Now we can calculate the radiation pressure on the blackened vane:
P = I * A = (300 W/m²) * (0.0001 m²) = 0.03 N/m²
Therefore, the radiation pressure on the blackened vane is 0.03 N/m².
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A uniform lead sphere and a uniform aluminum sphere have the same mass. What is the ratio of the radius of the aluminum sphere to the radius of the lead sphere?
The ratio of the radius of the aluminum sphere to the radius of the lead sphere can be represented as:
\(\displaystyle \frac{r_{Al}}{r_{Pb}} =\sqrt[3]{\frac{\rho_{Pb}}{\rho_{Al}} }\)
What is the density?The density of a material can be measured as the mass per unit volume of the material. The average density equals the mass divided by its total volume.
The mathematical formula for the density can be expressed as follows:
Density = Mass/Volume
The S.I. unit of the density that is used to measure is Kg/m³. If the size increases, the mass increases as well but the density remains constant.
Given the mass of the Al = mass pf the Pb
The ratio density of the Al and Pb can be represented as:
\(\displaystyle \frac{\rho_{Al}}{\rho_{Pb}} } = \frac{m/4\pi r_{Al}^3}{m/4\pi r_{Pb}^3}\)
\(\displaystyle \frac{\rho_{Al}}{\rho_{Pb}} } = \frac{ r_{Pb}^3}{r_{Al}^3}\)
\(\displaystyle \frac{r_{Al}}{r_{Pb}} =\sqrt[3]{\frac{\rho_{Pb}}{\rho_{Al}} }\)
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Light passes straight through two vertical polarizers. The axes of the filters are aligned parallel to each other. How does the light that passes through the second filter compare to the light that passed through the first filter?.
When light passes through the first filter then it will also pass through the second filter. All of the light will pass through both filters.
Polarization:
Polarization is a property applied to transverse waves that specify the geometrical orientation of the oscillations. In a transverse wave, the direction of the oscillation is perpendicular to the direction of motion of the wave.
When the axes of the first and second filters are aligned (parallel), then all of the polarized light passed by the first filter is also passed by the second. If the second polarizing filter is rotated, only the component of the light parallel to the second filter's axis is passed.
Therefore all the light will pass through both filters.
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Iron (Fe) is classified as a metal while Silicon (Si) is classified as a metalloid. Which physical property do these two elements most likely have in common? They both
A.exist as gases at room temperature
B.have a metallic shine or luster
C.are brittle and shatter easily
D.conduct electricity very well
Answer:d
Explanation:
Physical property do these two elements most likely have in common They both D.conduct electricity very well
Iron is a metal specifically known as a transition metal. It fits the description of metals, as it is silvery gray, ductile, and malleable.
high melting points.good conductors of electricity.good conductors of heat.high density.malleable.ductile.silicon is known as a chemical analogue to carbon. But unlike carbon, silicon a metalloid
The physical properties of silicon Exists as a solid at room temperature and pressure.Has a metallic luster (a metal-like appearance)It is very brittle.It is a semiconductor (can be made to conduct electricity under certain conditions)Melting point: 1410 degrees Celsius.Boiling point: 3265 degrees Celsius.Slicon is classified as a metalloid since some of its properties are similar to those of metals and some of its properties are similar to those of nonmetals. For example, silicon is known to have a bluish-grey metallic lustre but is not an amazing conductor of electricity.physical properties of iron It is a heavy metal with a density of 7.9 g/cc.It is a lustrous metal, greyish white in colour.It has highly malleable and ductile.It is a good conductor of heat and electricity.It can be magnetised.Iron is a chemical element with symbol Fe and atomic number 26. Classified as a transition metal, Iron is a solid at room temperature. It begins to rust in damp air and at elevated temperatures, but not in dry air. It dissolves readily in dilute acids, and is chemically active.Learn more about physical properties of Fe and Si, refer
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whos still awake???
Answer:
definitely not me
Explanation:
why would I?
is toasting a piece of bread an example of a physical or chemical change?
Toasting a piece of bread is an example of a chemical change. It can't be reversed that's why it is irreversible.
During toasting, the heat causes a chemical reaction in the bread known as the Maillard reaction. This reaction occurs between the amino acids and the reducing sugars in the bread, which results in the formation of new compounds, including melanoidins, which give the bread its characteristic brown color and flavor.
Furthermore, toasting also involves the evaporation of water from the bread, which changes its texture and makes it crispier.
Therefore, toasting a piece of bread involves chemical changes in the bread's composition, resulting in the formation of new compounds, which is why it is considered a chemical change.
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I will give you more points if you want!!! :)
But first please answer the following question!
Answer:
thank you very much for giving me points.
Explanation:
I really appreciate it so muchhhhh so muchhhh thanks again
When we talk about the temperature, luminosity, and chemical composition of the Sun, what particular layer of the Sun are we talking about?a. Photosphereb. Chromospherec. Coronad. Radiative zone
The layer of the Sun that we are generally referring to when discussing the temperature, luminosity, and chemical composition is the option (a) photosphere.
When discussing the temperature, luminosity, and chemical composition of the Sun, we are generally referring to the photosphere, which is the visible surface layer of the Sun. The photosphere has a temperature of around 5,500 degrees Celsius and emits most of the visible light that we see.
The other layers of the Sun, such as the chromosphere and corona, have different properties and are generally studied separately. The radiative zone is located below the photosphere and is where energy generated by nuclear fusion in the core is transported outwards.
Therefore, the correct option is (a) photosphere.
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which are measurement options for the ruler in photoshop
Pixels, points, and picas are measurement options for the ruler in Photoshop.
Photoshop is a powerful image editing software developed by Adobe Systems. It allows users to manipulate and enhance digital images and graphics with a wide range of tools and features. Photoshop has a range of advanced features, including the ability to remove unwanted objects from photos, merge multiple images, create 3D graphics, and apply special effects and filters. It also offers support for plugins and scripting, which extends its capabilities even further.
Photoshop is widely used in industries such as graphic design, photography, web design, and advertising, among others. It is considered the industry standard for image editing software and is continually updated with new features and improvements to keep up with evolving technology and user needs.
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Complete Question: -
Which are measurement options for the ruler in Photoshop? Choose three answers.
the success of the ballets russes was largely due to the leadership of serge diaghilev. True/False ?
The statemen "the success of the ballets russes was largely due to the leadership of serge diaghilev " is True.
The success of the Ballets Russes was indeed largely due to the leadership and vision of Serge Diaghilev. Diaghilev was a Russian art critic, impresario, and founder of the Ballets Russes, a renowned ballet company that operated from 1909 to 1929. Under Diaghilev's direction, the Ballets Russes revolutionized the world of ballet, combining the talents of exceptional dancers, choreographers, composers, and artists.
Diaghilev had a keen eye for talent and collaborated with prominent artists and composers of his time, including Igor Stravinsky, Sergei Prokofiev, Vaslav Nijinsky, and Pablo Picasso, among others. He introduced groundbreaking choreography, innovative set designs, and vibrant costumes, challenging the traditional conventions of ballet. Diaghilev's ability to assemble and nurture a team of creative geniuses and his penchant for pushing artistic boundaries played a pivotal role in the success and influence of the Ballets Russes.
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The rotating drum in a clothes-dryer has a radius of 0.31 m. If the acceleration at the rim of the drum is 27 m/s2, what is the tangential speed of the rim?
Answer:
v = 2.89 m / s
Explanation:
This is a kinematics exercise, the centripetal acceleration is
a = v² / r
where a is the acceleration, v is the velocity and r the radius
let's clear
v = √a r
let's calculate
v = √ (27 0.31)
v = 2.89 m / s
this is the speed of the drum which is constant
The tangential speed of the rim will be "2.89 m/s".
Tangential speed:Tangential speed seems to be the rate beyond which the item moving throughout a circle travels.
A wider radius indicates that perhaps the thing goes a considerable distance.
According to the question,
Radius, r = 0.31 m
Acceleration, a = 27 m/s²
We know,
→ \(a = \frac{v^2}{r}\)
or,
→ \(v= \sqrt{ar}\)
By substituting the values,
\(= \sqrt{27\times 0.31}\)
\(= 2.89 \ m/s\)
Thus the answer above is right.
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volleyball falls on sand at timet 0 ms and quickly comes to rest. ... The Net Force On The Ball Over Time Is Shown Below Force (N) 3 2 T-> Time(ms ) 15 10 15 20 25 ... Note That Time Is In Ms. Kg M ..
Answer:.05 kg*m over s
Explanation:did the work
What is the density of an object with the mass of 125g and a volume of 176 m
Answer:
the density is mass over volume, so you divide 125g over 25 cm3, giving a result of 5 g/cm3
Answer:
The density is mass over volume
so you divide 125g over 25 cm3
giving a result of 5 g/cm3
you welcome have a good day!
why is it, that no matter what we do in life, we die.
Answer:
the time comes eventually.
Explanation:
ur body just be giving up