26.0898 rad/s is the angular velocity of a rotor in a blender.
Given
Initial velocity (ω₁) = 55.0 rad/s
Deceleration (α) = -40.7 rad/s²
Angle (θ) = 28.8 rad
Final angular velocity (ω₂) =?
According to the angular kinematic equation
ω₂² = ω₁² + 2αθ
Put the values of ω₁, α, and θ in the equation
We get,
ω₂² = (55)² + 2(₋40.7)(28.8)
ω₂² = √680.68
ω₂ = 26.0898 rad/s
Hence, 26.0898 rad/s is the angular velocity of a rotor in a blender after turning 28.8 rad.
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Two large parallel conducting plates are 9.0 cm apart and carry equal but opposite charges on their facing surfaces. The magnitude of the surface charge density on either of the facing surfaces is 3.7 nC/m 2. Determine the magnitude of the electric potential difference between the plates.
The magnitude of the electric potential difference between the plates is 37.63 V.
Given:
Distance between the plates, d = 9 cm
Surface charge density, ρ = 3.7 nC/m² = 3.7 × 10⁻⁹ C/m²
Calculation:
For two parallel plate conductors, the electric field is given as:
E = ρ/ε₀
where ρ is the charge density
ε₀ is the permeability of free space
Applying values in the above equation we get:
E = ( 3.7 × 10⁻⁹ C/m²)/(8.85 × 10⁻¹² C²/m)
= 418.08 V/m
Now, the potential difference between the plates separated by a distance 'd' is given as:
ΔV = Ed
where E is the electric field
d is the distance of separation between the plates
Applying values in the above equation we get:
ΔV = (418.08 V/m) × (0.09 m)
= 37.63 V
Therefore, the magnitude of the electric potential difference between the plates is 37.63 V.
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A 1.5 kg ballistic cart, moving at 2.8 m/s, ejects a 25 g ball vertically with an initial velocity of 6.5 m/s. What is the magnitude of the initial velocity of the ball relative to the ground?
a. 2.8 m/s
b. 9.3m/s
c. 7.1 m/s
d. 6.5 m/s
The magnitude of the initial velocity of the ball relative to the ground is 9.3 m/s.
What is relative velocity?Relative velocity is the velocity of an object relative to another moving in the same plane. On frame of reference is used when measuring relative velocity.
The velocity of the ball relative to the ground is the sum of the velocity of the ballistic cart and the velocity in which the ball is ejected.
The velocity of the ball relative to the ground = 6.5 m/s + 2.8 m/s = 9.3 m/s
In conclusion, relative velocity measures the velocity of an object from a reference point.
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Which type of graph could be easily converted into a pie chart?
A. Variable plot
B. Scatter plot
C. Bar graph
D. Line graph
Answer:
D.Linegraph
Explanation:
Linegraph could be easily converted into a pie chart
Answer:
bar graph
Explanation:
Martha is late for class, so she races her 75 kg body up a 4.0 meter flight of stairs in only 2.3 seconds. What is Martha’s power?
Group of answer choices
a. 1,300 W
b. 6,800 W
c. 130 W
d. 680 W
Martha's power is 1,300 W and is denoted as option A.
What is Power?This is defined as the amount of energy used or transferred per unit time and the S.I unit is Watts.
Power = Work/ time
Work = force × distance
= F = ma = 75kg× 10m/s² = 750N
Work = 750N × 4m = 3000J
Power = work/time = 3000J/ 2.3s ≈ 1300W
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Select each of the following that are recessive alleles represented in the genotype AaBb. Check All That Apply AA BB aa bb
Option (c) and (d) are correct
a and b are the recessive alleles represented in genotype AaBb.
An allele is a different nucleotide sequence that codes for the production of a gene product at the same location on a lengthy DNA molecule.
Recessive Allele : A particular allele that, when present alone, has no effect on the person. The expression of the trait requires the presence of two copies of the allele.
Dominant Allele : A dominant allele is a gene variant that will result in a specific phenotype even when there are other alleles present.
Genotype - The genetic configuration that determines the features that an organism inherits from its parents is known as a genotype.
Phenotype - The term "phenotype" refers to an organism's observable physical characteristics, such as its appearance, growth, and behavior.
Hence (a) & (b) are the recessive alleles represented in the genotype AaBb.
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7. A 78-kg skydiver has a speed of 62 m/s at an altitude of 870 m above the ground.
a. Determine the kinetic energy possessed by the skydiver.
b. Determine the potential energy possessed by the skydiver.
Determine the total mechanical energy possessed by the skydiver.
timore City Public fab
The kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.
To find the answer, we need to know about the expression of kinetic energy and potential energy.
What are the expressions of kinetic energy and potential energy?Mathematically, kinetic energy= 1/2 × mass × velocity²Gravitational potential energy near the earth surface= mass × g × height on the earth surfaceWhat's the kinetic energy, potential energy and total mechanical energy of the 78kg skydriver at 870 m on earth surface with 62 m/s velocity?Kinetic energy= 1/2 × 78 × 62² = 1.5 × 10⁵ JoulePotential energy= 78×9.8×870= 6.7× 10⁵ JouleWhat's the total mechanical energy?Mechanical energy= kinetic energy+ potential energy 1.5 × 10⁵ Joule + 6.7× 10⁵ Joule = 8.2× 10⁵ JouleThus, we can conclude that the kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.
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Which of the following is an example of a primary source?
Answer:
An article written by a scientist .
Explanation:
Primary sources information are those that contain first hand information probably from the place of the activities or by the original contact of the information (source ) .
So primary information is normally contained in artifact , journals , letter , dissertations manuscripts , videos and audio recordings .
The fact that the article is written by the scientist means he is the one who has the original information hence he is the first person to access the information , meaning he is the original owner .
Using the criteria you described in your previous answer, how would you compare solar power to fossil fuel power?
Solar power differ to fossil fuel power in that solar power is a much more optimal resource than fossil fuels
Solar power; however provides much more energy than fossil fuel powerInterestingly too, solar power resource can be used without releasing greenhouse gases compared to fossil fuels powerInfact, solar energy is the most reliable What is renewable energy?Renewable energy simply refers to energy that is not depleted when used. An example of such is solar power.
So therefore, solar power differ to fossil fuel power in that solar power is a much more optimal resource than fossil fuels
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A 10 kg box initially at rest is pulled with a 50 N horizontal force for 4 m across a level surface. The force of friction acting on the box is a constant 20 N. How much work is done by the 50 N force?
The work is done by the 50 N force is 200 J.
Work done by the 50 N forceWork done = Fd
where;
F is Force applied d is the displacement of the objectWork done = 50 N x 4 m = 200 J
Thus, the work is done by the 50 N force is 200 J.
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To correct myopia (nearsightedness) requires ___________ lenses; to correct hyperopia (farsightedness) requires _____________ lenses to correct.
By using concave lens, we can correct Myopia and Hyperopia can be corrected by convex lenses.
To find the answer, we need to know about Myopia and Hyperopia.
What is Myopia and Hyperopia?Myopia is an optical defect, in which a person can see nearby objects clearly and cannot see far off objects clearly.Here the eyeball becomes too longer, and the focal length of eye lens become too short.It can be corrected by using concave lens.For Hyperopia, the person can see far off objects clearly and cannot see nearby objects clearly.This can be corrected by using convex lens.Thus, we can conclude that, by using concave lens, we can correct Myopia and Hyperopia can be corrected by convex lenses.
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Myopia can be corrected using concave lenses, while the Hyperopia is corrected by convex lenses.
We need to be aware of myopia and hyperopia in order to locate the solution.
Myopia and hyperopia: what are they?Myopia is an optical defect in which a person can see clearly up close but not clearly far away.Here, the eyeball lengthens excessively and the eye lens focal length contracts.Concave lenses can be used to rectify it.A person with hyperopia can clearly see distant objects but cannot see nearby objects clearly.Convex lenses can be used to fix this.Thus, we can deduce that myopia and hyperopia can be corrected using concave lenses and convex lenses, respectively.
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Which kinetic chain checkpoint should be observed carefully because it controls the movement of the lower extremities? The hip The knee The shoulder The head and neck
The hip is the kinetic chain checkpoint which controls the movement of the lower extremities and is denoted as option A.
What is Hip?
This part of the body has a ball-and-socket joint and ensures adequate movement of the legs.
The legs and other parts such as ankle etc are referred to as the lower extremities thereby making it the most appropriate choice.
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As the electric potential near the ground increases during a thunderstorm, a positive charge current can move up pointed objects, such as masts of ships, producing a luminous halo or glow known as ____.
Answer:
St. Elmo's Fire - well known to old time sailors
What force would require an 8-kg bowling ball to accelerate at a rate of 5 meters per second squared(m/s^2)?
Answer:
87 kph
Explanation:
What will be the pressure exerted by the object if 5,000 N of force
area of 200 cm²?
Answer:
[tex]250000 \frac{n}{m {}^{2} } [/tex]
Explanation:
pressure is the force applied perpendicular to the surface area of an object per unit area.
for the question,
Force (F) = 5000N
[tex]Area = 200cm {}^{2} = 0.02m {}^{2} \\ Pressure = \frac{force}{area} \\ Pressure = \frac{5000}{0.02} \\ Pressure = 250000 \frac{n}{m {}^{2} } [/tex]
A projectile is launched with initial velocity vo. If a second projectile is launched with half of the initial velocity of the first projectile. Compare the range of the second projectile with the first one:
Comparison of the range:
If a second projectile is launched with half of the initial velocity of the first projectile. The range of the second projectile is one-fourth of the first one.
Calculation:
Step-1:
It is given that the first particle has an initial velocity of [tex]v_0[/tex], and the second particle has an initial velocity of [tex]\frac{v_0}{2}[/tex]. It is required to compare the range of the second projectile with the first one.
It is known that the range of a projectile is calculated as,
[tex]R=\frac{u^{2} \sin 2 \theta}{g}[/tex]
Where u is the initial speed, g is the acceleration due to gravity, and [tex]\theta[/tex] is the angle at which the particle is thrown.
This problem [tex]\theta[/tex] is the same in both cases.
Step-2:
Therefore the range of the first projectile is,
[tex]R_1=\frac{v_0^{2} \sin 2 \theta}{g}[/tex]
The range of the second projectile is,
[tex]$$\begin{aligned}R_2&=\frac{(\frac{v_0}{2})^{2} \sin 2 \theta}{g}\\&=\frac{v_0^2\sin 2 \theta}{4g}\\\end{aligned}$$[/tex]
Therefore,
[tex]$$\begin{aligned}\\\frac{R_2}{R_1}&=\frac{1}{4}\\\Rightarrow R_2&=\frac{1}{4}R_1\\\end{aligned}\\$$[/tex]
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The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 2.00 103 N with an effective perpendicular lever arm of 3.40 cm, producing an angular acceleration of the forearm of 165 rad/s2. What is the moment of inertia of the boxer's forearm
Answer: The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 2.00 103 N with an effective perpendicular lever arm of 3.40 cm, producing an angular acceleration of the forearm of 165 rad/s2. Then, the moment of inertia of the boxer's forearm will be 0.412Nm/rad/sec2.
Explanation: To find the correct answer, we have to know more about the moment of force or torque.
What is Torque?Torque is the measure of turning effect of a force.If the object rotates about an axis, then the perpendicular distance from the axis to the line of action of the force is called the lever arm.Torque is measured by the product of force and the lever arm.If r is the position vector of the point of application of force, then torque T is,[tex]T=rFsin\alpha[/tex], where, [tex]\alpha[/tex] will be the angle between r and F.
Torque in terms of moment of inertia [tex]I[/tex] and the angular acceleration [tex]\beta[/tex] will be,[tex]T=I\beta[/tex]
Where, [tex]I=r[/tex]×m
How to solve the problem?Given that,[tex]F=2*10^3N\\r=3.40*10^-2m\\\beta =165 rad/sec^2[/tex]
From the above equation of T, we can produce the equation of moment of inertia as,[tex]I=\frac{T}{\beta } =\frac{rFsin\alpha }{\beta } \\where, sin\alpha =1.\\Thus,\\T=\frac{rF}{\beta } =\frac{68}{165} =0.412Nm/rad/s^2.[/tex]
Thus, we can conclude that, moment of inertia of the boxer's forearm will be, 0.412Nm/rad/sec².
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April stands on a flat surface . If she has a mass of 72 what is the nirmal force acting on her
The normal force acting on April as she stands on a flat surface is 705.6 N.
Normal force of the girl
Fₙ = mg
where;
Fₙ is the normal force of the girlm is mass of the girlg is acceleration due to gravityFₙ = 72 x 9.8
Fₙ = 705.6 N
Thus, the normal force acting on April as she stands on a flat surface is 705.6 N.
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An astronomical telescope is designed with over magnification of 35x if the object has a focal length of 100 cm what should be the focal length of the eyepiece and how far should the eyepiece be from the objective
The focal length of eyepiece is 2.85.
It is given that astronomical telescope is designed with over magnification of 35.
The object has a focal length of 100 cm.
We need to determine the focal length of the eyepiece.
The formula to be used here is for astronomical telescope is:
[tex]m=\frac{f_{0} }{f_{e} }[/tex]
Using values here, we get
[tex]35=\frac{100 }{f_{e} }[/tex]
[tex]f_{e}=100/35=2.85[/tex]
Hence, the focal length of eyepiece is 2.85
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If a star appears to move relative to other stars over a one-year period, this motion is due to the star's: Doppler shift. radial motion. parallax shift. transverse motion. true space motion.
If a star appears to move relative to other stars over a one-year period, this motion is due to the star's true space motion.
What is the proper motion of stars?
Proper motion is the angular change in position of a star across our line of sight, measured in arc seconds per year, and symbolized with the letter μ.
Proper motion is generally measured by measuring the movement of the image of a star with respect to more distant background stars over that time period.
Here we are told that star appears to move relative to other stars over 1 year period.
So we know that,
True space motion is the annual apparent motion of a star across the sky.
True Space Motion is Combination of radial velocity, proper motion, and distance.
Hence,
If a star appears to move relative to other stars over a one-year period, this motion is due to the star's true space motion.
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A car travels around an unbanked highway curve (radius 0.15 km) at a constant speed of 25 m/s. What is the magnitude of the resultant force acting on the driver, who weighs 0.80 kN
The magnitude of the resultant force acting on the driver, who weighs 0.80 kN
What is resultant force:The total amount of force acting on the object or body along with the direction of the body.
The formula for the resultant force vector is given by Newton's Second law. F=ma.
here
speed, v = 25 m/s
radius, r = 0.15 km = 150 m
weight, w = 0.80 kN = 800 N
we know that,
W = m*g
800 = m * 9.8
m = 800 / 9.8
m = 81.63 kg
magnitude of the resultant force:
F = m*v^2 / r
F = 81.63 * 25^2 / 150
F = 340.13 N
F = 0.34 kN
hence,
The magnitude of the resultant force acting on the driver, who weighs 0.80 kN
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a 1200 kg car rolling on a horizontal surfact has a speed of 25 m/s when it strikes a horizontal coiled spring and is brought ot rest in a distance of 2.5m. what is the spring constant of this spring
The required spring constant:
The spring constant of the spring is [tex]12\times 10^4 \text{ N/m}[/tex].
Calculation:
The mass of the car is m=1200 kg, the speed of the car is v=25 m/s, and after colliding the spring is brought to rest at a distance of x=2.5m. Let the spring constant of the spring is, k.
From the conservation of energy,
Total initial kinetic energy= Total final potential energy of the spring
Therefore,
[tex]\frac{1}{2}mv^2=\frac{1}{2}kx^2[/tex]
Now, substituting the values of the mass of the car, speed of the car, and displacement, we get:
[tex]$$\begin{aligned}1200\times(25)^2&=k\times (2.5)^2\\\Rightarrow k&=\frac{1200\times(25)^2}{(2.5)^2}\\&=12\times 10^4 \text{ N/m}\end{aligned}$$[/tex]
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You look at a light source through a polarizer. As you turn the polarizer you see no change in intensity. Is the light emitted by this source polarized
No, the light emitted from the source is not polarized
Bypassing it through a polarizing filter or other polarizing substance, light can be made polarized. After passing through a polarizing filter, the intensity of polarized light I is equal to the original intensity I0 cos2, where I0 is the original intensity and is the angle formed by the polarization's direction and the filter's axis.
Unpolarized light is diminished by a factor of 12 when it travels through a polarizer. Along the polarizer's axis, the transmitted light is polarized. The only parameter that is unaffected by any phenomenon, including reflection, refraction, interference polarization, etc., is frequency. The polarization phenomenon has no effect on light frequency.
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6 latter word and it has a s and a I and it has mass (9.______________liquids, and gases all have mass.)
Answer:
Solids
Explanation:
Solids, liquids, and gases all have mass.
In nineteenth century, physical science was divided into discipline. .
Answer:
Here! Try this Website!: www.britannica.com › science › physical-science physical science | Definition, History, & Topics | Britannica. So you will learn a lot more about science, history, and topics about it!
Answer:i have no idea
Explanation:
Rewrite the following sentence in the negative form >Each library contains 3000 brand new books
________ occurs when a person is holding an object that is directly hit or splashed by lightning.
Contact injury happens when a person is holding an object that is directly hit or splashed by lightning.
To find answer, we need to know more about the lightning and injuries.
What are the injuries caused by lightning?The phenomenon of natural electrical discharge happens in a short time with a bright flash is called lightning.It carries a huge amount of energy.The injuries caused by lightning can be classified as Direct strikes, Side splash and the Contact injury.Direct injuries happens when a person directly hit by lightning.Side splash occurs when a current splashes from a nearby object.Contact injury happens when a person touching an object that is hit by lightning.Thus, we can conclude that, contact injury occurs when a person is holding an object that is directly hit or splashed by lightning.
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When someone is holding something that has been struck or splashed by lightning, contact damage occurs.
We need additional information concerning lightning and injuries in order to identify the solution.
What types of injuries are brought on by lightning?Lightning is the name for a natural electrical discharge that occurs quickly and with a dazzling flash.It has a tremendous amount of energy.Lightning-related injuries can be divided into three categories: direct strikes, side splashes, and contact injuries.When someone is struck by lightning directly, they can get direct injury.When a current splashes from a neighboring object, it is called a side splash.When someone touches a lightning-hit object, contact harm results.In light of this, we can say that contact injuries happen when a person is holding an object that has been struck by lightning or splashed by it.
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An object placed 10.40 cm from a concave spherical mirror produces a real image 7.80 cm from the mirror. If the object is moved to a new position 20.0 cm from the mirror, what is the position of the image
The position of the image, if the object moved to new position 20.0 cm from the mirror is 5.7372 cm.
As per the lens equation,
[tex]\frac{1}{p1} +\frac{1}{q1} =\frac{1}{f}[/tex]
Since, p1 is the position of object initially, q1 is the position of the image initially and f is the focal length of the lens.
[tex]\frac{1}{10.4} +\frac{1}{7.8} =\frac{1}{f}[/tex]
[tex]0.0961+0.1282=\frac{1}{f}[/tex]
[tex]f=4.458[/tex] is the focal length of the given lens.
Then the object moved to second position of p2=20.0 cm from the mirror.
So, [tex]\frac{1}{p2} +\frac{1}{q2} =\frac{1}{f}[/tex]
[tex]\frac{1}{20} +\frac{1}{q2} =\frac{1}{4.458}[/tex]
[tex]\frac{1}{q2}=0.2243-\frac{1}{20}[/tex]
[tex]\frac{1}{q2}=0.1743[/tex]
Hence, q2=5.7372 cm is the new position of the image.
Initially, the object placed 10.40 cm from the mirror, then the image formed at 7.80 cm, then the object moved to 20.0 cm from the mirror, then the new image formed at 5.74 cm.
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A person sits at rest on a chair. The gravitational force on the person (their weight) is one half of an action-reaction pair. Which force is the other half?
Normal is the other half of an action-reaction pair
If a person is sitting on a chair , there must be a gravitation force acting in downward direction which is equal to the weight of that person . That means the person is exerting a force on the chair equal to its weight . But the person is not falling down the chair , because of newtons third law of motion .
There must be a counter force which is equal and opposite to the force exerted by the person on the chair , in order to make net force equal to zero and to make that man in stationary state ( no movement ) .That force is called Normal force which is been acted by the chair on the person .This implies Normal is the other half of an action-reaction pair
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A 70 n force pulls a box straight up 5 m above the ground. How much work is done on the box?
The work done on the box is 350 Joule.
When is Work done on an object ?Work is done on an object when the displacement of the object is not perpendicular to the direction of the applied force. The unit of Work is Joule (J)
Given that 70N force pulls a box straight up 5 m above the ground.
Work is the product of force F and the distance S. That is,
W = F x S
Where
Force F = 70 NDistance S = 5 mSubstitute the two parameters into the formula above
W = 70 x 5
W = 350 J
Therefore, the work done on the box is 350 Joule.
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Increases in the planet's temperature over the past few decades can be attributed to
Excess Carbon Monoxide(CO) attributed to increases in the planet's temperature over the past few decades
While carbon monoxide (CO) poisoning is the world's most common cause of poisoning death, correlations between CO poisoning and weather are yet unknown.
The incidence risk of acute CO poisoning is influenced by temperature changes, however, the effects vary in Taiwan depending on the season and the person. Our research quantifies the effects of environmental variables and offers essential support for healthcare professionals to create preventive measures to lower the incidence of acute CO poisoning.
An earlier study conducted in Beijing found a negative correlation between temperature and the frequency of acute Carbon Monoxide poisoning. While the impact of other significant weather variables (such as relative humidity and wind speed) on this issue is still unknown, prior research has mostly focused on the relationship between temperature variations and CO poisoning.
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