Answer:
The velocity of the composite body is 0.99m/s 63.43° west of north.
Explanation:
Here the law of conservation of energy says that
[tex](1).\: \: m_1v_1cos(0)+m_2v_2cos(90^o)=(m_1+m_2)v_f cos(\theta)[/tex]
[tex](2).\: \: m_1v_1sin(0)+m_2v_2sin(90^o)=(m_1+m_2)v_f sin(\theta)[/tex]
where [tex]v_f[/tex] is the final velocity if the composite body, and [tex]\theta[/tex] is measured from west of north.
Putting in numbers and simplifying the above equation we get:
[tex](3).\: \: m_1v_1=(m_1+m_2)v_f cos(\theta)[/tex]
[tex](4).\: \: m_2v_2=(m_1+m_2)v_f sin(\theta)[/tex]
dividing equation (4) by (3) gives
[tex]\dfrac{ m_2v_2=(m_1+m_2)v_f sin(\theta)}{ m_1v_1=(m_1+m_2)v_f cos(\theta)}[/tex]
[tex]\dfrac{m_2v_2}{m_1v_1} = \dfrac{sin(\theta)}{ cos(\theta)}[/tex]
[tex](5).\: \: tan(\theta) = \dfrac{m_2v_2}{m_1v_1}[/tex]
putting in [tex]m_1 = 0.5kg[/tex], [tex]v_1 = 4m/s[/tex], [tex]m_2 = 4kg[/tex], and [tex]v_2 = 1m/s[/tex] we get:
[tex]tan(\theta) = \dfrac{(4kg)(1m/s)}{(0.5kg)(4m/s)}[/tex]
[tex]\boxed{\theta = 63.43^o}[/tex]
Thus, the final velocity [tex]v_f[/tex] we get from equation (3) is:
[tex]v_f=\dfrac{m_1v_1}{(m_1+m_2)cos(\theta)}[/tex]
[tex]v_f=\dfrac{(0.5kg)(4m/s)}{(4kg+0.5kg)cos(63.43^o)}[/tex]
[tex]\boxed{v_f = 0.99m/s}[/tex]
Thus, the velocity of the composite body is 0.99m/s 63.43° west of north.
A motorcycle is traveling with a velocity of 4 m/s and has a mass of 112 kg
Answer: 896J
Explanation:
Given that
Mass of motorcycle = 112kg
kinetic energy = ?
velocity of the motorcycle = 4m/s
Since kinetic energy is the energy possessed by a moving object, and it depends on the mass (m) of the object and the velocity (v) by which it moves. Therefore, the motorcycle has kinetic energy
i.e K.E = 1/2mv^2
KE = 1/2 x 112kg x (4m/s)^2
KE = 0.5 x 112 x 16
KE = 896J
Thus, the motorcycle has 896 joules of kinetic energy.
What are some of the most common materials that display the photoelectric effect?
Answer:
the so-called alkali metals, the most used of all is potassium
Explanation:
The photoelectric effect is the expulsion of electrons from metals by effect of incident radiation.
To see this effect, materials with a small work function are needed, so the most used materials are the materials of group i of the periodic table, the so-called alkali metals, the most used of all is potassium
when arti kicks a football two forces interact, arti's foot exerts a force of 5N on the ball. what size force will be exerted on arti's foot?
Answer:
5N
Explanation:
From Newton's third law, we understood that to every action, there is an equal an opposite reaction.
Since Arti's foot exerts a force of 5N on the ball, then, an equal and opposite force of 5N will be exerted on Arti's foot as understood from Newton's third law.
Therefore, a force of 5N will be exerted on Arti's foot.
Two forces interact when Arti kicks a football - Arti's foot exerts a 5N force on the ball, and the ball exerts a 5N force on Arti's foot.
Explanation:When Arti kicks a football, two forces interact - Arti's foot exerts a force of 5N on the ball.
According to Newton's Third Law of Motion, for every action, there is an equal and opposite reaction. So, the ball exerts a force of 5N on Arti's foot in the opposite direction. Therefore, the size of the force exerted on Arti's foot is also 5N.
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The planet most like the earth in size and gravitation is:
Mars
Jupiter
Venus
Pluto
Answer:
Mars
Explanation:
a climber has potential energy of 11000 J. If the mass of the climber is 85 determine their height
PLZ HELP ME!!!!!!!!!!!!!!!!
Answer:
12.9m
Explanation:
Gravitational Potential Energy=mass×gravitational
field strength×height
GPE=mgh
11000J=85kg×10N/kg×Height
Height=11000÷850
= 12.9m(to 3s.f)
The climber's height is approximately 13.2 meters.
Using the formula for gravitational potential energy:
PE = mgh, where PE is potential energy, m is mass, g is the acceleration due to gravity (9.8 m/s2), and h is height.
Based on the information provided, the climber has a potential energy (PE) of 11000 J and a mass (m) of 85 kg.
Therefore, we can rearrange the formula to solve for height (h):
h = PE / (mg).
Plugging in the given values gives us
h = 11000 J / (85 kg× 9.8 m/s2), which we can then calculate.
After performing the calculation, the climber's height comes out to be approximately
h = 11000 J / (85 kg×9.8 m/s2)
= 11000 / 833
= 13.2 meters.
An ion contains 8 protons, 10 electrons, and 7 neutrons. What is the mass of the ion?
Answer: 15
Explanation:
The mass of the ion is the sum of the protons and neutrons inside its nucleus.
i.e Mass number = protons + neutrons
Mass number = 8 protons + 7 neutrons
= 15
Furthermore, since the number of protons differ from the number of electrons by 2, the ion was formed when its atom gained 2 electrons. Thus, it is a negatively charged ion (anion) with a mass of 15
Calculate the kinetic energy of a truck that has a mass of 2900 kg and is moving
at 55 m/s.
Answer:
4386250J
Explanation:
In the picture above.
Hope this helps.
Final answer:
The kinetic energy of a truck with a mass of 2900 kg moving at 55 m/s is calculated using the formula KE = ½ mv², resulting in 4,386,250 joules (J).
Explanation:
To calculate the kinetic energy (KE) of a truck with a mass of 2900 kg moving at 55 m/s, we use the formula:
KE = ½ mv²
Where:
m is the mass of the object,v is the velocity of the object.By plugging in the values:
KE = ½ (2900 kg) (55 m/s)²
KE = ½ (2900) (3025)
KE = 0.5 × 2900 kg × 3025 m²/s²
KE = 4,386,250 J
The kinetic energy of the truck is 4,386,250 joules (J).
Fast please. What is the main source of the sun's energy?
Answer:
radiation
Explanation:
if there was no radiation there would be an iceage
What is the description of destructive interference between two light waves
Answer:
Destructive interference occurs when the maxima of two waves are 180 degrees out of phase: a positive displacement of one wave is cancelled exactly by a negative displacement of the other wave. The amplitude of the resulting wave is zero.
how many electrons will constitute 2A current in unit time
Answer:
2 charges of electron (2C)
Explanation:
I = Q/t
2 = Q/1
Q = 2×1= 2C
Q = 2 charge of electron
GUYS HELP ITS DUE 20 MIN PLEASEEEEE. I SHOULD HAVE ASKED EARLIERRRRRR
How does the force of gravity between two bodies change when the distance between them is increased by a factor of 5? Express your answer using two significant figures.
Ffinal/Finitial=
Which of the following is an example of diffraction
A. Hearing a person around a corner before you can see them
B. Seeing a person around a corner before you can hear them
C. A straw in a glass of water appearing "broken"
D. Yelling out in a cave and hearing your voice call back to you
Answer:
the answer would be D. Yelling out in a cave and hearing your voice call back to you
Explanation:
Please help ASAP. Describe the trajectory of a ball in terms of energy.
Answer: A familiar example of a trajectory is the path of a projectile, such as a thrown ball or rock. In a significantly simplified model, the object moves only under the influence of a uniform gravitational force field. ... In this simple approximation, the trajectory takes the shape of a parabola.
Explanation:
Electric field lines:
A. always surround a neutron.
B. are visible to the human eye.
C. are bent when two charges interact.
D. always exert attractive forces.
Answer:
A
Explanation:
Answer:
C. are bent when two charges interact.
Explanation:
took the quiz on A p e x
a proton is placed 100 micrometers from a helium nucleus. Gravity pulls the proton and nucleus together, while the electric force pushes them apart. Which is stronger, and by how much?
Answer:
The electric force is [tex]6.2\cdot 10^{35}[/tex] times stronger than the gravitational force
Explanation:
The magnitude of the electrostatic force between two charges is given by:
[tex]F_E=k\frac{q_1 q_2}{r^2}[/tex]
where:
[tex]k=8.99\cdot 10^9 Nm^{-2}C^{-2}[/tex] is the Coulomb's constant
[tex]q_1, q_2[/tex] are the two charges
r is the separation between the two charges
In this problem:
[tex]q_1=1.6\cdot 10^{-19}C[/tex] (charge of the proton)
[tex]q_2=3.2\cdot 10^{-19}C[/tex] (charge of a nucleus of helium, twice the charge of a proton)
[tex]r=100 \mu m = 100\cdot 10^{-6} m[/tex]
So the electric force is
[tex]F_E=(8.99\cdot 10^9)\frac{(1.6\cdot 10^{-19})(3.2\cdot 10^{-19})}{(100\cdot 10^{-6})^2}=4.6\cdot 10^{-20} N[/tex]
Instead, the magnitude of the gravitational force between two objects is given by :
[tex]F_G=G\frac{m_1 m_2}{r^2}[/tex]
where
[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant
m1, m2 are the masses of the two objects
r is the separation between them
Here we have:
[tex]m_1=1.67\cdot 10^{-27}kg[/tex] is the mass of the proton
[tex]m_2=6.68\cdot 10^{-27}kg[/tex] is the mass of a nucleus of helium (4 times the mass of the proton)
[tex]r=100 \mu m = 100\cdot 10^{-6} m[/tex] is the separation
So the gravitational force is
[tex]F_G=(6.67\cdot 10^{-11})\frac{(1.67\cdot 10^{-27})(6.68\cdot 10^{-27})}{(100\cdot 10^{-6})^2}=7.4\cdot 10^{-56} N[/tex]
So, we see that the electric force is much stronger than the gravitational factor, by a factor of:
[tex]\frac{F_E}{F_G}=\frac{4.6\cdot 10^{-20}}{7.4\cdot 10^{-56}}=6.2\cdot 10^{35}[/tex]
Scientists were studying three different embryos to determine their relationship to humans. The notes about each embryo are shown in the chart. Based on the information, what can you determine? Species A and B are related to humans. Species A and C are related to humans. Species B and C are not related to humans. Species A and C are not related to humans.
Answer:
yes B is correct
Explanation:
Species A and C are related to humans. Therefore, the correct option is option B among all the given options.
What is embryos?A multicellular organism's embryo is the first stage of development. In sexually reproducing animals, gametophyte is the stage of the life cycle which thus begins immediately after implantation of both the female egg cell even by male sperm cell.
The resultant merger of these two cells results in a single-celled zygote which divides into cells are known as blastomeres. Species A and C are related to humans.
Therefore, the correct option is option B.
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In which part of the wave are the particles of the medium closer together?
rarefactions
compressions
solids
liquids
Answer:
compressions
Explanation:
compressions part of the wave are the particles of the medium closer together. Hence option B is correct.
What is wave ?Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.
Wavelength is the distance between two points on the wave which are in same phase. Phase is the position of a wave at a point at time t on a waveform. There are two types of the wave longitudinal wave and transverse wave.
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A main goal of most environmental scientists is to achieve _________________________.
Group of answer choices
sustainability
supply and demand
biodiversity
cost-benefit balance
Answer:
The answer is biodiversity
Explanation:
Which of the following statements describes a battery?
Batteries store electric charge.
Batteries use electrolytes and similar metals to produce a flow of electrons.
The negative electrode of a battery has an excess of positive charge.
Batteries convert chemical potential energy into electric energy.
Answer:
Batteries use electrolytes and similar metals to produce a flow of electrons.
Answer:
D. Batteries convert chemical potential energy into electric energy
Explanation:
It was the correct answer on OW
If a car is traveling at 15 mph and increases to a speed of 45 mph in 10 seconds, what is the acceleration? A. 30 mph B. 3 mph C. 3 mph/s D. 30 mph/s
The acceleration will be "3 mph/s".
According to the question,
Final velocity,
45 mphInitial velocity,
15 mphTime,
10 secAs we know the formula,
→ [tex]Acceleration =\frac{Final \ velocity-Initial \ velocity}{Time}[/tex]
By substituting the values, we get
→ [tex]= \frac{45-15}{10}[/tex]
→ [tex]= \frac{30}{10}[/tex]
→ [tex]= 3 \ mph/s[/tex]
Thus above answer is right.
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If a polar bear runs at a speed of about 8.3 m/s, how far will it travel in 10.0 hours
Answer: 298800 metres
Explanation:
Given that:
speed of polar bear = 8.3 m/s
Distance traveled = ?
Time taken = 10.0 hours
Since the SI unit of time is seconds, convert time in hours to seconds
1 hour = 60 minutes & 1 minute = 60 sec
So, 10.0 hours = (10 x 60 x 60)
= 36000 seconds
Apply the formula:
speed = distance traveled / time taken
8.3 m/s = distance traveled / 36000 seconds
Distance traveled = 8.3m/s x 36000 sec
= 298800 metres
Thus, the polar bear traveled 298800 metres.
why was the geocentric model of the solar system accepted by scientist for many years?
The geocentric model of the solar system was accepted because it made sense based on observations at the time. The heliocentric model became accepted later thanks to the work of Copernicus and Galileo.
Explanation:The geocentric model of the solar system was accepted by scientists for many years because it appeared to make sense based on the observations at the time. In the geocentric model, Earth was believed to be at the center of the universe, with the planets and the Sun orbiting around it. This model was supported by the apparent motion of the celestial bodies in the sky.
For centuries, people observed that the Sun appeared to rise in the east and set in the west, while the planets seemed to move across the sky in different paths. The geocentric model provided a simple explanation for these observations. Additionally, there was a lack of evidence at the time to support an alternative model.
It was not until the 16th century, with the work of Nicolaus Copernicus and later Galileo Galilei, that the heliocentric model of the solar system started gaining acceptance. The heliocentric model, with the Sun at the center, provided a more accurate explanation for the motion of the planets, as well as other astronomical phenomena. The development of telescopes and advancements in observations also contributed to the acceptance of the heliocentric model.
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The geocentric model was accepted for years due to its ability to predict planetary motions and its alignment with religious and philosophical beliefs.
The geocentric model, which positioned Earth at the center of the universe, was accepted by scientists and scholars for many years due to a combination of observational, philosophical, and religious reasons.
Even when Greek astronomers suggested that it was more natural for smaller objects to revolve around larger ones, the Ptolemaic model persisted because it was able to predict planetary motion with reasonable accuracy through complex mechanisms like epicycles and deferents.
The geocentric model was further reinforced by the fact that it was embedded in the teachings of the Church, and the heliocentric idea faced significant resistance due to the societal and theological implications of displacing Earth from the cosmic center.
It was not until the works of astronomers such as Copernicus, Brahe, Kepler, and Galileo provided substantial evidence that the heliocentric model began to gain acceptance over the geocentric model.
Calculate the power provided by a 240 volt, 30 ampere common household dryer.
A) 80w
B) 220w
C) 840w
D) 7200w
Answer:
the answer is D
Explanation:
30-amp 240-volt circuit: 30 amps x 240 volts = 7,200 watts hope this helps
Answer:
I believe the answer is 7200Wats
Explanation: checked the other sources and they didn't match up
50 POINTS HELP ME PLEASE!!!!!!!!!!!!
Which arrows represent the way a person should go to escape the rip current?
W and X
X and Y
Y and Z
Z and W
Answer:
W and X
Explanation:
When escaping a rip current, one should always walk to the side until you escape from the rip current. If you walk towards the shore, you have the ability to keep getting dragged toward the current, such as with X and Y.
Answer:A
Explanation:
he graph shows a marble rolling down a curve from position 1 to position 5. In which position is the potential energy of the marble greatest?
Should be position 1.
a father has brown hair (B), but the offspring have red hair (a recessive trait), like their mother (b). How is this possible?
Answer:yes it is possible
Explanation:it is possible because when you add both of them it becomes red
Answer: the mother has bb (or red) hair.
Explanation:
The mother is red headed. So, a Bb brown haired father and a bb red headed mom gave their child bb (recessive) traits. When shown in a punnet square, bb is an option.
Charges
The glass is attracting the pieces of paper. What does
this tell you about the charges on the glass and the
paper
The glass and the paper have the same charge.
The glass and the paper have different charges
Neither the glass nor the paper has a charge
Answer:
B.) The glass and paper have different charges
Explanation:
Answer:
The glass and paper have different charges
Explanation:
did the instruction on edge
Pre-Test: Chemical Bonding
Which type of solid is likely to be the best conductor of electric current?
O ionic compound
O covalent compound
O metal element
O nonmetal element
What is the momentum of a 65kg ball rolling at 5 m/s?
Explanation:
Momentum = mass × velocity
p = (65 kg) (5 m/s)
p = 325 kg m/s
Please Help me
An object is placed 20 cm away from a curved mirror that has a focal length of 7 cm.
Where is the image located? Is the image magnified or shrunken? Show your work
An image is produced 51.5 cm away from a converging lens. If the object is placed at 32 cm away, where is the focal point located? Show your work
If you used a converging lens with a focal length of 17 cm, where would you put an object that has a height of 5.5 cm to create a virtual image with a height of 13.8 cm? The image is located 22 cm away from the mirror. Show your work
Describe virtual images and how the simulation showed why they are virtual
1) 10.8 cm, shrunken
2) 19.7 cm
3) 8.8 cm
4) See explanation
Explanation:
1)
A mirror works on the principle of reflection: a ray of light coming from an object is reflected back by the mirror, producing an image of the object.
The position of the image can be found by using the mirror equation:
[tex]\frac{1}{f}=\frac{1}{p}+\frac{1}{q}[/tex]
where
f is the focal length of the mirror
p is the position of the object
q is the location of the image
In this problem:
f = 7 cm is the focal length of the mirror
p = 20 cm is the position of the object
So we can find q from the equation:
[tex]\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{7}-\frac{1}{20}=0.0929\\q=\frac{1}{0.0929}=10.8 cm[/tex]
The sign of q is positive: this means the image is real.
The magnification of the image is given by
[tex]M=\frac{y'}{y}=-\frac{q}{p}[/tex]
where
y' is the size of the image
y is the size of the object
M is the magnification
Substituting,
[tex]M=-\frac{10.8}{20}=-0.54[/tex]
Which means that he image is shrunken, (because [tex]|M|<1[/tex]), so [tex]y'<y[/tex].
2)
A lens works on the principle of refraction: the rays of light coming from an object are refracted into the focal point of the lens, and they can produce an image of the object.
We can solve the problem by using the lens equation:
[tex]\frac{1}{f}=\frac{1}{p}+\frac{1}{q}[/tex]
where
f is the focal length of the length
p is the position of the object
q is the location of the image
In this problem we have:
q = 51.5 cm is the location of the image
p = 32 cm is the position of the object
Solving for f, we find the focal length:
[tex]\frac{1}{f}=\frac{1}{32}+\frac{1}{51.5}=0.051\\f=\frac{1}{0.051}=19.7 cm[/tex]
3)
In this problem, we know the following data:
[tex]f=+17 cm[/tex] is the focal length (for a converging lens, it is positive)
[tex]y=5.5 cm[/tex] is the height of the object
[tex]y'=13.8 cm[/tex] is the height of the image
[tex]q=-22 cm[/tex] is the location of the image (it is negative because the image is virtual)
From the magnification equation, we can find the position of the object:
[tex]\frac{y'}{y}=-\frac{q}{p}[/tex]
And solving for p, the position of the object, we find:
[tex]p=-\frac{qy}{y'}=-\frac{(-22)(5.5)}{13.8}=8.8 cm[/tex]
So, the object should be located 8.8 cm from the lens.
4)
The images produced by a lens or by a mirror can be of two types:
Real: a real image is produced when the refracted (or reflected) rays actually meet behind the lens (or in front of the mirror). In this case, the image can be actually projected on a screen. A real image is located behind the lens (or in front of the mirror).Virtual: a virtual image is produced when the refracted (or reflected) rays do not meet at any point, so no image can be actually projected on a screen. In this case, the image forms from the intersection of the prolongation of the refracted/reflected rays. A virtual image is located in front of the lens (or behind the mirror).