1) [tex]x= v_{0x} t = 23.4 t\\y=y_0 + v_{0y}t-\frac{1}{2}gt^2 = 12+21.8t -4.9t^2[/tex]
The initial data of the projectile are:
[tex]y_0 = 12 m[/tex] is the initial height
[tex]v_0 = 32 m/s[/tex] is the initial speed of the projectile, so its components along the x- and y- directions are
[tex]v_{0x} = v_0 cos \theta = (32 m/s)(cos 43^{\circ})=23.4 m/s\\v_{0y} = v_0 sin \theta = (32 m/s)(sin 43^{\circ})=21.8 m/s[/tex]
The motion of the cannonball along the x-direction is a uniform motion with constant speed, while on the y-direction it is an uniformly accelerated motion with constant acceleration g=9.8 m/s^2 downward. So, the two equations of motion of the projectile along the two directions are:
[tex]x= v_{0x} t = 23.4 t\\y=y_0 + v_{0y}t-\frac{1}{2}gt^2 = 12+21.8t -4.9t^2[/tex]
2) 4.94 s
To determine how long the cannon ball was in the air, we need to find the time t at which the cannonball hits the ground, so the time t at which y(t)=0:
[tex]0=12+21.8t-4.9 t^2[/tex]
Solving the equation with the formula, we have:
[tex]t_{1,2}=\frac{-21.8\pm \sqrt{(21.8)^2-4(-4.9)(12)}}{2(-4.9)}[/tex]
which has two solutions:
t = -0.50 s
t = 4.94 s
Discarding the first solution which is a negative time so it has no physical meaning, the correct solution is
t = 4.94 s
3) 115.6 m
To determine how far the cannonball travelled, we need to find the value of the horizontal position x(t) when the ball hits the ground, at t=4.94 s. Substituting this value into the equation of motion along x, we find:
[tex]x=v_{0x}t=(23.4 m/s)(4.94 s)=115.6 m[/tex]
4) 2.22 s
The cannonball reaches its maximum height when the vertical velocity becaomes zero.
The vertical velocity at time t is given by
[tex]v_y(t)= v_{0y} -gt[/tex]
where
g = 9.8 m/s^2 is the acceleration due to gravity
Substutiting [tex]v_y(t)=0[/tex] and solving for t, we find
[tex]t=\frac{v_{0y}}{g}=\frac{21.8 m/s}{9.8 m/s^2}=2.22 s[/tex]
5) 36.2 m
The maximum height reached by the cannon is equal to the vertical postion y(t) when the vertical velocity is zero, so when t=2.22 s. Substituting this value into the equation of the vertical motion, we find:
[tex]y(t)=y_0 + v_{0y}t-\frac{1}{2}gt^2=12+(21.8)(2.22)-(4.9)(2.22)^2=36.2 m[/tex]
the weatherman reports the storm waves are about 2 meters high and 35 meters apart. What properties of waves is the reporter describing?
Answer:
Amplitude and wavelength
Explanation:
- The amplitude of a wave is the maximum displacement of the wave, measured with respect to the equilibrium position (so, for a water wave it is the maximum height of the wave relative to the equilibrium position)
- The wavelength of a wave is the distance between two consecutive crests (or throughs) of a wave. So, for a water wave, it is the distance between two consecutive waves
Therefore, in the example in the problem we have:
- 2 meters corresponds to the amplitude
- 35 meters corresponds to the wavelength
If the speed of an object is unchanging, then what must be true?
The object is traveling at an average speed.
The object is traveling at a constant speed.
The object is traveling at a decreasing velocity.
The object is traveling at an increasing velocity
Answer:
If the speed of an object is unchanging it means that it's traveling at a constant speed.
If the speed of the object increases or decreases it means that the speed is changing. That's why those options are not valid.
The average speed implies that the speed changes over time, but just the average remains the same. That's why this option is not valid.
If the speed of an object is unchanging, then the object is traveling at a constant speed.
"Unchanging" and "constant" mean the same thing.
If a patient is receiving home care services this means they have a terminal illness true or false
False. Receiving home care services does not necessarily mean that a patient has a terminal illness.
Terminal illness and homecare services
Home care services are not exclusively for those with terminal illnesses; they cater to various needs.
These services extend beyond end-of-life care, encompassing chronic illness management, post-surgery recovery, palliative care, and support for the elderly.
Home care facilitates personalized healthcare delivery in the comfort of one's residence, promoting independence and enhancing the quality of life.
It is a flexible approach that addresses diverse medical conditions, allowing individuals to receive necessary assistance tailored to their unique health requirements.
Home care services do not exclusively mean a patient has a terminal illness. Home care can include hospice services for those with terminal illnesses, but it also caters to a range of other patient needs, such as recovery and long-term support. Hospice care provides comfort for terminally ill patients, often in their homes. The statement in the question is not true.
Explanation:If a patient is receiving home care services, it does not necessarily mean they have a terminal illness. While it is true that hospice care is often associated with terminal illnesses and focuses on providing comfort and support rather than cure-oriented treatments, home care can encompass a variety of services for patients with varying needs, including recoveries from surgeries, chronic illnesses, disability support, and more community-based, long-term care. Hospice care, specifically, supports terminally ill patients and their families by offering pain management, emotional support, and the opportunity for the patient to be in the comfort of their own home. However, not all patients in home care are in hospice or have terminal illnesses.
When does total internal reflection occur?
A. when the angle of incidence exceeds the angle of reflection
B. when the angle of incidence is less than the angle of reflection
C. when the angle of incidence is less than the critical angle
D. when the angle of incidence exceeds the critical angle
PLEASE GIVE A STRAIT ANSWER PLEASE
Answer:
A
Explanation:
I believe it is A because reflection is usually like a mirror or in water the other ones described are refraction or conversion. Hope this helps! :)
A blender with a total resistance of 6 ohms runs on a voltage of 190 volts. How much current does it use? NEED TO KNOW ASAP PLEASE HELPPPPP
The answer is 31.67 Amps.
Why?To solve the problem, we need to use Ohm's Law equation, which states that:
[tex]V=IR[/tex]
Where,
V, is the voltage (in volts)
I, is the current (in Amps)
R, is the resistance (in Ohms)
We are given the following information:
[tex]Voltage=190v\\Resistance=6\Omega\\[/tex]
So, using Ohm's Law equation and substituting the given information, we have:
[tex]V=IR\\\\190v=I*6\Omega\\\\I=\frac{190v}{6\Omega}=31.67Amps[/tex]
Hence, we have that the current used by the blender is 31.67Amps.
Have a nice day!
a rocket is fired vertically from the ground.it moves upwards with a constant acceleration 10m/s square for 30 seconds after which the fuel is finished.after what time from the instant of the firing of the rockets will attain maximum height?,find the maximum height it rraches above the ground and total time the rockrt will stay above the ground.
Answer:
9090 m, 104 s
Explanation:
After the acceleration phase, the rocket reaches a height of:
x = x₀ + v₀ t + ½ at²
x = (0 m) + (0 m/s) (30 s) + ½ (10 m/s²) (30 s)²
x = 4500 m
And it reaches a velocity of:
v = at + v₀
v = (10 m/s²) (30 s) + (0 m/s)
v = 300 m/s
After the fuel runs out, the rocket goes into free fall. The maximum height reached is:
v² = v₀² + 2a(x - x₀)
(0 m/s)² = (300 m/s)² + 2(-9.8 m/s²)(x - 4500 m)
x ≈ 9090 m
The time to reach maximum height during free fall:
v = at + v₀
0 m/s = (-9.8 m/s²) t + (300 m/s)
t ≈ 30.6 s
And the time to land from the maximum height:
x = x₀ + v₀ t + ½ at²
0 m = (9090 m) + (0 m/s) t + ½ (-9.8 m/s²) t²
t ≈ 43.1 s
So the total time is:
t = 30 s + 30.6 s + 43.1 s
t ≈ 104 seconds
which ocean zone has the most sunlight? A. Abyssopelegic B. Bathypelagic
C. Hadalpelagic D. Mesopelagic
The answer is D, Mesopelagic.
The ocean zone that has the most sunlight is Mesopelagic. The correct option is D.
What is Mesopelagic?The Mesopelagic zone is a scope of sea depth that beginnings from 650 feet beneath the water's surface to around 3,280 feet underneath. Light entrances from the outer layer of the sea almost scatter at this area. The most widely recognized organic entities found in the mesopelagic zone are little fish, squid, and basic shellfish.
This region receives most of the sunlight.
Thus, the correct option is D.
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The Mass number of an element is the?
A. number of protons plus electrons
B.number of protons only
C. number of protons plus neutrons
Answer:
The mass number of an element is the number of protons plus neutrons.
Explanation:
The mass number of an element is the number of protons plus neutrons, so the correct answer is the option C.
The mass number of an element is the sum of the number of protons plus neutrons.
Answer: Option C
Explanation:
The element's mass number refers to the summative number of neutron and proton in the nucleus. In the nucleus there is the total number of protons and neutron, summed together to form the atomic mass.
Atomic mass is similar as the mass number in representation. Therefore, we have the following formula for the mass number,
Mass number of an element=Number of protons+Number of neutrons
An object is traveling in a circular motion at constant speed. If the speed is doubled, the centripetal acceleration is changed by a factor of
Answer: the centripetal acceleration is changed by a factor of four
Explanation: An object moving in a circular motion at constant speed has zero tangential acceleration but the direction of the tangential velocity vector changes as the object rotates. This change in direction of the tangential velocity vector results in centripetal acceleration ([tex]a_c[/tex]) given by
[tex]a_c=\frac{v^{2}}{r}[/tex]
where v=speed of object , r= radius of circular path
Thus if [tex]v_2=2v_1[/tex] then
[tex]a_2=\frac{v_2^{2}}{r_2}=\frac{(2v_1)^{2}}{r_1}=4\times \frac{v_1^{2}}{r_1}=4a_1[/tex]
Thus If the speed is doubled, the centripetal acceleration is changed by a factor of four .
Final answer:
The centripetal acceleration will increase by a factor of 4 when the speed of an object in circular motion is doubled, because centripetal acceleration is proportional to the square of the velocity.
Explanation:
An object is traveling in circular motion at constant speed. When the object's speed is doubled, its centripetal acceleration is affected significantly because the acceleration in circular motion is directly proportional to the square of the velocity. The formula for centripetal acceleration (ac) is ac = v² / r, where v is the speed of the object and r is the radius of the circular path.
Since the relationship is quadratic, if you double the speed (v becomes 2v), the new acceleration will become (2v)² / r = 4v² / r. This shows that the centripetal acceleration will increase by a factor of 4, which is the square of the factor by which the speed is increased.
Over a span of 6.0 seconds, a car changes its speed from 89 km/h to 37 km/h. What is its average acceleration in meters per second squared (m/s2)?
Answer: Average acceleration is -2.407 [tex]\frac{m}{s^{2}}[/tex]
Explanation:
Average acceleration is equal to change in velocity divided by time taken
therefore, [tex]a=\frac{Vf-Vi}{t}[/tex]
=> [tex]a=\frac{37-89}{6}\times \frac{5}{18}\frac{m}{s^{2}} = -2.407 \frac{m}{s^{2}}[/tex]
What happens to energy that is used to overcome friction?
It transforms into heat and gets dissipated to the surroundings in the natural way of moving from hot locations to cooler ones.
A train traveling at 7.55m/s accelerates to a distance of 975m in 31.5 s. Whats the final velocity of the train?
A)227m/s
B)54.4
C)7.61
D)69.5
Answer:
B. 54.4 m/s
Explanation:
Using the equation;
S = ut + 1/2at²
Where;
v is the final velocity
u is the initial velocity,
a is the acceleration,
s is the displacement
Therefore;
975 =(7.55×31.5) + (0.5×a× 31.5²)
975 = 237.825 + 496.125a
496.125a = 737.175
a = 1.486 m/s²
But;
v = u + at
= 7.55 m/s + (1.486 × 31.5)
= 54.355 m/s
= 54.4 m/s
Therefore;
The final velocity is 54.4 m/s
Which describes a reflected image in a plane mirror?
A. The image is upside-down and about as far away from the mirror as the reflected object.
B. The image is right-left reversed and about as far away from the mirror as the reflected object.
C. The image appears right side up and larger than the reflected object.
Answer:
B. The image is right-left reversed and about as far away from the mirror as the reflected object.
Explanation:
A plane mirror is used in several ways in our life, from the mirror that we have on the bathroom to the mirrors we use on cars, the main difference is that the mirror reflects the image reversed on the Vertical axis, which means that the left is the right and the right is the left, a mirror also protrays objects at a certain distance, about as far away from the mirror as the reflected object but they are actually closer in real life.
Answer:
B. The image is right-left reversed and about as far away from the mirror as the reflected object.
what type of test charge do we use for an electrical field ?
Answer:
A positive charge with very small charge compared to the charge source of the field
Explanation:
Let's consider an electric field produced by a source charge Q.
In order to test the direction and magnitude of the electric field, we use a positive test charge q. The reason for chosing a positive charge is that a positive charge will move following the directions of the electric field lines (in fact, the positive charge will be repelled from charge Q if charge Q is positive, so it will follow the electric field lines, which point away from the charge).
Moreover, the test charge q must be small compared to charge Q. This is because we don't want to modify significantly the configuration of the electric field, so the test charge q must be negligible compared to charge Q.
the ability of an organism to maintain a stable internal environment even when the external environment changes
Answer:
homeostasis!
Explanation:
How did the appearance of the smallest creatures, such as the microbes and bacteria, in Earth's early history impact the geosphere?
A)
formation of rocks
B)
enriching the soil
C)
decreased moisture
D)
caused land erosion
B) Enriching the soil.
Hope this helps.
I believe the answer is B) enriching the soil. Bacteria converts energy in would organic matter into forms useful to the rest of the organization in the soil food web.
which of the following is an example of a main sequence star
I know this question is old but it still needed an answer :-) hope this helps anyone who needs it!
Please help
78% nitrogen, 21% oxygen
Ionosphere
temperature falls to -93*C
temperature continue to rise up to 1500*C
temperature drops from 17 to -52*C
protective ozone layer
UV radiation causes temperature to rise
Answer:
Thermosphere
temperature continue to rise up to 1500*C
Ionosphere
Mesosphere
temperature falls to -93*C
Stratosphere
protective ozone layer
UV radiation causes temperature to rise
Troposphere
78% nitrogen, 21% oxygen
temperature drops from 17 to -52*C
Explanation:
Which statement best explains acceleration?
i’m pretty sure the answer is B
Answer:
b
Explanation:
if Luke pushes with 22 N of force on the wagon that is now filled with bricks but he cannot make you move how much work did Luke do
Answer: He did none.
Explanation:
Even though he may have felt like he did work, none was done.
The only way for work to happen is if the object moves.
Answer:
Zero
Explanation:
Work done on an object is defined as the product of force applied on an object and the distance traveled by the object due to the applied force. here the force applied is in the direction of force.
Generally,
Work = force in the direction of displacement x displacement
Here, the displacement is zero
so, the work done by Luke to push the wagon is zero.
When giving feedback to children, your message is most useful when A. making light of the situation. B. exerting power. C. giving a clear message that matches your emotion. D. using a honeyed voice.
C. is the right answer
When giving feedback to children, your message is most useful when . giving a clear message that matches your emotion.
What is feedback?Feedback occurs when a system's outputs were being used as inputs again as part of a cause-and-effect circuit or loop. Thus, the system is said to feed back on itself. When used with feedback systems, the concept of causality must be treated. Simple causal reasoning about a feedback system is challenging because first system affects the second, which impacts the first, creating a circular argument. Because of this, it is difficult to reason utilizing cause and effect, and it is required to look at the problem as a whole.
What is message?A message is a brief item of communication that the source intended for a certain recipient or group of recipients to read. There are many other ways to deliver a signal, such as courier, telegraphy, carrier pigeon, and electronic bus. A broadcast's content might have been a message.
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Which is an important step in how an electric motor uses magnetic force to produce motion?
A) As the north pole of the electromagnet nears the north pole of the permanent magnet, the current reverses and the poles of the magnets then attract.
B) As the north pole of the electromagnet nears the south pole of the permanent magnet, the current reverses and the poles of the magnets then repel.
C) As the north pole of the electromagnet nears the north pole of the permanent magnet, the current reverses and the poles of the magnets then repel.
D) As the north pole of the electromagnet nears the south pole of the permanent magnet, the current reverses and the poles of the magnets then attract.
Answer:B.As the north pole of the electromagnet nears the south pole of the permanent magnet, the current reverses and the poles of the magnets then repel.
Explanation:
Answer:
B) As the north pole of the electromagnet nears the south pole of the permanent magnet, the current reverses and the poles of the magnets then repel.
Explanation:
As we know that electric motor is based on the concept of torque due to magnetic field on current carrying coil.
Here as the current is passing through the coil the torque on the coil is given as
[tex]\tau = NiAB sin\theta[/tex]
so here the magnetic field due to coil will continuously repelling the current carrying coil as it will move between the magnetic field so direction of current in the coil will change continuously so that it will always repel by the magnetic field and continuously rotated between the magnets
Which plate borders the Philippine plate
A African
B antártic
C Eurasian
D North American
The Philippine Sea plate is tectonically unusual in that almost all the boundaries are convergent.
The Pacific plate is subducting beneath the Philippine Sea plate to the east while the west/northwestern part of the Philippine Sea plate is subducting beneath the continental Eurasian plate.
Answer: Eurasian
Eurasian plate borders the Philippine plate. The correct option is C.
What is Philippine plate?The Philippine Sea plate has all the boundaries convergent. It is a plate that lies below the lithosphere.
The Pacific plate is shifting beneath the Philippine Sea plate to the east. The west of the Philippine Sea plate is shifting beneath the continental Eurasian plate.
Thus, Eurasian plate borders the Philippine plate. The correct option is C.
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A cyclist travels at a constant velocity of 3.2m/s westward, then speeds up with a steady acceleration of 2.3m/s^2. Calculate the cyclist’s speed after accelerating for 5.0 s.
*also tell how to work out problem*
Answer:
14.7 m/s
Explanation:
In this problem we have
u = 3.2 m/s is the initial velocity of the cyclist
a = 2.3 m/s^2 is the acceleration of the cyclist
We want to know the cyclist speed after a time of
t = 5.0 s
So we can use the following equation:
[tex]v=u+at[/tex]
Substituting the numbers, we find
[tex]v=3.2 m/s + (2.3 m/s^2)(5.0 s)=14.7 m/s[/tex]
Write a hypothesis about how the number of half-lives affects the number of radioactive atoms. Use the "if . . . then . . . because . . ." format and be sure to answer the lesson question: "How does the number of radioactive atoms change over time?"
answer- If the number of half-lives increases, then the number of radioactive atoms decreases, because approximately half of the atoms' nuclei decay with each half-life.
Answer:
Explanation:
Answer:
Explanation:
The half life is the time taken for half of a radioactive substance to disintegrate.
The shorter the half life, the larger the decay constant and the faster the decay process.
For a very large half life, it would take a very long time for the radioactive nuclide to decay to half.
With each half life reached, a new set of daughter cell is formed. Atoms that have short half life would decay rapidly. Every radionuclide has its own characteristic half-life.
If the number of half-lives increases, then the number of radioactive atoms decreases, because approximately half of the atoms' nuclei decay with each half-life. With this observation, we can hypothesise and conduct experiment to support the assertion that as the number of half-lives increases then the number of radioactive atoms decreases.
If the number of half-lives increases, then the number of radioactive atoms decreases, because each half-life reduces the quantity of radioactive atoms by about half. This is due to the nature of radioactive decay, causing a consistent, exponential decrease over time.
Explanation:A hypothesis about how the number of half-lives impacts the number of radioactive atoms might be: If the number of half-lives increases, then the number of radioactive atoms decreases because approximately half of the atoms' nuclei decay with each half-life.
In the concept of radioactive decay, a half-life denotes the period of time it takes for half of the atoms in a radioactive sample to decay. When there are more half-lives that pass, this indicates more time has passed, and therefore more of the radioactive atoms would have decayed. Consequently, the number of radioactive atoms lessens over time due to this continuous decay.
For example, if you started with 1000 radioactive atoms and the half-life of this particular substance is 1 year, after one year (one half-life), there would be approximately 500 radioactive atoms remaining. After two years (two half-lives), around 250 atoms would remain, and so on. Hence, it's crucial to realize that the decrease in the number of radioactive atoms is exponential, not linear.
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MOST elements on the periodic table are
A) gases
B) metals
C) nonmetals
D) rare earth elements
Answer:
B
Explanation:
MOST elements on the periodic table are metals.
Answer:B
the boundary between tectonic plates that are moving toward each other
Answer:
A divergent boundary is the answer
Explanation:
2. Which describes the law of reflection?
The angle of reflection equals the angle of incidence.
The angle of reflection is greater than the angle of incidence.
The angle of reflection is less than the angle of incidence.
Answer: Choice 1
Law of Reflection
Theta(i)=Theta(r)
Angle of incidence=Angle of reflection
Which describes the law of reflection?
The angle of reflection equals the angle of incidence. The angle of reflection is greater than the angle of incidence. The angle of reflection is less than the angle of incidence. Further explanationThe laws of reflection are, the incident ray, the reflected ray and the normal to the reflection surface at the point of the incidence are lie in the same plane. The reflected ray and the incident ray are on the opposite sides of the normal.
The law of reflection states that when a ray of light reflects off a surface, then the angle of incidence is equal to the angle of reflection. Light is known to behave in a very predictable manner.
In the diagram the ray of light that approaching the mirror is known as the incident ray (labeled I), whereas the ray of light that leaves the mirror is known as the reflected ray (labeled R) .
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Grade: 9
Subject: physics
Chapter: reflection
Keywords: the law of reflection, reflection, incidence, the angle of incidence, angle
which is greater -7 or -3
Answer:
-3 because its closer to 0
Explanation:
Answer:
-3
Explanation:
Because -3 is closer to 0 the closer you are to 0 in negative numbers the higher the number is
A quality that has magnitude only is a
scaler quantity has magnitude only for example mass ,speed,distance,electric current