Answer:
v² = u² + 2x²
Explanation:
v² = u² + 2as is only valid for constant acceleration. Here, the acceleration is a function of position. We can find the function of velocity by integrating. Acceleration is the derivative of velocity with respect to time:
a = 2x
dv/dt = 2x
Apply chain rule:
dv/dt = dx/dt × dv/dx
dv/dt = v × dv/dx
Therefore:
v dv/dx = 2x
Separate the variables and integrate:
v dv = 2x dx
½ v² |ᵤᵛ = x² |₀ˣ
½ (v² − u²) = x²
v² − u² = 2x²
v² = u² + 2x²
A mass of 5 kg is moving at 5 m/s when it collides with another mass of 2 kg moving in the same direction at 2 m/s. After the collision they become bonded together. What is the final velocity of the two masses together? 2.22 m/s
6.23 m/s
3.56 m/s
4.14 m/s
Answer:
4.14 m/s
Explanation:
m¹u¹+m²u²=(m¹+m²)v
5(5)+2(2)=(5+2)v
25+4=7v
29=7v
29/7=v
v=4.14 m/s
A missile is moving 1810 m/s at a 20.0 degree angle. It needs to hit a target 19,500 m away in a 32 degree direction in 9.20 seconds. What is the direction of the acceleration that the engine must produce?
Answer:
79.1°
Explanation:
Given:
x₀ = 0 m
y₀ = 0 m
x = 19500 cos 32°
y = 19500 sin 32°
v₀x = 1810 cos 20°
v₀y = 1810 sin 20°
t = 9.20
Find:
ax, ay, θ
First, in the x direction:
x = x₀ + v₀ t + ½ at²
19500 cos 32° = 0 + (1810 cos 20°) (9.20) + ½ ax (9.20)²
16537 = 15648 + 42.32 ax
ax ≈ 21.01
And in the y direction:
y = y₀ + v₀ t + ½ at²
19500 sin 32° = 0 + (1810 sin 20°) (9.20) + ½ ay (9.20)²
10333 = 5695 + 42.32 ay
ay ≈ 109.6
The direction of the acceleration is therefore:
θ = atan(ay / ax)
θ = atan(109.6 / 21.01)
θ ≈ 79.1°
Answer:
79.1°
Explanation:
A missile is moving 1810 m/s at a 20.0 degree angle. It needs to hit a target 19,500 m away in a 32 degree direction in 9.20 seconds. The direction of the acceleration that the engine must produce is 79.1°
what is Linkedin and how you can look for jobs and network with others in your career field?
Answer:
LinkedIn is a social community, or social network where connections are created between employers and employees.
A typical user creates an account, fill in their employment history, achievements and personal goals, and starts making contact with people that work in similar fields and could offer potential job opportunities.
LinkedIn is a popular tool for people looking to find jobs and new positions. You talk to people in your chosen career field, in different geographic areas, and once they look at the profile you have created, you could become a potential candidate for a job offer.
What is the magnitude of the kinetic frictional force
Answer:
Magnitude of kinetic force is the product of the normal force and the coefficient of kinetic friction.
Explanation:
The kinetic frictional force is the force which is experienced in the moving surfaces of bodies.The magnitude of the force is affected by the coefficient of kinetic friction between the material of two bodies in contact. Mathematically, it is expressed as;
Fk=μk*η
where;
Fk=force of kinetic frictionμk=coefficient of kinetic frictionη=normal forceWhat is the sum of two vectors?
A. addition vector
B. displacement vector
c. distance vector
D. resultant vector
Answer:
resultant vector
the answer is the resultant vector
The sum of two vectors D. resultant vector
What is a vector ?
A vector is an object that has both a magnitude and a direction
a) Vector addition is the operation of adding two or more vectors together using laws (such as triangle or parallelogram law ) , hence wrong option
b) Displacement is a vector whose length is the shortest distance from the initial to the final position , hence wrong option
c) Distance is not a vector quantity it is a scaler quantity , wrong option
d) The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together, hence it is a correct option
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which of the following is a helpful process in evaluating scientific claims?
a. quoting statistics
b. making lists
c. biased thinking
d. critical thinking
PLEASE NEED THE ANSWER ASAP!!!!!!!
Answer: D. If you look at the claims with critical thinking then you will be less likely to be fooled by something false
Answer: d. critical thinking
Explanation:
A scientific claim is a statement which is based on evidences obtained after the experimental trials and direct observatory approach of the process occurring in the nature.
Critical thinking based on the approach of verification and analysis can be used to evaluate the scientific claims. The result of evaluation will be reliable and acceptable. The evaluation should not be biased or presumed it will yield inappropriate results.
Describe how one plays Dr.Dogeball
Final answer:
Dr. Dodgeball is a playful game in which one player, as the virus, hits others with a sensory ball or tags them with their elbow. Those hit must 'self-isolate' or get 'vaccinated' by designated doctors to stay in the game.
Explanation:
How to Play Dr. Dodgeball
Dr. Dodgeball is an imaginative game inspired by current events and offers an interactive understanding of various concepts such as self-isolation and cooperation. To play the game, one player assumes the role of the virus, tasked with hitting their peers with a sensory ball on a trampoline.
If a player is struck by the ball, they must 'self-isolate' on the edge of the trampoline. This 'isolation' involves counting to 10 and can happen up to three times. On the fourth hit, the player performs a dramatic cough and pretends to 'die'.
In another variation, the virus player tags people with their elbow. Once tagged, a player has 10 seconds to receive a 'vaccine' from one of the two players acting as doctors by being untagged with an elbow touch. If a doctor manages to tag the original virus player, the game ends, and either the roles rotate or the same doctor becomes the new virus for the next round.
The game is flexible and can be played in various settings including neighborhoods, parks, and even remotely using mobile devices.
Overall, Dr. Dodgeball can be described as a playful way to engage in physical activity while incorporating themes from the health world, such as virus transmission and preventive measures, into the gameplay.
A random sample of 10 of the 2005 Nextel Cup NASCAR drivers produced the following ages: 33, 48, 41, 29, 40, 48, 44, 42, 49, 28. a. Find the mean age for the 10 NASCAR drivers of the 2005 Nextel Cup. b. Find the median age for the 10 NASCAR drivers of the 2005 Nextel Cup. c. Find the midrange of age for the 10 NASCAR drivers of the 2005 Nextel Cup. d. Find the mode, if one exists, for age for the 10 NASCAR drivers of the 2005 Nextel Cup.
Answer:
Mean 40.2Median 41.5Mid-range 38.5Mode 48Explanation:
Arrange the given data in increasing order
Given, 33, 48, 41, 29, 40, 48, 44, 42, 49, 28.
⇒28,29,33,40,41,42,44,48,48,49
⇒number of sample ,n, =10
⇒The mean is sum of sample÷number of samples
[tex]28+29+33+40+41+42+44+48+48+49=402\\\\\\\\n=10\\\\mean=\frac{402}{10} =40.2[/tex]
⇒Median is the center value in the data set
28,29,33,40,41,42,44,48,48,49---------In this case , median is half sum of 41 and 42
[tex]median=\frac{41+42}{2} =\frac{83}{2} =41.5[/tex]
⇒The mid-range is the mean of the sum of the least and greatest value
=(28+49)÷2 =77÷2=38.5
⇒Mode is the value that appears most in the data set
28,29,33,40,41,42,44,48,48,49-----------mode is 48
Protons are found in the
of the atom.
O A. nucleus
Bmembrane
o C. electron clouds
OD. outside
Answer:
A. nucleus
Explanation:
Protons are found in the nucleus of the atom.
farthest Galaxy in the universe
Answer:
Galaxy MACS0647-JD
Explanation:
How is centripetal force affected if an object increases its mass?
Explanation:
Centripetal force is:
F = m v² / r
where m is mass, v is velocity, and r is radius.
Force is proportional to mass, so if mass increases, then force also increases.
If mass increases centripetal force will also increase
What is centripetal force ?A centripetal force is a net force that acts on an object to keep it moving along a circular path.
centripetal force = m[tex]v^{2}[/tex] /r
where m = mass of the object
v = velocity of the object
r = radius of the circular path
since . mass is directly proportional to centripetal force
hence , if mass increases centripetal force will also increase
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Pressure of gas is 13.6 cm of hg what does it means
Explanation:
13 cmHg (centimeters of mercury) is the pressure at the bottom of a column of mercury 13 cm deep. It is the equivalent of about 17.3 kPa or 2.5 psi.
To play ice hockey, each player needs ________. skates rollerblades crosses sunglasses
Answer:
skates
Explanation:
Ice hockey is considered to be an extremely tough sport in which there are twelve players who fights over small 3" puck which can be launched like a missile. If one plays ice hockey he should must have necessary equipment to support his sport. These equipment include Ice Skates,Helmet with Cage and Mouth-guard:, Hockey stick, Hockey pants,Hockey gloves, shoulder pads, elbow pads, Shin Guard:Neck guard and Jockstrap (men) or Pelvic protector (women).
Here we can see that correct choice is ice skate which is important for supporting player's ankles while playing ice hockey.
Hope it helps!
what is the resultant velocity
The sum of more than one velocity vector.
Or the sum of an initial velocity vector and an acceleration vector integrated over time.
I NEED PHYSICS HELP? THE QUESTION IS IN THE PIC
Speed of the block at the bottom of the incline: 5.42 m/s
The first part of the problem can be solved by using the law of conservation of energy. Since the ramp is frictionless, the initial gravitational potential energy of the block at the top of the ramp is converted into kinetic energy at the bottom:
[tex]mgh = \frac{1}{2}mv^2[/tex] (1)
where
m is the mass of the block
g = 9.8 m/s^2 is the acceleration of gravity
h is the initial height of the block
v is the speed of the block at the bottom
The initial height of the block is equal to the height of the ramp, so
[tex]h=L sin \theta[/tex] (2)
where
L = 3.00 m is the length of the ramp
[tex]\theta=30^{\circ}[/tex] is the angle of the ramp
Substituting (2) into (1) and re-arranging the equation, we find the speed
[tex]2gL sin \theta = v^2[/tex]
[tex]v=\sqrt{2gL sin \theta}=\sqrt{2(9.8)(3.00)sin 30^{\circ}}=5.42 m/s[/tex]
Coefficient of kinetic friction between the floor and the block: 0.3
In the second part of the motion, the block is slowed down by friction along the flat surface. According to the work-energy theorem, the work done by friction is equal to the change in kinetic energy of the block:
[tex]W=\Delta K=K_f -K_i[/tex]
where
W is the work done by friction
Kf is the final kinetic energy of the block, which is zero since the block comes to rest
[tex]K_i = \frac{1}{2}mv^2[/tex] is the initial kinetic energy of the block, where
m = 10.0 kg is the mass of the block
v = 5.42 m/s is its initial speed
Substituting into the equation, we find
[tex]W=-\frac{1}{2}mv^2=-\frac{1}{2}(10.0)(5.42)^2=-146.9 J[/tex]
and the work is negative, since the direction of the force of friction is opposite to the direction of motion of the block.
Now we can rewrite the work as the product between the force of friction and the displacement of the block:
[tex]W=-F_f d = - \mu mg d[/tex]
where
[tex]\mu[/tex] is the coefficient of friction
d = 5.00 m is the displacement of the block
Solving for [tex]\mu[/tex],
[tex]\mu = - \frac{W}{mgd}=-\frac{-146.9}{(10.0)(9.8)(5.00)}=0.3[/tex]
Evaluate tan45/tan45
Answer:
1
Explanation:
tan 45° = √2\2
tan θ = y\x
According to the Unit Circle, when you divide √2\2 by
itself, you get 1.
I'm not sure I completely understand the expression you want evaluated.
It looks like a fraction with the same exact thing in both the numerator and the denominator. A fraction like that always boils down to ' 1 '.
Iron oxide reacts with aluminum to give aluminum oxide and iron. What kind of chemical reaction is this? A. combustion B. decomposition C. replacement D. synthesis
Answer: Option (C) is the correct answer.
Explanation:
In a chemical reaction, where two different compounds or a mate and a compound are reacting with each other then more reactive metal is able to displace less reactive metal.
When only one element gets displaced then it is known as a replacement or single replacement reaction.
For example, [tex]Fe_{2}O_{3}(s) + 2Al(s) \rightarrow Al_{2}O_{3}(s) + 2Fe(l)[/tex]
Here, aluminium is more reactive in nature as compared to iron. Hence, iron is replaced by aluminium and this reaction is known as replacement reaction.
Thus, we can conclude that the given chemical reaction is replacement.
Which of these questions is a scientific question about skateboarding?
A How fast does a skateboard move at the bottom of a ramp?
B. Which color of wheel looks best?
C. Should skateboarding be allowed in shopping malls?
D. What is the best trick to do while moving backward?
Answer:
A How fast does a skateboard move at the bottom of a ramp?
Explanation:
How fast does a skateboard move at the bottom of a ramp is a scientific question about skateboarding.
'A' is the only one that can be tested and measured.
'B' and 'D' ask for 'best'. 'C' asks 'should'. These are things that can't be measured, and they're individual opinions anyway.
Explain reflection and refraction
A bobcat jumps with a speed of 5 m/s at an angle of 55º. How long does the
bobcat stay in the air?
Answer- 0.84 s
Explanation:
y = y₀ + v₀ᵧ t + ½ gt²
where y is the final height,
y₀ is the initial height,
v₀ᵧ is the initial vertical velocity,
g is the acceleration due to gravity,
and t is time.
0 m = 0 m + (5 sin 55º m/s) t + ½ (-9.8 m/s²) t²
0 = 4.10 t − 4.9 t²
0 = t (4.10 − 4.9 t)
t = 0, t = 0.84
The bobcat lands after 0.84 seconds.
Answer:
0.84
Explanation:
Apex ; good luck with your tests!
A hunter directs his uncalibrated rifle towards a monkey sitting on a tree, at a heigh above the ground and at distance . the instant the monkey observes the flash of the fire of the rifle ,it drops from the tree.Will the bullet hit the monkey?
Answer:
Yes if the hunter has great accuracy it would hit the monkey, It might even hit it in a more fatal spot. For example, if you were aiming at the belly area and he dropped as you took the shot then maybe it hits more towards a deadly organ or the brain. Bullets travel insanely fast speeds, and I hunt so yes, it would definatly hit the monkey if the hunter was accurate
Hope this helps ya' :)
Good Luck :D
The bullet will hit the monkey as they both are subjected to the same gravitational pull and fall to the ground at the same rate after the rifle is fired and the monkey drops.
Explanation:The subject of this question is Physics. The situation described here is a perfect example of Projectile Motion and gravitational force.
When a bullet is fired horizontally (assuming the absence of air resistance), it will start to drop immediately due to earth's gravity. Similarly, when the monkey observes the flash of the fire and drops, it is subjected to the same gravitational pull. Therefore, it doesn't matter that the monkey lets go of the tree because the bullet and the monkey both fall towards the earth at the same rate. So, if the hunter aims directly at the monkey at the instant it drops, the bullet will hit the monkey.
This question highlights an interesting point about projectile motion and how gravitation plays an important role in it. It ensures that all objects near earth fall to the ground at the same rate, regardless of their horizontal motion.
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by what are isotopes identified?
A.mass numbers
B.atomic masses
C.atomic mass units
D.average atomic masses
The image shows a dam. Which descriptions best fit the labels?
X: kinetic energy
Y: potential energy
X: potential energy
Y: kinetic energy
X: mechanical energy
Y: electrical energy
X: electrical energy
Y: mechanical energy
Answer:
X: potential energy
Y: kinetic energy
Explanation:
At x water is held at a height relative to the turbines the water turns. Water is then forced by gravity to move down the dam to try to reduce the potential energy and create an equilibrium.
This process transforms potential energy into kinetic energy once the water is set in motion.
Answer:
X: potential
Z:kinetic
Just did it on edge nuity 2020
At what height from the earth, g becomes
?
a)g/2
b) 0.414 R
d) R
c) 0.7 R
Explanation:
Near the surface of the Earth (sea level), gravity decreases with height such that linear extrapolation would give zero gravity at a height of one half of the Earth's radius - (9.8 m. s−2 per 3,200 km.)
Height from the earth, g becomes g/2.
What is meant by gravity-g?The gravity of Earth, which is denoted by g, refers to the acceleration that the Earth imparts to objects on or near its surface. In SI units this acceleration is measured in metres per second squared (in symbols, m/s2) or equivalently in newtons per kilogram (N/kg).Height from the earth, g becomes g/2.
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If A bar + B bar = C bar and magnitude of A bar + magnitude of B bar = magnitude of C bar. Then the angle between A bar and B bar is
A) 45°
B) 60°
C) 90°
D) 0°
Answer:
D) 0°
Explanation:
If vectors A and B add up to vector C, then vector C must start where A starts and end where B ends.
Since we also know the magnitudes of A and B add up to the magnitude of C, then A, B, and C must be inline with each other.
Therefore, the angle between A and B is 0°.
The horizontal component of force acting at an angle of 30 degree with the horizontal is 100N.Find the magnitude of the force and its vertical component.
Explanation:
Using trigonometry:
cos θ = Fx / F
cos 30 = 100 / F
F = 115.47
tan θ = Fy / Fx
tan 30 = Fy / 100
Fy = 57.74
The magnitude is 115.47 N and the vertical component is 57.74 N. Round as needed.
What are three disadvantages of making and using plastic? It pollutes the land and water. It requires cutting down trees for raw materials. It takes an incredibly long time to break down. It freely conducts heat and electricity. It isn’t easy to recycle.
Answer:
The correct answers would be option A, C and E.
Explanation:
A material made up of synthetic or semi synthetic compounds is called Plastic. This material is malleable and can be molded into solid form. There are many disadvantages of using the plastics. Three of the main disadvantages are :
- Plastic pollutes the land and water. Because it does not decay.
- Plastic takes an incredibly long time to break down.
- Plastic is not easy to recycle.
Above mentioned problems make the use of plastic so undesirable.
Answer:
A. It pollutes the land and water.
C. It takes an incredibly long time to break down.
E. It isn’t easy to recycle.
Explanation:
when a force of 5N acts on a surface, it produces a pressure of 500pa. what is the area of surface
Force that acts on area is defined as pressure,
[tex]p=\dfrac{F}{A}[/tex]
If we solve for area,
[tex]A=\dfrac{F}{p}[/tex]
Now put in the data.
[tex]A=\dfrac{5N}{500Pa}=\boxed{0.01m^2}[/tex]
The area of surface is 0.01m^2
Hope this helps.
r3t40
WILL GIVE BRAINLEST!
Why is this an open energy system?
Answer:
Open energy system models are energy system models that are open sources.
In a video game, a ball moving at 0.6 meter/second collides with a wall. After the collision, the velocity of the ball changed to -0.4 meter/second. The collision takes 0.2 seconds to occur. What’s the acceleration of the ball during the collision? Use .
Answer:
-5 m/s²
Explanation:
Acceleration = change in velocity / change in time
a = (v − v₀) / (t − t₀)
a = (-0.4 m/s − 0.6 m/s) / 0.2 s
a = -5 m/s²
The ball decelerates at a rate of -5 m/s².
Answer: -5 m/s²
Explanation: