[tex]x_{0} = v \sqrt{\frac{m}{2k}\\}[/tex] is the velocity of the object.
What is Law of conservation of energy?It states that energy can neither be created nor destroyed only converted from one form of energy to another.
According to law of conservation of energy:
T.E = Constant.
Also , P.E. = [tex]\frac{1}{2} kx^{2}[/tex] , K.E. = [tex]\frac{1}{2} mv^{2}[/tex]
T.E = P.E + K.E = [tex]\frac{1}{2} mv^{2}[/tex]
According to the question ,
2P.E. = [tex]\frac{1}{2} mv^{2}[/tex]
P.E. = [tex]\frac{mv^{2} }{4} = \frac{1}{2} k x_{0} ^{2}[/tex]
[tex]x_{0} ^2= v^{2} \frac{m}{2k}\\[/tex]
[tex]x_{0} = v \sqrt{\frac{m}{2k}\\}[/tex]
Therefore, the velocity of the object when the spring returns to the equilibrium position is best represented by [tex]x_{0} = v \sqrt{\frac{m}{2k}\\}[/tex]
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Q1.
(a) Some students have designed and built an electric-powered go-kart. After testing, the
students decided to make changes to the design of their go-kart.
First design X
Final design Y
The go-kart always had the same mass and used the same motor.
The change in shape from the first design (X) to the final design (Y) will affect the top
speed of the go-kart.
Explain why.
Answer:Because if the shape gets changed it will move faster without to much weight
Explanation:
Why is CH4 not a suitable proxy for the surface pressure?
Explanation:
Methane (CH4) is 30 times stronger than carbon dioxide as an absorber of infrared radiation.
Answer:
The main reasons why CH4 has a higher vapor pressure at a given temperature when compared to CH3Cl is that CH4.
And Is 30 Times Stronger than Carbon dioxide...
Explanation:
Hope It Helps!!!
Explain how differences in air pressure allows us to breathe
Difference in air pressure helps us by contraction and relaxation of lungs which forces air in and out of the lungs.
What is pressure?The pressure is the amount of force applied per unit area. It is represented as
Pressure p = Force/Area
The atmospheric pressure is constant. The flow of air is determined by how much above or below atmospheric pressure. The pressure inside the lungs rises or falls. The diaphragm in the lung contracts and relaxes which forces air in and out of the lungs.
Hence, the person uses diaphragm of lungs to breathe.
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Which processes occur during the second stage of technological design? Check all that apply.
designing a solution
studying relevant information
rebuilding and retesting
reporting a solution
defining criteria of success
identifying a problem
building a prototype
Answer:
designing a solution
Explanation:
after knowing & identifying a problem we start putting a solution
A proton moves in the negative x-direction through a uniform magnetic field in the negative y-direction what is the direction of the magnetic force acting on the proton?
out of the page
into the page
in the positive y-direction
in the negative y-direction
In one day, a large tree sheds 82 gallons of water through its leaves into the atmosphere. how many cubic meters of water is this?
Answer:
0.372779 cubic meters
Explanation:
Answer:
.3104 m^3
Explanation:
1 gal (US) = .00378541178 m^3
Two liquids A and B of relative densities 0.7 and 0.4 respectively are mixed with water, kl. How will the mixture. arrangement occur in a given container?
The liquid A is present lower in the container as compared to liquid B due to more weight.
How will the mixture. arrangement occur in a given container?If two liquids A and B of relative densities 0.7 and 0.4 respectively then the lower density liquid remain at the top and higher density solution which is liquid A remains lower in the container because higher density solution has more weight.
So we can conclude that the liquid A is present lower in the container as compared to liquid B due to more weight.
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Can someone PLEASE explain:
Average velocity = u + v / 2
(How do you find the initial and the final velocity in a situation)
durning which type of process does pressure remain consistent
A.Isothermal
B.isolated
C.Adiabatic
D.Isobaric
Answer:
[tex]\fbox {D. Isobaric}[/tex]
Explanation:
The process during which pressure remains constant is called an isobaric process.
How many degrees is the maximum and minimum variation between the true and magnetic poles?
The maximum and minimum variation between the true and magnetic poles is 180 degrees and 0 degrees respectively.
What are the true and magnetic poles?The poles of the earth are the North and South poles.
The North is taken as the reference point.
The true north is a fixed point on the globe and gives the true North and South poles.
The Magnetic north is the direction that a compass needle points to as it aligns with the Earth's magnetic field and gives the magnetic North and South poles.
The maximum maximum and minimum variation between the true and magnetic poles is 180 degrees and 0 degrees respectively.
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If a liquid has a density of 1.67 g/cm^3, what is the volume of 45g of the liquid?
Answer:
V = 26.95 cm³
Explanation:
Density is given by the formula :
ρ = m÷V
Density = mass ÷ Volume
Given both density and mass we rearrange, substitute and solve for Volume :
Rearranging the equation to make Volume the subject :
ρ = m÷V
ρV = m
V = m÷ ρ
Now substitute :
V = 45 ÷ 1.67
V = 26.9461077844
Take 2 decimal places as the density is 2 decimal places :
V = 26.95
Units will be cm³ as it is volume
Hope this helped and have a good day
A 10-cm long pencil is placed upright 50 cm from a concave mirror with focal length 0.50 m. What will be
the characteristics of any image that is formed?
A virtual and erect image is formed by concave mirror.
What is focal length?The focal length of the mirror is the distance between the lens and the image sensor.
It is also defined as the distance from a lens or mirror to the focal point.
It is also stated by the formula
[tex]\frac{1}{y} +\frac{1}{u} = \frac{1}{f}[/tex]
u = -50 cm and f = 0.50 m (50cm)
[tex]\frac{1}{v} +\frac{1}{-50} =\frac{1}{50}[/tex]
v= -50 cm
where - sign shows that image is virtual.
Magnification m= [tex]\frac{v}{u}[/tex]
m = -50/50
m = 0
hence, virtual and erect image will be formed.
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what is the index of the refraction?
Answer:
The value of index of refraction(n₂) is 1.26
Explanation:
look at the attachment above
The compass uses a pendulous system to improve?
The compass is designed and developed to use a pendulous system to improve horizontality.
What is a compass?A compass can be defined as a scientific instrument that contains a magnetized pointer, which is used to show and indicate the following four (4) main cardinal directions:
North (N)South (S)West (W)East (E)Basically, the compass is a scientific instrument that's designed and developed to use a pendulous system to improve horizontality.
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5. On a hot summer day the grass feels cooler than the sidewalk, because
O
O
the grass has a higher specific heat
the grass has a smaller surface area
the sidewalk is at a higher temperature
Answer:
because the side walk is at high temperature
Prakash kicks a ball of mass 500 g which moves with a velocity of 10 m/s. Passang kicks the same ball and it moves with a velocity of 20 m/s. Compare the kinetic energy acquired by the ball in the two cases. TL Thou Prakash kicks a ball of mass 500 g which moves with a velocity of 10 m / s . Passang kicks the same ball and it moves with a velocity of 20 m / s . Compare the kinetic energy acquired by the ball in the two cases . TL Thou
Answer:
750
Explanation:
The kinetic formula is 1 over 2 *mass * velocity Square
why would north america will not be able to view the eclipse
The North America will not be able to view the eclipse because of its location on the earth caused by the tilting of the earth.
Effect of tilting of the EarthThe tilt of the Earth is what causes seasons to occur. These are the seasons in relation to the Northern Hemisphere.
The tilting of the Earth causes the difference in the amount of sun reaching each region of the earth like in the North America continent.
Thus, the North America will not be able to view the eclipse because of its location on the earth caused by the tilting of the earth.
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a girl swims along the length of 80m in swimming pool and comes back in 1.5sec. find her distance and displacement
the distance is the first 80m+the second 80m she came back. So the distance is 160m. but the displacement is 0, because she came back by the direction she went.
The strength of a magnetic field around a wire carrying a current of 20 A is 0.004 T. What is the strength of the magnetic field if the current is changed to 40 A ?
Given the increased current, the strength of the magnetic field around the wire carrying the current increases to 0.008T
What is the strength of the magnetic field if the current is changed to 40 A ?Given that;
First scenario
Strength of magnetic field B = 0.004TCurrent A = 20ASecond scenario
Strength of magnetic field B' = ?Current I' = 40AFirst, we determine the strength of the magnetic field.
B/I = B'/I'
0.004T/20A = B'/40A
B' = ( 0.004T × 40A ) / 20A
B' = 0.16AT / 20A
B' = 0.008T
Given the increased current, the strength of the magnetic field around the wire carrying the current increases to 0.008T
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How would the number 13,900 be written using scientific notation?
a. 13.9 x 104
C.
b. 1.39 x 104
1.39 x 10³
d. 1.39 x 105
Which one is it??
Answer:
um d. but I am guessing this ans
Two cars, with the same mass and traveling at the same speed, hit large trees head-on. One car has a rigid body that undergoes little or no deformation in the collision. The other has ``crumple zones'': portions of the body designed to crumple and deform in such a collision. How does this improve the chances that the driver of the second car will survive the event
The crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.
Newton's third law of motion
According to Newton's third law of motion, action and reaction are equal and opposite.
The car with rigid body will exert maximum force to the driver while the car with crumple zone will exert lesser force to the driver since the crumple zone will act as shock absorber, reducing the impact of the force on the driver.
Thus, the crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.
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We have an Atwood device, two blocks connect by a string strung over a pulley, but the twist this time is that both blocks are on perfectly smooth inclines. The upper block is on an incline 15 degrees to the horizontal and has a mass of 7kg. The lower block is on an incline of 65 degrees to the horizontal and has a mass of 11kg. Find the acceleration of the system?
The Acceleration of the system is 6.41 m/s².
Given,
α= 15°, m₁ = 7kg
β= 65°, m₂ = 11 kg
Let, a be the acceleration and T is the tensions at the end it's the cord.
Let, the mass m₂ be coming down along the inclined plane along the inclined surface towards downward m₂g sin β and the tension in the upward direction,
Resultant force, m₂a=m₂g sin β -T
11a=((11) ×g sin 65°) -T ...(i)
Now, considering the motion of m₁ which moves downwards, the forces are m₁g sinα, and T both are acting downwards.
Resultant force m₁a = m₁g sin α+T
7a =7g sin 15°+T ...(ii)
Solving both the equations by adding them,
18a=11gsin 65°+7g sin 15°-T+T
18a=11gsin 65°+7g sin 15°=115.45
a=115.45/18=6.41 m/s²
Hence, the Acceleration of the system is 6.41 m/s².
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what should be done to protect forest ?
Plant trees on places where forests have been chopped down to restore damaged ecosystems. Encourage individuals to live in a way that is environmentally friendly. Create parks to conserve the rainforests and animals. Companies that operate in environmentally friendly methods should be supported.
define reference point
Answer:
A reference point is a place or object used for comparison to determine if something is in motion. An object is in motion if it changes position relative to a reference point.
Hope this helps:)
Explain an example of an object moving in projectile motion.
An example of an object moving in projectile motion is; A basketball being thrown into a net.
What is an example of a Projectile Motion?Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity.
Now, an example of an object moving in a projectile motion is throwing a basketball into a basketball net in a game. This is because the ball is thrown into the air at an angle towards the net and as such is subject to only acceleration of gravity.
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The farther you bring charged objects
Answer:
Weaker, stronger
Explanation:
hope this helped!
Answer:
[tex]\fbox {weaker, stronger}[/tex]
Explanation:
The farther you bring charged objects from each other, the weaker the electrical force between them, and the bigger the charges on the objects, the stronger the electrical force between them.
Proving
Here we need the formula for Coulomb's Law, which is :
[tex]\boxed {F = \frac{1}{4\pi\epsilon_{0}}\times\frac{q_{1}q_{2}}{r^{2}}}[/tex]
As we can see, when the distance increases, the overall force will decrease as they are inversely proportional.
Similarly, as the product of charges is directly proportional to the electrical force produced, as the charges increase, the force increases.
You have a wooden bench in your living room. You set your backpack on the bench and lean your hand against the wall. Name two action-reaction pairs that are present in this situation
The action-reaction pairs in the given situation are:
the backpack and the bench the and and the wallWhat are action-reaction pairs?Action-reaction pairs are two forces which are equal but oppositely directed in their line of action.
Action-reaction pairs are according to Newton's third law of motion.
The action-reaction pairs in the given situation are:
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matter falling into a black hole arranges itself in the shape of a ____.
Matter falling into a black hole arranges itself in the shape of a disk that is thick at the outer edge, thin along the inner ring.
What is black hole?A black hole is a region of space time where gravity is so strong that nothing or no particles or even electromagnetic radiation such as light can escape from it.
Thus, matter falling into a black hole arranges itself in the shape of a disk that is thick at the outer edge, thin along the inner ring.
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Many medicines started out as natural products. Aspirin was originally made from _______________
A. The bark of the willow tree
B. Poppies
C. Mold
D. The foxglove flower.
Answer:
A
Explanation:
ASA was found in the bark of willow trees.
51. A balloon starts rising from the ground, vertically upwards, uniformly at the rate of 1 m s-1. At the end of 4 seconds, a body is released from the balloon. Calculate the time taken by the released body to reach the ground. 51. A balloon starts rising from the ground , vertically upwards , uniformly at the rate of 1 m s - 1 . At the end of 4 seconds , a body is released from the balloon . Calculate the time taken by the released body to reach the ground
Answer:
4s
Explanation:
when a bOdy rises into the air,the time it takes to reach a particular height is the same as the time it will take the body to fall from that height to the ground.