The potential energy of the spring is 6.75 J
The elastic potential energy stored in the spring is given by the equation:
[tex]E= \frac{1}{2} kx^2[/tex]
where;
k is the spring constant
x is the compression/stretching of the string
In this problem, we have the spring as follows:
k = 150 N/m is the spring constant
x = 0.3 m is the compression
Substituting in the equation, we get
[tex]E=\frac{1}{2} (150) (0.3)^2[/tex]
[tex]E=6.75J[/tex]
Therefore. the elastic potential energy stored in the spring is 6.75J .
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using knowledge of states of matter,write a message about the importance of science in our society
Answer:
उव्ग्वुव ह्व्झ एउएइहे एइएइएइएएइ सिसुब्स्सी बीस सिस इस्ब एइब
Explanation:
?उग्व्ब्वु विब्सिए इसिग्व विद्बिअब्द सिह्व्व इस्ब्व दिव्ब्स विह्द ऐद्जिइ सुउगव्दी सिइगैगे क्ज्गैइव अजिव्व्ज्व्स कैह्द अजि ह्ज्फ्ज इअह इकुगै ईग इअबे अजिव्ब जैइअब इऐहे ऐइहे ऐइग्गे अत्व्ब ओप्झब रोज दिधिए ऊइफ्ब इसुहद ईउहे सिउउअ दिइब्द स्सिउए ऐइहे सिएय्व एउविये एइव्वे
Kristen has two identical sized cubes, one is lead (Pb) and one is copper (Cu). Kristen is determining the density of each cube. Which property will be the same in each cube?
Answer:
volume
Explanation:
Identical size means volume will be the same in each calculation of
density = mass / volume
([3] w) p
18.0
16.0-
14.0
12.0-
10.0-
8.0 -
6.0
4.0
2.0 -
0-
0
0.5
Position v. Time for Motion with Uniform Acceleration
1.0 1.5
2.0
t(s)
2.5
run
3.0
3.5
4.0
rise
4.5
Practice
1. (a) Determine the instantaneous velocity at t= 1.0 s for the graph shown in Figure 6.
(b) Determine the instantaneous velocity at t = 3.0 s for the graph shown in Figure 6.
I need help figuring out what steps I should take.
Explanation:
the density of liquid x is 40g and a bottle full of water has the density of 70g find the density of liquid x (d=1g/cm3)
A stone of weight $w$ is thrown vertically upward into the air with an initial speed $v_0$. Suppose that the air drag force $f$ dissipates an amount $fy$ of mechanical energy as the stone travels a distance $y$. What is the speed of the stone upon impact with the ground
The speed of the stone upon impact with the ground [tex]{V_f}={V_o} (\frac{w-f}{w+f})^{\frac{1}{2}}[/tex]
GivenThe initial speed = [tex]{V_o}[/tex]
Explanation
Acceleration
The state of going quickly or taking place quickly.acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.Acceleration when ball is moving upward = (w + f)/m
[tex]$\mathrm{V}_{\mathrm{f}}^{2}-\mathrm{V}_{\mathrm{i}}^{2}=2 \overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{s}}$[/tex]
[tex]$=0-\mathrm{V}_{0}^{2}=-2 \mathrm{~s}\left(\frac{\mathrm{w}+\mathrm{f}}{\mathrm{m}}\right)$[/tex] ..... (i)
[tex]$\mathrm{s}=\frac{\mathrm{V}_{0}^{2}}{2\left[\frac{\mathrm{w}+\mathrm{f}}{\mathrm{m}}\right]}$[/tex]
While coming down
[tex]{V_i=0}[/tex]
[tex]$\mathrm{V}_{\mathrm{f}}^{2}-\mathrm{V}_{\mathrm{i}}^{2}=2 \overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{s}} ; \mathrm{a}=(\mathrm{w}+\mathrm{f})$[/tex]
[tex]$\mathrm{V}_{\mathrm{f}}=\sqrt{\frac{2 \times(\mathrm{w}-\mathrm{f}) \mathrm{V}_{0}^{2}}{2(\mathrm{w}+\mathrm{f})}}$[/tex]
[tex]$\mathrm{V}_{\mathrm{f}}=\mathrm{V}_{\circ}\left(\frac{\mathrm{w}-\mathrm{f}}{\mathrm{w}+\mathrm{f}}\right)^{1 / 2}$[/tex]
The speed of the stone upon impact with the ground
[tex]$\mathrm{V}_{\mathrm{f}}=\mathrm{V}_{\circ}\left(\frac{\mathrm{w}-\mathrm{f}}{\mathrm{w}+\mathrm{f}}\right)^{1 / 2}$[/tex]
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The immersed volume of body in a liquid depends on density of the liquid. TRUE or FALSE?
Answer:
True - Archimedes Principle states that the buoyant force on an object is equal to the weight of the liquid displaced.
A counterclockwise current of 3.0 A is circling around a wire loop (positioned directly in front of you) having an area of 5.8 x 10-2 m2. What is the magnetic dipole moment
The magnetic dipole moment of the wire loop is 0.174 Am².
Magnetic dipole momentThe magnetic dipole moment is calculated as follows;
μ = NIA
where;
N is number of loopI is currentA is area of the loopμ = (3)(5.8 x 10⁻²)
μ = 0.174 Am²
Thus, the magnetic dipole moment of the wire loop is 0.174 Am².
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If you mix 100 g of ice at 0 ∘c with 100 g of boiling water at 100 ∘c in a perfectly insulated container, the final stabilized temperature will be.
The final stabilized temperature will be between 0 °C and 50 °C.
Calorimetry:
The enthalpy of fusion of ice is 334 J/g. The specific heat of water is 4.2 J/g.
To cool 100 g of water from 100 °C to 0 °C would require the removal of
4.2 x 100 x 100 = 42000 J.
To melt the ice would require the addition of
334 x 100 = 33400 J
∴ 42000 > 33400 thus you can melt all the ice and have some heat to spare, specifically 42000 - 33400 = 8600 J
Now use this to warm up 100+100 = 200 g of water at 0 °C
The final stabilized temperature;
8600 / (200 x 4.2) = 10.23 °C
Therefore, the final stabilized temperature is 10.23 °C
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An electron is accelerated from rest by an electric potential difference of 437 V, and then enters a region of uniform magnetic field. The magnetic field is oriented perpendicular to the velocity with a magnitude of 42.8 mT. What will the radius of the electron's path be once it enters the magnetic field
The radius of the electron's path is once it enters the magnetic field 3.16*10^-4 m.
The electric capacity difference, additionally called voltage, is the outside work needed to bring a rate from one region to some other area in an electric discipline. The electric powered capacity distinction is the change of potential electricity skilled by way of a test rate that has a fee of +1.
The distinction in ability among two points represents the paintings worried or the electricity released in the switch of a unit amount of power from one factor to the other.
Electric ability is the work executed in step with unit fee in bringing the fee from infinity to that factor against electrostatic pressure. In a conductor, electrons float simplest when there is a difference in electric stress at its ends. This is additionally known as the capacity distinction.
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What is the approximate de Broglie wavelength of a tennis ball with a mass of 70 g and a velocity of 10 m/s
The approximate de Broglie wavelength of a tennis ball is 9.4×10^(-34) m.
What is the de Broglie wavelength:
It is the wavelength that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength.
A particle's de Broglie wavelength is usually inversely proportional to its force.
The formula of de Broglie wavelength:
λ = h / ( m*v )here mass of a tennis ball is given
mass, m=70 g = 0.07 kg
ball is moving with velocity
v = 10 m/s
h is Plank constant,
h=6.63×10^(-34) Js
substituting the values in formula,
λ = 6.63×10^(-34) / ( 0.070*10)
λ = 9.4 ×10^(-34) m
Hence
The approximate de Broglie wavelength of a tennis ball is 9.4×10^(-34) m
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According to the Theory of Continental Drift, South America and Africa once formed part of a single larger continent called Pangaea that eventually broke apart. Today, the average distance between matching shorelines of South America and Africa is about 8000 km. Measurements indicate that the continents are drifting apart at a speed of about 4.0 cm/year. a. According to these measurements, how long ago did these continents separate? b. What assumptions did you make in order to answer (a)?
According to the Theory of Continental Drift, we can predict that:
a. These continents separate for an average of 200000000 years b. The assumption made is that the current distance is 8000 km which is 800000000 cm.Meaning of Continental DriftContinental Drift can be defined as a hypothesis that was put forth, that the Earth's continents have moved over time relative to each other and as the time goes its keeps on moving, increasing the distance between them.
Continental Drift makes the continents look like they have drifted across the ocean.
In conclusion, Our predictions are stated above.
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An object moving with a speed of 1 m/s accelerates uniformly at 9 m/s2 in the direction of its motion for a distance of 7 meters. What is the final speed of the object
The final speed of the object is 11.2m/s.
To find the answer, we need to know about the Newton's equation of motion.
What's the Newton's equation of motion that establish a relation between initial velocity, final velocity, acceleration and distance?The Newton's equation of motion is V²-U²= 2aSU = initial velocity, V= final velocity, a= acceleration and S = distance.What's the final velocity, if initial velocity, acceleration and distance are 1m/s, 9 m/s² and 7m respectively?Here, U= 1m/s, a= 9 m/s² and S= 7mV²- 1²= 2×9×7= 126V= √126= 11.2 m/s
Thus, we can conclude that the final speed is 11.2 m/s.
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When a current is passed through plasma and that current is increased will the temperature of the plasma increase . if it does then as temperature of plasma increases its resistance will decrease which will lead to increase in current again
The temperature of the plasma will increase as current is passed through it.
Meaning of Current and temperatureCurrent can be defined as a flow of charged particles through a medium and the particles includes: electrons or ions.
Temperature is the degree of hotness or coldness experienced by a material.
The more current passes through the plasma the more energy is induced making the particles to move faster which in turns causes temperature to increase and reducing the resistance of the plasma.
In conclusion, The current causes temperature to increase and this reduces the resistance.
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You are traveling at 55 mi/h along the x-axis relative to a straight, level road and pass a car that is traveling at 45 mi/h. The relative velocity of your car to the other car is
Answer:
10 mph
Explanation:
55 - 45 = 10 mph
The volume of a certain quantity of nitrogen at 0 ºC is 10 L. Determine, if the pressure does not vary, what the volume will be at -20 ºC. What would happen if instead of N2 the gas was hydrogen?
From the calculations, the volume of the gas is obtained as 9.3 L
What is the gas laws?The gas laws show the relationship between the volume, pressure, temperature and the number of moles of a gas.
Given that;
V1 = 10 L
T1 = 0 ºC + 273 = 273 K
V2 = ?
T2 = -20 ºC + 273 = 253 K
It then follows that;
V1/T1 = V2/T2
V1T2 = V2T1
V2 = V1T2/T1
V2 = 10 L * 253 K/273 K
V2 = 9.3 L
If the gas were to be hydrogen, the volume of the gas will decrease even further,
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Block X and Y are attached to each other by a light rope and can slide along a horizontal
surface. Mass of block X is 10 kg and that of block Y is 5 kg. The magnitude of force of friction
on blocks X and Y is 8.0 N and 4.0 N respectively. Find the action-reaction forces that the
blocks exert on each other if an applied force of 40 N [right] acts on block per the illustration
below.
a) The force of X on Y is 7.4 N [right] and the force of Y on X is 4.1 N [left]
Jhry
Ob) The force of X on Y is 12 N [right] and the force of Y on X is 14 N [left]
c) The force of X on Y is 14 N [right] and the force of Y on X is 14 N [left]
O d) The force of X on Y is 22 N [right] and the force of Y on X is 22 N [left]
B. The force of X on Y is is approximately 13 N [right].
Tension in the rope
The action-reaction forces that the blocks exert on each other is calculated as follows;
Net force on the blocks = 40 N - (8 N + 4 N) = 28 N
Total mass of the blocks = 10 kg + 5 kg = 15 kg
Acceleration of the blocksa = F(net)/M
a = 28 N / 15 kg
a = 1.867 m/s²
Considering object X,40 N - 8N - T = 10 x 1.867
T = 13.33 N
Considering object Y,40 N - 4N - T = 5 x 1.867
T = 26.67 N
Thus, the force of X on Y is is approximately 13 N [right].
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Stars that have ejected a planetary nebula go on to become white dwarfs. supernovae. protostars. red giants.
Stars that have ejected a planetary nebula go on to become white
dwarfs.
As we know planetary nebula is a type of glowing shell of ionized gases and there are various stages for the formation of stars. Stars are formed when dispersed matter in gaseous form starts coalescing together under the force of gravity into a compact object. Gravity continuously tries to shrink the object and during this process, the density and temperature inside the star rises.
The fate of the star depends critically on its mass. For stars with mass less than 1.4 solar masses of sun collapse into an extremely dense compact object called "white dwarf". Electron degeneracy pressure is responsible for counterbalancing the inward gravitational force in "white dwarf".
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A cheetah can accelerate from rest to a speed of 28.5 m/s in 4.25 s. What is its acceleration (in m/s2)
Answer:
6.71 meters per second squared
Explanation:
Speed vs velocity
Average acceleration is defined as the rate of change of velocity per unit of time.
Velocity is a vector, a quantity that has both direction and magnitude (size). In this case, the cheetah is not changing directions, so we can ignore vector directions, and treat velocity as just speed.
[tex]a=\dfrac {\Delta v}{\Delta t}[/tex]
Analyzing units
The units of the acceleration requested are meters per second squared, and the units of speed and time are measured in meters per second, and seconds.
The units all match, so we just need to substitute and calculate/simplify
Calculations
[tex]a=\dfrac{(28.5[\frac {m}{s}])}{(4.25[s])}[/tex]
[tex]a=6.70588235294...[\frac {m}{s^2}][/tex]
Accounting for significant figures, the acceleration is 6.71 meters per second squared.
write down the factors that affect weight of a body.
List of things that could affect your body weight:
GeneticsStressAgeDiet (or Lifestyle)HydrationMedicationsMedical ConditionsSleepAnswer:
mass and gravity
Explanation:
From a PHYSICS standpoint:
mass and gravity determine the weight of a body
Which best describes the relationship between energy and entropy in the universe? for entropy to increase, energy must be added. for entropy to decrease, energy must be added. for entropy to remain constant, energy must be added.
Answer:
Entropy is a measure of the order/disorder during the transformation of the state of a system and is defined as the total variation of energy at a defined temperature. From point of view of statistical mechanics, this variation of energy is generated from statistical transitions of the internal states of the system. In this sense, entropy can measure how easy it is to reach a defined state of the system. Now, imagine a text stream that arrives to you character by character in a screen. If the text is meaningless, then every character has the same probability of appearing to you and therefore the entropy is maximal because this disorder is maximal. If you want to transfer information, then you have to spend a little bit of energy in ordering the characters because this does not happen spontaneously. The final state of the system is more ordered in respect to the earlier one, so the entropy is less than the entropy of random text. This means that, if you want to reduce entropy in order to transfer information, then you must spend energy.
Explanation:
Answer: For entropy to decrease, energy must be added. (B)
Explanation: Trust me bbg c;
Who predicted that a comment has a cyclic repeating pattern
Answer:
If u mean a comet, then Edmund Halley should be the person you're looking for.
A car came to a stop from a speed of 16 m/s in a time of 2.3 seconds. What
was the acceleration of the car?
A. -13.7 m/s²
B. -9.80 m/s2
OC. -4.12 m/s²
OD. -6.96 m/s²
The acceleration of the car that came to a stop from a speed of 16 m/s in a time of 2.3 seconds is -6.96m/s² (option D).
How to calculate acceleration?The acceleration of a moving substance can be calculated by dividing the change in velocity of the substance by the time.
Acceleration (a) = ∆V/t
Where;
∆V = change in velocityt = timea = -16m/s ÷ 2.3s
a = -6.96m/s²
Therefore, the acceleration of the car that came to a stop from a speed of 16 m/s in a time of 2.3 seconds is -6.96m/s².
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If you can walk at 3 mph, how far away is school if it takes you 20 minutes?
A. 0.5 miles
B. 1 mile
C. 2 miles
D. 1.5 miles
Answer:
The answer is B, 1 mile
Explanation:
60 (minutes) ÷ 3 (mph) = 20, which means every 20 minutes you are traveling 1 mile
Groups of students are making measurements of small cars rolling across a table. the class has measuring tapes with markings in inches and centimeters. the teacher asks that students make all the measurements in centimeters. why would the teacher make a decision like this?
To find the accurate measurement of small cars, the teacher asks students to make all the measurements in centimeters.
Centimeters Measurements:
A centimeter is a metric unit of measurement used for measuring the length of an object, It is written as cmCentimeter is one hundredth of a meter, 1 meter is 0.01 cm.Inches measurements:
An inch can be defined as a unit of length in the customary system of measurement. Length in inches is either represented by in or ''.1 meter is equal to 39.37 incheshere, the cars are small objects.
The number of centimeters is always bigger,
because a centimeter unit is smaller than an inch unit, and it takes more of them when we are measuring.
Hence,
To find the accurate measurement of small cars, the teacher asks students to make all the measurements in centimeters.
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find the answers of the questions given below
Answer:
i)[tex]0m/s^{2}[/tex]
ii)20m/s
iii)300m
Explanation:
In this Velocity-Time graph,
i) The acceleration can be found by finding the slope of the graph, which in this case, since it is a horizontal line, the slope = 0 therefore the acceleration = [tex]0m/s^{2}[/tex]
ii)The velocity can be found on the y-axis, in this case, is 20m/s.
iii)The distance covered can be found by finding the area of the graph to the corresponding time. In this case,
t=15
Distance covered = 20m/s * 15s
= 300m
Acceleration :
Velocity does not changeHence, [tex]\boxed {a = 0 m/s^{2}}[/tex]Velocity :
According to the graph, the cyclist has a constant velocity of 20 m/s[tex]\fbox {v = 20 m/s}[/tex]Distance :
Use the formula, [tex]\boxed {S = v \times t}[/tex], as velocity is constantS = 20 × 15[tex]\fbox {S = 300 m}[/tex]Someone on Earth would measure the star Vega to be 25 light years away. If you fly a spaceship to Vega at 0.999c, you will measure the distance to be: Group of answer choices
If you fly a spaceship to Vega at 0.999c, you will measure the distance to be much less than 25 light years.
Most space objects use light-years to represent their distance. Light-years are the distance that light travels during the year on Earth. Light-years are about 6 trillion miles (9 trillion km). This is a 6 followed by 12 zeros.
At the same speed, a movement equivalent to one light-year takes about 11.3 billion days. Life expectancy for Americans is currently estimated at 78.74 years, which is equivalent to 28,740 days. Therefore, to get there, you need to live about 400,000 times as long as the average American.
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A 10-kg ring with outer radius 1.5 m and inner radius 1.2 m is placed snuggly around a solid sphere with mass 8.0 kg and radius 1.2 m. The combination rotates about the axis of the cylinder. What is the rotational inertia of the combination
The rotational inertia of the combination is 21.5kg m2
Given that mass of ring = 10kg , outer radius 1.5 m and inner radius 1.2 m
Radius of ring = ½(1.5+1.2) =1.35m
Mass of solid sphere=8kg
Radius of sphere =1.2m
A combination rotational inertia of ring and solid sphere is addiction of rotation inertia of ring and solid sphere
Rotational inertia of ring Ir=MR^2
Rotational inertia of solid sphere Is=2/5MR^2
Combination rotational inertia of ring and solid sphere
I=Ir+Is
=M1R^2+2/5M2R^2
=(10)(1.3^2)+⅖(8)(1.2^2)
=16.9+4.608
=21.5kg m2
Hence the rotational inertia of the combination is 21.5kg/m^2
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Look at the heart shape shown below. Will the centre of mass of this shape be nearer the top or the bottom of the heart?
Answer:
Nearer the top
Explanation:
Since the shape is not symmetrical in all axis, from the shape, there is more matter occupying the top half of the image. Hence the senter of gravity being at the top
A boat floats south on the Amazon River at a speed of 6 m/s south. The boat and passengers have a combined mass of 540 kg.
a. What is the momentum of the boat? (3 points)
b. A passenger drags his hand in the water, applying an impulse of 3200 kg·m/s to the north. What is the new velocity of the boat? (3 points)
A. The momentum of the boat, given the data is 3240 Kg.m/s
B. The new velocity of the boat is 11.93 m/s
What is momentum?Momentum is defined as the product of mass and velocity. It is expressed as
Momentum = mass × velocity
What is impulse?This is defined as the change in momentum of an object.
Impulse = change in momentum
Impulse = final moment – Initial momentum
Imulpse = m(v - u)
How to determine the momentumMass = 540 Kgvelocity = 6 m/sMomentum = ?Momentum = mass × velocity
Momentum = 540 × 6
Momentum = 3240 Kg.m/s
How to determine the new velocityMass = 540 KgInitial velocity = 6 m/sImpulse = 3200 kg·m/sFinal velocity =?Imulpse = m(v - u)
3200 = 540 × (v - 6)
Divide both sides by 540
v - 6 = 3200 / 540
v - 6 = 5.93
Collect like terms
v = 5.93 + 6
v = 11.93 m/s
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11. Amy is in a car that is moving at a speed of 50 kilometers/hour. If she moves a total distance of
230 kilometers, how long was she in the car?
In an automatic AWD vehicle, normally one axle receives all the torque; when slippage occurs, 50 percent of the torque can be sent to the other axle by _____ means.
Option (d) All of these is correct.
In an automatic AWD vehicle, normally one axle receives all the torque; when slippage occurs, 50 percent of the torque can be sent to the other axle by hydraulic, mechanical and electrical means.
AWD vehicle stands for All-wheel drive vehicle.
A vehicle with all-wheel drive (AWD) has a powertrain that can drive all of its wheels, either continuously or as needed.
When we say the torque distribution is 50/50 "in normal conditions," we imply that the moment of force applied to the front and rear wheels is equal when all wheels have the same adhesion.
In an automatic AWD vehicle normally one axle receives all the torque and sent to other axle by hydraulic, mechanical and electrical means.
So that's why when the spillage occurs, 50% of the torque can be sent to the other axle also by hydraulic, mechanical and electrical means.
Hence, Option (d) All of these is correct.
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