[tex]\displaystyle U_s = 0.6 \ J[/tex]
General Formulas and Concepts:Math
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPhysics
Energy
Elastic Potential Energy: [tex]\displaystyle U_s = \frac{1}{2} k \triangle x^2[/tex]
U is energy (in J)k is spring constant (in N/m)Δx is displacement from equilibrium (in m)Explanation:Step 1: Define
k = 7.50 N/m
Δx = 0.40 m
Step 2: Find Potential Energy
Substitute in variables [Elastic Potential Energy]: [tex]\displaystyle U_s = \frac{1}{2} (7.50 \ N/m) (0.40 \ m)^2[/tex]Evaluate exponents: [tex]\displaystyle U_s = \frac{1}{2} (7.50 \ N/m) (0.16 \ m^2)[/tex]Multiply: [tex]\displaystyle U_s = (3.75 \ N/m) (0.16 \ m^2)[/tex]Multiply: [tex]\displaystyle U_s = 0.6 \ J[/tex]se the following graph describing a motorcycle's motion to answer the question below.
A copper wire of length L and cross-sectional area A has resistance R. A second copper wire at the same temperature has a length of 2L and a cross-sectional area of A. What is the resistance of the second copper wire?
A. 2R
B. 4R
C. R
D. 1/2 R
Answer: 4R
Explanation:R=pL/A
R second wire=p2L/1/2A
=4R
A pendulum Bob released from some initial height such that the speed of the bob at the bottom of the swing is 1.9m/s. What is the initial height of the bob?
Answer:
h = 18.4 cm
Explanation:
Given that,
The speed of the bob at the bottom of the swing is 1.9m/s.
We need to find the initial height of the bob. Let it is h.
We can find it using the conservation of energy i.e.
[tex]mgh=\dfrac{1}{2}mv^2[/tex]
Where
v is speed of the bob
So,
[tex]h=\dfrac{v^2}{2g}\\\\h=\dfrac{(1.9)^2}{2\times 9.8}\\\\h= 0.184\ m[/tex]
or
h = 18.4 cm
So, the initial height of the bob is 18.4 cm.
The initial height of bob will be "18.4 cm".
Speed and height:Speed would be the scalar quantity that describes "how quickly an attribute moves." This could sometimes be defined as this same rate whereby an object travels a given distance.
According to the question,
The speed of the bob = 1.9 m/s
Let,
The initial height be "h".
By using the conservation of energy, we get
→ mgh = [tex]\frac{1}{2}[/tex]mv²
or,
→ h = [tex]\frac{v^2}{2g}[/tex]
By substituting the values, we get
= [tex]\frac{(1.9)^2}{2\times 9.8}[/tex]
= 0.184 m or,
= 18.4 cm
Thus the above answer is correct.
Find out more information about speed here:
https://brainly.com/question/13665920
In a close system a gas with constant volume at 20C and pressure
1bar a heat is added to increase its temperature to 120C. Find the
new pressure
I
Answer:
6bar
Explanation:
According to pressure law;
P1/T1 = P2/T2
Given the following;
P1 = 1bar
T1 = 20oC
P2 = ?
T2 = 120oC
Substitute
1/20 = P2/120
20P2 = 120
P2 = 120/20
P2 = 6bar
Hence the new pressure will be 6bar
Which list below contains only ionic compounds?
A. CaCl2, H2O, LIF
B. CO2, K20, P4010
C. LiF, CaCl2, Mgo
D. NO2, Mgo, CuCl2
Answer:
C. LiF, CaCl2, MgO
Explanation:
Ionic compound: It is that compound which consist of negative and position ions and held together by electrostatic force of attraction.
The ionic compound is neutral.
The ionic compound formed between metal and non-metal.
Covalent compound: It is that compound in which sharing of electrons between two atoms occur.
A.[tex]CaCl_2,H_2O,LiF[/tex]
H2O is not ionic compound. It is polar covalent.
Therefore, it does not contain only ionic compounds.
B.CO2,K2O,P4O10
CO2 and P4O10 are not ionic .It is covalent.
Therefore, it does not contain only ionic compounds.
C. LiF,CaCl2 ,MgO
All compounds are ionic because in given compounds one ion is negative and one is metal (positive).
Therefore, it contains only ionic compounds.
D.NO2,MgO,CuCl2
NO2 is not ionic.
Therefore, it does not contain only ionic compounds.
Option C is correct.
A force of 350 N is applied to an object that accelerated at a rate of 5 m/sec2. What is the mass of the object
Answer:
7/ m5sec per minute ckvhxrsuvj
how you use physics in your
everyday life.
Answer:
Explanation:
Physics gets involved in your daily life right from you wake up in the morning. The buzzing sound of an alarm clock helps you wake up in the morning as per your schedule. The sound is something that you can't see, but hear or experience. Physics studies the origin, propagation, and properties of sound
(PLEASE) You go sledding down a hill and are traveling toward the east. At 0s, your velocity is 0m/s. At 5s, your velocity is 30m/s. Calculate your acceleration.
Answer:
your acceleration is 6 m/s²
Explanation:
Given;
initial velocity, u = 0
initial time, t₀ = 0
final velocity, v = 30 m/s
final time, t = 5 s
The acceleration of is calculated as follows;
[tex]a = \frac{v-u}{t_1-t_0} \\\\a = \frac{30-0}{5-0} \\\\a =\frac{30}{5} \\\\a = 6 \ m/s^2[/tex]
Therefore, your acceleration is 6 m/s²
proof that the kinetic energy of a moving body is half mv square
Answer:
1
Explanation:
whk is thefounder of pakistan?
Answer:
Muhammad Ali Jinnah (Urdu: محمد علی جناح; born Mahomedali Jinnahbhai; 25 December 1876 – 11 September 1948) was a barrister, politician and the founder of Pakistan.
if a=8i+j-2k and b=5i-3j+k what is the value of b X a
Distribute the product:
a×b = (8i + j - 2k) × (5i - 3j + k)
a×b = 8i × (5i - 3j + k) + j × (5i - 3j + k) - 2k × (5i - 3j + k)
a×b = (40 (i×i) - 24 (i×j) + 8 (i×k))
… … … + (5 (j×i) - 3 (j×j) + k×j)
… … … + (-10 (k×i) + 6 (k×j) - 2 (k×k))
Recall the definition of the cross product:
i×i = j×j = k×k = 0 (the zero vector)
i×j = k
j×k = i
k×i = j
and for any two vectors x and y, we have x×y = -(y×x).
So we have some cancellation and rewriting:
a×b = (40 (i×i) - 24 (i×j) + 8 (i×k))
… … … + (5 (j×i) - 3 (j×j) + j×k)
… … … + (-10 (k×i) + 6 (k×j) - 2 (k×k))
a×b = (-24k - 8j) + (-5k + i) + (-10j - 6i)
a×b = -5i - 18j - 29k
Then
b×a = -(a×b) = 5i + 18j + 29k
3) What is the weight of an object with a mass of 5.2 kilograms?
Answer:
50.96 N
Explanation:
weight = mass x gravity
We know that gravity = 9.8 m/s^2 and mass = 5.2 kg.
w = m x g
w = 5.2 kg x 9.8 m/s^2
w = 50.96 N
The weight of the object is 50.96 N (newtons). Hope this helps, thank you !!
Universal Gravitation Problem Set
Highlight Given information in GREEN. Highlight what you are solving for in YELLOW.
Formula: Fg= G*M,*M,/d? G= 6.67 * 10-11 N*M°/Kg?
The distance between Earth and its moon is 3.84 x 10 meters. Earth's mass is
m = 5.98 x 1024 kilograms and the mass of the moon is 7.36 x 1022 kilograms.
What is the force between Earth and the moon?
Answer:
The force between Earth and the moon is 1.99x10²⁶ N.
Explanation:
The force between Earth and the moon can be found using the Gravitational Force equation:
[tex] F_{g} = \frac{Gm_{E}m_{m}}{d^{2}} [/tex]
Where:
d: is the distance between Earth and the moon = 3.84x10⁵ m
G: is the gravitational constant = 6.67x10⁻¹¹ Nm²/kg²
[tex]m_{E}[/tex]: is the Earth's mass = 5.98x10²⁴ kg
[tex]m_{m}[/tex]: is the moon's mass = 7.36x10²² kg
Hence, the force is:
[tex] F_{g} = \frac{Gm_{E}m_{m}}{d^{2}} = \frac{6.67 \cdot 10^{-11} Nm^{2}/kg^{2}*5.98\cdot 10^{24} kg*7.36\cdot 10^{22} kg}{(3.84\cdot 10^{5} m)^{2}} = 1.99 \cdot 10^{26} N [/tex]
Therefore, the force between Earth and the moon is 1.99x10²⁶ N.
I hope it helps you!
You are hiking pine mountain and have finally reached the top. You are peering over the edge and accidentally drop your phone while taking pictures. Your phone falls and hit the
ground 13 seconds later. How tall is the mountain?
Answer:
The cliff is 12.71m tall.
Explanation:
Why?
Before solving the problem, we must remember that the phone was dropped, it means that there is no initial velocity, also, the acceleration acting on the phone is the acceleration due to gravity.
So, to find how tall is the cliff, we can use the following equations:
\begin{gathered}y=y_o+v_o*t-\frac{1}{2}g*t^{2}\\\\v_f=v_o+g*t\end{gathered}y=yo+vo∗t−21g∗t2vf=vo+g∗t
\begin{gathered}t=\frac{v_f}{g} \\\\t=\frac{-15.75\frac{m}{s}}{-9.81\frac{m}{s^{2}}}=1.61s\end{gathered}t=gvft=−9.81s2m−15.75sm=1.61s
Now that we know the time, we can calculate how tall is the cliff:
\begin{gathered}y=y_o+v_o*t+\frac{1}{2}g*t^{2}\\\\y=0+0*1.61s-\frac{1}{2}*(-9.81\frac{m}{s^{2}})*(1.61s)^{2}\\\\y=12.71m\end{gathered}y=yo+vo∗t+21g∗t2y=0+0∗1.61s−21∗(−9.81s2m)∗(1.61s)2y=12.71m
1When you look through a magnifying glass, the objects you are looking at
seem larger and you can see them in morsetail. The lenses in a magnifying
glass are
convex lenses.
eyeglasses with convex lenses increase refraction, and accordingly reduce the focal lenght
An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First he tries to throw a rope to his fellow astronaut, but the rope is too short. In a last ditch effort, the astronaut throws his bag of tools in the direction of his motion, away from the space station. The astronaut has a mass of ma=102 kgma=102 kg and the bag of tools has a mass of mb=10.0 kg.mb=10.0 kg. If the astronaut is moving away from the space station at vi=2.10 m/svi=2.10 m/s initially, what is the minimum final speed vb,fvb,f of the bag of tools with respect to the space station that will keep the astronaut from drifting away forever?
Answer:
The answer is "[tex]2.352 \ \frac{m}{s}[/tex]"
Explanation:
[tex]\to mass(m_1)=102 \ kg\\\\\to mass(m_2)=10 \ kg \\\\\to v=2.10\ \frac{m}{s}\\\\[/tex]
momentum before:
[tex]\to p=(m_1+m_2)v[/tex]
[tex]=(102+10)2.10\\\\=(102\times 2.10 +10 \times 2.10)\\\\=214.2+21\\\\=235.2[/tex]
momentum After:
[tex]\to p=(m_1+m_2)v[/tex]
[tex]=(102\times 0 +10 \times v)\\\\ =(0 +10v)\\\\=10v\\[/tex]
Calculating the conservation of momentum:
[tex]\to \text{momentum before = momentum After}[/tex]
[tex]\to 235.2=10v\\\\\to v= \frac{235.2}{10}\\\\ \to v=2.352 \ \frac{m}{s}[/tex]
g In principle, both the motion of a simple pendulum and the motion of a mass on a horizontal ideal spring can be used to measure time (via their periods of oscillation). But one of these two types of clocks loses it's accuracy (must be re-calibrated) when taken to high altitudes. Which type of clock is this, and why? Explain in detail please.
Answer:
In a system with a hanging mass and an inextensible wire, the force is proportional to the sino, in the case of small oscillations, approximately the stop angle, this hiss is lost, the calibration for large amplitudes is lost.
Explanation:
In a spring-mass system the restoring force created by the spring is proportional to displacement from the equilibrium position, therefore this watch does not require streamlining as the amplitude of movement increases.
In a system with a hanging mass and an inextensible wire, the force is proportional to the sino, in the case of small oscillations, approximately the stop angle, this hiss is lost, the calibration for large amplitudes is lost.
I need help with this, I can't figure it out.
Here is the link:
https://platform.breakoutedu.com/game/play/fun-in-the-sun-140559-XMWCQF1LPL
Answer:
Star, Triangle, Circle, Rhombus, Square.Left, Down, Right, Down, Up.2,3,2,4.L,O,O,K,I,N,G,F,L,Y.Explanation: You're welcome ✓
The angle between A = (-25 m)i +(45 m), and the positive e axis is
Answer:
[tex]\theta=119.06^{\circ}[/tex]
Explanation:
The vector is :
A = -25i+45j
We need to find the angle between angle A and the positive x-axis. It can be calculated as follows :
[tex]\theta=180^{\circ}-\tan^{-1} (\dfrac{45}{25})\\\\=180-60.94\\\\=119.06^{\circ}[/tex]
So, the angle of vector A with the +x axis is [tex]119.06^{\circ}[/tex].
when the body said to be in equilibrium
Answer:
Oh! I just learned abt this
Explanation:
the body is said to be in equilibrium if it is resting or moving with uniform velocity.
Answer: The body is said to be in balance if it is at rest or moving at a uniform speed. In other words, if the body's linear and angular acceleration is zero, the body is said to be in balance. 1
The magnetic circuit below is excited by a 100-turn coil wound over the central leg. The mean length of the central leg is 5.5cm; the mean length of outer paths (including the part of the iron bar at the bottom) is 15.5cm. The relative permeability of the magnetic material is 2000. The cross-sectional area of all legs is A
Answer:
Hello your question is incomplete attached below is the complete question and solution
answer;
attached below
Explanation:
Given data:
100-turn coil
mean length of central leg = 5.5 cm
mean length of outer paths = 15.5 cm
relative permeability = 2000
cross sectional area ( A ) = 1 cm^2
distance x = 1 cm
attached below is a detailed solution
A positively charged particle of mass 7.2 x 10-8 kg is traveling due east with a speed of 88 m/s and enters a 0.6-T uniform magnetic field. The particle moves through one-quarter of a circle in a time of 2.2 x 10-3 s, at which time it leaves the field heading due south. All during the motion the particle moves perpendicular to the magnetic field. Determine the magnitude of its charge in mC. (1 mC
Answer:
q = 8.57 10⁻⁵ mC
Explanation:
For this exercise let's use Newton's second law
F = ma
where force is magnetic force
F = q v x B
the bold are vectors, if we write the module of this expression we have
F = qv B sin θ
as the particle moves perpendicular to the field, the angle is θ= 90º
F = q vB
the acceleration of the particle is centripetal
a = v² / r
we substitute
qvB = m v² / r
qBr = m v
q =[tex]\frac{m\ v}{B\ r}[/tex]
The exercise indicates the time it takes in the route that is carried out with constant speed, therefore we can use
v = d / t
the distance is ¼ of the circle,
d = [tex]\frac{1}{4} \ 2\pi r[/tex]
d =[tex]\frac{\pi }{2r}[/tex]
we substitute
v = [tex]\frac{\pi r}{2t}[/tex]
r = [tex]\frac{2 \ t \ v}{\pi }[/tex]
let's calculate
r =[tex]\frac{2 \ 2.2 \ 10^{-3} \ 88}{\pi }[/tex] 2 2.2 10-3 88 /πpi
r = 123.25 m
let's substitute the values
q = [tex]\frac{ 7.2 \ 10^{-8} \ 88}{ 0.6 \ 123.25}[/tex]7.2 10-8 88 / 0.6 123.25
q = 8.57 10⁻⁸ C
Let's reduce to mC
q = 8.57 10⁻⁸ C (10³ mC / 1C)
q = 8.57 10⁻⁵ mC
6th grade science I mark as brainliest (can someone answer my other question like this?)
Answer:A: July
B: July and august
C:true
Explanation:
ELE Review questions
POSSIBLE POINTS: 3
Match the energy transformation sequence with the device it describes:
A hair dryer plugged into the wall
a
A hand crank generator emergency radio
A battery operated fan
11 CE to ELE
+ ELE to KE
:: KE to ELE
h
1
2
A Review
Answer:
1. ELE to KE = Electrical energy conversion to kinetic energy.
2. KE to ELE = kinetic energy conversion to electrical energy.
3. CE to ELE = chemical energy conversion to electrical energy.
Explanation:
The Law of Conservation of Energy states that energy cannot be destroyed but can only be transformed or converted from one form to another.
Some examples of energy are chemical energy, electrical energy, kinetic energy, sound energy, potential energy, light energy, etc.
The transformation of energy from one form to another are described below;
1. A hair dryer plugged into the wall: it involves the conversion of electrical energy to kinetic energy. The energy type present in the wall socket is electrical energy which powers the hair dryer to have kinetic energy i.e the energy possessed due to motion of hair dryer.
2. A hand crank generator emergency radio: it illustrates the conversion of kinetic energy to electrical energy. The hand crank generator possess kinetic energy as it is being wounded before it is then converted into electrical energy which powers the radio.
3. A battery operated fan: it illustrates the conversion of chemical energy to electrical energy. The cells present in battery possess chemical energy that is being converted into electrical energy to power the fan.
PLZ SOLVE ALL 10
1. What are the six nutrients? Which nutrients provide energy?
2. What percentage of your diet should come from carbohydrates? From protein?
3. What is the primary role of carbohydrates in the body? What are the two major types of carbohydrates?
4. Where does Fiber come from? How much should you consume per day?
5. What is the primary function of protein in the body?
6. What is the primary role of fat in the body?
7. What are the major types of fat? What types of fat are most dangerous to your health?
8. What are vitamins, and why are they important?
9. What are minerals, and why are they important?
10. How much of the human body is made of water? How much fluid should an average person drink each day?
1) Carbohydrates, Lipids (fats), Protein, Vitamins, Minerals, and Water. proteins, fats and carbs provide energy.
2) 45 to 65 percent carbs, and 10-35 percent protein.
3) Carbs are your body's main source of energy. the 2 major types are simple and complex carbs
4) cereals, fruits and vegetables. You should have 25 to 30 grams a day.
5) It helps repair and build your body's tissues, allows metabolic reactions to take place and coordinates bodily functions.
6) It gives you energy and supports cell growth.
7) Saturated fats, Trans fats, Monounsaturated fats, and Polyunsaturated fats. trans fats are the most dangerous for your health
8) Vitamins and minerals are considered essential nutrients, They help shore up bones, heal wounds, and bolster your immune system. They can also help convert food into energy.
9) Minerals help build strong bones to transmitting nerve impulses. Some minerals are even used to make hormones or maintain a normal heartbeat.
10) 60% is made of water, 11 to 15 cups of water should be drank a day.
hope this helps :)
It is winter. You are very cold. Your body systems cooperate and respond to the cold in three ways in an effort to keep you warm. Choose the answer that is NOT correct.
Your nervous system slows down and the impulses that move your muscles also slows, helping to retain heat.
The body will try to generate heat itself by allowing muscles and organs to shake within the body: this is known as shivering.
Blood flow is diverted from muscle tissue to fat. The rapid decomposition fat (adipose) tissue generates heat energy that helps to raise the body's temperature.
Cold causes blood vessels to constrict and blood flow resistance to increase. Reducing blood flow to the skin and the extremities reduces heat transferred to the environment.
Answer:
The third option
Explanation:
A and B are true because this can be noticed by just any human. So then you are left with C and D. With these two, D makes more sense. Since when someone gets cold, their blood flow is reduced starting in areas like your fingers, hands, toes and feet. These areas get the coldest since they are the smallest and furthest away from the rest of your body. Also since these areas touch surfaces more than other areas, they will have less heat to transfer.
Blood flow is diverted from muscle tissue to fat. The rapid decomposition fat (adipose) tissue generates heat energy that helps to raise the body's temperature. - This answer is NOT correct.
What is nervous system?nervous system is a network of organized cells with the specific purpose of carrying electrochemical inputs from sensory receptors to the location where a response takes place.
Every living thing has the capacity to recognize changes in both its own surroundings and outside it. Changes in the internal environment include those in the position of the head and limbs as well as those in the internal organs, whereas changes in the exterior environment include those in light, temperature, sound, motion, and odor
.
Two different kinds of systems, physiologic and behavioral, control body temperature.
Learn more about nervous system here:
https://brainly.com/question/29355295
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Which factors affect the gravitational force between two objects?
-
distance and velocity
O mass and distance
O mass and weight
acceleration and weight
TELE
Answer:
mass and distance
Explanation:
mass, and distance. The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them.
Use the graph one more time to help you with this question. Changes in both the North and South occurred due to the .
Answer:
industrial revolution
Explanation:
Suppose you have a cylinder filled with diatomic oxygen (O2) and it is running low. The cylinder is shown above, is made of steel, and has a fixed volume of 10 L.
You are asked to determine the number of O2 molecules that are left in the cylinder, so you take a measurement of the temperature to be 20℃. You then note that the pressure gauge reads 100 psi, which you checked at sea level in Bellingham, where the local pressure is one atm (14.7 psi). Calculate the number of O2 molecules left in the container.
Answer:
The number of O₂ molecules that are left in the cylinder is 1.70x10²⁴.
Explanation:
The number of oxygen molecules can be found using the Ideal Gas law:
[tex] PV = nRT [/tex]
Where:
P: is the pressure = 100 psi
V: is the volume = 10 L
n: is the number of moles =?
T: is the temperature = 20 °C = 293 K
R: is the gas constant = 0.082 L*atm/(K*mol)
Hence, the number of moles is:
[tex]n = \frac{PV}{RT} = \frac{100 psi*\frac{1 atm}{14.7 psi}*10 L}{0.082 L*atm/(K*mol)*293 K} = 2.83 moles[/tex]
Now, the number of molecules can be found with Avogadro's number:
[tex]n_{m} = \frac{6.022 \cdot 10^{23}\: molecules}{1\: mol}*2.83 moles = 1.70 \cdot 10^{24} \: molecules[/tex]
Therefore, the number of O₂ molecules that are left in the cylinder is 1.70x10²⁴.
I hope it helps you!
James makes a treasure map to locate a secret item on McEachern Campus. He uses the
following displacement vectors to locate the treasure
A student wants to simplify this information
5 m East
7 m North
5 m South
7 m East
3 m South
2 m West
A. Determine the Displacement Vector Components. (x componenty component)
Show all work. 2 pts
B. Use the Pythagorean Theorem to calculate the resultant vector. Show all work. 2 pts
Answer format:
a. work & answer...
b. work and answer...
(4 Points)
Answer:
south
Explanation: