Answer:
The velocity is 7.82 m/sExplanation:
In this problem, we are going to solve for the velocity since what we are given as parameters are:
1. Distance covered s= 61m
2. time taken to cover the distance t= 7.8 secs
we know that the expression for velocity is given as
velocity= distance/time
We then substitute the given data into the formula to solve for velocity.
velocity= 61/7.8
velocity= 7.82 m/s
The velocity is 7.82 m/sWhat are the steps to the scientific method
Answer:
question, report, observe, research, draw conclusions, hypothesize, test hypothesis, experiment
Explanation:
If vector A has components Ax and Ay and makes an angle θ with the +x axis, thena. Ax +Ay (where A is magnitude of A)b. θ= Ay/Axc. Cosθ= Ax/ √ (Ax^2+ Ay^2)d. Tanθ= Ax/Ay
Answer:
c. Cos θ = [tex]A_{x}[/tex] / [tex]\sqrt{(A_{x} ^{2} + A_{y} ^{2}) }[/tex]
Explanation:
A vector is any quantity that has both magnitude and direction. The given vector A has components [tex]A_{x}[/tex] and [tex]A_{y}[/tex], and makes angle θ with +x axis.
Thus;
Resultant of the vector, A = [tex]\sqrt{(A_{x} ^{2} + A_{y} ^{2}) }[/tex]
Therefore, the components, angle and resultant of vector A can be represented in magnitude and direction by the three sides of a right angled triangle.
Applying the appropriate trigonometric function to the triangle for vector A, we have;
Cos θ = [tex]A_{x}[/tex] ÷ [tex]\sqrt{(A_{x} ^{2} + A_{y} ^{2}) }[/tex]
⇒ Cos θ = [tex]A_{x}[/tex] / [tex]\sqrt{(A_{x} ^{2} + A_{y} ^{2}) }[/tex]
The correct option is C.
What is the source of gravity at the heart of many galaxies?
a. dark matter
b. fusion
c. black holes
d. neutrinos
You are walking down a straight path in a park and notice there is another person walking some distance ahead of you. The distance between the two of you remains the same, so you deduce that you are walking at the same speed of 1.25 m/s. Suddenly, you notice a wallet on the ground. You pick it up and realize it belongs to the person in front of you. To catch up, you start running at a speed of 2.75 m/s. It takes you 12.5 s to catch up and deliver the lost wallet. How far ahead of you was this person when you started running
Answer:
18.8m
Explanation:
This implies calculating the relative speed first then find the distance d
So
relative speed = 2.75- 1.25 = 1.5 m/s
So assume the distance between them to be say d
so, d/1.5= 12.5
d = 18.8m
Rank the below combinations of electric charges on the basis of the electric force acting on q1. Define forces pointing to the right as positive and forces pointing to the left as negative.1.a. q1= +1nCb. q2= -1nCc, q3= -1nC2.a. q1= -1nCb. q2= +1nCc, q3= +1nC3. a. q1= +1nCb. q2= +1nCc, q3= +1nC4. a. q1= +1nCb. q2= +1nCc, q3= -1nC5. a. q1= -1nCb. q2= -1nCc, q3= -1nC6. a. q1= +1nCb. q2= -1nCc, q3= +1nC
Answer:
Explanation:
The electric charges are placed on a line .
1 a ) q1= +1 nC q2= -1 nC q3= -1 nC
here q₁ will be attracted by both q₂ and q₃ so net force on q₁ will be positive
2 a ) q1= -1 nC q2= +1 nC q3= + 1 nC
here q₁ will be attracted by both q₂ and q₃ so net force on q₁ will be positive
3 a ) q1= +1 nC q2= +1 nC q3= + 1 nC
here q₁ will be repelled by both q₂ and q₃ so net force on q₁ will be negative.
4 a ) q1= +1 nC q2= +1 nC q3= - 1 nC
q2 will repel and q3 will attract so net force will be towards left but it will be weakened .
5 a ) q1= -1 nC q2= -1 nC q3= - 1 nC
Both q₁ and q₂ will repel so net force will be towards left and negative .
6 a ) q1= +1 nC q2= -1 nC q3= + 1 nC
q2 will attract and q3 will repel so net force will be towards right but it will be weakened . It will be positive .
Largest positive force to lowest positive force
2 a ) = 1 a ) > 6 a )
Largest negative force to lowest positive force
5a )= 3 a ) > 4a )
missile is fired from ground level with an initial velocity of v(0) = 1000, 1400, 368 measured in ft/sec, with the engine shutting off just after launch. If the only external force acting on the missile is the gravitational force, find the trajectory of the missile. (Use g = 32 ft/sec2. Your instructors prefer angle bracket notation < > for vectors.)
Answer:
the trajectory for the missile [tex]\mathbf{r(t) = \langle1000t,1400t, 368t -16t^2 \rangle}[/tex]
the downrange of the missile R = 39570.6973 ft
Explanation:
Suppose the initial velocity v(0) = <1000, 1400, 368 > ft/sec
The single force which is acting over the missle is the gravitational force.
a (t) = <0, 0, -32> ft/sec²
We are to determine the trajectory and the downrange for the missle
Consider the motion of a given object r(t) to be:
[tex]r(t) = v_it + \dfrac{1}{2}at^2[/tex]
[tex]r(t) = \langle1000,1400,368 \rangle t + \dfrac{1}{2} \langle 0,0, -32\rangle t^2[/tex]
[tex]r(t) = \langle1000t,1400t,368t \rangle + \langle 0,0, -16 t^2 \rangle[/tex]
[tex]r(t) = \langle1000t,1400t, 368t -16t^2 \rangle[/tex]
Thus, the trajectory for the missile [tex]\mathbf{r(t) = \langle1000t,1400t, 368t -16t^2 \rangle}[/tex]
To determine the downrange of the missile,
[tex]v(0) = \langle 1000,1400,368 \rangle[/tex]
where;
the horizontal vel. of the missle [tex]v_h= \sqrt{1000^2+1400^2}[/tex]
= 1720.4651 ft/s
the vertical vel. of the missile is [tex]v_v = 368 \ ft/s[/tex]
The time required to reach the ground [tex]t =\dfrac{2 \times v_v}{g}[/tex]
[tex]t =\dfrac{2 \times 368}{32}[/tex]
t = 23 sec
Finally, the downrange of the missile [tex]R = v_h \times t[/tex]
R = 1720.4651 × 23
R = 39570.6973 ft
The trajectory of the missile as a function of time is obtained as
[tex]r(t)= <100t, 1400t, 368t-16t^2>[/tex].
Projectile MotionGiven that the initial velocity is;
[tex]v(0) = <1000, 1400, 368>\,ft/sec[/tex]
The acceleration of the missile is provided by the gravitational force.
[tex]a = g = <0, 0, -32>\,ft/sec^2[/tex]
The trajectory of the object at time 't' is given by;
[tex]r(t)=v(0)\,t+\frac{1}{2} at^2= <100, 1400, 368>t\,+\frac{1}{2} <0, 0, -32>t^2[/tex]
[tex]\implies r(t)= <100t, 1400t, 368t-16t^2>[/tex]
Learn more about projectile motion here:
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a plane being propelled due east is actually moving at 225mph an angle of 40 degrees north of east, how fast is the crosswind that is blowing due north (relative the ground?
Answer:
144.63 mph
Explanation:
225 sin (40)
A 14 g sample of neon gas has 1200 J of thermal energy. Estimate the average speed of a neon atom.
Answer:
The average speed of a neon atom is 414.04 m/s
Explanation:
Given;
energy of the neon gas, E = 1200 J
mass of the neon gas, m = 14 g = 0.014 kg
The speed of the neon atom is given by Maxwell-Boltzmann;
E = ¹/₂mv²
where;
v is the average speed of the neon atom
1200 = ¹/₂(0.014)v²
2 x 1200 = 0.014v²
2400 = 0.014v²
v² = 2400 / 0.014
v² = 171428.57
v = √ 171428.57
v = 414.04 m/s
Therefore, the average speed of a neon atom is 414.04 m/s
The average speed of a neon atom will be 414.04 m/s.
What is the average speed?The total distance traveled by an object divided by the total time taken is the average speed.
The average speed of an object indicates the pace at which it will traverse a distance. The metric unit of speed is the meter per second.
The given data in the problem is;
E is the energy of the neon gas, = 1200 J
m is the mass of the neon gas= 14 g = 0.014 kg
v is the speed of the neon atom=?
From the Maxwell-Boltzmann equation;
[tex]\rm E= \frac{1}{2} mv^2 \\\\ v=\sqrt{\frac{2E}{m} } \\\\ v=\sqrt{\frac{2 \times 1200 }{0.014} } \\\\ v= 414.04 \ m/s[/tex]
Hence the average speed of a neon atom will be 414.04 m/s.
To learn more about the average speed refer to the link;
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4. True or false. When measuring a liquid ingredient, the measuring cup should be held up so the mark on
the cup for the desired amount is at eye level.
Foods class
5 problem associated with PopulationCensus
Answer:
1. High Illiteracy Rate in a Nation has a Negative Impact on the Conducting of Census
2.Corruption Interferes with Census
3.Traditional and Religious Beliefs can Interfere with the Census Exercise
4.insufficient and Ineffective Census Educational Campaign
5.Insufficient Census Experts
Explanation:
PLEASE HELP!! Solve for Y 12=2xY
Answer:
The answer is 6, because 2×y is equal to 12.
What is the nucleon A number of carbon-14?Express your answer as aninteger.
Answer:
14
Explanation:
The total no of protons and neutrons in an atomic nucleus is called mass number, nucleon number or atomic mass number. It is denoted by A.
In this problem, we need to find the nucleon number of carbon-14 i.e. mass number of carbon -14. 14 with carbon shows its mass number.
Hence, the nucleon no of carbon-14 is 14.
Question 9 of 10
How does Newton's third law explain how a rocket is launched upward?
A. The force of Earth's gravity balances with the force of the rocket
engines.
B. The rocket will remain motionless on the launchpad until an
unbalanced force is applied.
C. The mass of the rocket determines how much force is needed to
move it into orbit.
OD. The force it exerts on its exhaust gases is equal to the force the
exhaust gases exert on the rocket.
Answer: C “The force it exerts on its exhaust gases is equal to the force the exhaust gases exert on the rocket.”
Within a piston-cylinder assembly, 2.5 kg air executes Carnot power cycle. During the process of isothermal expansion, heat transfer to air is 50 kJ. Volume is 0.45 m3 at the end of isothermal expansion process. This Carnot power cycle operates within a temperature range of 250 K to 700 K. Assuming an ideal gas model, (a) Determine the pressure (kPa) and volume (m3 ) at the beginning of isothermal expansion. (b) Calculate the thermal efficiency. (c) Calculate the heat transfer (kJ) and work (kJ) for all four processes. (d) Sketch the cycle on p-v coordinates.Within a piston-cylinder assembly, 2.5 kg air executes Carnot power cycle. During the process of isothermal expansion, heat transfer to air is 50 kJ. Volume is 0.45 m3 at the end of isothermal expansion process. This Carnot power cycle operates within a temperature range of 250 K to 700 K. Assuming an ideal gas model, (a) Determine the pressure (kPa) and volume (m3 ) at the beginning of isothermal expansion. (b) Calculate the thermal efficiency. (c) Calculate the heat transfer (kJ) and work (kJ) for all four processes. (d) Sketch the cycle on p-v coordinates.
Answer:
a) 1225 kPa, 0.41 m³
b) 0.643
c) -17.86 kJ, 50 kJ, 854 kJ, -854 kJ
Explanation:
See attachment
To model a spacecraft, a toy rocket engine is securely fastened to a large puck, which can glide with negligible friction over a horizontal surface, taken as the xy plane. The 8.00 kg puck has a velocity of 10.0 i hat m/s at one instant. Eight seconds later, its velocity is to be (10.0 i hat 12.0 j) m/s. (a) Assuming the rocket engine exerts a constant total horizontal force, find the components of the force. ( i hat j ) N (b) Find its magnitude. N
Explanation:
Given that,
Mass of a puck, m = 8 kg
Initial velocity, u = 10i m/s
Final velocity, v = (10i+12j) m/s
Time, t = 8 s
(a) Force acting on an object is given by the product of mass and acceleration.
F = ma
a is acceleration
[tex]F=\dfrac{m(v-u)}{t}\\\\F=\dfrac{8\times (10i+12j-10i)}{8}\\\\F=12j\ \text{N}[/tex]
(b) The magnitude of force is given by :
[tex]F=\sqrt{12^2+0^2} \\\\F=12\ N[/tex]
Hence, the component of force is 12j N and its magnitude is 12 N.
Which property of metals allows aluminum to be flattened into thin sheets of aluminum foil? shininess malleability brittleness hardness
Malleability
Knowledge Enhancer★ Malleability: The property which allows the metal to be hammered into thin sheets is called malleability.
★ Brittleness: The property due to which non-metals break down on hammering is called brittleness .
★ Ductility: The property which allows the metal to be drawn into wires is called dutility.
Answer:
The answer to this question is malleability.
How long is a bus route across a small town
Answer:
4 kilometers
Explanation:
Point charges q1=− 4.40 nC and q2=+ 4.40 nC are separated by distance 3.10 mm , forming an electric dipole. The charges are in a uniform electric field whose direction makes an angle of 36.4° with the line connecting the charges. What is the magnitude of this field if the torque exerted on the dipole has magnitude 8.00×10^−9 N⋅m ?
Answer:
988.39 N/C
Explanation:
First, we start by finding the magnitude of the electric dipole moment, as it's going to be needed
p = 4.40*10^-9 * 3.10*10^-3
p = 1.364*10^-11 Cm
The charges are in a uniform electric field E whose direction makes an angle of 36.4° with the line connecting the charges.
Magnitude of torque exerted on the dipole,
t = 8.0×10−9 N.m
pEsinO = t, making E subject of formula
E = t / psinO
E = 8.0*10^-9/1.364*10^-11 (sin36.4)
E = 8.0*10^-9/1.364*10^-11 * (0.5934)
E = 8.0*10^-9 / 8.094*10^-12
E = 988.39 N/C
the magnitude of this field is E = 988.39 N/C
Which answer best explains why a physicist would study the heat given off by the Sun? O O A. Heat is a form of energy. B. The Sun is an interesting shape. OPlant cells need heat from the Sun. OPhysics is the study of astronomy.
Can someone help me please
Answer:
A. Heat is a form of energy.
Explanation:
The Sun emits heat, which is a form of energy. This heat energy is supplied to the Earth by the sun, when the solar energy is converted to heat energy. The study of heat energy and its conversion from one form to another is a branch of physics called THERMODYNAMICS.
Hence, a physicists will be interested in studying the heat given off by the sun because it is one of the several forms of energy.
Answer:
A. Heat is a form of energy.
Explanation:
How fast is the flash? Your final answer should be in m/s and you should cite your reference.
Answer: as fast as lightning
300,000,000 meters per second
Lightning is the flash of light that occurs when charge separation occurs. Like other forms of light, the light emitted from the lightning travels near the speed of light.
how does thermal energy impact enthalpy
Answer:
The concentrations of the reactants and the products. The temperature of the system. The partial pressures of the gases involved (if any)
Explanation:
An object thrown in the air has a velocity after t seconds that can be described by v(t) = -9.8t + 24 (in meters/second) and a height h(t) = -4.9t 2 + 24t + 60 (in meters). The object has mass m = 2 kilograms. The kinetic energy of the object is given by K = __1 2mv2 , and the potential energy is given by U = 9.8mh. Find an expression for the total kinetic and potential energy K + U as a function of time. What does this expression tell you about the energy of the falling object?
Answer and Explanation: Kinetic energy is related to movement: it is the energy an object possesses during the movement. it is calculated as:
[tex]K=\frac{1}{2}mv^{2}[/tex]
For the object thrown in the air:
[tex]K=\frac{1}{2}.2.[v(t)]^{2}[/tex]
[tex]K=(-9.8t+24)^{2}[/tex]
[tex]K=96.04t^{2}-470.4t+576[/tex]
Kinetic energy of the object as a function of time: [tex]K=96.04t^{2}-470.4t+576[/tex]
Potential energy is the energy an object possesses due to its position in relation to other objects. It is calculated as:
[tex]U=mgh[/tex]
For the object thrown in the air:
[tex]U=9.8.2.h(t)[/tex]
[tex]U=9.8.2.(-4.9t^{2}+24t+60)[/tex]
[tex]U=-96.04t^{2}+470.4t+1176[/tex]
Potential energy as function of time: [tex]U=-96.04t^{2}+470.4t+1176[/tex]
Total kinetic and potential energy, also known as mechanical energy is
TME = [tex]96.04t^{2}-470.4t+576[/tex] + ([tex]-96.04t^{2}+470.4t+1176[/tex])
TME = 1752
The expression shows that total energy of an object thrown in the air is constant and independent of time.
wire which have protective covers on them are called
The protective covers on wires are called insulation and they are typically made out of plastic or rubber. The purpose for this insulation is so the wire doesn't come in contact with other conductors. It also protects it from having electrical leaks or threats to the environment.
Best of Luck!
You must exert a force of 5N on a book to slide it across a table.If you do 2.5 J of work in the process, how far has the book moved?
Answer:
0.5 m.
Explanation:
From the question given above, the following data were obtained:
Force (F) = 5 N
Work done (W) = 2.5 J
Distance (s) =?
Workdone is simply defined as the product of force (F) and distance (s) moved in the direction of the force. Mathematically, it is expressed as:
Work done (W) = Force (F) × Distance (s)
W = F × s
With the above formula, we can obtain the distance to which the book has moved as follow:
Force (F) = 5 N
Work done (W) = 2.5 J
Distance (s) =?
W = F × s
2.5 = 5 × s
Divide both side by 5
s = 2.5/5
s = 0.5 m
Therefore, the book moved 0.5 m when the force was applied.
In the development of the standard atmospheric model, the variation of the acceleration of gravity with altitude is ignored; that is, the acceleration of gravity is approximated as constant with altitude. Using the Newtonian gravitational model, compute the acceleration of gravity at sea level, 50,000 ft, and 100,000 ft. Based on these computations, describe the accuracy of this approximation.
Answer:
The accuracy percentage for 50000 ft is 0.47%.
The accuracy percentage for 100000 ft is 0.92%.
Explanation:
Given that,
Height = 50000 ft and 100000 ft
We need to calculate the new acceleration due to gravity
Using newtonian gravitational formula
[tex]g'=g\times(1-\dfrac{h}{R})^{-2}[/tex]
Where, g = acceleration due to gravity
h = height
R = radius
Put the value into the formula
[tex]g'=9.81\times(1-\dfrac{50000}{20.9\times10^{6}})^{-2}[/tex]
[tex]g'=9.857[/tex]
We need to find the accuracy percentage
Using formula for accuracy
[tex]accuracy\ percentage=\dfrac{g'-g}{g}\times100[/tex]
Put the value into the formula
[tex]accuracy\ percentage=\dfrac{9.857-9.81}{9.81}[/tex]
[tex]accuracy\ percentage=0.47\%[/tex]
Now, For other height,
We need to calculate the new acceleration due to gravity
Using newtonian gravitational formula
[tex]g'=g\times(1-\dfrac{h}{R})^{-2}[/tex]
Put the value into the formula
[tex]g'=9.81\times(1-\dfrac{100000}{20.9\times10^{6}})^{-2}[/tex]
[tex]g'=9.90[/tex]
We need to find the accuracy percentage
Using formula for accuracy
[tex]accuracy\ percentage=\dfrac{g'-g}{g}\times100[/tex]
Put the value into the formula
[tex]accuracy\ percentage=\dfrac{9.90-9.81}{9.81}[/tex]
[tex]accuracy\ percentage=0.92\%[/tex]
Hence, The accuracy percentage for 50000 ft is 0.47%.
The accuracy percentage for 100000 ft is 0.92%.
Question 3. Which of these best describes the field of engineering? *
O A. It is a tool or process designed to solve a problem.
B. It is the use of science and math to solve problems.
C. It is an area of study that relates to space exploration.
D. It is an area of study that relates to nonliving materials.
Please help me:)
What is the speed of an airplane that travels 4500 miles in 6 hours?
Answer:
750 miles / hour
Explanation:
velocity = distance / time
= 4500 miles / 6 hours
= 750 miles / hour
Given:-
Speed of the airplane (s) = 4500 miles Time taken (t) = 6 hTo Find: Speed (v) of the particle (airplane).
We know,
s = vt
where,
s = Distance,v = Speed &t = Time taken.Similarly,
v = s/t
→ v = (4500 miles)/(6 hours)
→ v = 750 miles/hour ...(Ans.)
Question:
Which of these are characteristics of a scientific law? Check all that apply.
Answer choices:
It contains an explanation of facts.
It states a fact about how nature works.
It is based on observations of nature.
It often changes over time with new experiments and technology.
It explains why a group of hypotheses are related.
It will most likely remain true even when scientists work with new experiments.
Please help ASAP
Answer:
B:It states a fact about how nature works.
C:It is based on observations of nature.
F:It will most likely remain true even when scientists work with new experiments.
Explanation:
Good luck :)
These are characteristics of a scientific law that states a fact about how nature works. It is based on observations of nature and It will most likely remain true even when scientists work with new experiments. therefore the correct options are options B, C, and F
What is the scientific claim?Scientific claims are statements made in science based on an experiment.
These Scientific claims are backed by the experimental data and their true results obtained from scientific investigation and experimentation.
scientific law states a fact about how nature works, based on observations of nature. It often changes over time with new experiments and technology and will most likely remain true even when scientists work with new experiments.
Thus, These qualities define a scientific law that establishes a fact about how nature functions. It is based on observations of nature, and even if scientists conduct additional tests, it will probably continue to be true. Hence, choices B, C, and F are the best choices.
Learn more about the scientific claims, here
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Match each principle with the phrase that best defines it.
the federal system
Government power is limited and based
on popular vote
constitutional democracy
Power is divided among legislative,
executive, and judicial branches,
branches of government
Power is divided between state, local,
and federal governments
Answer:
1: 2
2: 1
3: 3
Explanation:
Answer:Federal System->Power Is divides between state, local etc.
Branches of government-> Power is divided among legislative, executive
Constitutional democracy-> Government power
Explanation:
Jesseca Kusher wants to manufacture and sell her new material. Help her marketing campaign by providing a catchy name for the material, an advertising slogan, and a simple picture for the product label. For the name and slogan, use the drawing tool’s text box feature. lol
Answer: the picture is the answer
Explanation:
