The amount of work that the force does as the particle crosses the 21.0 J. Work done refers to the amount of energy used by a force that move an object.
What exactly does science work on?A force's output is defined as the product of the force's component acting in the displacement's direction and its magnitude. Formula. The following formula can be used to determine work: multiply force by distance traveled inside the direction of force. W = F × d.
What type of work is done?A force is said to have completed its work when it exerts itself on an object and the object really moves in the direction of the applied force. A product of the force as well as the object's displacement in the force's direction is the work that the force produces.
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Answer:
Explanation:
The work is numerically equal to the area of the figure lying under the graph of the function.
(a)
A₁ = (1/2)·80·6 = 240 J
(b)
A₂ = (1/2)·40·3 = 60 J
(c)
A = A₁ + A₂ = 240 + 60 = 300 J
A wave on a rope is shown in the diagram. In the diagram, d = 3 m.
(a) What is the wavelength of this wave?
(b) If the frequency is 5 Hz, what is the speed of the wave?
The wavelength of the wave is 3m and the speed of the wave is 15 m/s
What is a wave?We define a wave as a disturbance that occurs along a medium and leads to the transference of energy from one point to another. As we can see the energy in this case is transferred along the length of the string. We know that the wavelength is the distance between the two successive crests or troughs.
Now we know that the distance between the two successive crests as we can see is the wavelength of the wave and this is shown the length that have been designated as d and we thus have the wavelength as 3m.
Again we have;
v = λf
v = speed of the wave
f = frequency of the wave
λ = wavelength of the wave
Then;
v = 3 m * 5 Hz
= 15 m/s
Thus the wave speed is obtained as 15 m/s.
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Why is there an upper limit to the mass that can be supported by electron degeneracy pressure?
Electron degeneracy pressure is a specific manifestation of the more general occurrence of quantum degeneracy pressure.
What is mass electron degeneracy pressure?Electron degeneracy pressure will halt the gravitational slump of a star if its mass is below the Chandrasekhar limit (1.44 solar masses). This is the pressure that averts a white dwarf star from collapsing. Electron degeneracy pressure occurs when electrons are squeezed into a very small volume. Since their positions are well-known, they gain a large momentum in obedience to Heisenberg's uncertainty principle. This momentum generates a pressure that is temperature-independent and can result in helium flash. in stars. Electron degeneracy occurs at a solidity of about 106 kg/m3.
So we can conclude that The electron degeneracy pressure is taken by (n.v.p) where n is the number density, and v is the mean speed of the degenerate electrons.
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Ametal cube of side 6cm at 20 degree Celsius on
heating to 600 degree Celsius increases by 0.3cm
calculating the coefficient of linear expansion
coefficient of superficial expression
coefficient of cubical expansion
We have the following from the question;
The coefficient of linear expansion is 8.6 * 10^-5
The coefficient of superficial expression is 1.72 * 8.6 * 10^-4
The coefficient of cubical expansion is 2.5 * 10^-4
What is the linear expansivity?Let us recall that the term linear expansivity has to do with the increase in length, per unit length, per degree Kelvin rise in temperature. Now we know that we have the following information from the question;
Initial length = 6cm
Increase in length = 0.3cm
Initial temperature = 20 degree Celsius
Final temperature = 600 degree Celsius
We then have;
coefficient of linear expansion = e/[tex]l_{1}[/tex]([tex]T_{2}[/tex] - [tex]T_{1}[/tex])
e = extension
[tex]l_{1}[/tex] = initial length
[tex]T_{2}[/tex] = Final temperature
[tex]T_{1}[/tex] = initial temperature
coefficient of linear expansion = 0.3/6(600 - 20)
= 8.6 * 10^-5
coefficient of superficial expression = 2( 8.6 * 10^-5)
= 1.72 * 8.6 * 10^-4
coefficient of cubical expansion = 3(8.6 * 10^-5)
= 2.5 * 10^-4
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Suppose a woman wearing high-heeled shoes has a mass of 20 kg the area of each shoe is 10 cm2. How much pressure does she exert on the ground with both feet or with one foot? Explain your reasoning
She will exert a pressure of 20N/m² for one foot. For both feet 40N/m². The reason is that pressure increases with an increase in force. pressure and decreases within the area.
What is Pressure?
This is the force acting per unit area. It can be calculated using the formula
P=F/A or P= mg/A
Where m = mass of the object
g = acceleration due to gravity
A = area.
From the question given:
m =20kg
A =10cm²
Applying the above formula,
P= (20*10)/10
P=20N/m²
Hence, the pressure exerted by the two feet will be 20+20= 40N/m²
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Determine the net capacitance C of each network of capacitors shown below. Assume that C1=1.0pF, C2=2.0pF, C3=4.0pF, and C4=5.0pF
The net capacitance C of each network of capacitors is 7.33 pF.
What is the net capacitance of series capacitors?The net capacitance of a circuit containing capacitors arranged in series to one another is the reciprocal sum of the individual capacitance.
Mathematically, this capacitance is given as;
1/Ct = 1/C₁ + 1/C₂ + 1/C₃ + 1/C₄ + 1/C₅
where;
Ct is the net capacitance C is the individual capacitanceThe capacitance of capacitors arranged in parallel to one another, the net capacitance is the sum of the individual capacitors.
Ct = C₁ + C₂ + C₃ + C₄ + C₅
In the given circuit, the net capacitance is calculated as follows;
C₂ and C₃ are in series to one another, the net capacitance of these two is calculated as;
1/Ct = 1/C₂ + 1/C₃
1/Ct = 1/2 + 1/4
1/Ct = 3/4
Ct = 4/3 pF
Ct = 1.33 pF
Combining the whole capacitors in the circuit, C₂, C₃ are in parallel with C₁ and C₄
Ct = 1.33 pF + C₁ + C₄
Ct = 1.33 pF + 1 pF + 5 pF
Ct = 7.33 pF
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A weightless spring of force constant 2.50 N/cm is 15.0 cm long when nothing is attached to it. It is now used to pull horizontally on a 12.5 kg box on a smooth horizontal floor. You observe that the box starts from rest and moves 96.0 cm during the first 1.60 s of its motion. How long is the spring during this motion?
The length of the spring during the motion is 16.875 cm
How do I determine the length of the spring?We'll begin by obtaining the velocity during the first 1.60 s. This is illustrated as follow:
Distance = 96 cm = 96 / 100 = 0.96 mTime = 1.60 sVelocity =?Velocity = distance / time
Velocity = 0.96 / 1.6
Velocity = 0.6 m/s
Next, we shall determine the acceleration.
Initial velocity (u) = 0 m/sFinal velocity (v) = 0.6 m/sTime (t) = 1.6 sAcceleration (a) =?a = (v – u) / t
a = (0.6 – 0) / 1.6
a = 0.6 / 1.6
a = 0.375 m/s²
Next, we shall determine the force.
Mass (m) = 12.5 kg
Acceleration (a) = 0.375 m/s²
Force (F) =?
Force = mass × acceleration
Force = 12.5 × 0.375
F = 4.6875 N
Next, we shall determine the extension of the spring.
Force (F) = 4.6875 NSpring constant (K) = 2.50 N/cmExtension (e) =?F = Ke
Divide both sides by K
e = F / K
e = 4.6875 / 2.5
e = 1.875 cm
Finally, we shall dtermin the length of the spring. This can be obtained as follow:
Original length = 15 cmExtended length = 1.875 cmLength of spring =?Length of spring = 15 + 1.875
Length of spring = 16.875 cm
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A horizontal line on a velocity/time graph shows ____ acceleration.
Question 9 options:
positive
negative
changing
zero
URGENTTTTT HELP ME
Referring to the graph in the section header, what was his displacement between 100 and 300 seconds?
Question 2 options:
Question 3 (2 points)
Referring to the graph in the section header, what was the runner's velocity during segment D?
Answer:
V = (S2 - S1) / t = (750 - 500) m / (300 - 100) s = 1.25 m/s
Likewise during segment (D)
V = (0 - 750) m / (500 - 300) s = -3.75 m/s
In the winter, an animals fur provides warmth through which method?
A. Conduction
B. Convection
C. Radiation
In the winter, an animals fur provides warmth through Conduction.
What is conduction?
One of the three main ways that heat energy moves from one place to another is conduction. The other two ways heat moves are through radiation and convection. Thermal energy is transferred through conduction when nearby atoms or molecules collide. Because the particles in solids and liquids are closer together than they are in gases, conduction occurs more readily. The rate of energy transfer besides conduction is faster when there is a significant temperature difference between the materials in contact. Thermal energy is transferred from a lower kinetic energy area to a higher kinetic energy area. The kinetic energy of slow-moving particles increases when they collide with fast-moving particles. This is a typical instance of heat transfer through physical contact.
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You are holding a small helium balloon. Your friend says that the buoyant force from the atmosphere is greater on her car than your balloon. Is she correct? Explain your answer.
Buoyant force from the atmosphere is greater on her car than the balloon is a correct statement
buoyant force = - rho * g * V
where
rho = fluid density or in our case air density
g = acceleration due to gravity
V = volume of displaced liquid or volume of displaced air
volume of displaced air is more in the case of car as compared to balloon because car has larger volume then balloon .
and volume displaced is directly proportional to the buoyant force , hence buoyant force from the atmosphere is greater on her car than the balloon is a correct statement .
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Two friends, Burt and Ernie, are standing at opposite ends of a uniform log that is floating in a lake. The log is 4.0 m long and has mass 210 kg. Burt has mass 40.5 kg and Ernie has mass 25.5 kg. Initially the log and the two friends are at rest relative to the shore. Burt then offers Ernie a cookie, and Ernie walks to Burt's end of the log to get it.
Relative to the shore, what distance has the log moved by the time Ernie reaches Burt? Neglect any horizontal force that the water exerts on the log and assume that neither Burt nor Ernie falls off the log.
The distance that the log has moved till it got to where Ernie reached Burt would be 0.37m
How to solve for distanceWe have the following details that would be used to get the solution to this problem
length of log = 4. 0 m
The mass of the log is 210 kg
The weight pof Burt = 40 . 5 kg
The weight of ernie would be 25.5 kg
The formula to be used would be in the form of
x(mass of log) + x(mass of Burt) + mass of ernie (x - length of wood)
such that we would have
210x + 40.5x + 25.5(x - 4) = 0
210x + 40.5x + 25.5x - 102 = 0
276x - 102 = 0
cross sign to the other side
276x = 102
To get the distance we would have to divide through by 276 and this value that we would get is going to be the x value
276x / 276 = 102 / 276
x = 0.369
~ 0.37m
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A cylinder is rolling along the ground at 2m/s . It comes to a hill and starts going up.Assuming no losses to friction, how high does it get before it stops
The maximum height reached by the cylinder at the given initial velocity is 0.2 m.
What is the maximum height travelled by the cylinder?
The maximum height travelled by the cylinder is calculated by applying the following kinematic equation as shown below.
v² = u² - 2gh
where;
u is the initial velocity of the cylinderv is the final velocity of the cylinder at the maximum heighth is the maximum height travelled by the cylinderg is acceleration due to gravityAt maximum height, the final velocity of the cylinder = 0
v² = u² - 2gh
0 = u² - 2gh
2gh = u²
h = u²/2g
h = (2²) / (2 x 9.8)
h = 0.2 m
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Mars had an orbital period of 1.88 years. In two or more complete sentences,explain how to calculate the average distance from mars to the sun, then calculate it
The average distance from mars to the sun if Mars had an orbital period of 1.88 years is 2.27 * [tex]10^{8}[/tex] km
P² = a³
P = Orbital period
a = Average distance
P = 1.88 years
a³ = 1.88²
a³ = 3.53
a = 1.52 AU
a = 1.52 * 1.496 * [tex]10^{8}[/tex] km
a = 2.27 * [tex]10^{8}[/tex] km
The formula used to solve the given problem is derived from Kepler's third law of planetary motion. AU is the abbreviated from of Astronomical unit. 1 AU = 1.496 * [tex]10^{8}[/tex] km
Therefore, the average distance from mars to the sun is 2.27 * [tex]10^{8}[/tex] km
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aball is through horizontal From The top at buiding the ball lands I00m for building and It takes 4 Second For It to hit The ground Find: A, The Inital horizontal componet OF Velocity
A ball is through horizontal From The top at building the ball lands I00m for building and It takes 4 Second For It to hit The ground . The Initial horizontal component of Velocity will be 25 m/s
using kinematic equation
s = u t + 1/2 a [tex]t^{2}[/tex]
since , there is no acceleration in horizontal direction
s = u(x) t + 0
100 = u (x) * 4
u(x) = 100 / 4
= 25 m/s
The Initial horizontal component of Velocity will be 25 m/s
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An iron battleship is very heavy. How is it able to float?
4. A 0.7 kg object has a momentum of 15 kg m/s. What is the object's speed?
Answer:
21.4 m/s
Explanation:
Momentum = m * v
15 kg m/s = .7 * v
v = 15/.7 = 21.4 m/s
Which force causes motion?
Motion is caused due to external Force.
The universe contains multiple fundamental forces, including gravity, electromagnetic force, and weak and strong nuclear forces. However, when it comes to the motion of common objects, the forces of importance are primarily gravity, friction, and applied force.
The vector sum of all the forces acting on an object is the net force. That is, the net force is the sum of all forces, taking into mind that a force is a vector, and two forces of identical size and opposing direction cancel each other out.
When you apply force to an object, it moves. However, there is a little more to the story. Newton's second rule of motion asserts that you must total up all of the forces acting on a system to determine what will happen to it.
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Calculate the force of gravity on the 1.4-kg mass if it were 1.3x107 m above Earth's surface (that
is, if it were three Earth radii from Earth's center).
The gravitational force acting on the 1.4 kg mass at 1.3 x 107 m above the Earth's surface
What makes gravity a force, exactly?However, gravity is a force in the broadest sense since it characterizes the resulting interaction between two masses. The warping of spacetime and the motion of objects thru the stretched spacetime are the main causes of gravitational effects. However, the result seems to be the effect of using force.
Why does gravity not have more force?According to string theory, the universe must include at least four additional spatial dimensions in addition to the three that we can now perceive. Gravity is so weak, say the best theories of string theory.
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A child can throw a baseball at 20 mph. Some professional ball players can throw a baseball at 100 mph, which is five times as fast. How much more energy does the pro ball player give to the faster ball?
The ball is 25 times more energetic when it is thrown by the professional then when it is thrown by the child.
What is the ratio of the energy?Basically we ought to be reminded that the kinetic energy of the object is the energy that is possessed by the object by virtue of the fact that the object is in motion.
We have to recall that the kinetic energy is given by;
KE = 1/2 mv^2
m = mass of the object
v = velocity of the object
Since the mass of the object is held the same let us take note of the speed with which the ball is thrown by the student and the professional respectively
Speed of the student = 20 mph or 8.9 m/s
Speed of the professional = 100 mph or 44.7 m/s
Energy of the ball by the student = 0.5 * m * (8.9)^2
Energy of the ball by the professional = 0.5 * m * (44.7)^2
We now have;
0.5 * m * (44.7)^2/0.5 * m * (8.9)^2
25 times
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In each of three trials of an investigation, a single force is applied to a mobile. Each time, the mobile acquires a different acceleration. The table shows the relationship between the acceleration and the acting force.
Which phrase best describes a graph that would represent the relationship shown in the table?
O a downward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
B) a downward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
C) an upward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
D) an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
The best representation of the graph is an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis. Option D
What is the relationship between the force and the acceleration?
We know that there is a direct relationship between the force and the acceleration of the object. According to the Newton second law, when force is applied to an object. The object would acquire an acceleration. In order words, the force that acts on the body is able to increase the speed of the object.
If we look at the table that was shown in the question that we have attached here, you would notice that as the force that acted on the object was increased, there was a commensurate increase in the acceleration of the object as seen.
This goes on to buttress that the relationship between the force and the accaleration is a direct relationship. This also tell us that we will have a graph that runs upwards and not downwards!
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particle that is not considered part of an element’s atomic mass?
Answer:
Electrons.
Explanation:
Neutrons are neutral particles found in the nucleus. The atomic mass is calculated using the protons and neutrons but not the electrons, as their mass is negligible. In an example, the element oxygen has an atomic number of 8 and an atomic mass of 16.
The number of protons, neutrons, and electrons determines all of the
_____ of that atom.
When u combine two or more atoms of different elements, u make an_
Answer: *a molecule.
Explanation: A molecule is the combination of two or more atoms
A box is dropped out of a moving airplane. The airplane is traveling at 50 m/s
East. The box is dropped from rest with respect to the airplane. The box travels a
vertical distance of 40 m before landing on a trampoline. The airplane continues
traveling at a constant speed after the box is dropped and the wind resistance on
the falling box is negligible.
Choose the option that correctly identifies the missing terms, in order of their
appearance in the sentences.
The box has an initial horizontal velocity of
of
m/s. The box takes
seconds to reach the ground. The box experiences an acceleration
m/s2. The box will land directly
the airplane.
The options that correctly identifies the missing terms, in order of their
appearance in the sentences are as follows:
The box has an initial horizontal velocity of 50m/s.The box takes 2.86 seconds to reach the ground.The box experiences an acceleration of 9.8 m/s².The box will land directly 143 m from the airplane.What is the initial horizontal velocity of the box dropped from the airplane?The initial horizontal velocity of the box dropped from the airplane is equal to the horizontal velocity of the airplane.
The velocity of the airplane is 50 m/s
Hence, the horizontal velocity of the box is also 50m/s.
The box falls freely under the effect of gravity. Hence, the acceleration in the vertical direction will be equal to the acceleration due to gravity.
The time taken by the box to reach the ground is calculated from the formula below as follows:
t = √(2h/g)
where;
t is the time taken to reach the ground
h is the vertical height above the ground = 40 m
g is the acceleration due to gravity = 9.8 m/s²
t = √(2 * 40 / 9.8)
t = 2.86 seconds
The horizontal distance traveled by the box = 2.86 s * 50 m/s
The horizontal distance traveled by the box = 143 m
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5. A force of 3.5 N applied to an object for 0.15 seconds increases the object's velocity by 2.0 m/s. What is the
mass of the object?
The estimated value of mass is 0.2625066 units
Given , Force =3.5N , time=0.15sec =15/100 sec
Velocity=2 m/s, mass =?
In Physics Acceleration means rate of change of velocity, i.e. Mathematically, a= v/t
a= 2/0.15
a=200/15= 13.333m/s²
In Physics Force means product of mass and acceleration i.e. F=ma
From this equation we can deduce the value of mass of the object.
3.5N= m [13.333]
m=3.5/13.333
m= 0.2625066
Hence forth in this way the value of mass is computed.
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A cannon fires a cannon ball vertically into the air. Find the initial velocity if the cannon ball reached the height of 4.75 meters
The initial velocity of the cannon ball when it reached a height of 4.75 m is 9.65 m/s.
Velocity- The rate of change of displacement is the definition of velocity.
The formula below is used to determine the cannon ball's initial velocity.
Formula:
v² = u²+2gH......... Equation 1
Where:
v = Final velocity
u = Initial velocity
H = Height
g = Acceleration due to gravity.
From the question,
Given:
v = 0 m/s (At the maximum height)
H = 4.75 m
g = 9.8 m/s
Substitute these values into equation 1
0² = u²+2×9.8×4.75
u² = 93.1
u = √(93.1)
u = 9.65 m/s
Hence, the initial velocity of the cannonball is 9.65 m/s.
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2. The total mass of a boy and his bike is 45 kg. The boy rides his bike at a velocity of -5.0 m/s. What is
the boy's momentum?
The correct answer is momentum of boy = 225 Kg. m /s
What is momentum?
Momentum is the product of the units of mass and velocity is the unit of Momentum.
To get the value the momentum, formula: P=mv, where P is the momentum.
Given, total mass and boy = 45 Kg., Velocity = -5 m/s
Momentum = Mass x Velocity = 45 Kg. x 5 m/s = 225 Kg. m / s
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A circuit that has only one branch for electrons to follow is a(n) ____.
Question 1 options:
circuit diagram
electron circuit
parallel circuit
series circuit
Answer: series circuit
Explanation:
First 2 answers are garbage. In Parallel circuits electrons have 2 or more paths to follow. In Series circuits, there is only one path.
What should your guide hand (non shooting hand) do when you shoot a ball?
7. Daniel is fishing the canals and hooks a 2 kg peacock bass. Daniel exerts a 50 N
force on the fish to the left and the fish exerts an unknown amount of force in the
opposite direction. If the fish accelerates 2 m/s² towards Daniel, what is the
amount of force the fish is exerting?
Ans: