Answer: The thermal energy increased during his slide is 3099 J.
Reason:
When the Fireman slides down this initial gravitational potential energy is converted into kinetic energy If we release the mass, gravitational force will do an amount of work equal to mgh on it, thereby increasing its kinetic energy by that same amount.
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in situ quantification of the active sites turnover frequency and stability of ni-fe oxy hydrooxide for the oxygen evolution reaction
The intrinsic catalytic characteristics of nanoscale electro catalysts requires quantification of the active site count and site-specific turnover frequency (TOF).
How does turnover frequency and stability of ni-fe oxy hydroxide for the oxygen evolution reaction?Understanding the intrinsic catalytic characteristics of nanoscale electro catalysts requires quantification of the active site count and site-specific turnover frequency (TOF).
The understanding of Ni-Fe (oxy)hydroxides' electro catalytic activity and stability is hampered by the lack of efficient methods for measuring the Fe active site number and the intrinsic turnover frequency per active Fe site (TOFFe), despite the fact that Fe has been proposed as one of the most active noble-metal-free electro catalysts for the alkaline oxygen evolution reaction (OER).
The direct in situ quantification of the electrochemically active Fe site number and associated TOFFe values of Ni-Fe (oxy)hydroxides using previously unstudied Fe2+/3+ redox electrochemistry in alkaline solutions is described in this article.
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a spring has a natural length of 12.0 cm. if a 26.0-n force is required to keep it stretched to a length of 26.0 cm, how much work w is required to stretch it from 12.0 cm to 19.0 cm? (round your answer to three decimal places.)
The work required to stretch the spring from 12 cm to 19 cm is 0.91 J
What is work done ?When an object is moved across a specific distance by an external force, work is the quantity of energy that is transmitted to the object.
According to the given information
Natural length = 12 cm
Stretched length = 26 cm
Change in length ( x ) = 26 - 12 = 14 cm = 0.14 m
Force required = 26 N
It is known to us that spring force F = K x
K = [tex]\frac{F}{x}[/tex]
K = [tex]\frac{26}{0.14}[/tex]
K = 185.7 N/m
This is the stiffness of the spring
Now the Force that is required to stretch the spring F = K[tex]x_{1}[/tex]
[tex]x_{1}[/tex] = change in length of the spring = 19 - 12 = 7 cm = 0.07 m
F = 185.7 × 0.07
F = 13 N
Now the work that is done in stretching the spring W = F × [tex]x_{1}[/tex]
W = 13 × 0.07
W = 0.91 J
The work required to stretch the spring from 12 cm to 19 cm is 0.91 J
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When a metal car is struck by lightning, the resulting electric field inside the car is?.
When a metal car is struck by lightning, the resulting electric field inside the car is zero.
What is Electric field ?The electric force per unit charge is referred to as the electric field. It is assumed that the field's direction corresponds to the force it would apply to a positive test charge.
The roof and walls of the car provide a path of less resistance than the interior of the car, which is why a person inside a car does not get struck by lightning.
When lightning is present, it is safer to sit under a car than to stand under a tree. Inside the car, there is no electric field.
The metal cage that encloses the occupants of cars protects them from lightning.
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what is the greatest distance, measured from the pivot, that the center of gravity of an 600 kg piece of heavy machinery can be placed without snapping the rope?
The greatest distance that is measured from the the pivot, that the center of gravity of an 600 kg piece of heavy machinery can be placed without snapping the rope is 1.37 m
How to solve for the greatest distanceWe would have to solve for the tensile strength first.
The tensile strength is given as: T /A
The radius = diameter / 2
= 7 / 2
= 3.5
area = πr²
=We would have to solve for the maximum force from here
6 x 10⁷ x π *(3.5*10⁻³)² = 2309.1
Next we would have to solve for the greatest distance
The net torque is given as 0
Fmax x L = m*g*x
2309.1*3.5 = 600*9.8*x
8081.85 = 5880x
divide through to get the value of x
x = 8081.85 / 5880
= 1.37m
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Listed following are several objects in the solar system. Rank these objects from left to right based on their orbital period around the Sun from shortest to longest. A typical asteroid in the asteroid belt, a trojan asteroid, a typical kuiper belt object, a typical oort cloud object
All of the objects that have been listed in the question have been ranked on the basis of the orbital period around the Sun from shortest to longest in the solar system below.
The items included are all objects that are present in the solar system other than the planets, moons, and stars. These objects, just like every other body, have an orbit in which they revolve and their revolution takes place around the Sun as well.
The order on the basis of their orbital period around the Sun from shortest to longest is as thus -
A typical asteroid in the asteroid belt, a trojan asteroid, a typical Oort cloud object, a typical Kuiper belt object
The orbital period of the items is also as thus -
A typical asteroid - 3 to 6 years
A trojan asteroid - 150 to 200 years
A typical Oort cloud object - 200 years
A typical Kulper Belt object - About 10,500 years
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A tugboat pulls with a constant net horizontal force of 5000 N and causes the ship to move through a harbor. How much work is done on the ship if it moves a distance of 3000m?
15000000 Joule work is done on the ship if it moves a distance of 3000m.
What is work done?The amount of force multiplied by the distance moved in the force's direction is known as the work done by a force acting on an item. Work has no direction and only magnitude. Work is a scalar quantity as a result. SI unit of work is joule.
Given parameters:
horizontal force applied on the tugboat is: F = 5000N.
The tugboat moves a distance: d =3000m.
Hence, The work done on the ship is = Fd = 5000N × 3000m = 15000000 Joule.
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what would a permanently magnetic substance be called? a. soft magnet c. hard magnet b. fast magnet d. quick magnet please select the best answer from the choices provided a b c d
The ideal response is C. Hard magnets are substances that are permanently magnetic.
What kind of magnet would you say is hard?An illustration of a naturally hard magnetic substance is iron. The strongest powerful permanent magnets were NdFeB, which are produced from powdered grains of various alloys in a pressure and at high temperatures.
How is a hard magnet created?Soft magnets possess low values for coercivity (Hc), whereas hard magnets have high values, allowing them to maintain their magnetization even in the absence of any applied field. The hysteresis loops of soft and hard magnets are contrasted in the picture on the right.
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a student pulls a 60 newton sled with a force having a magnitue of 20 newtons what is the magnitude of the force that the sled exerts n the students
The magnitude of the force exerted by the sled on the student is 20N
Concept:
Every action on one body causes an equal and opposite response on the other, according to Newton's third rule of motion. It implies that if a body is pulled toward itself by a human, the body will also draw the person toward itself with the same force.
The direction of the body's response to the person will be in opposition to the direction of the person's response to the body.
The sled will similarly exert the same amount of effort on the student to drag him backward in the opposite direction as the student exerts on the sled to pull it forward.
The sled's weight moves in a vertically downward direction, therefore it has no bearing on the reaction force the sled exerts on the learner.
Consequently, the sled's force on the student was of the following magnitude: 20N
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What is the acceleration of a racehorse that is running 19 m/s and the
track has a radius of 50 m?
The acceleration of a racehorse that is running 19 m/s and the track has a radius of 50 m is 7.22 m/s².
What is centripetal acceleration?Centripetal acceleration, the acceleration of a body in a circular orbit. Since velocity is a vector quantity (that is, it has both magnitude, velocity, and direction), as an object moves along a circular path, its direction and velocity constantly change, resulting in acceleration. The centripetal acceleration ac has a magnitude equal to the square of the body velocity v along the curve divided by the distance r from the center of the circle to the moving body. That is, α = v²/r. Centripetal acceleration has units of meters per second squared. The force that causes this acceleration is also directed toward the center of the circle and is called the centripetal force.
α = v²/r
Where, α = centripetal acceleration
r = radius (50 m)
v = velocity (19 m/s)
α = 19²/50
α = 7.22 m/s²
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suppose that 20 j of work is needed to stretch a spring from a0 cm to 2a0 cm. 80 j of work is needed to stretch it from a1 cm to 2a1 cm. what is the natural length of the spring. note that a0 and a1 are some constants and the unit is cm instead of m
Let L be the natural length,
Since 20J of work is needed to stretch the spring from a₀ cm to 2a₀ cm,
We have,
20 = k/2 [ (2a₀-L)² - (a₀-L)²] --------- eq 1
Again,
80 J of work is needed to stretch the spring from a₁ cm to 2a₁ cm,
80 = k/2 [ (2a₁-L)² - (a₁-L)²] ---------- eq 2
Now,
eq 2 / eq 1
k/2 [ (2a₀-L)² - (a₀-L)²] / k/2 [ (2a₁-L)² - (a₁-L)²] = (80/20)
a₁(3a₁ - 2L) / a₀(3a₀ - 2L) = 4
3a₁² - 2La₁ / 3a₀² - 2La₀ = 4
3a₁² - 2La₁ = 12a₀² - 8La₀
L(8a₀ - 2a₁) = 12a₀² - 3a₁²
L = (12a₀² - 3a₁²) / (8a₀ - 2a₁)
Therefore the required length of spring or the natural length is (12a₀² - 3a₁²) / (8a₀ - 2a₁).
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current will travel along the path with the highest resistance. please select the best answer from the choices provided t f
False. Current will travel along the path with the lowest resistance. This is because electrons will take the path of least resistance in order to reach the point of lowest potential energy.
The Principle of Lowest Resistance: Exploring Electron Flow
The concept of electrons traveling along paths of least resistance is a fundamental principle of electrical engineering. This principle, known as the principle of lowest resistance, states that electrons will take the path of least resistance in order to reach the point of lowest potential energy. This phenomenon has implications in various areas of electrical engineering, from circuit design to power distribution.
The basic principle of lowest resistance can be demonstrated with a simple circuit. Imagine a circuit with two parallel paths, one with a higher resistance and one with a lower resistance. When a voltage is applied to the circuit, electrons will flow along the path of least resistance, which in this case is the one with the lower resistance.
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Argon gas has several industrial uses, including arc welding and steel making. Argon is nonflammable and nontoxic, and so can be kept at room temperature (T = 19° C). Companies can buy Argon gas in cylinders which are kept at pressure of P = 246 psi. In this problem you may assume that ideal gas law still holds.
A) How much average kinetic energy (in J) does each atom of the argon gas in the cylinder have?
B) If the volume is 197L, how many moles of Argon are inside?
A. The average kinetic energy for each atom of argon gas in the cylinder is 6.04 × 10⁻²¹ Joule.
B. The number of moles of argon inside the cylinder is 1.38 × 10² mol.
The formula to calculate the average kinetic energy for monoatomic gas is
KE = 3/2 kT
T = the temperature (K)KE = 1.5 kT
KE = 1.5 × 1.38 × 10⁻²³ × 292
KE = 6.04 × 10⁻²¹ J
For every ideal gas applies the ideal gas equation
PV = nRT
P = the pressure (Pascal)PV = nRT
1.7 × 10⁶ × 1.97 × 10⁻¹ = n × 8.314 × 292
3.35 × 10⁵ = n × 2.43 × 10³
n = 1.38 × 10² mol
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A slinky is stretched by two forces. When the forces are removed, the slinky returns to its original length. The slinky has been __________ deformed.
A slinky is stretched by two forces. When the forces are removed, the slinky returns to its original length. The slinky has been permanently deformed.
What causes permanent deformed?
When a material is subjected to stresses that are greater than its yield strength and cause it to elongate, compress, buckle, bend, or twist, this permanent distortion is known as plastic deformation.
Plastic deformation occurs when a metal is sufficiently stressed to permanently alter its shape. A few atomic bonds are broken during plastic deformation, as was covered in the section on crystal defects, as a result of the movement of dislocations.
When a structural part of a rail vehicle experiences permanent deformation, its shape changes.
Therefore, A slinky is stretched by two forces. When the forces are removed, the slinky returns to its original length. The slinky has been permanently deformed.
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two objects a and b move toward each other with speeds of 10 m/s and 2 m/s, respectively. the mass of a is 2 kg and that of b is 10 kg. after a head-on, perfectly inelastic collision, the speed of a and b is? g
Answer:
The speed of a and b will be same about 3.333 m/s after collision.
Explanation:
In a perfectly inelastic collision the bodies gets attached to each other after collision .
In this type of collision the final kinetic energy gets lowered than the initial one. Whereas the momentum before and after the collision still remains constant.
Thus we apply the theory of conservation of momentum.
M1V1+ M2V2 = (M1+M2)V
Thus V= 40/12 =3.33 m/s
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a car traveling at 15 m/s slams on its brakes and the wheels lock. the car comes to rest after skidding 20 m. determine how far the car would skid if the car had been traveling, instead, at 45 m/s.
The distance travelled by the car if had been travelling at a speed of 45 m/s is 180 m.
What is the distance travelled by the car?
The distance travelled by the car is calculated by applying the following kinematic equation as shown below.
v² = u² + 2as
where;
v is the final velocity of the car when it stops = 0u is the initial velocity of the car = 15 m/ss is the distance travelled by the car = 20 ma is the acceleration of the car = ?0 = u² + 2as
-2as = u²
a = -(u²)/2s
a = - (15²) / (2 x 20)
a = -5.625 m/s²
The distance travelled by the car if had been travelling at a speed of 45 m/s is calculated as;
v² = u² + 2as
0 = u² + 2as
s = -(u²)/2a
s = -(45²) / (2 x - 5.625)
s = (45²) / (2 x 5.625)
s = 180 m
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what is the capacitive reactance ????c of a 60.0 μf capacitor placed in an ac circuit driven at a frequency of ????
Capacitive reactance is measured in Ohms, just like resistance. 1,000,000 divided by 6.28 times 60 hertz times 106.1 microfarads, or 25 ohms, is the capacitive reactance.
The amount of charging a capacitor can accomplish depends on its capacitance. Capacitive reactance is a measurement of the capacitor's resistance to alternating current. The following formula can be used to determine a capacitor's capacitive reactance or impedance: The constant one million (or 106) divided by the product of 2p (or 6.28) times frequency times capacitance is known as capacitive reactance, abbreviated as x sub c (XC). where XC is the capacitance, expressed in ohms.
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suppose that a planet was reported to be orbiting the sun-like star iota horologii with a period of 300 days. find the radius of the planet's orbit, assuming that iota horologii has four times the mass as the sun.
Radius of the planet's orbit is 2.15 * [tex]10^{-6}[/tex] m
Radius of the orbit can be calculated by applying Kepler's third law, which compares the motion characteristics of different planets, i.e. it compares the orbital period and the radius of the orbit.
Mathematically, [tex]T^{2} = 4\pi ^{2} * r^{3} / GM[/tex]Where
T = Time period = 300Days ( Period)
r = radius
G = Gravitational constant = 6.67 * [tex]10^{-11}[/tex] m³/Kgs
M = Mass of the object, sun in this case = 1.99 * [tex]10^{30}[/tex] kg
Then, rearranging the Kepler's equation,
[tex]R^{3} = GMT^{2} /4\pi ^{2}[/tex]
R³ = 100 * [tex]10^{-19}[/tex]
R = 2.15 * [tex]10^{-6}[/tex] m
The radius of the planet which is reported to orbiting for 300 days is 2.15 * [tex]10^{-6}[/tex] m
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from peak to trough a wave on the ocean measures 15\;\mathrm{m}15m in height and has a wavelength of 12\;\mathrm{m}12m. what is the amplitude of the wave?
The size of a wave is equivalent to half its top to valley distance, which is the solution to the question.
How can one measure wavelength? What is a wave length?A wave sensor's length, which corresponds to the distance between two identical locations (next crests) in successive cycles, determines whether it is sent through space or via a wire. In wireless systems, this length is often specified in meters (m), centimeters (cm), or millimeter (mm) (mm). The duration can be calculated as the distance between two contiguous wave front peaks or waves propagating compressions. It is often represented in meters. Such waves have a relationship between their energy and wavelength. Waves with a shorter wavelength have had more energy than waves with a longer wavelength of the same intensity.
Briefing:A = 1/2* distance
A = 1/2* 5.8
A = 2.9m
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The complete question is-
From Peak To Trough A Wave On The Ocean Measures 5.8 M And Has A Wavelength Of 22.5 M. What Is The Amplitude Of The Wave?
A 5. 00-m-long ladder, weighing 200 n, rests against a smooth vertical wall with its base on a horizontal rough floor, a distance of 1. 20 m away from the wall. The center of mass of the ladder is 2. 50 m from its base, and the coefficient of static friction between the ladder and the floor is 0. 200. How far up the ladder, measured along the ladder, can a 600-n person climb before the ladder begins to slip?.
the ladder, measured along the ladder, can a 600-n person climb before the ladder begins to slip is 0.488 m
What is a ladder used for?A ladder is a piece of equipment consisting of repeated bars or steps (rungs) between two upright lengths of metal, wood, or rope, used for climbing up or down something.Choosing the Right Ladder. Ladders are built from one of three basic materials; wood, fiberglass and metal (aluminum).Ladder diagrams are specialized schematics commonly used to document industrial control logic systems. They are called “ladder” diagrams because they resemble a ladder, with two vertical rails (supply power) and as many “rungs” (horizontal lines) as there are control circuits to represent.Maintain a 3-point contact (two hands and a foot, or two feet and a hand) when climbing/ descending a ladder. Stay near the middle of the ladder and face the ladder while climbing up/down. Use a barricade to keep traffic away from the ladder. Keep ladders free of any slippery materials.0.488 m
If θ be the angle ladder makes with the plane
cos θ = 1.2 / 5
Tan θ = 4.04
Let the height a person of weight 600 N can climb be h from the ground .Distance from the base point where ladder touches the floor = h / tanθ
= h / 4.04
Total reaction force = total downward force
R = 200 + 600
800 N
Frictional force = μ R
= .2 x 800
= 160 N
Taking moment of force about the point on the ladder where it touches the floor and balancing them
200 x 1.2 x .5 + 600 x h / tanθ = μ R x 1.2 / tanθ ( reaction at the top point of ladder where it touches the wall is R₁ and
R₁ =μ R )
= 200 x 1.2 x .5 + 600 x h / tanθ = 160 x 1.2 / tanθ
120 - 600 h / 4.04 = 47.52
120 - 47.52 = 600 h / 4.04
72.48= 148.51 h
h = 0.488 m
=
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A satellite used in a cellular telephone network has a mass of 2050 kg and is in a circular orbit at a height of 880 km above the surface of the earth.
Part A
What is the gravitational force Fgrav on the satellite?
Take the gravitational constant to be G = 6.67×10−11 N⋅m2/kg2 , the mass of the earth to be me = 5.97×1024 kg , and the radius of the Earth to be re = 6.38×106 m .
Express your answer in newtons.
The Gravitational Force, Fgrav on the satellite is 1.548 x 10⁴ N.
Newton's Gravitational Law - The force between two objects is directly proportional to the product of their masses and the force between two objects is inversely proportional to the square of the distance between them.
We use the Newton's Gravitational Law formula to find the Gravitational Force on the satellite :
F = G (m₁ m₂)/r²
where,
F = Gravitational Force
G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²
m₁ = mass of earth = 5.97 x 10²⁴ kg
m₂ = mass of satellite = 2050 kg
radius of earth = 6.38 x 106 m
r = distance between the centre of earth and the centre of satellite
r = distance of satellite from the surface of earth + radius of earth
r = 880000 m + 6380000 m = 7260000 m
Therefore,
(6.67 x 10-11 N.m²/kg²).(5.97 x 10²⁴ kg).(2050 kg)
F = --------------------------------------------------------------------------
(7260000 m)²
F = 1.548 x 10⁴ N
The Gravitational Force, Fgrav on the satellite is 1.548 x 10⁴ N.
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A stationary boat bobs up and down with a period of 2.1 s when it encounters the waves from a moving boat.
What is the frequency of the waves? If the crests of the waves are 8.8 m apart, what is their speed?
The frequency of the waves is 0.48Hz and their speed is 4.2m/s.
Define frequency.
The number of waves passing a fixed place in a unit of time is known as frequency.
Given ,
Time ,t is 2.1s
Frequency, F =1/t
F =1/2.1
F =0.48Hz
A periodic wave's wavelength, or the distance over which the wave's shape repeats, is its spatial period. It is the separation between neighboring wave points that correspond to the same phase, such as two adjacent crests, troughs, or zero crossings. It is a property of both traveling waves and standing waves as well as other spatial wave patterns. The spatial frequency is the wavelength's reciprocal. The Greek letter lambda ( λ) is frequently used to denote wavelength.
Speed ,v = λ / T.
v = 8.8/2.1
v =4.2m/s
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learning goal: to understand the role of friction in a state of equilibrium. a chair weighing 70.0 n rests on a level floor that is not frictionless. a man pushes on the chair with a force f
Given details :
Weight of chair W = 70 NForce P = 39 NAngle = 38°1.Force equilibrium in x direction
∑ [tex]F{x}[/tex] = 0
F - 39 cos Ф = 0
As Ф = 38°
F = 39 cos38°
F = 30.73 N
Force equilibrium in y direction
∑ [tex]F{y}[/tex] = 0
N = W + P sin38°
= 70 + 39 sin38°
N = 93.79 N
Thus the normal force on chair = 93.79 N
From the free body diagram
F = μN
30.73 = μ x 93.79
μ = 30.73 / 93.79 = 0.32
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as like charges move closer together their lines of force bend farther away from the other charge and push together into a smaller space what does this indicate about the size of the forces between them
This indicates that the size of forces between the like charge are strong.
What is charge?
Electric charge is the property of subatomic particle. This property makes these particles to experience the electric force of attraction and repulsion. there are two type of charges, positive and negative charge. The force experienced by two like charges is of repulsion and that of unlike charges is attraction. These forces are proportional to the extend of charge.
What are like and unlike charges?
The charges that experience the electric force of attraction when brought closer are known as unlike charges. When +ve and -ve charges are brought closer they experience the electric force of attraction. The charges that experience the electric force of repultion when brought closer are known as like charges. When two +ve and +ve charges are brought closer they experience the electric force of repulsion.
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A metal cools from an initial temperature of 225 oc to 25 oc and releases 160 j of heat energy. If the mass of the metal is 5. 0 g, what is its specific heat capacity?.
If a metal cools while releasing 160 j of heat energy, its specific heat capacity is 1.4222 J/kg. In the event that the metal weighs 5.0 g
Why is specific heat important? What does it mean?A amount of heat unit unit of mass needed to raise temperature temperature by one degree Celsius is known as the thermal inertia or specific heat. The ability to distinguish between various polymeric composites using specific heat can be useful in calculating the processing temperatures the volume of heat required
T₁ = 225°C
T₂ = 25°C
q = -160 J
m = 5.0 g
As we know,
q = mcΔT
Now,
-160 = 5*c*(T₂-T₁)
-160 = 5*c*(25-225)
c = -160/5(-200)
c = 0.16 J/g°c.
What distinguishes heat capacity from specific heat?Summary. The heat capacity of a thing is indeed the amount of energy needed to raise its temperature by one degree Celsius. The amount of energy required to raise the temperature od 1 gram of a substance by 1oC is known as its specific heat.
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(figure 1) shows the cost of locomotion as a function of body mass. using this plot, determine the amount of energy expended by usain bolt during the 100 m sprint.
Assuming Usain Bolt begins at rest (with zero initial velocity) and his motion is uniformly accelerated, his position at time t is given by
where a denotes the average acceleration and t denotes the time. Because the distance covered in our problem is S=100 m and the time taken is t=9.58 s, the average acceleration can be calculated by rearranging the previous formula:
1175.50 kg m/s
Usain Bolt's weight is 93.89 kg.
The average velocity in a 100-meter sprint is 12.52 metres per second.
The momentum can be calculated by taking the product of mass and velocity and multiplying it by
The following factors provide momentum:kg m/s
where denotes mass and denotes velocity
Thus, Usain Bolt's momentum can be calculated by plugging in the given values for
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The long straight wire in the figure carries a current i that is decreasing with time at a constant rate. The circular loops a, b, and c all lie in a plane containing the wire. The induced emf in each of the loops a, b, and c is such that.
The induced EMF in each of the loops a, b, and c is such that loop A has a counter-clockwise EMF, loop B has no induced EMF, and loop C has a clockwise EMF.
How is the direction of EMF decided?As given in the figure, the loops a, b, c are decreasing with time.The direction of current is left to right.Due to which , current is maximum at loop A and minimum at loop C .We know, if current is maximum then the magnetic field is also maximum.If magnetic field is maximum then induced magnetic field is minimum and hence induced EMF is also minimum.Because the EMF is minimum loop A will rotate counter-clockwise .Since, loop B is along the wire there is no magnetic field hence no EMF .And loop C is at minimum hence more EMF is generated and hence it rotates clockwise .What is EMF ?The highest potential difference between two electrodes of a galvanic or voltaic cell is what creates electromagnetic force. The characteristic has to do with how readily an element, molecule, or ion tends to gain (gain) or lose electrons.
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two balls having different speeds roll off the edge of a horizontal table at the same time. which hits the floor sooner, the faster ball or the slower one?
Two balls having different speeds roll off the edge of a horizontal table at the same time, both will hit the floor at the same time.
What is velocity?Velocity is defined in physics as a vector measurement of direction and velocity of motion. More specifically, the velocity of an object can also be defined as the rate of change of the object's position with respect to the reference frame and time. Simply put, the term velocity describes how fast an object moves in a particular direction. Indicates whether something is moving slowly or quickly. Let's look at an example where two objects are moving. If two objects are moving in the same direction, it's easy to tell which is moving faster. However, it is very difficult to determine which object is faster when both are moving in opposite directions. Considering such difficulties and ways to overcome them, our scientists developed the concept of velocity to make it easier for observers to identify faster or slower objects.
Both balls will hit the ground simultaneously. This is because both balls were moving parallel to the ground when they left the table (remember the table is horizontal). Both balls have 0 velocity in the direction of interest, both accelerate at the same velocity and land at the same time.
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an undamped 2.52 kg2.52 kg horizontal spring oscillator has a spring constant of 21.6 n/m.21.6 n/m. while oscillating, it is found to have a speed of 3.34 m/s3.34 m/s as it passes through its equilibrium position. what is its amplitude ????a of oscillation? ????
The undamped horizontal spring oscillator has an amplitude of 1.61 m when passing through its equilibrium position during oscillation.
It is given to us that -
Mass of the undamped spring oscillator, m = 2.52 kg
Spring constant during oscillation, k = 21.6 n/m
Speed of the spring oscillator, v = 3.34 m/s
We have to find out the amplitude of oscillation, say A.
According to the concept of Conservation of Energy, we can say that -
[tex]\frac{1}{2} mv^{2} = \frac{1}{2} kA^{2}[/tex] ------ (1)
where,
m = mass of the oscillator
v = speed of oscillation
k = Spring constant
A = Amplitude of oscillation
Now, substituting the given values in equation (1), we have
[tex]\frac{1}{2} mv^{2} = \frac{1}{2} kA^{2}\\= > \frac{1}{2} *2.52*(3.34)^{2} = \frac{1}{2} *21.6*A^{2}\\= > 28.11211 = 10.8A^{2}\\= > A^{2}=2.60\\= > A = 1.61m[/tex]
Therefore, the undamped horizontal spring oscillator has an amplitude of 1.61 m when passing through its equilibrium position during oscillation.
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If the sun mysteriously gets twice as massive as it is right now, what effect will it have on its pull on mars?.
If the sun mysteriously gets twice as massive as it is right now, it's pull on Mars will be twice as much.
What would happen if the sun were twice as massive?The Sun is 93 million miles away from Earth on average, but it is still vital to maintaining life as we know it. We would undoubtedly experience substantial changes in our lives if it were to decrease, grow, or change in any manner.Most people agree that the energy that powers planet Earth comes from the sun, which is at the heart of the solar system. Our climate and weather systems are built on the light and heat that our life-supporting star emits, which also helps to support the development of life on Earth. We are also subject to the gravitational pull of the sun, and how quickly we orbit it determines how long a year is.To learn more about sun, refer to
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what capacitor in series with a 100ω resistor and a 30.0 mh inductor will give a resonance frequency of 1040 hz ?
Capacitance is C = [tex]8.126[/tex] × [tex]10^{-4}[/tex]
What is Capacitance ?A material thing or device's capacitance is its ability to hold electric charge. The ratio of those two values is used to calculate the change in charge in response to an alteration in electric potential.
According to the given information
The RLC circuit's resonant frequency is determined by
f = [tex]\frac{1}{2\pi \sqrt{LC} }[/tex]
L is the circuit's inductance, and C is its capacitance.
By rearranging the equation, we get
C = [tex]\frac{1}{(2\pi) ^{2}f^{2} L }[/tex]
and by substituting the inductance of the circuit L = 30mH = 0.030mH
The resonant frequency f = 1040 Hz
We need to find the value of the capacitance
By substituting the values in C
C = [tex]\frac{1}{(2\pi) ^{2}(1040)^{2}(0.03) }[/tex]
C = 0.0008126 [tex]u[/tex]C
C = [tex]8.126[/tex] × [tex]10^{-4}[/tex]
Capacitance is C = [tex]8.126[/tex] × [tex]10^{-4}[/tex]
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