The speed of the ball just before it strikes the ground is 46.4 m/s
Motion Under Gravity
Motion under gravity is also known as vertical motion. The gravity act only on the vertical component of the velocity.
Given that a ball is thrown horizontally from the top of a building 110 m high. The ball strikes the ground 74 m horizontally from the point of release.
The time taken for the ball will be
h = ut + 1/2gt²
but u = 0
110 = 1/2 × 9.8 × t²
110 = 4.9t²
t² = 110 / 4.9
t² = 22.45
t = √22.45
t = 4.74 s
The speed of the ball just before it strikes the ground will be
v² = u² + 2gH
v² = 0 + 2 × 9.8 × 110
v² = 2156
v = √2156
v = 46.4 m/s
Therefore, the speed of the ball just before it strikes the ground is 46.4 m/s
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Please help question in the picture below.
Answer:
c. an electron is the particle of an atom that is negatively charged
Explanation:
the other statements are not the best at defining an electron
If we apply a potential difference of 4. 50 v between the ends of a wire that is 2. 50 m in length and 0. 654 mm in radius, the resulting current through the wire is 17. 6 a. What is the resistivity of the wire material?.
According to the resistance, the resistivity of wire material is 1.37 x 10¯⁷ Ωm.
We need to know about the resistance of conductive material to solve this problem. Resistance can be defined as the ratio of the voltage applied to current flow It can be written as
R = V / I
where R is resistance, V is voltage and I is current.
The resistance of the material depends on its resistivity and follows this equation
R = ρ . L / A
where ρ is resistivity, L is the length of the material and A is the surface.
From the question above, we know that
V = 4.5 V
L = 2.5 m
r = 0.654 mm = 6.54 x 10¯⁴ m
I = 17.6 A
Find the surface area
A = π . r²
A = π . ( 6.54 x 10¯⁴ )²
A = 1.34 x 10¯⁶ m²
Find the resistivity of the wire
R = V / I
ρ . 2.5 / (1.34 x 10¯⁶)= 4.5 / 17.6
ρ = 1.37 x 10¯⁷ Ωm
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On his fishing trip Justin rides in a boat 15 km south. The fish aren't biting, so they go 5 km west. They then follow a school of fish 1km north. What distance did they cover? What was their displacement?
The total distance covered is 21 km while their displacement is 14.87 km SouthWest.
Distance and displacementThe distance covered by a moving body is the product of the speed of movement and the total time taken.
Displacement, on the other hand, is the property of a body or an object to be moved from one place to another.
While distance is a scalar quantity, displacement is a vector quantity.
In this case, the total distance covered by Justing can be calculated as:
15 km + 5 km + 1 km = 21 km
The displacement can be calculated from the attached image:
[tex]hyp^2 = opp^2 + adj^2[/tex]
= [tex]14^2 + 5^2[/tex]
= 221
= 14.87 km
Thus, they have been displaced by 14.87 km from the starting point in the SouthWestern direction.
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Some rocks are pushed deeper into the earth. As these rocks experience greater heat and pressure, what type of rock will they turn into if they do not melt?.
Some rocks are pushed deeper into the earth. As these rocks experience greater heat and pressure, they will turn into metamorphic rocks if they do not melt.
Although they began as a different kind of rock, metamorphic rocks have undergone significant alteration from their igneous, sedimentary, or previous metamorphic forms. When rocks are exposed to extreme temperatures, high pressures, hot mineral-rich fluids, or, more frequently, some combination of these conditions, metamorphic rocks are created.
Metamorphic rocks, which have been exposed at the Earth's surface as a result of erosion and uplift, can be studied to learn more about the pressures and temperatures that exist at extremely deep levels of the crust. The metamorphic rocks gneiss, slate, marble, schist, and quartzite are a few examples.
The two classifications of metamorphic rocks are foliates and non-foliates. Micas and chlorites make up a sizable portion of foliates.
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The complete question is ''Some rocks are pushed deeper into the earth. as these rocks experience greater heat and pressure, what type of rock will they turn into if they do not melt?
a. molten
b. sedimentary
c. igneous
d. metamorphic
the maximum horizontal distance a boy can throw a ball is 45 m. assume he can throw with the seam initial speed at all angles. how high does he throw the ball when he throws it straigth upward
The boy can throw a ball with the same initial speed at all angles then the height of the ball traveled will be 12.6m
What are equation of motion?Equations of motion in physics are equations that explain how a physical system behaves in terms of how its motion changes over time. The behavior of a physical system is described in further detail by the equations of motion as a collection of mathematical functions expressed in terms of dynamic variables.
The three equations are,
v = u + at.
v² = u² + 2as.
s = ut + ½at²
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What is this scientific model illustrating?
Please help
Answer:
Water
Explanation:
There is one Oxygen Atom and two Hydrogen molecules. The molecule is Dihydrogen Monoxide, commonly known as water.
If the magnified cell had a diameter of 40mm on the computer screen using the 10x ocular lens with the 40x objective lens, what would be the actual diameter of the cell in millimeters?.
The actual diameter of the cell would be 0.1 mm.
How to find the actual diameter of the cell?The magnification caused by the ocular lens is 10x, while the magnification caused by the objective lens is 40x.
As a result, the entire setup will have a 400x overall magnification.
This signifies that a 400x magnification will be applied to an object with a diameter of x m.
The magnified cell in the aforementioned scenario has a diameter of 40 mm.
The amplified diameter is 400x when the true diameter is x.
Hence 400x = 40 mm x
= 40 mm/400x
= 0.1 mm
As a result, the cell's real diameter would be 0.1 mm.
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After Thanksgiving, Kevin and Gamal use the turkey's wishbone
to
make a wish. If Kevin pulls on it with a force 0.17 N a larger than
the force Gamal pulls
with in the opposite direction, and the
wishbone has a mass of 13
g, what is the wishbone's initial
acceleration?
The acceleration of the wishbone is 13.08 m/s².
What is acceleration?Acceleration is the rate of change of velocity. The S.I unit of acceleration is m/s².
To calculate the initial acceleration of the wishbone, we use the formula below.
Formula:
a = F/m............. Equation 1Where:
a = Acceleration of the wishbonem = Mass of the wishboneF = Net force.From the question,
Given:
F = 0.17 Nm = 13 g = 0.013 kgSubstitute these values into equation 1
a = 0.17/0.013a = 13.08 m/s²Hence, the acceleration of the wishbone is 13.08 m/s².
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A cat runs 13.1m in 8.0s. How long (in s) will it take the cat to run 5.5km?
The time cat will take to run 5.5km is 55.89 minutes.
Equation :according to given details,
distance = 13.1m
time = 8 s
speed = ?
distance (b) = 5.5km = 5500m
time = ?
speed = ?
So by using formula,
speed = distance / time
speed = 13.1m/8s
speed = 1.64 m/s
As now we have speed using same formula
s = d / t
t = d / s
t = 5500m / 1.64 m/s
t = 3,353.65 sec
t = 55.89 minutes
Speed, distance and time relativity :Speed is calculated as distance times speed. You need to be aware of the units for distance and time in order to calculate the units for speed. The units in this example will be metres per second (m/s), since the distance is measured in metres (m) and the time is measured in seconds (s).
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A motorcycle enters a freeway with a speed of 5.8 m/s and accelerates uniformly for 65 m in 7.2 s.
How fast is the car moving after this time?
The speed of the motorcycle is 9.02777m/s in 7.2 sec.
What is acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.
v(0) = 5.8
s(0)=0
s(7.2) = 65
s(t) =at^2/2 + v(0)t
s(7.2) = a(7.2)^2 + 5.8(7.2) = 65
a = (65-41.76)/51.84
a= 23.24/51.84 = about 0.4483 m/s²
v(t) = s'(t) = at +v(0) = at +5.8
v(7.2) = 0.4483(7.2) + 5.8
= 9.02777
velocity in 7.2 seconds is about 9.03 meters per second
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A star is moving directly towards earth at a large fraction of the speed of light. How does the light we observe from this star compare to the light received from the same star if it were at rest relative to earth?.
A star is moving directly toward earth at a large fraction of the speed of light. The light we observe from this star compared to the light received from the same star if it were at rest relative to earth will be blueshifted.
The elements of Earth are land, air, water, and life. Mountains, valleys, and flat places can all be found on the ground. Different gases, namely nitrogen and oxygen, make up the air. Rain, snow, ice, rivers, lakes, oceans, and streams are all examples of water. Doppler shift is the term used in physics to describe this phenomena, which is the alteration in wave frequency caused by an observer moving in respect to the source.
But much like the other planets, Earth is a planet that exists in space and is a part of the cosmos. It so happens that life exists here and that the conditions close to this planet's surface are favourable for life as we know it. The tiny, delicate planet Earth stands out in the universe.
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. A family leaves for an evening walk around the neighborhood. They leave at 5 pm and return at 6 pm. They traveled a total of 2.5 miles. What is their average speed?
6. It takes you 20 minutes to walk 1.5 miles to school. How far can you walk in one hour?
I need an explanation on how you got the answer.
The average speed of the family is 2.5 mph.
At the same speed used to walk to school, the distance traveled in one hour is 4.5 miles.
What is average speed?The average speed of an object is the total distance traveled by the object to the total time of motion of the object.
v = total distance / total time motion
total distance = 2.5 miles
total time = 6 pm - 5 pm = 1 hour
v = (2.5 miles) / (1 hour)
v = 2.5 mph
When it takes 20 minutes to walk 1.5 miles, the speed of the motion is calculated as follows;
time = 20 mins / 60 mins/hr = 0.333 hr
v = 1.5 miles / 0.333 hr = 4.5 mph
At this speed, the distance traveled in one hour is calculated as follows;
d = 4.5 mph x 1 hr
d = 4.5 miles
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The specific heat of the metallic element rhodium is 0. 240 j/g-k at 25°c. If 586 j of heat is added to an 80. 0 g block of rhodium metal that is initially at 25. 0°c, what is the expected final temperature of the block?.
Answer:
55.5 ° C
Explanation:
A unit of K and a degre C are the same increment
586 j / (80 g C ) = .240
C = 30.5 degree increase from 25 c = 55.5 ° C
. A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a
distance of 110 m. Determine the acceleration of the car.
The acceleration of the car is 4.05 m / s², if it accelerates uniformly over a period of 5.21 seconds for 110 meters.
We know that,
a = v / t
v = d / t
where,
a = Acceleration
v = Velocity
t = Time
d = Distance
Given that,
t = 5.21 s
d = 110 m
v = 110 / 5.21
v = 21.11 m / s
a = 21.11 / 5.21
a = 4.05 m / s²
Acceleration is the rate of change of velocity of an object over it period of movement. It is denoted as a.
Therefore, the acceleration of the car is 4.05 m / s².
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G a 240 v<0 source source supplies a balance, three-phase load in a delta configuration. the line current is 3 a<45. what is most nearly the magnitude of the complex power measured across the load
The magnitude of the complex power measured across the load is 1200VA.
What is the complex power?The rms voltage phasor and the complex conjugate of the rms current phasor are combined to create complex power (measured in VA). Real power P and reactive power Q make up the real and imaginary halves of a complicated variable.The phrase "Complex Power" refers to the complex sum of Real Power (P) and Reactive Power (Q). It can be written as S = P+jQ and is expressed in Volt Amps Reactive.Electrical power is essentially represented as a complex number by complex power. It is composed of real and imaginary parts, just like a complex number. The reactive power is represented by the imaginary part, whereas the active power is represented by the real part.The magnitude of the complex power measured across the load is 1200VA.
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a rocket sled having an initial speed of 160 mi/hr is slowed by a channel of water. assume that, during the breaking process, the acceleration a is given by a(v)
The equation of motion in terms of v and x is [tex]\frac{dv}{dx} = -\mu v[/tex]
What is velocity?Velocity is the directional speed of a moving item as an indication of its rate of change in position as seen from a specific frame of reference and measured by a specific time standard (e.g., 60 km/h northbound). The idea of velocity is crucial in kinematics, the part of classical mechanics that explains the motion of bodies.
A physical vector quantity called velocity requires both magnitude and direction to be defined. Speed is a coherent derived unit that expresses the scalar absolute value (magnitude) of velocity. Its quantity is expressed in SI units (metric system) of metres per second (m/s or ms1). For example, "5 meters per second" is a scalar while "5 meters per second east" is a vector.
Let [tex]v(t) = \frac{ds}{dt}[/tex] be the velocity of a time t . Now its time rate of change, [tex]\acute{v}[/tex] = [tex]\frac{dv}{dt}[/tex]
is the acceleration, Therefore,
⇒ [tex]a(t)=v^{\prime}(t)=\frac{d}{d t}\left(\frac{d s}{d t}\right)[/tex]
On the other hand, the acceleration will be given by
⇒ [tex]a = - \mu v^2[/tex]
Where [tex]\mu[/tex] is constant, thus
⇒ [tex]\frac{dv}{dt} = -\mu v^2[/tex]
Where is the motion equation expressed in terms of v and t We must now write it in terms of v and x. To accomplish this, we make use of the fact that
⇒ [tex]\frac{d v}{d t}=\frac{d v}{d x} \cdot \frac{d x}{d t}=v \frac{d v}{d x}[/tex]
We now substitute the acquired result into the supplied equation.
⇒ [tex]v \frac{d v}{d x}=\frac{d v}{d t}=-\mu v^2[/tex]
Divide the equation by v ≠ 0
⇒ [tex]\frac{dv}{dx} = -\mu v[/tex]
We have changed the provided equation of motion in terms of v and x in this manner.
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Full question
A rocket sled having an initial speed of 160 mi/h is slowed by a channel of water. Assume that, during the braking process, the acceleration a is given by
[tex]av = -\mu v^2[/tex]
where v is the velocity and \mu is a constant. (a) As in Example 4 in the text, use the relation
[tex]\frac{dv}{dt} = v\frac{dv}{dx}[/tex]
to write the equation of motion in terms of v and x.
Who developed the equation that allowed the energy of the electron to be described quantum mechanically?.
Erwin Schrödinger developed the equation that allowed the energy of the electron to be described quantum mechanically.
Who is Erwin Schrödinger?Erwin Schrödinger, an Austrian physicist, proposed that the behavior of electrons within atoms might be explained by considering them mathematically as matter waves, which was based on de Broglie's hypothesis that particles could display wavelike behavior.
The wave equation developed by Nobel Prize-winning Austrian physicist Erwin Schrödinger fundamentally altered the way quantum theory was thought about.
Schrodinger's famous Erwin Schrodinger equation, one of the pillars of quantum physics, was uncovered in 1926. He explained how a physical system's quantum state changes over time using differential equations.
The Schrödinger equation, which defines how the wave function, a quantity that characterizes a particle's wave characteristics, evolves, is the work of Erwin Schrödinger and is its most famous application.
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Covert 87 centimeters into meters
Answer:
Explanation:
g
Answer: 0.87m
Explanation: 100 centimeters equal to 1 meter or one centimeter equal to one-hundredth
An 18-year-old runner can complete a 10.0 km course with an average speed of 4.60 m/s. A 50-year-old runner can cover the same distance with an average speed of 4.13 m/s. How much later (in seconds) should the younger runner start in order to finish the course at the same time as the older runner?
Taking into account the definition of speed, the 18-year-old runner must start 247.3945 s after the 50-year-old runner in order to finish the course at the same time.
Definition of speedSpeed is a quantity that expresses the relationship between the space traveled by an object and the time used for it.
In other words, speed can be defined as the change of position of an object in space within a certain amount of time and can be calculated using the expression:
speed= distance traveled÷ time
Time in this caseIn this case, you know:
An 18-year-old runner can complete a 10 km (10000 m, being 1 km equals to 1000 m) course with an average speed of 4.60 m/s. A 50-year-old runner can cover the same distance (10 km) with an average speed of 4.13 m/s.Replacing these values in the speed definition, it is possible to obtain the time that each runner needs to complete the race:
18-year-old runner: 4.60 m/s= 10000 m÷time50-year-old runner: 4.13 m/s= 10000 m÷timeSolving:
18-year-old runner: 4.60 m/s×time= 10000 m → time= 10000 m÷ 4.60 m/s → time= 2173.9130 s50-year-old runner: 4.13 m/s× time= 10000 m → time= 10000 m÷ 4.13 m/s → time= 2421.3075 sTo know the amount of time after which the youngest runner must start to finish the course at the same time as the oldest runner, the difference between the time it takes each runner to finish the course must be made:
difference of time= time of the 50-year-old runner - time of 18-year-old runner
difference of time= 2421.3075 s - 2173.9130 s
difference of time= 247.3945 s
Finally, the 18-year-old runner must start 247.3945 s after the 50-year-old runner in order to finish the course at the same time.
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Which statement belongs to Dalton’s atomic theory?
Atoms have a massive, positively charged center.
Atoms cannot be created or destroyed.
Atoms can be broken down into smaller pieces.
Electrons are located in energy levels outside of the nucleus.
The correct answer is Atoms cannot be created or destroyed.
Every element in space is made up of tiny, indivisible particles, which are invisible to the unaided eye, according to Dalton's atomic theory. These objects are referred to as atoms. Because "Atoms cannot be made nor destroyed by the human being," they are indestructible. The behaviour of an atom in one element differs from the behaviour of atoms in all other elements even though all the elements in an atom have the same mass.The leading philosophers of the day disagreed with Dalton's theory since it had some flaws. In that case, Aristotle fully disagreed, asserting that matter consisted of the four elements earth, wind, water, and fire. Scientists then adopted this view. The scientific community had now accepted atomic theory, but J. J. Thomson's finding in 1897 led to the next development. In his hypothesis, he described atoms as equally packed spheres of positively charged material that are filled with negatively charged electrons.
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Mass X (2 kg) and mass Y (1 kg) are dropped from a tall building at the same time. After one second, X will be moving
Answer:
See below
Explanation:
Ignoring air friction...X will be moving the same speed as Y
vf = at
= 9.81 m/s^2 * 1 s = 9.81 m/s
when the car comes to a sudden stop, the passenger __________
Continues decelerate
a piano wire with mass 3.50 g and length 75.0 cm is stretched with a tension of 27.0 n . a wave with frequency 120 hz and amplitude 1.70 mm travels along the wire.
The average power is 0.1570 W.
Piano wire weighs 3.50 g.
Size: 83.0 cm
Tension = 35.0 N
120 Hz is the frequency.
Suppose we need to determine the average power carried by the wave with an amplitude of 1.20 mm.
We need to calculate the angular frequency
Using formula of frequency
ω = 2[tex]\pi[/tex]f
ω = 753.9 rad/sec
We need to calculate the linear density
Using formula of linear density
μ = M/l
μ = [tex]4.21[/tex] ×[tex]10^{-3}[/tex] kg/m
We need to calculate the average power
[tex]P_{avg}[/tex] = 0.1570 W
What is power ?Physics refers to power as the amount of energy that is transferred or transformed per unit of time. In the International System of Units, the unit of power is the watt, or one joule per second. In ancient literature, activity is another word for power.
Power is correlated with other factors; for instance, the power required to move a ground vehicle is a function of the vehicle's velocity and the traction force acting on its wheels. A motor's output power is calculated by multiplying its torque output by the angular velocity of its output shaft. The power lost by an electrical component in a circuit is also a function of the voltage across the component and the current that flows through it.
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Write 1.47 X 10^3 m/s, the speed of sound in water, in standard notation
The speed of the sound in standard notation is 1,470 m/s.
What is standard notation?
A standard notation is a form of writing a given number, an equation, or an expression in a form that follows certain rules.
The speed of the sound in water can be written in standard notation as follows;
1.47 X 10^3 m/s = 1,470 m/s
Thus, the speed of the sound in standard notation is 1,470 m/s.
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what is the magnitude of an electric field in which the electric force on a proton is equal in magnitude to its weight? use 1.67×10−27 kgkg for the mass of a proton, 1.60×10−19 cc for the magnitude of the charge on an electron, and 9.80 m/s2m/s2 for the magnitude of the free-fall acceleration.
The magnitude of the electric field is 1.023 * [tex]10^{-7}[/tex] N / C
We know that,
F = m g
F = q E
where,
F = Force
m =Mass
g = Acceleration due to gravity
q = Charge of an electron
Given that,
m = 1.67 * [tex]10^{-27}[/tex] kg
q = 1.6 * [tex]10^{-19}[/tex] C
g = 9.8 m / [tex]s^{2}[/tex]
F = m g = 1.67 * [tex]10^{-27}[/tex] * 9.8
F = 16.37 * [tex]10^{-27}[/tex] N
F = q E
E = 16.37 * [tex]10^{-27}[/tex] / 1.6 * [tex]10^{-19}[/tex]
E = 1.023 * [tex]10^{-7}[/tex] N / C
Electric field is the field surrounding an electrically charged particle. If any other charged particle enters the field, it exerts force on the particle.
Therefore, the magnitude of the electric field is 1.023 * [tex]10^{-7}[/tex] N / C
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Ty works two jobs and attends college part-time. he averages 5 hours of sleep per night most nights of the week. what are the health risks of his sleep deprivation?
The health risks include Health Effects of Sleep Loss, Poor glucose tolerance and diabetes.
Both adults and kids who are obese.
Vascular disease and high blood pressure.
Anxiety signs.
Depressed attitude
Using alcohol.
What negative impacts might a lack of sleep cause?Sleep deprivation can leave you cranky and confused. Many people might not be aware of the potential effects on your capacity to lose weight, memory, health, and even your sexual life.
You run the risk of developing heart disease if you have sleep disorders or persistent sleep deprivation.
Chest pains.
A heart attack.
Abnormal heartbeat
Elevated blood pressure
Stroke.
Which five consequences might insomnia have?Chronic sleep deprivation has been linked to high blood pressure, heart attacks, strokes, obesity, diabetes, depression, anxiety, impaired brain function, memory loss, weakened immune system, and lower levels of energy.
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A car moving with an initial speed of 16 meters per second is brought to rest uniformly in 4. 0 seconds. How far does the car travel during this 4. 0-second interval?.
The car in a time of 4 seconds will travel a distance of: 32 m
The formulas for uniformly varied rectilinear motion (UVRM) and procedures we will use to solve this exercise are:
a = (vf - vi) /tx = (vf²-vi²)/ (2a)Where:
x = distancevf = final velocityvi = initial velocitya = accelerationt= timeInformation about the problem:
vi = 16 m/svf= 0 m/st = 4 sa = ?x= ?Applying the acceleration formula we have:
a = (vf - vi) /t
a = (0 m/s - 16 m/s) /4 s
a = (-16 m/s) /4 s
a = -4 m/s²
Acceleration is negative because the car is decelerating
Applying the distance formula, we get:
x = (vf²-vi²)/ (2a)
x = [(0 m/s)²- (16 m/s)²]/ (2 * -4 m/s²)
x = (0 m²/s²- 256 m²/s²)/ -8 m/s²
x = -256 m²/s²/ -8 m/s²
x = 32 m
What is acceleration?It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2
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what is the average velocity of an object which changes it's displacement by 3.50 meters in a time of 1.20 seconds?
The average velocity of an object which changes it's displacement by 3.50 meters in a time of 1.20 seconds is 2.92 m / s
v = Δx / t
v = Average velocity
Δx = Displacement
t = Time
Δx = 3.5 m
t = 1.2 s
v = 3.5 / 1.2
v = 2.92 m / s
Average velocity is the average value of velocity of an object in a given amount of time. It is denoted as v.
Therefore, the average velocity of an object which changes it's displacement by 3.50 meters in a time of 1.20 seconds is 2.92 m / s
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equ1.consider two springs a and b hanging from a pole. spring a extends 9.5 cm when 510 g is hung from it. spring b extends 0.95 mm when 5.1 kg is hung from it. a) determine the spring constant of each spring. b) explain which spring is stiffer.ation for kinetic energy
The value of spring constant for spring a and spring b is 531.70 and 52610.52 respectively. As the value of spring constant for Spring b is greater than a, So it is more stiffer.
What is spring constant?A spring's "spring constant" is a property that quantifies the relationship between the force acting on the spring and the displacement it produces. In other words, it characterizes a spring's stiffness and the extent of its range of motion.
a) For spring a,
Given, the extended length = 9.4cm = 0.094m
mass = 510 g = 0.51kg
For spring b,
The extended length = 0.95mm = 0.00095m
mass = 5.1 kg
The force acting on both springs will be -
For spring a,
F = mg (taking g = 9.8m/s²)
where m = mass and g = acceleration due to gravity
= 0.51 × 9.8
= 4.998N
Similarly, for spring b,
F = mg
= 5.1 × 9.8
= 49.98N
The Hooke's law gives us -
F = - Kx
We are to calculate K here,
k = F / x
k = 4.998 / 0.0094
k = 531.70
The value of spring constant for Spring a = 531.70
For spring b,
k = F/x
k = 49.98 / 0.00095
k = 52610.52
The value of spring constant for Spring b = 531.70
b) As the value of spring constant for Spring b is greater than a, So it is more stiffer.
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two point charges are brought closer together, increasing the magnitude of the electrostatic force between them by a factor of . by what factor was their separation decreased?
Distance between them is decrease by an element of 0.21
Evaluating :
Two point charges are brought closer together, increasing the force by an element of 22
Let the first force be
F = [tex]\frac{kq_{1} q_{2} }{r^{2} } ...........1[/tex]
where q₁ q₂ are charges and r is that the distance between new force F' = [tex]\frac{Kq_{1} q_{2} }{r^{2} } ................2[/tex]
divide equation 1 & 2
[tex]\frac{F}{F'}[/tex] = [tex]\frac{r^{2} }{r'^{2} }[/tex]
[tex]22= \frac{r^{2} }{r'^{2} }[/tex]
r' = [tex]\frac{r}{\sqrt{22} }[/tex] ≈0.213r
F₁ represents the first electric force between the two point charges.
F₂ represents the new electric force between the 2 point charges.
r₁ represents the first separation distance between the two point charge.
r₂ represents the new separation distance between the 2 point charge.
Distance between them is decrease by an element of 0.21
Electric Force:
The term 'electric force' exists when two or more electric charges are situated at a specific distance. The variation of electrical force with point charge magnitude is a linear one, whereas the variation of electrical force with the separation distance between the charges is an inversely square one.
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