Answer:
μ = 0.37
Explanation:
For this exercise we must use the translational and rotational equilibrium equations.
We set our reference system at the highest point of the ladder where it touches the vertical wall. We assume that counterclockwise rotation is positive
let's write the rotational equilibrium
W₁ x/2 + W₂ x₂ - fr y = 0
where W₁ is the weight of the mass ladder m₁ = 30kg, W₂ is the weight of the man 700 N, let's use trigonometry to find the distances
cos 60 = x / L
where L is the length of the ladder
x = L cos 60
sin 60 = y / L
y = L sin60
the horizontal distance of man is
cos 60 = x2 / 7.0
x2 = 7 cos 60
we substitute
m₁ g L cos 60/2 + W₂ 7 cos 60 - fr L sin60 = 0
fr = (m1 g L cos 60/2 + W2 7 cos 60) / L sin 60
let's calculate
fr = (30 9.8 10 cos 60 2 + 700 7 cos 60) / (10 sin 60)
fr = (735 + 2450) / 8.66
fr = 367.78 N
the friction force has the expression
fr = μ N
write the translational equilibrium equation
N - W₁ -W₂ = 0
N = m₁ g + W₂
N = 30 9.8 + 700
N = 994 N
we clear the friction force from the eucacion
μ = fr / N
μ = 367.78 / 994
μ = 0.37
4. Answer the following questions in terms of a wave's frequency, wavelength, amplitude, and
energy.
a. Describe the characteristics of a high pitch wave.
b. Describe the characteristics of a high-volume wave.
a. A high-pitch wave is characterized by a high frequency and a short wavelength. The frequency determines the pitch of the sound, with higher frequencies corresponding to higher pitches.
The wavelength is the distance between two consecutive peaks or troughs of the wave and is inversely proportional to the frequency. Therefore, a high-pitch wave has a shorter wavelength.
The amplitude of the wave, which is the height of the peak or the depth of the trough, is not directly related to the pitch of the sound, but it does determine the volume or intensity of the sound.
b. A high-volume wave is characterized by a high amplitude and a relatively long wavelength. The amplitude determines the volume or intensity of the sound, with higher amplitudes corresponding to louder sounds.
The wavelength of the wave does not directly affect the volume of the sound, but it can affect how the sound is perceived in different environments.
In general, longer wavelengths are more effective at traveling through obstacles such as walls and are better at penetrating long distances, whereas shorter wavelengths are more easily scattered and attenuated in the atmosphere.
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Consider the circuit in Figure 5 with e(t) = 12sin(120pit) V. When S1 and S2 are
open, i leads e by 30°. When SI is closed and S2 is open, i lags e by 30°. When S1 and S2 are closed, i has an amplitude 0.5A. What are R, L, and C?
Based on the information, it should be noted that the resistance R is 0.5 Ω.
How to calculate the resistanceWhen S1 and S2 are open, i leads e by 30°. In this case, the circuit consists of only the inductor (L) and the capacitor (C) in series. Therefore, the impedance of the circuit can be written as:
Z = jωL - 1/(jωC)
Since i leads e by 30°, we can express the phasor relationship as:
I = k * e^(j(ωt + θ))
Z = jωL - 1/(jωC) = j(120π)L - 1/(j(120π)C)
Re(Z) = 0
By equating the real parts, we get:
0 = 0 - 1/(120πC)
Let's assume that there is a resistance (R) in series with the inductor and capacitor. The impedance equation becomes:
Z = R + jωL - 1/(jωC)
Z = R + jωL
Im(Z) = ωL > 0
Substituting the angular frequency and rearranging the inequality, we have:
120πL > 0
L > 0
This condition implies that the inductance L must be greater than zero.
When S1 and S2 are closed, i has an amplitude of 0.5 A. In this case, the impedance is:
Z = R + jωL - 1/(jωC)
Since the amplitude of i is given as 0.5 A, we can express the phasor relationship as:
I = 0.5 * e^(j(ωt + θ))
By substituting this phasor relationship into the impedance equation, we can determine the value of R. The real part of the impedance must be equal to R:
Re(Z) = R
Since the amplitude of i is 0.5 A, the real part of the impedance must be equal to 0.5 A: 0.5 = R
Therefore, the resistance R is 0.5 Ω.
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. If two vectors are equal, what can you say about their components?
Answer:
If two vectors are equal, their components are also equal. For example, vector A and B both share the same x, y, and z components. By having the same components, the magnitude and direction does not change, which attest to how the vectors are identical.
So, if two vectors are equal, their components are also equal.
In vector mathematics, when two vectors are equal, it means their corresponding components are also equal. Thus, the magnitude and direction of the two vectors must be identical.
Explanation:In the world of mathematics, specifically vector mathematics, if two vectors are equal, that means their corresponding components are also equal. A vector is typically described by its individual components which are its magnitude (size) and direction.
For example, if vector A and vector B are equal, and vector A = \((x_1, y_1)\) and vector B = \((x_2, y_2)\), then\(x_1 = x_2\) and \(y_1 = y_2\). This applies to vectors in two-dimensional and three-dimensional spaces as well. Therefore, equality in vectors involves the same direction and magnitude causing the corresponding components to be equal.
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a stone dropps 7,11m how long will it take it to fall
The time it takes the stone to fall from a height of 7.11 m is 1.2 seconds.
What is time?Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.
To calculate the time it takes the stone to drop from an height of 7.11 m, we use the formula below.
Formula:
H = ut+gt²/2............ Equation 1Where:
H = Heightu = Initial velocityt = Timeg = Acceleration due to gravityFrom the question,
Given:
u = 0 m/sH = 7.11 mg = 9.8 m/s²Substitute these values into equation 1 and solve for t.
7.11 = (0×t)+9.8×t²/27.11 = 4.9t²t² = 7.11/4.9t² = 1.451t = √1.451t = 1.2 secondsHence, the time it takes the stone to fall is 1.2 seconds.
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You know you can provide 600 W
of power to move large objects. You need to move a 60-kg
safe up to a storage loft, 18 m
above the floor.
Part A
With what average speed can you pull the safe straight up?
A. The average speed you can use to pull the safe is 1.02 m/s
B. The time needed to pull the safe up is 17.65 s
A. How do i determine the velocity?First, we shall obtain the force. This is shown below:
Mass of safe (m) = 60 KgAcceleration due to gravity (g) = 9.8 m/s² Force (F) =?F = mg
F = 60 × 9.8
F = 588 N
Finally, we shall obtain the average speed. Details below:
Power = 600 WForce = 588 NAverage speed =?Power = force × average speed
600 = 588 × average speed
Divide both sides by 588
Average speed = 600 / 588
Average speed = 1.02 m/s
B. How do i determine the time?The time needed to pull the safe up can be obtained as follow:
Average speed = 1.02 m/sTotal distance = 18 mTime = ?Time = Total distance / average speed
Time = 18 / 1.02
Time = 17.65 s
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Complete question:
You know you can provide 600 W
of power to move large objects. You need to move a 60-kg
safe up to a storage loft, 18 m
above the floor.
Part A
With what average speed can you pull the safe straight up?
Part B
What is the time needed to pull the safe up?
A block of mass 8 m can move without friction
on a horizontal table. This block is attached
to another block of mass 34 m by a cord that
passes over a frictionless pulley.
If the masses of the cord and the pulley
are negligible, what is the magnitude of the
acceleration of the descending block?
Answer:
Let M1 = 8 kg and M2 = 34 kg
F = M a = (M1 + M2) a
F = M2 g the net force accelerating the system
M2 g = (M1 + M2) a
a = M2 / (M1 + M2) g = 34 / (42) g = .81 g = 7.9 m/s^2
One of the basic rules of science is
that it can change if new information is discovered.
Use what you know about the solar system, how has the geocentric
model of the solar system changed over time?
A. Jupiter is no longer at the center
B. a black hole is no longer at the center
C. the Earth is no longer at the center
D. the Sun is no longer at the center
Aria is riding her bike. She is bent slightly over, holding onto her handlebars. She wants to go faster. Which best explains what she should do? She should bend her hips so her head is closer to the handlebars. She should sit straight up on the bike, keeping her arms tight to her body. She should spread her arms wide while sitting straight in her seat. She should flap her arms up and down like a bird.
Answer:
She should bend her hips so her head is closer to the handlebars
Explanation:
Answer:
Yea its A
Explanation:
What is the resistance over the bulb?
The resistance over the bulb in the circuit set up as shown in the diagram is 30 Ω.
What is resistance?Resistance can be defined as the opposition to current flow in a circuit.
To calculate the resistance over the bulb, we use the formula below.
Formula:
R = V/I........... Equation 1Where:
R = Resistance over the bulbV = Voltage across the bulb's terminalsI = Current flowing through the bulb.
From the diagram,
Note: Since the bulb and the 60 Ω resistor are connected in parallel, therefore,
The voltage across the bulb = The voltage across the 60 Ω resistorFrom the diagram,
Given:
I = 0.20 AV = 60×0.1 (Voltage across the bulb is equal to voltage across the 60 Ω resistor)V = 6 VSubstitute these values into equation 1
R = 6/0.2R = 30 ΩHence, the resistance over the bulb is 30 Ω.
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What is the Radiation left over from the big bang called?
Answer:
The Big Bang theory predicts that the early universe was a very hot place and that as it expands, the gas within it cools. Thus the universe should be filled with radiation that is literally the remnant heat left over from the Big Bang, called the “cosmic microwave background", or CMB.
Explanation:
The Big Bang theory suggest that the universe in early stage was at very hot place and which can be expanded, the gas within it cools. It is in an infinite universe and it has no edge.
What is big bang theory ?The Big Bang theory is a cosmological model which explain the existence of the observable universe from the earliest periods to the large-scale evolution.
The model describes the mechanism behind the universe expansion from an initial state of high density and temperature, it is very important concept as a lot of research is going on in this field to find out exactly how the universe began billions of years ago.
The universe began to cool down in order to allow the formation of particles become atoms after its initial phase of expansion, Primordial elements such as Hydrogen, Helium, and Lithium are condensed through gravity are formed early stars and galaxies.
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As the amount of charge on either of two charged objects increases, the electric force between the objects decreases.
O True O False
Answer:
False.
Explanation:
provided the distance between the forces remains the same, the force will increase with increased charge, whether attractive or repulsive.
7N
6
→ 2N
Net Force:
Determine the net force acting on the object.
Answer:
When a force is applied to the body, not only is the applied force acting, there are many other forces like gravitational force Fg, frictional force Ff and the normal force that balances the other force. Therefore, the net force formula is given by, FNet = Fa + Fg + Ff + FN.
Explanation:
The setup time of a clocked flip-flop is:
A) The minimum amount of time that an input must remain stable after an active clock
transition.
B) The maximum amount of time that an output must remain stable after an active clock
transition.
C) The minimum amount of time that an output must remain stable before an active clock
transition.
D) The minimum amount of time that an input must remain stable before an active clock
transition.
The setup time of a clocked flip-flop is:
The minimum amount of time that an output must remain stable before an active clock transition.
What is a Flip flop ?A flip-flop is a device that can hold a single bit of data (a binary digit); one of its two states corresponds to a "one," and the other to a "zero." Such data storage can be used to store state, and in electronics, such a circuit is known as sequential logic.
The output state changes of a timed flip-flop can be synced to a clock pulse thanks to an additional input.
Data must be at a valid logic level at setup time (tS), which is defined as the time before the DAC clock shift.
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What is albedo? What on Earth has high albedo?
Answer:
The fraction of incident light or radiation reflected by a surface or body, commonly expressed as a percentage.
2.
biology The whitish inner portion of the rind of citrus fruits that is a source of pectin, commonly referred to as the pith.
Explanation:
An organ pipe of length L has one end closed but the other end open. What is the wavelength of the fundamental node emitted?
a. Slightly smaller than 4 L
b. Slightly larger than 4 L c. Roughly equal to 3/2
d. Slightly larger than 2 L
Answer:analize a afirmacao a seguir e tudo que envolve o gerenciamento da marca e que ultrapassa as acoes com objetivos economicos e refere se a cultura principios e valores
Explanation:
This 200-kg horse ran the track at a speed of 5 m/s. What was the average kinetic energy?
Answer:
2500 JExplanation:
The average kinetic energy can be found by using the formula
\(k = \frac{1}{2} m {v}^{2} \\ \)
m is the mass
v is the velocity
From the question we have
\(k = \frac{1}{2} \times 200 \times {5}^{2} \\ = 100 \times 25\)
We have the final answer is
2500 JHope this helps you
what is the most effortless walking speed for a person with 90cm long legs if the length of each step is 90cm
Answer:
75 cm/second.
Explanation:
Formula:
Walking speed = stride length / time per step
Walking speed = 90cm/time per step
= 90cm/1.2 seconds (a common estimate time per step)
= 75cm/second.
if the dissipated power between a and b equal 210 watt then VB equal
Answer:
correct answer is A
Explanation:
The diagram shows a series circuit with three resistors and two power sources.
In a series circuit the current through the entire circuit is constant and the resistance is the sum of the resistances in the circuit.
When the power sources are placed in opposite position the voltage between them is subtracted.
V_b - 30 = I (10 + 4 + 6)
V_b = I (20) - 30
V_b = 30 - 2 20
V_b = 10 V
the correct answer is A
A 56-dB sound wave strikes an eardrum whose area is 5.0×10−5m2. The intensity of the reference level required to determine the sound level is 1.0×10−12W/m2. 1yr=3.156×107s.
a. How much energy is absorbed by the eardrum per second?
b. At this rate, how long would it take the eardrum to receive a total energy of 1.0 J ?
a ) The energy absorbed by the eardrum per second = 5 * \(10^{-12}\) W
b ) At this rate, it would take the eardrum 6341.96 years to receive a total energy of 1.0 J
P = I A
P = Power
I = Intensity
A = Surface area
β = 10 log I / Io
log I / Io = β / 10
I / Io = 10 ^ ( β / 10 )
I = Io * 10 ^ ( β / 10 )
A = 5 * \(10^{-5}\) m²
Io = 1 * \(10^{-12}\) W / m²
β = 50 dB
I = 1 * \(10^{-12}\) * 10 ^ ( 50 / 10 )
I = \(10^{-7}\) W / m²
P = 5 * \(10^{-5}\) * \(10^{-7}\)
P = 5 * \(10^{-12}\) W
P = W / t
W = Work done
t = Time
W = 1 J
t = W / P
t = 1 / 5 * \(10^{-12}\)
t = 0.2 * \(10^{12}\) s
t = 6341.96 years
Therefore,
a ) The energy absorbed by the eardrum per second = 5 * \(10^{-12}\) W
b ) At this rate, it would take the eardrum 6341.96 years to receive a total energy of 1.0 J
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When contractors laid the concrete slabs on the ground, they will always leave gaps in between
the concrete slabs as shown in the picture below.
concrete
slabs
gaps
(c) Explain why do contractors leave gaps in between the concrete slabs.
[1m]
Answer: To let water drain between them
Explanation: If there was no gaps the water would biuld up when it rain and create puddles
Four passengers with combined mass 250 kg compress the springs of a car with worn out shock absorbers by 4.00cm when they enter it. Model the care and passengers as a single body on a single ideal spring. If the loaded has a period of vibration of 1.08 s, what is the period of vibration of the empty car?
Answer:
The time period of the empty car will be "1.00 s".
Explanation:
The given values in the question will be:
Mass,
m = 250 kg
Loaded car's time period will be:
T = 1.08 s
Shock absorbers compression,
x = 4 cm
or,
= 0.04 m
Now,
Weight of passengers will be:
⇒ \(F=mg\)
\(=250\times 9.8\)
\(=2450 \ N\)
The spring constant of shock absorbers will be:
⇒ \(k=\frac{F}{x}\)
\(=\frac{2450}{0.04}\)
\(=61.250 \ N/m\)
As we know,
Time period, \(T = 2 \pi\sqrt{\frac{M}{k} }\)
On substituting the values, we get
\(1.08=2\pi \sqrt{\frac{M}{61250} }\)
\(\frac{M}{61250}=0.02955\)
\(M=0.02955\times 61250\)
\(=1809.6 \ kg\) (Total mass of car as well as its passengers)
Now,
The mass of the empty car will be:
⇒ \(m'=M-m\)
\(=1809.6-250\)
\(=1559.6 \ kg\)
hence,
The time period of empty car will be:
⇒ \(T'=2\pi\sqrt{\frac{m'}{k} }\)
\(=2\pi\sqrt{\frac{1559.6}{61250} }\)
\(=2\pi \sqrt{0.0254}\)
\(=1.003 \ s\)
or,
\(=1.00 \ s\)
I’ve been struggling with this question, help!
The masses of the two objects MA and MB in the binary system are 4 Mo respectively.
How can the masses of the binary systems be calculated?The masses of binary systems can be calculated using Kepler's laws of planetary motion and observations of the system.
Let's denote the masses of the two objects as MA and MB, where MA is the mass of object A and MB is the mass of object B. We know that the total mass of the binary system is 8 Mo, so:
MA + MB = 8 Mo
We also know that the ratio of the distances between the two objects is 1/3. Let's denote the distance between the two objects as d, so we have:
d(A to B) / d(Binary System) = 1/3
We can simplify this equation by using the fact that the distances between the objects and the binary system add up to the total distance between the objects:
d(A to B) + d(B to binary system) = d(Binary system)
Since we know the ratio of the distances, we can substitute 1/3d for d(B to binary system):
d(A to B) + 1/3d = d(Binary system)
3d(A to B) + d = 3d(Binary system)
Substituting d(A to B) for d(Binary system) - d(B to binary system), we get:
3d(A to B) + d = 3(d(A to B) + d(B to binary system))
2d(A to B) = 2d(B to binary system)
d(A to B) / d(B to binary system) = 1
So the two objects are at the same distance from the binary system center of mass. This means that the masses of the two objects are equal:
MA = MB
Substituting this into the first equation, we get:
2MA = 8 Mo
MA = MB = 4 Mo
Therefore, the mass of each object is 4 Mo.
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For question 11: the cutoff on the top right says "mercury but not as deeply as before."
When the rest of a half-filled container containing a steel ball floating on the surface of the mercury is filled with water, the ball remains partially submerged in mercury but not as deeply as before.
How does the density of a substance determine whether it floats or sinks in a liquid?Whether a substance will float or sink in a liquid is determined by its density relative to the density of the liquid.
If the density of the substance is less than the density of the liquid, it will float because it is less dense than the liquid and will experience a buoyant force that is greater than its own weight. If the density of the substance is greater than the density of the liquid, it will sink because it is denser than the liquid and will experience a buoyant force that is less than its own weight.
For example, water will float on mercury since it is less dense than mercury.
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Complete question:
Consider a steel ball floating on the surface of the mercury in a half-filled container.
What happens when the rest of the container is filled with water? Mercury is denser than steel, and both are denser than water. Mercury and water do not mix.
1. The ball remains partially submerged in mercury to exactly the same depth as before.
2. The ball Boats to the surface of the water.
3. Mercury floats on top of the water, and the ball floats on the mercury's surface
4. The ball remains partially submerged in mercury but not as deeply as before.
5. The ball sinks to the bottom of the container
6. The ball remains partially submerged in mercury to a greater depth than before.
A sample of an ideal gas has a volume of 0.0100 m^3, a pressure of 100 x 10^3 Pa, and a temperature of 300K. What is the number of moles in the sample of gas?
Answer:
Explanation:
pV = nrT
n = PV/RT
n = (100*10^3)(.01)/(300*0.082057)
n = 40.62 moles
The diagram shows the electric field lines due to two charged parallel metal plates. We conclude
that:
a.
an electron at X could have its weight balanced by the electrical force
b.
a proton at X experiences a greater force than if it were placed at Z
c.
the upper plate is positive and the lower plate is negative
d.
a proton at X experiences less force than if it were placed at Z
e.
a proton at X would experience the same force if it were placed at Y
Based on the given diagram, we can only reasonably conclude statement c, that the upper plate is positive and the lower plate is negative
What is Electric Field?
Electric field is a concept used in physics to describe the influence that an electric charge exerts on other charges in its vicinity. It is defined as the force experienced by a positive test charge placed in the vicinity of an electric charge, divided by the magnitude of the test charge
The upper plate is positive and the lower plate is negative: This statement is a common convention for charged parallel metal plates in a capacitor. The positive plate is usually considered as the plate with electric field lines originating from it (in this case, the upper plate), and the negative plate is usually considered as the plate with electric field lines terminating on it (in this case, the lower plate). So, this statement is likely to be true based on convention.
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What are two reasons early astronomers developed the geocentric model of
the solar system?
A. The model could explain why all the stars move in the same way
across the sky.
B. The model could explain why moons revolve around other planets
and not around the Sun.
C. The model could explain the apparent motions of the Sun and
Moon across the sky.
D. The model could explain the apparent backward motion of some
of the planets in the sky.
The two reasons early astronomers developed the geocentric model of the solar system are:
C. The model could explain the apparent motions of the Sun and Moon across the sky.
D. The model could explain the apparent backward motion of some of the planets in the sky.
The geocentric model, also known as the Ptolemaic model, was a model of the solar system in which the Earth was at the center and the Sun, Moon, and planets revolved around it. This model was developed by the ancient Greeks and was widely accepted for many centuries. It was able to explain the apparent daily motion of the stars and the annual motion of the Sun across the sky, as well as the apparent backward motion of some of the planets, known as retrograde motion. However, it was eventually superseded by the heliocentric model, which placed the Sun at the center of the solar system and was able to better explain the observed motions of the planets.
Answer:
C And A
Explanation:
Hope this helps. Take care and have a good day
a single conservative force Fx= (2x+7) N acts on a particle of mass 6 kg as the particle moves along the X-axis from X1 = 1 m to X 2 = 5m. calculate the work done by this force
Answer:
To calculate the work done by a force, we can use the formula:
Work = ∫F dx
In this case, the force is given by Fx = (2x + 7) N, and the particle moves along the X-axis from X1 = 1 m to X2 = 5 m. Let's calculate the work done.
Work = ∫(2x + 7) dx
Integrating the function (2x + 7) with respect to x, we get:
Work = (x^2 + 7x) evaluated from X1 to X2
Plugging in the values X2 = 5 and X1 = 1 into the expression, we have:
Work = (5^2 + 7 * 5) - (1^2 + 7 * 1)
= (25 + 35) - (1 + 7)
= 60 - 8
= 52
Therefore, the work done by the force is 52 Joules (J).
Explanation:
What is the force required to accelerate a 500 kg object at a rate of 10 m/s^2?
Answer:
Therefore, the force required to accelerate a 500 kg object at a rate of 10 m/s^2 is 5000 Newtons (N).
Explanation:
The force required to accelerate an object can be calculated using the formula:
force = mass x acceleration
where "mass" is the mass of the object being accelerated, and "acceleration" is the rate at which the object's velocity is changing.
In this case, the mass of the object is 500 kg, and the acceleration is 10 m/s^2. Plugging these values into the formula gives:
force = mass x acceleration
force = 500 kg x 10 m/s^2
force = 5000 N
Therefore, the force required to accelerate a 500 kg object at a rate of 10 m/s^2 is 5000 Newtons (N).
a spring is hanging from the ceiling. attaching a 560 gg physics book to the spring causes it to stretch 25 cmcm in order to come to equilibrium.part awhat is the spring constant?express your answer with the appropriate units.view available hint(s)for part aactivate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value typekk
The value of the spring constant is 8704 N/m.
The spring constant (k) can be found using Hooke's law, which states that the force required to stretch or compress a spring is proportional to the distance it is stretched or compressed.
Mathematically, it can be expressed as:
F = -kx
where F is the force applied to the spring,
k is the spring constant, and
x is the distance the spring is stretched or compressed.
Since the force applied to the spring is equal to the weight of the book, we can write:
F = mg = -kx
where m is the mass of the book and
g is the acceleration due to gravity.
Substituting the given values, we get:
560 g * 9.8 m/s^2 = -k * 0.25 m
Dividing both sides by -0.25 m and solving for k,
we will get it as:
k = (560 g * 9.8 m/s^2) / 0.25 m
k= 8704 N/m
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Two small nonconducting spheres have a total charge of Q = Q1 +Q2 = 91.0 pC, Q1 < Q2. When placed 32.0 cm apart, the force each exerts on the other is 12.0 N and is repulsive.
a) what is the charge of Q1
b) what is the charge of Q2
c) what would Q1 be if forces attract
d) what would Q2 be if forces attract