The balanced nuclear equation for the beta decay of europium-157 is:
157/63Eu -> 157/64Gd + 0/-1e
In this equation, europium-157 (157/63Eu) undergoes beta decay, emitting a beta particle (0/-1e) and transforming into gadolinium-157 (157/64Gd). The beta particle represents an electron (e-) that is emitted from the nucleus during the decay process. The atomic numbers and mass numbers are conserved in the equation, indicating that the total number of protons and neutrons on both sides remains the same. The decay of europium-157 through beta decay results in the formation of gadolinium-157.
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If a car travels 10 km north and then 10 km west, what is the MAGNITUDE of
displacement?
Answer:
The magnitude of the displacement is \(H = 14.14 \ km\)
Explanation:
From the question we are told that
The distance of the car to north is d = 10 km
The distance of car to the west is w = - 10 \ km
The negative sign is because the direction is west
Generally applying Pythagoras theorem , the displacement is
\(H = \sqrt{d^2 + w^2}\)
=> \(H = \sqrt{(10)^2 + (-10)^2}\)
=> \(H = 14.14 \ km\)
On your first trip to Planet X you happen to take along a 200 gg mass, a 40-cmcm-long spring, a meter stick, and a stopwatch. You're curious about the acceleration due to gravity on Planet X, where ordinary tasks seem easier than on earth, but you can't find this information in your Visitor's Guide. One night you suspend the spring from the ceiling in your room and hang the mass from it. You find that the mass stretches the spring by 22.8 cmcm . You then pull the mass down 7.90 cmcm and release it. With the stopwatch you find that 11.0 oscillations take 18.5 ss .
The new g = 3.16 m/s².
Steps11 oscillations in 18.5 s
The duration of an oscillation is referred to as the time period.
T = 18.5 / 11 = 1.68 s
mass, m = 200 g = 0.20 kg
Δx = 22.8 cm = 0.228 m
ω = 2π / T = (2 x 3.14) / 1.68 = 3.73 rad/s
\(\omega =\sqrt{\frac{K}{m}}\)
Where, K is the spring constant
K = ω² m = 3.73 x 3.73 x 0.20 = 2.78 N/m
Now, mg = K Δx
0.20 x g =2.78 x 0.228
g = 3.16 m/s²
what are oscillations?A sine wave—a wave with everlasting motion like the side-to-side swing of a pendulum or the up-and-down action of a spring with a weight—is an example of an oscillation. An oscillation is a periodic motion that repeats itself in a regular cycle. Around an equilibrium point or mean value, an oscillating movement takes place.
What kinds of oscillation are there?Free, damped, and forced oscillation are the three basic types of oscillation. A body is said to be oscillating freely when it vibrates at its own frequency.
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Someone please help me ?
Click the card deck to view a card. Drag the card from the bottom to the correct category
Law of Inertia
Law of Acceleration
Law of reaction
Card 1
A hockey puck comes to a stop when it hits the hockey players stick
Card 2
Shot put exerts a force on the ground and an equal force to the shot .
Card 3
A golf ball is hit by a golf club
Card 4
Basketball player must use the appropriate amount of force to shoot
Card 5
Gravity pulls down on golf ball and tee is pushing up.
Card 6
A diver rotates faster when tuck is tightened
Card 7
An athlete can jump higher off a solid surface than an unstable one
Card 8
The larger force by a shot put thrower, the greater the acceleration
Card 9
A shot put will continue at a constant speed until it hits the ground.
Answer:
1 9 5 3 into law of inertia and 4 6 into law of acceleration and 2 7 8 into law of reaction
Law of Reaction: Cards 1, 3, and 9.
Law of Acceleration: Cards 2, 4, and 7
Law Of Inertia: Cards 5, 6, and 8
Based on the law of conservation of energy, which statement is correct?
Answer:
You kinda left out the options you want us to choose from.
Resend the question with Full details
students are doing an experiment near an empty pool. a student of mass 40kg is standing on one end of a board as the board hangs over the pool as shown. the board is of uniform density, has a length l, and is positioned such that the pivot point is l/3 from the end of the board. the board is just about to tip over into the pool. how far from the pivot point must a 60kg student stand so that the board is just about to tip over? reddit
The correct option about his position is : At 2L/9 you will see it tip over
Why does weight change and mass does not ?Due to the fact that mass is the quantity of matter contained in an item and does not change with gravity, mass is always the same. As long as the amount of matter in an object doesn't change, its mass will remain constant. In contrast, an object's weight refers to the force of gravity acting on it.
No matter where you are in the cosmos, you have the same mass since mass is a measurement of how much matter is in an object. But because weight measures the force between an object and the body it is resting on, it fluctuates (whether that body is the Earth, the Moon, Mars, et cetera).
Given : A mass of student 40 kg
length is represented by l
Position of the pivot point from the board = l/3
The student should stand at 2L/9 you will see it tip over so as to weigh of 60kg.
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4
Diagram 2 shows the scale of a microammeter.
Rajah 2 menunjukkan skala sebuah mikroammeter
140 60
20
SO 100
wala
Diagram 2
Rajah 2
What is the sensitivity of the microammeter?
Berapakah kepekaan mikroammeter itu?
Answer:
100 micro-ampere
Explanation:
The sensitivity of an ammeter is the current required for the ammeter to reach its maximum reading or to cause maximum deflection of the ammeter.
As the relative amount of current required to cause maximum deflection of an ammeter is lesser, the sensitivity of the ammeter is said to be higher or the ammeter is said to be more sensitive
Therefore, given that the maximum reading on the given microammeter is 100 μA, the current required to cause the maximum deflection an thus the sensitivity of the ammeter is 100 micro-ampere.
who made earth? when and who who who
The creation of the Earth can be explained by different religious, philosophical and scientific perspectives.
How was the Earth formed ?Different religious or philosophical beliefs may attribute the creation of the Earth to a divine or supernatural force, based on scientific understanding, the Earth was formed through natural processes and is the result of the physical laws and principles that govern the universe.
In the case of the Earth, the process was likely initiated by the collapse of a massive cloud of gas and dust, known as the solar nebula, which eventually formed the Sun and the planets of the Solar System. The specific details of this process are still the subject of ongoing scientific investigation and debate, however.
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Suppose a weight of 1 kg is attached to an oscillating spring with friction constant b=7 and stiffness constant k=6. Suppose the external forces on the weight are: F ext
(t)=−6te −3t
+e −3t
. y ′′
+7y ′
+6y=−6te −3t
+e −3t
a) Show y(t)=te −3t
is a possible position function for this weight. y ′1
+7y ′
+6y=−6tc −3t
+e −3t
r 2
+7r+6=0
(r+a)(r+1)
e −6t
e −t
y=1e −4t
+1e −t
y ′
=−61)e −4t
+Ae t
y ′
=−609e −4t
+e −+
(6,6e −4t
)+Me −t
b) Find a general equation for all possible position functions. y=Ae −6t
+AC 2
=−6+e 3t
+e −3t
(10 points) c) Find the exact motion equation for this weight if its initial position is y(0)=3, and its initial velocity is v(0)=y ′
(0)=
a) y(t) = te⁻³ᵗ is a possible position function.
b) General equation: y(t) = C₁e^(-2t) + C₂e^(-3t) + t(e^(-3t))(At + B).
c) Exact motion equation: y(t) = (23/5)e^(-2t) - (8/5)e^(-3t) + t(e^(-3t))(At + B), with initial conditions y(0) = 3 and v(0) = -7.
a) To show that y(t) = te⁻³ᵗ is a possible position function, we substitute it into the differential equation:
y(t) = te⁻³ᵗ
y'(t) = e⁻³ᵗ - 3te⁻³ᵗ
y''(t) = -6e⁻³ᵗ + 9te⁻³ᵗ
Substituting these expressions into the differential equation, we have:
-6e⁻³ᵗ + 9te⁻³ᵗ + 7(e⁻³ᵗ - 3te⁻³ᵗ) + 6(te⁻³ᵗ) = -6te⁻³ᵗ - e³ᵗ
Simplifying this equation, we find that both sides are equal, thus confirming that y(t) = te⁻³ᵗ is a possible position function.
b) The general equation for all possible position functions can be written as:
y(t) = C₁e^(-2t) + C₂e^(-3t) + t(e^(-3t))(At + B)
c) Given the initial conditions y(0) = 3 and y'(0) = v(0) = -7, we substitute these values into the general equation and solve for the constants:
3 = C₁ + C₂
-7 = -2C₁ - 3C₂
Solving these equations, we find C₁ = 23/5 and C₂ = -8/5.
The exact motion equation for the weight is:
y(t) = (23/5)e⁻²ᵗ - (8/5)e⁻³ᵗ + t(e⁻³ᵗ)(At + B)
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Suppose a weight of 1 kg is attached to an oscillating spring with friction constant b = 7 and stiffness constant k = 6. Suppose the external forces on the weight are: Fₑₓₜ(t) = - 6te⁻³ᵗ - e³ᵗ
y" + 7y' + 6y = - 6te⁻³ᵗ - e³ᵗ
a) Show y(t) = te⁻³ᵗ is a possible position function for this weight.
b) Find a general equation for all possible position functions.
c) Find the exact motion equation for this weight if its initial position is y(0) = 3, and its initial velocity is v(0) = y'(0) = -7.
an object experiences a force which varies with position as where -3.33 n/m and 4.4 n/m3. calculate the chan
The change in potential energy of the object is given by the above expression. ΔU = -1.665(x2^2 - x1^2) + 1.1(x2^4 - x1^4)
To calculate the change in potential energy of the object, we need to integrate the force with respect to position.
The potential energy change, ΔU, is given by:
ΔU = -∫Fdx
where F is the force and dx is the infinitesimal displacement.
In this case, the force is given as:
F(x) = -3.33x + 4.4x^3
Substituting this into the equation for potential energy change, we get:
ΔU = -∫(-3.33x + 4.4x^3)dx
Integrating this expression with respect to x, we get:
ΔU = [-1.665x^2 + 1.1x^4] + C
where C is the constant of integration.
To find the change in potential energy between two positions x1 and x2, we need to evaluate the expression for ΔU at these two positions and take the difference:
ΔU = [-1.665x2^2 + 1.1x2^4] - [-1.665x1^2 + 1.1x1^4]
Simplifying this expression, we get:
ΔU = -1.665(x2^2 - x1^2) + 1.1(x2^4 - x1^4)
Therefore, the change in potential energy of the object is given by the above expression.
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What is the mass of a cart that has an acceleration of 10m/s^2 when a net force of 2000 N is applied to it?
Please I need the answer...
Answer:
200kg is the answer to the question
Ashanti picks up a book and lifts it a height of 0.8 m onto a shelf. The book gains 4.7 J of gravitational potential energy as a result. Calculate the mass of the book. The gravitational field strength on Earth is 9.8 N/kg.
The mass of Ashanti's book is 1.6kg if the book gains 4.7 J of gravitational potential energy.
What is mass?The term mass refers to the quantity of matter that makes up something or someone. Additionally, mass can be thought of as the resistance an item has to changes in velocity and, consequently, changes in acceleration, as acceleration is the rate at which velocity changes.
Since it takes effort to lift objects out of the gravitational pull of the Earth, gravitational energy is the potential energy associated with gravitational force. Water in an elevated reservoir or kept behind a dam serves as evidence for gravitational potential energy, which is caused by elevated positions.
The formula for potential energy
PEg=mgh
PEg=4.7J
g=9.8N/kg
h=0.8m
m=?
4.7=m×9.8×0.8
4.7=7.84m
m=7.8/4.7=1.6
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Why are images reflected from a rough surface not as clear as those reflected from a smooth
surface?
Answer:
Just as images are reflected from the surface of a mirror, light reflected from a smooth water surface also produced a clear image. ... Consequently, the outgoing rays are reflected at many different angles and the image is disrupted. Reflection from such a rough surface is called diffuse reflection and appears matte.
Explanation:
hi po I hope it's help you
A 10-N force is exerted on a box, moving it 20 m in the same direction. 20 m. According to the above diagram, what is the magnitude of work done on the box? A 2 J B 10 J C 30 J D 200 J Back
Block A is set on a rough horizontal table and is connected to a horizontal spring that is fixed to a wall, as shown.
Block A is then also connected to hanging block B by a lightweight string that passes over an ideal pulley, as
shown. The friction force exerted on block A by the table is not negligible. The blocks are initially held at rest so
that the spring is not stretched. When the blocks are released, hanging block B moves downward and block A on
the table moves to the right until the system comes again to rest. Let E1 be the mechanical energy of the blocks-
spring system, and let E2 be the mechanical energy of the blocks-spring-Earth system. How do these two energies
change from when the blocks are held at rest to when the blocks come to rest again?
The mechanical energy of the system is sum of the potential and kinetic
energy of the system.
Response:
E1 increases, E2 decreasesMethods by which the the above response is obtainedMechanical energy, M.E. in the block and spring system can be presented as follows;
M.E. = Energy in the spring + Kinetic energy of the blocks + Energy done on friction
Mechanical energy of the block-spring system, E1When the blocks are held at rest;
The mechanical energy in the block-spring system when the blocks are held at rest can be found as follows;
Energy in the spring = 0
Kinetic energy of the blocks = 0
Friction energy = 0
Therefore;
E1 for the block at rest = 0
E1 when the blocks come to rest again
Energy in the spring = \(\mathbf{\frac{1}{2} \cdot k \cdot x^2}\) > 0
Kinetic energy = 0
Energy of friction = 0
Therefore;
The mechanical energy of the block-spring system, E1, increases
The mechanical energy of the block-spring-Earth system, E2When the blocks are held
Energy in the spring = 0
Energy done due to friction = 0
Potential energy of Block B = m·g·h
Kinetic energy of the blocks = 0
When the blocks come to rest again, we have;
Energy in the spring = \(\frac{1}{2} \cdot k \cdot x^2\)
Energy received due to friction = 0
Potential energy of Block B = m·g·(h - y)
Where;
\(m \cdot g \cdot h = \mathbf{m \cdot g \cdot (h - y) + \frac{1}{2} \cdot k \cdot x^2 + Energy \ loss \ due \ to \ friction}\)
Which gives;
\(m\cdot g \cdot h > m \cdot g \cdot (h - y) + \frac{1}{2} \cdot k \cdot x^2\)
The energy in the spring-block-Earth system, E2, when initially held is more than the the energy when the blocks com to rest again.
Therefore, E2 decreases
The correct option is therefore;
E1 increases, E2 decreasesThe possible question options obtained from a similar question posted online are;
E1 increases, E2 decreasesE1 decreases, E2 increasesE1 is constant, and E2 decreaseE1 and E2 remain constantLearn more about mechanical energy here;
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Which nucleus completes the following equation?
A diving watch must be immersed in seawater from a diving
vessel. Three divers and various equipment
is in the clock. The diving watch can be modeled as a closed steel
ball with
wall thickness 50 mm.
A diving watch that is immersed in seawater from a diving vessel can be modeled as a closed steel ball with a wall thickness of 50 mm.
The purpose of the steel ball design is to provide protection to the internal components of the diving watch from the external environment, including water pressure. The steel material and the thickness of the wall help to ensure the structural integrity of the watch under high-pressure conditions.
When the diving watch is submerged in seawater, the external pressure increases with depth due to the weight of the water above. The steel ball acts as a barrier, preventing the water from entering the watch and damaging its internal mechanisms.
By using a closed steel ball design with a sufficient wall thickness, the diving watch can withstand the increasing water pressure as the divers descend deeper into the water. This design ensures the watch remains watertight and functional during underwater activities.
It's worth noting that in addition to the steel ball design, diving watches often incorporate other features such as gaskets, seals, and screw-down crowns to enhance their water resistance and ensure reliable performance at greater depths.
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Which is an example of sedimentation?
a cliff forming as rocks crack and fall away
B.
a sandbar forming as suspended particles settle over time
C.
a volcano forming as one lithospheric plate is subducted
under another
D.
a marble shelf forming under Earth's surface as rock is
melted and recrystallized
Whic
C
*********
C
An example of sedimentation is a sandbar forming as suspended particles settle over time.
option B.
What is sedimentation?
Sedimentation is the deposition of sediments. It takes place when particles in suspension settle out of the fluid in which they are entrained and come to rest against a barrier.
Also, Sedimentation is a process of settling down of the heavier particles present in a liquid mixture. For example, in a mixture of sand and water, sand settles down at the bottom. This is sedimentation.
Other examples of sedimentation include;
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47. explain why the abundances of heavy elements in stars correlate with their positions in the galaxy.
The presence of heavy elements in stars correlates with their positions because these elements show which star formed first, and a star's brightness and spectral type show where it is in the galaxy.
Heavy elements are present in population I stars. It is concentrated in the discs of spiral galaxies and typically contains the sun. It is also hot, youthful, and brilliant. The majority of them are found in spiral arms. In globular clusters and the outer galactic halo, where the concentration of heavy elements is relatively low, population II stars are born. The important information to compare the locations of the stars is therefore their abundances of heavy metals. Energy must be added in order for elements heavier than iron and nickel to develop.
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what is required for force to come into play
Answer:
An interaction of one object with another object results in a force between the two objects. Thus, at-least two objects must interact for a force to come into play.
The kinetic energy of an object is 550 J when it is moving at a velocity of 10 m/s. What is the object’s mass?
Answer:
11 kg
Explanation:
Let's start by the definition of kinetic energy, that is \(K = {1\over2} m v^2\), let's replace what we have and solve for what's left.
\(550 = {1\over2}\cdot m \cdot 10^2\)
\(m = {550\cdot 2 \over 100} = 11 kg\)
2.How does “pumping” increase a skater's acceleration?
Answer:
By raising her center of mass just at the beginning of the arc, the skater gains energy and thereby increases her speed. Pumping on a skateboard in this way is closely related to pumping on a swing.
Explanation:
I hope this helps you!
(ps: can i plz have the brainlyest answer?)
On an axis in which moving from right to left is positive, what is the displacement and distance of a student who walks 32m to the right and then 17m to the left
Answer:
-15
Explanation:
displacement = (-32) + (+17)
= -15
note : displacement can be positive, negative as well as zero.
On an axis in which moving from right to left is positive, the displacement of a student who walks 32m to the right and then 17m to the left is -15m, and the distance is 49m.
To find the displacement and distance of a student who walks 32m to the right and then 17m to the left on an axis where moving from right to left is positive, you should follow these steps:
1. Assign a positive direction to moving from right to left (and a negative direction for left to right movement).
2. The student first moves 32m to the right, which is negative in this axis. So, this movement is -32m.
3. Next, the student moves 17m to the left, which is positive in this axis. This movement is +17m.
4. Calculate the displacement: Displacement is the overall change in position, so add the two movements together: -32m + 17m = -15m. The negative sign indicates that the student's final position is 15m to the right of the starting point.
5. Calculate the distance: Distance is the total length of the path traveled, regardless of direction. So, add the absolute values of the two movements: |-32m| + |17m| = 32m + 17m = 49m.
On an axis in which moving from right to left is positive, the displacement of a student who walks 32m to the right and then 17m to the left is -15m, and the distance is 49m.
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how to test a zener diode with a digital multimeter
To test a Zener diode with a digital multimeter, follow these steps:
1. Turn off the power supply to the circuit.
2. Set your multimeter to the diode test mode. This is usually represented by a diode symbol on the multimeter dial.
3. Connect the black probe of the multimeter to the cathode end of the Zener diode and the red probe to the anode end of the diode.
4. Check the voltage reading on the multimeter. If the voltage reading is zero, the Zener diode is not conducting and is faulty. If the voltage reading is close to the Zener voltage rating, the Zener diode is good.
5. Reverse the probes and repeat the test. The voltage reading should be close to zero volts. If the voltage reading is still close to the Zener voltage rating, the Zener diode is faulty.
Note: Be sure to consult the datasheet of the Zener diode you are testing to ensure that you are using the correct voltage rating.
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each resistor is rated at 0.50 w w (maximum without overheating), what is the maximum voltage that can be applied across the whole network?
The maximum voltage that can be applied across the whole network is 1.28 V.
To calculate the maximum voltage that can be applied across the whole network, you need to apply Ohm's Law and power formula.
The equation for power is P = V²/R,
where P is power, V is voltage, and R is resistance.
Therefore, V = sqrt(P * R).
Given that each resistor is rated at 0.50 W, the power of the network is 2 x 0.50 W = 1 W.
Since the resistors are in parallel, the equivalent resistance can be calculated as follows:
1/R = 1/R1 + 1/R2 + 1/R3 + 1/R4 + 1/R5R = 1/(1/3 + 1/3 + 1/6 + 1/8 + 1/16)R = 1.6375 Ω
Therefore, the maximum voltage that can be applied across the whole network is V = sqrt(P * R) = sqrt(1 * 1.6375) = 1.28 V (approx).
Therefore, the maximum voltage that can be applied across the whole network is 1.28 V.
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A circuit calls for a 0.600 mm -diameter copper wire to be stretched between two polnts. You don't have any copper wire, but you do have aluminum wire in a wide variety of diametars Part A What diameter aluminum wire will provide the same resistance? Express your answer with the appropriate units. Value Units Submit Request Answer Provide Feedback Next >
The diameter of the aluminum wire that will provide the same resistance as that of a 0.600 mm-diameter copper wire is 0.78 mm.
Firstly, we will find the resistance per unit length (R/L) of the copper wire using the formula:
R/L = ρ/(πr²), where ρ is resistivity and r is the radius.
Now, we have to determine the resistivity values for copper and aluminum.
The resistivity of copper is approximately 1.68 × 10⁻⁸ Ωm, and the resistivity of aluminum is approximately 2.82 × 10⁻⁸ Ωm.
Now, we will calculate the resistance per unit length for the copper wire:
R/L (copper) = (1.68 × 10⁻⁸ Ωm) / (π × (0.3 × 10⁻³ m)²) ≈ 5.942 × 10⁻² Ω/m
Now, we have to find the diameter of the aluminum wire by equating the resistance per unit length of both wires and solving for the radius of the aluminum wire:
R/L (copper) = R/L (aluminum)
(5.942 × 10⁻² Ω/m) = (2.82 × 10⁻⁸ Ωm) / (π × r²)
Now, solve for the radius of the aluminum wire:
r² = (2.82 × 10⁻⁸ Ωm) / (π × 5.942 × 10⁻² Ω/m)
r ≈ 3.9 × 10⁻⁴ m
Converting the radius to diameter:
Diameter = 2 × r
≈ 2 × 3.90 × 10⁻⁴ m
≈ 7.80 × 10⁻⁴ m
≈ 0.78 mm
So, the diameter of the aluminum wire that will provide the same resistance as a 0.600 mm-diameter copper wire is approximately 0.78 mm.
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What is power the quotient of?
A.speed and energy
B.work and time
C.speed and distance
D.work and distance
Power quotient of : _____?
Answer :
\(p = \frac{w}{t} \)
P is Power (Watt)
W is Work (Joule)
T is Time (second)
So, it means Work and Time is the quotient of Power. (B)
It is easier to add vectors together if we split them into what? A. Sizes B. Components C. Quadrants D. Lines
Answer:
B. ComponentsExplanation:
Splitting vectors into components makes it easier to perform operations on them, typically categorizing vectors into horizontal and vertical components which are the two components makes it very easy to perform operations, since they are similar terms and operations cab be done easily
Lợi ích của lực ma sát và cách làm tăng
33. Refer to Problem 32. If the pendulum of a grandfather clock is normally 1 meter long and the length is increased by 10 centimeters, how many minutes will the clock lose each day? 33. The clock will lose about 72 minutes each day. Additional info 32. The period of the pendulum of a grandfather clock is T=2πg1 where l is the length (in meters) of the pendulum, T is the period (in seconds), and g is the acceleration due to gravity (9.8 meters per second per second). Suppose the length of the pendulum, a thin wire, increases by 1% due to an increase in temperature. What is the corresponding percentage error in the period? How much time will the clock lose each day?
To determine the corresponding percentage error in the period, we can use the formula for the period of the pendulum:
T = 2π * sqrt(l / g)Let's denote the original length of the pendulum as l0 and the new length as l1, where l1 = l0 + Δl. The corresponding percentage error in the period can be calculated as follows:
Percentage error in period = (ΔT / T) * 100
First, let's find the value of T0, the original period:
T0 = 2π * sqrt(l0 / g)Next, let's find the value of T1, the new period:
T1 = 2π * sqrt(l1 / g)= 2π * sqrt((l0 + Δl) / g)Now, let's calculate the change in period, ΔT:
ΔT = T1 - T0
= 2π * sqrt((l0 + Δl) / g) - 2π * sqrt(l0 / g)= 2π * (sqrt((l0 + Δl) / g) - sqrt(l0 / g))To find the corresponding percentage error in the period, we divide ΔT by T0 and multiply by 100:
Percentage error in period = (ΔT / T0) * 100
= [(2π * (sqrt((l0 + Δl) / g) - sqrt(l0 / g))) / (2π * sqrt(l0 / g))] * 100= [(sqrt((l0 + Δl) / g) - sqrt(l0 / g)) / sqrt(l0 / g)] * 100Simplifying the expression:
Percentage error in period = [(sqrt(l0 + Δl) - sqrt(l0)) / sqrt(l0)] * 100Now, let's calculate the percentage error in the period using the given information that the length increases by 1% (Δl = 0.01l0):
Percentage error in period = [(sqrt(l0 + 0.01l0) - sqrt(l0)) / sqrt(l0)] * 100
= [(sqrt(1.01) - 1) / 1] * 100= [(1.00498756211 - 1) / 1] * 100≈ 0.49876%Therefore, the corresponding percentage error in the period is approximately 0.49876%.
To find how much time the clock will lose each day, we need to calculate the change in the period and convert it to minutes:
Change in period (ΔT) = T1 - T0
= 2π * sqrt((l0 + Δl) / g) - 2π * sqrt(l0 / g)= 2π * (sqrt((l0 + Δl) / g) - sqrt(l0 / g))To convert ΔT to minutes, we need to multiply it by the number of minutes in one period (T0):
Time lost per day = ΔT * (24 hours / T0) * (60 minutes / 1 hour)Now, let's calculate the time lost per day using the given values:
Time lost per day = ΔT * (24 / T0) * 60
= [2π * (sqrt(l0 + Δl) - sqrt(l0))] * (24 / (2π * sqrt(l0))) * 60= [(sqrt(l0 + Δl) - sqrt(l0))] * (24 / sqrt(l0)) * 60Since the original length of the pend
ulum is 1 meter (l0 = 1) and the length increases by 10 centimeters (Δl = 0.1), we can substitute these values:
Time lost per day = [(sqrt(1 + 0.1) - sqrt(1))] * (24 / sqrt(1)) * 60
= [(sqrt(1.1) - 1)] * (24 / 1) * 60≈ (0.04875) * (24) * 60≈ 72 minutesTherefore, the clock will lose approximately 72 minutes each day.
About PendulumThe pendulum is an object that is attached to a rope and can swing freely and periodically which is the basis for the work of an ancient wall clock that has a swing. A history explains that Ibn Yunus was the first astronomical figure to use a pendulum as a means of measuring time in the tenth century
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hich device involves the use of plasma in technology?arc welderdiesel enginea car radiobattery-operated flashlight
The device that involves the use of plasma in technology is an arc welder. Plasma is used in a variety of technological applications. The correct option is A.
Which device involves the use of plasma in technology?Arc welder involves the use of plasma in technology.
What is an arc welder?An arc welder is a welding tool that employs electricity to create an electrical discharge between an electrode and a base metal to generate heat. The heat generated by the arc is capable of melting and fusing metal parts.
The electrode is a metal wire that melts as the current passes through it, producing an arc that fuses the metal parts together.
Arc welding is widely used in the metalworking and construction industries due to its ability to create permanent and robust connections between metal parts.
The most common type of arc welding is stick welding, which employs a flux-covered electrode and an arc welder power source to generate an electrical arc that fuses metal parts together.
Other types of arc welding include TIG (Tungsten Inert Gas) welding and MIG (Metal Inert Gas) welding, which employ different types of electrodes and gas shields to generate an electrical arc that fuses metal parts together.
Plasma cutting is another technique that employs plasma in technology. Plasma cutting involves the use of a plasma torch to cut metal parts. The torch generates a plasma jet that melts and cuts the metal parts, leaving a clean and smooth cut.
Plasma cutting is widely used in the metalworking and construction industries due to its ability to cut metal parts quickly and accurately. Therefore, the correct option is arc welder.
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