(a) Force is doing negative work on the car as it is being lifted is The force of gravity on the car due to the Earth.
(b) The force is doing positive work on the car as it is being lifted is the force of the car acting on the rope.
(a) Due to the gravity of the earth on the car, negative work is done on the car when lifting it, as gravity is in the opposite direction of the car moving. Negative work is done when force and displacement are in opposite directions. In this case, gravity acts downward as the car moves upward. The force of the rope acting on the car does positive work because it is in the same direction as the car is moving.
(b) The work done is defined as the product of the force and the displacement in the direction of the force.
W = F x d x Cos θ
where θ is the angle between force and displacement.
Gravity is acting downward, moving upward, so the included angle is 180. cos 180 = -1 , so the work done by gravity is negative.
The upward force and upward movement of the rope.
Thus, the work performed is active.
Learn more about Force:
https://brainly.com/question/13191643
#SPJ4
The dog has ran 100 meters in 20 seconds and then 300 meters in 25 seconds what was the average speed of the dog over the entire time it was running
Explanation:
the speed of the dog was 400
a glider on an air track is connected by a spring to the end of the air track. if it takes 0.30 s for the glider to travel the distance of 12 cm from one turning point to the other, what is the glider's angular frequency?
The angular frequency of the glider that takes 0.30 s to travel the distance of 12 cm from one turning point to another is 20.93 rad/s.
The angular frequencyThe angular frequency is the magnitude of the angle of the sector of the circle formed by the trajectory of the point that moves in a circle per unit time. Briefly, angular speed is the angular speed accompanied by the direction. The unit of angular speed is rad/second or rad/minute or rad/hour, depending on what is known from each problem.
The equation for determining the angular speed or angular frequency is:
ω= 2\(\pi\)/T or ω = 2\(\pi\)f
Where f = 1/T
ω = angular speed or frequency (rad/second)
\(\pi\) = 3.14
f = frequency (rev/second)
T = period (second)
We have,
T = 0.30 s
So, ω = 2\(\pi\)/T
= 2 (3.14) / 0.30
= 20.93 rad/s
Learn more about angular speed or frequency here: https://brainly.com/question/6860269
#SPJ4
If 42 J of chemical energy in a battery places 7.0 C of negative charge at the negative terminal,
leaving a deficit at the positive terminal, what is the potential difference between the negative and
positive terminals of the battery?
The battery's negative and positive terminals have a 6J/C potential difference. This depicts a separation between a positive charge and a negative charge.
Calculation:
W = qV
W/q = V
42/7 = V
V = 6J/C
How much potential energy does a 12 V battery with a 2 C charge have?For every 1 Coulomb of charge that passes between a 12 volt battery's negative and positive terminals, 12 Joules of electric potential energy are produced. Charge to potential energy change changes in a 12:1 ratio. The difference in potential energy for two Coulombs of charge would therefore be 24 Joules.
What is the formula for terminal potential difference?The cell is charged by current I that comes from another source. In this situation, the terminal potential difference is Ir times bigger than the emf, hence V=E+Ir.
To know more about potential difference visit:-
https://brainly.com/question/12198573
#SPJ1
Two people carry identical 40.0N boxes up the ramp. The ramp is 2.00m long and 1.00m high. Person A walks up the ramp in 2.00s. Person B walks up the ramp in 4.00s. What is the difference in power the two people use to carry the boxes up the ramp
The difference in power for two people carrying the boxes up the ramp is 30 W.
Given the following data:
W = 40.0 N is the weight of a box.
The ramp's length is L = 2.00 m.
The platform height is h = 1.0 m.
t = 2.0 s is the time interval for the first person.
t' = 4.0 s is the time interval for the other person.
Power is the rate at which energy is used. The expression for the Power is given in the given question as,
P = W×(L+h)/t
Assume that you are solving for the first person.
P₁ = W(L+h)/t₁.................................................................. (1)
Substitute the following values into equation (1):
P₁ = 40(2+1)/2
P₁ = 20(3) (3)
P₁ = 60 W.
Regarding the second person,
P₂ = W(L+h)/t₂..................................................................... (2)
Fill in the blanks in equation (2) as follows:
P₂ = 40(2+1)/4
P₂ = 10*(3) *3)
P₂ = 30 W
Obtaining the difference in power as
P = P₁ - P₂
P = 60-30
P = 30 W
As a result, we can conclude that the difference in power for two people carrying the boxes up the ramp is 30 W.
Learn more about power here:
https://brainly.com/question/287674
#SPJ4
An argon gas processor has a first cost of $20,000 with a $5,000 salvage value after 5 years. What is the Book Value at year 3;BV3=? Select one: a. BV3= $13,000 b. BV3= $10,000 c. BV3= $12,000 d. BV3= $11,000 An argon gas processor has a first cost of $20,000 with a $5,000 salvage value after 5 years. What is the Depreciation at year 3, D3=? Select one: a. D3= $4,000 b. D3= $3,000 c. D3= $2,000 d. D3= $5,000
To calculate the book value at year 3 (BV3), we need to determine the accumulated depreciation at year 3. The depreciation is calculated by subtracting the salvage value from the initial cost and dividing it by the number of years.
Initial cost: $20,000
Salvage value: $5,000
Number of years: 5
Depreciation per year = (Initial cost - Salvage value) / Number of years
Depreciation per year = ($20,000 - $5,000) / 5 = $3,000
Accumulated depreciation at year 3 = Depreciation per year * Number of years
Accumulated depreciation at year 3 = $3,000 * 3 = $9,000
Book value at year 3 = Initial cost - Accumulated depreciation at year 3
Book value at year 3 = $20,000 - $9,000 = $11,000
Therefore, the Book Value at year 3 (BV3) is $11,000 (option d).
To calculate the depreciation at year 3 (D3), we can simply use the depreciation per year, which is $3,000. Therefore, the Depreciation at year 3 (D3) is $3,000 (option b).
Learn more about depreciation here:
https://brainly.com/question/29894489
#SPJ11
given a fixed amount of gas held at constant pressure, calculate the temperature to which the gas would have to be changed if a 3.50 l sample at 23.0c were to have a final volume of 1.50l
The temperature to which the gas would have to be changed if a 3.50 L sample at 23.0°C were to have a final volume of 1.50 L is 127 K.
According to Charles's law, when a fixed amount of gas is held at constant pressure, the volume of the gas is directly proportional to the temperature. This means that the temperature of the gas would have to be changed to adjust its volume. The relation can be expressed as follows:
V1/T1 = V2/T2
where
V1 is the initial volume of gas
T1 is the initial temperature of gas
V2 is the final volume of gas
T2 is the final temperature of gas
In the given scenario, the initial volume of the gas is V1 = 3.50 L.
The initial temperature of gas is T1 = 23.0 °C = 23.0 + 273 = 296 K.
The final volume of gas is V2 = 1.50 L.
The formula for Charles's law is
V1/T1 = V2/T2
Rearranging the equation, we can find the final temperature as follows:
T2 = (V2/V1) × T1
T2 = (1.50/3.50) × 296K = 127 K
Thus, the final temperature of gas would have to be changed to 127 K to have a 3.50 L sample at 23.0 °C with a final volume of 1.50 L.
Learn more about Charles's law here: https://brainly.com/question/16927784
#SPJ11
A bicycle travels 9.90 km due east in 0.500 h, then 9.00 km at 15.0° east of north in 0.770 h, and finally another 9.90 km due east in 0.500 h to reach its destination. The time lost in turning is negligible. Assume that east is in the +x-direction and north is in the +y-direction.What is the direction of the average velocity for the entire trip? Enter the answer as an angle in degrees north of eastWhat is the magnitude of the average velocity for the entire trip
First, draw a diagram to visualize the situation:
The average velocity v is defined as the quotient of the total displacement over the time that it takes to perform the displacement:
\(\vec{v}=\frac{\Delta\vec{r}}{\Delta t}\)Notice that both velocity and displacement are vector quantities.
For that reason, the direction of the average velocity will be the same as the direion of the displacement.
Find the displacement by adding the three displacements as vectors. To do so, find the x and y components of each displacement, add the components to find the x and y components of the total displacement, and finally use the vertical and horizontal components of the total displacement to find the direction.
9.90 km East:
Since this vector points towards the East, its vertical component is 0.
The horizontal component is 9.90 km.
9.00 km 15.0º East of North
Since the angle of 15.0º is measured with respect to the positive Y axis, use the cosine function to find the vertical component and the sine function to find the horizontal component.
Vertical component:
\(9.00\operatorname{km}\times\cos (15.0º)=8.693\ldots km\)Horizontal component:
\(9.00\operatorname{km}\times\sin (15.0º)=2.329\ldots km\)9.90 km East:
Since this vector points towards the East, its vertical component is 0.
The horizontal component is 9.90 km.
Vertical component of the displacement:
\(0\operatorname{km}+8.693\operatorname{km}+0\operatorname{km}=8.693\operatorname{km}\)Horizontal component of the displacement:
\(9.90\operatorname{km}+2.329\operatorname{km}+9.90\operatorname{km}=22.129\ldots km\)To find the direction in degrees north of east, notice that:
\(\tan \theta=\frac{\text{Vertical component}}{\text{ Horizontal component}}\)Then:
\(\theta=\tan ^{-1}(\frac{8.693\operatorname{km}}{22.129\operatorname{km}})=21.4º\)The magnitude of a vector V with components V_x and V_y is:
\(|V|=\sqrt[]{V^2_x+V^2_y}\)Then, the magnitude of the displacement is:
\(\sqrt[]{(8.693km)^2+(22.129km)^2}=23.78\operatorname{km}\)Divide the magnitude of the displacement by the total travel time to find the magnitude of the average velocity. The total time was 0.5h+0.77h+0.5h=1.77h.
\(|\vec{v}|=\frac{23.78\operatorname{km}}{1.77h}=13.4\frac{\operatorname{km}}{h}\)Therefore, the answers are:
\(\begin{gathered} \theta=21.4º \\ |\vec{v}|=13.4\frac{\operatorname{km}}{h} \end{gathered}\)Someone please help me!!! Please explain and I will mark brainliest!!!
R=10+15+30
55 is the answer to the question
what is the definition of physics?
A.the study of living organisms, divided into many specialized fields that cover their morphology, physiology, anatomy, behavior, origin, and distribution
B.the branch of science that deals with the identification of the substance of which matter is composed
C.the branch of science concerned with the nature and properties of matter and energy
D.the branch that deals with the relations of organisms to one another and to their physical surroundings
Answer:
your answer should be c
Answer:
D.the branch that deals with the relations of organisms to one another and to their physical surroundings
a block of known mass m is at rest at the base of a ramp. a second identical block of mass m travels at a known, constant velocity v0 , as shown in figure 1. the block that travels at a constant speed collides with and sticks to the first block. both blocks slide up the ramp and travel with an unknown velocity vr at the top of the ramp, as shown in figure 2. all frictional forces are considered to be negligible. which quantity should the student measure, if any, to determine whether the conservation of momentum applies to the two-block system from immediately before the collision to immediately after the blocks have reached the top of the ramp while stuck together? justify your selection. responses the force due to gravity exerted on both blocks as they travel up the ramp, because the force due to gravity does work on the system as it travels up the ramp.
The velocity of the two-block system at the top of the ramp is half the initial velocity of the second block. However, the force due to gravity exerted on both blocks as they travel up the ramp is not relevant to the conservation of momentum because it is a conservative force that does not affect the total momentum of the system.
Velocity of th two blocks systemThe total momentum of the system before the collision is equal to the momentum of the second block, which is given by:
p = mv0
where m is the mass of each block, and v0 is the initial velocity of the second block.
After the collision, the two blocks move together with an unknown velocity vr. The total momentum of the system after the collision is:
p' = (2m)vr
where 2m is the total mass of the two blocks, and vr is the final velocity of the system.
The conservation of momentum states that the total momentum of an isolated system remains constant, provided no external forces act on it. Therefore, the total momentum of the system before the collision is equal to the total momentum of the system after the collision:
p = p'
Substituting the expressions for p and p' gives:
mv0 = (2m)vr
Simplifying gives:
vr = v0/2
The velocity of the system can be measured to confirm that the conservation of momentum applies to the system.
Learn more on velocity here https://brainly.com/question/626479
#SPJ1
write two ways to be protected from the energy crisis?
How is high speed internet transmitted around the world?
Answer:
How is high-speed internet typically transmitted around the world? over telephone wires b. through fiber optic cables c. beamed wirelessly to homes d via satellites
Explanation:
Find the speed of a wave with wave length 650 M and a frequency 35HZ
help.
Answer:
option A
Explanation:
wave speed= 650×35= 22750 m/s
hope it helps !
Answer:
option is the correct answer mark me as a brain list pls
what is the condition for the first dark fringe through a single slit of width w?
Answer:
The slit width a, must be equal to the wavelength λ
That is, every point on one side of the slit must have a corresponding point that is 180 degrees out of phase on the other side of the slit so the corresponding point on the screen receives no light,
This condition is also known as the Rayleigh criterion for the first dark fringe. It gives the angle at which the first dark fringe will appear in the diffraction pattern for a given wavelength of light and slit width.
When light waves pass through a single slit of width w, they diffract and create a diffraction pattern on a screen placed behind the slit. The pattern consists of a central bright fringe flanked by a series of alternating bright and dark fringes. The condition for the first dark fringe can be determined using the following formula:
sin θ = λ/w
where θ is the angle between the line normal to the slit and the direction of the dark fringe, λ is the wavelength of the light, and w is the width of the slit.
For the first dark fringe, the angle θ is equal to the smallest angle for which the path difference between the waves from the top and bottom edges of the slit is λ/2. This means that the condition for the first dark fringe is:
sin θ = λ/2w
For more question on Rayleigh criterion click on
https://brainly.com/question/13090441
#SPJ11
Help please (20 pts) I think it's C
What does "think of concrete examples" mean?
A. It means you come up with as many examples as you can in five minutes.
B. It means your thinking is getting too stiff, like concrete.
C. It means you think about how you can imagine the problem as a concrete block.
D. It means think of a real-life example you can relate to that has to do with what you’re learning.
Answer:
I'm not sure it is c I'm sure it is d
Which factor has the most significant influence on a liquid's surface tension?
A. The chemical reactivity of its atoms
B. The pH of the substance
C. The mass of the substance
D. The strength of the electric forces between its molecules
Answer:
I think it may be either A. or C.
Explanation:
A factor which has the most significant influence on a liquid's surface tension is: D. The strength of the electric forces between its molecules.
Surface tension is a property of liquid such as water, which makes its surface to resist an external force due to the cohesive nature of the liquid's molecules.
Hence, the surface tension of a liquid is highly dependent on the electric (cohesive) forces of attraction existing between its molecules.
Additionally, the surface tension of a liquid is an inward force which tends to minimize its surface area rather than maximizing its surface area.
In conclusion, the strength of the electric (cohesive) forces of attraction between a liquid's molecules has the most significant influence on a liquid's surface tension.
Read more: https://brainly.com/question/11348644
What happens to a circuit's resistance (R), voltage (V), and current (1) when
you change the thickness of the wire in the circuit?
A. V and I will also change, but R will remain constant.
B. R and I will also change, but V will remain constant.
O C. R, V, and I will all remain constant.
OD. R and V will also change, but I will remain constant.
When you change the thickness of the wire in a circuit, option B. the resistance (R) and current (I) will also change, but the voltage (V) will remain constant.
The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area (thickness). As the thickness of the wire changes, the cross-sectional area changes, which in turn affects the resistance. Thicker wires have a larger cross-sectional area, resulting in lower resistance, while thinner wires have a smaller cross-sectional area, resulting in higher resistance. Therefore, changing the thickness of the wire will cause a change in resistance.
According to Ohm's Law (V = IR), the voltage (V) in a circuit is equal to the product of the current (I) and the resistance (R). If the voltage is kept constant, and the resistance changes due to the thickness of the wire, the current will also change to maintain the relationship defined by Ohm's Law. When the resistance increases, the current decreases, and vice versa.
However, it's important to note that changing the thickness of the wire will not directly affect the voltage. The voltage in a circuit is determined by the power source or the potential difference applied across the circuit and is independent of the wire thickness. As long as the voltage source remains constant, the voltage across the circuit will remain constant regardless of the wire thickness. Therefore, the correct answer is option B.
know more about current here:
https://brainly.com/question/1100341
#SPJ8
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)
Learn more about motion here:
https://brainly.com/question/25951773
#SPJ11
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.
To obtain the number of meters from a distance measured In centimeters, you must ____ by the number _____
Answer:
Divide by the number 100
Explanation:
Since there are 100 centimeters in 1 meter, we can see that if you are given a number in centimeters, the number of meters is that number divided by 100. Hope this helps!
Answer:
Divide by 100
Explanation:
ditto sound waves espace room answers please I need this urgently
The actual question should be did the sound waves escape room?
Yes they can escape the room
Sound always needs a medium to travel throughIf you close the room form all where that even air can't go outside you will be able to hear no sound coming from room .What is health literacy?
Health literacy is knowing about health and knowledge of of right healthcare and services, taking care of diseases or just knowledge or taking care of your own health.
help me with physics
Answer:
z3
Explanation:
If the mass of the sun is 3x, at least one planet will fall into the habitable zone if I place a planet in orbits___, ____, ____, and ____, and all planets will orbit the sun successfully.
When Earth is closer to the sun, there will be hotter climate. A little movement that takes one closer to the sun could lead to a huge impact.
Impact of the distance of the sun
If I put a planet in orbits 2, 6, and 75, all planets will orbit the sun successfully if the sun's mass is 1x, and at least one planet will fall inside the habitable zone.
If I put a planet in orbits 84, 1, and 5, at least one of them will fall into the habitable zone if the sun's mass is 2x, and all planets will orbit the sun successfully.
If I put a planet in orbits 672 and 7, at least one of them will fall into the habitable zone if the sun's mass is 3x, and all planets will orbit the sun successfully.
Learn more about the sun:https://brainly.com/question/1737672
#SPJ1
A jet plane travels east for
661.8 meters in 6 seconds.
What is the velocity of the plane?
velocity = distance = time
3,970.8
Explanation:
v=661.8×6
3,970.8
I need help
Tell us what activity is engaged in malala yousafiza what he is fighting for. Her life.
What a reward she got.
Express opinions about it
Answer:
the activity in this is not an easy way to do it in my mind and the heart of the city is not a bad day to get to a new report from the University of Texas I think that it was not until you are looking for a way that it would have been a great job in the world and is not intended to limit the scope of this invention to provide a method and system and a lot of people are going to get.
the acceleration of an object is due to the net force on the object and the objects?
Answer:
The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object.
the 28-cm-diameter disk in (figure 1) can rotate on an axle through its center. for general problem-solving tips and strategies for this topic, you may want to view a video tutor solution of nutcracker.
The 28-cm-diameter disk in (figure 1) can rotate on an axle through its center clockwise with net torque 0.7 Nm.
How is the net torque calculated?Given from figure is ,
D = 28 cm = 0.28 m
r = D/2 = 0.14 m
θ = 45°
F₁ = 30N
F₂ = 20N
F₃ = 30N
To calculate net torque,
∴ τ = -(F₁ × r) + (F₂ × r/2) + (F₃ × r/2 )(sin 45°)
∴ τ = -(3 0 × 0.14) + (20 × 0.07) + (30 × 0.07 × 0.707)
∴ τ = -(4.2) + (1.4) + (2.1)
∴ τ = -0.7 Nm
The net torque about the axle will be -0.7 Nm and the negative sign indicates that it is clockwise .
What is the net torque?The net torque is easily found by adding the torques produced about the axis by forces that are at a perpendicular distance from the axis and whose lines of action do not touch the center point.Here, clockwise is negative and counterclockwise is positive. The torque due to a force can be easily expressed as the product of the force and the vertical distance between the center and the force (also called the force arm).
Can learn more about calculating net torque from https://brainly.com/question/25438456
#SPJ4
In practice, darkness, various weather conditions, maintenance, and the angle of the Sun limit the production of each photovoltaic cell to about 15% efficiency. Assuming the photovoltaic cells you are using to power your cabin operate at 15% efficiency, how many would you need to meet your electrical needs
Photovoltaic cells are the best way to generate renewable energy and meet electrical needs. However, in practice, many factors limit their efficiency. These factors include darkness, various weather conditions, maintenance, and the angle of the Sun. Each photovoltaic cell can produce up to 15% efficiency.
Hence to meet the electrical needs of a cabin, it is essential to calculate the number of photovoltaic cells required.The efficiency of each photovoltaic cell is 15%. Therefore, 100/15 = 6.66 solar panels would be required to meet the electrical needs of the cabin. However, this is an estimated value and depends on various factors such as the cabin's location, power consumption, weather conditions, etc.
To accurately determine the number of photovoltaic cells required, it is essential to perform an energy audit of the cabin. An energy audit helps determine the cabin's energy consumption and identifies energy-saving opportunities. The energy audit also considers the cabin's location and weather conditions, which helps to accurately determine the number of photovoltaic cells required.
In conclusion, if the photovoltaic cells operate at 15% efficiency, 6.66 solar panels would be required to meet the electrical needs of the cabin. However, to determine the accurate number of photovoltaic cells required, an energy audit is necessary. The audit considers the cabin's energy consumption, location, and weather conditions, which helps to accurately calculate the number of photovoltaic cells required.
To know more about Photovoltaic visit:
https://brainly.com/question/18417187
#SPJ11
A mass attached to a spring is displaced from its equilibrium position by 5cm and released. The system then oscillates in simple harmonic motion with a period of 1s. If that same mass–spring system is displaced from equilibrium by 10cm instead, what will its period be in this case?.
The period of the pendulum is √2 seconds.
We need to know about pendulum experiments to solve this problem. The pendulum is a simple experiment to calculate gravitational acceleration. The gravitational acceleration can be calculated by
g = 4π² . L / T²
where g is gravitational acceleration, L is the length of the string and T is the period.
From the question above, we know that:
T1 = 1 s
L1 = 5 cm
L2 = 10 cm
By using proportionality, the squared period is proportional to the length. Hence,
T² ~ L
Using the ratio, we can write
T1² / T2² = L1 / L2
1² / T2² = 5 / 10
1 / T2² = 1 / 2
T2² = 2
T2 = √2 second
Find more on pendulum at: https://brainly.com/question/26524032
#SPJ4
Two rows of fluorescent lamps are installed in an office on the same branch circuit, with each row drawing 12.5 amperes. The source voltage is 277 volts, and the total line resistance of the circuit conductors is 0.5 Ω. The wire used has a constant (k) of 12.6. What is the percentage of voltage drop? (Round the FINAL answer to one decimal place.)
According to the solving the percentage of voltage drop is 2.8%
Let V = Source voltage
= 277 volts
Let R = Total line resistance of the circuit conductors
= 0.5 Ω
Let A = Each row drawing
= 12.5 amperes
Let k = 12.6
The voltage drop formula is given by:
Vdrop = kRA
Where; Vdrop = Voltage drop
= Constant of the wire
= Total line resistance
A = Load Current
Putting the given values in the voltage drop formula, we get;
Vdrop = 12.6 x 0.5 Ω x (12.5 + 12.5) amps
Vdrop = 12.6 x 0.5 Ω x 25 amps
Vdrop = 7.875 volts
Percentage of Voltage drop = (Vdrop / V) x 100%= (7.875 / 277) x 100%
Percentage of Voltage drop = 2.8427 % ≈ 2.8%
Therefore, the percentage of voltage drop is 2.8%.
To learn more about voltage, visit:
https://brainly.com/question/32002804
#SPJ11