The complete table representing the energy description at different stages is
Least Potential Energy [2]
Most Potential Energy [1]
Potential Energy to Kinetic energy [4]
Kinetic energy to Potential Energy [3]
What is Potential Energy and Kinetic Energy?Potential energy of a body that is due to its position. To be more precise, the potential energy of a body of mass 'm' at height 'h' will be -
P[E] = mgh
Kinetic Energy of a body is the energy due to virtue of its motion. Mathematically -
K[E] = 1/2 mv²
Given is a image of a roller coaster ride and a table describing the energy magnitude theoretically.
As mentioned, Potential energy of a body that is due to its position and is given by - P[E] = mgh. Let's complete the energy table given -
1 → Location with least potential energy
From the formula -
P[E] = mgh
mg = constant
P[E] [tex]\alpha[/tex] h
Now, the point 2 represents the minimum height, therefore Point 2 is the location with least potential energy.
2 → Location with most potential energy
We know -
P[E] [tex]\alpha[/tex] h
The point with maximum height is 1, therefore it will represented by Point 1.
3 → Conversion of potential to kinetic energy
Assume that the velocity of the roller coaster is v. Now at point 1, the velocity will be zero. Therefore, the total energy of the roller coaster will be purely potential energy. When it starts to move from point 1 to point 4, its height will decrease and its velocity will increase. Therefore - at this stage (point 4), the potential energy will start to convert into kinetic energy.
4 → Conversion of kinetic to potential energy
Use the same concept discussed in part - 3. In this case it is moving from lower point to higher point. So, height will increase and velocity will decrease. Therefore, the point 3 represents the stage at which kinetic energy will start to convert into potential energy.
Therefore, the complete table representing the energy description at different stages is
Least Potential Energy [2]
Most Potential Energy [1]
Potential Energy to Kinetic energy [4]
Kinetic energy to Potential Energy [3]
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Your friend is sitting on another train traveling west at 29 m/s. as you walk toward the back of your train at 3.7 m/s, what is your velocity with respect to your friend?
The relative velocity with respect to my friend is 32.7 m/s.
We need to know about relative velocity to solve this problem. The relative velocity depends on the object and observer velocity. It can be written as
v = vo ± v'
where v is relative velocity, vo is object velocity and v' is observer velocity.
From the question above, we know that
vo = 29 m/s
v' = 3.7 m/s
The velocity will be added each other because the direction of the observer is different from the object.
v = vo + v'
v = 29 + 3.7
v = 32.7 m/s
Hence, the relative velocity with respect to my friend is 32.7 m/s.
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What is magnetism?????
Answer: a physical phenomenon produced by the motion of electric charge, resulting in attractive and repulsive forces between objects.
Explanation: Magnetism is the force exerted by magnets when they attract or repel each other. Magnetism is caused by the motion of electric charges. Every substance is made up of tiny units called atoms.
Suppose a rock is dropped into a well 49 meters deep. determine the amount of time t it takes for the rock to hit the bottom of the well.
It takes 3.16s to hit the bottom of the well.
Calculationg = 9.8 m/[tex]s^{2}[/tex]
y = 9.8t m/[tex]s^{2}[/tex]
y = [tex]\frac{9.8 t^2}{2}[/tex] = 4.9[tex]t^{2}[/tex] m
When y =49, we have to find t
49 = 4.9[tex]t^{2}[/tex]
10 = [tex]t^{2}[/tex]
t = [tex]\sqrt{10}[/tex] = 3.16 s
Motion under gravityGravity causes a body to descend faster, and as it does, the air resistance that slows it down rises.
This keeps happening until the weight of the object and the force of air resistance are equal. The terminal velocity is the pace at which the item now falls instead of accelerating any longer.
What do you mean by motion in a gravitational field?When an object moves, it is said to be in motion under gravity since gravity has an impact on the object’s motion.
GRAVITY is the force that pulls things downward. In actuality, gravity pulls objects toward the Earth’s center.
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Consider an incandescent lightbulb. If you wanted to turn a 10-w lightbulb into a 100-w lightbulb, how would you change the temperature of the filament inside the bulb?.
By using the blackbody radiation formula, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.
We need to know about black body radiation to solve this problem. The energy radiated by a black body object is proportional to the area and the fourth power of temperature. It can be determined as
P = A . e . σ . T⁴
where P is power, A is surface area, e is emissivity, σ is Stefan Boltzmann's constant ( 5.67 x 10¯⁸ W/m²K⁴) and T is temperature.
From the question above, we know that
P1 = 10 watt
P2 = 100 watt
T1 = T1
By using the black body radiation formula, the ratio of temperature is
T1⁴ / T2⁴ = P1 / P2
Hence,
T1⁴ / T2⁴ = P1 / P2
T1⁴ / T2⁴ = 10 / 100
T1⁴ / T2⁴ = 1 / 10
T2⁴ = 10T1⁴
T2 = ⁴√(10T1⁴)
T2 = T1 x 10⁰'²⁵
Thus, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.
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Marcus performed an investigation and collected data. He wants to display his data on a graph. He has decided to use a line graph to show the data.
Which data did he most likely collect during his investigation?
The data which Marcus most likely collected during his investigation is a quantitative data.
What is a quantitative data?A quantitative data is also referred to as a numerical data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a quantitative data (numerical data) simply refers to a data set consisting of numbers rather than words.
The types of graph.In Science, there are different types of graph and these include the following:
Scatter plotBar graphPie chartDot graphHistogramLine graphWhat is a line graph?A line graph is sometimes referred to as scatter chart, scatter plot, scatter diagram or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables in a quantitative data, with the resulting points showing any association (correlation) between the data set.
In this context, we can reasonably infer and logically deduce that the data which Marcus most likely collected during his investigation is a quantitative data because a line graph is generally used to represent quantitative data.
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Is the normal force from a floor on a suitcase always equal in magnitude to the weight of the suitcase?
Yes the normal force from a floor on a suitcase always equal in magnitude to the weight of the suitcase.
What is normal force?
The part of a contact force that is perpendicular to the surface that an object encounters is known as the normal force. In this context, normal refers to perpendicular in a geometric sense rather than "usual" or "expected" as it does in everyday parlance. Gravity acts on a person standing stationary on a platform. If there weren't a countervailing force from the resistance of the platform's molecules, known as the "normal force," gravity would draw the person down toward the Earth's core.
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A ball is thrown upward from the ground with an initial speed of 23.4 m/s; at the same instant, another ball is dropped from a building 20 m high. after how long will the balls be at the same height?
After 0.85s, the ball would be at the same height.
CalculationA ball is thrown upward from the ground with an initial speed of 23.4 m/s; at the same instant, another ball is dropped from a building 20 m high....
We know that from the equation of motion,
h = u t + 1/2 at^2
So h = height, u is initial velocity and t is time, a is acceleration
Now for the ball thrown upwards
h = 23.4 t – 1/2 gt^2
23.4 t – h = 1/2 gt^2
Now for the ball dropped downwards
20– h = 1/2 gt^2
Comparing both the equations we get
23.4t – h = 20 – h
23.4 t = 20
So t = 20/23.4
Or t = 0.85 secs
The balls will be at same height when t = 0.85 s
Motion under gravityGravity causes a body to descend faster, and as it does, the air resistance that slows it down rises.
This keeps happening until the weight of the object and the force of air resistance are equal. The terminal velocity is the pace at which the item now falls instead of accelerating any longer.
What do you mean by motion in a gravitational field?When any object moves, it is said to be in motion under gravity. This is because gravity has an impact on the object’s vertical motion.
Gravity is the force that pulls things downward. In actuality, gravity pulls objects toward the Earth’s center.
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The input voltage to a transformer is 120v rms ac to the primary coil of 1000 turns. what are the number of turns in the secondary needed to produce an output voltage of 10v rms ac?
The transformer secondary turns should be 83 turns.
We need to know about the transformer to solve this problem. Transformer is a device that can increase or reduce the voltage. The changed voltage depends on the current and number of coil turns. It can be written as
Vi / Vs = Ni / Ns = Is / Ii
where Vi is input voltage, Vs is output voltage, Ni is primary turn, Ns is secondary turn, Is i output current and Ii is input current.
From the question above, we know that
Vi = 120 V
Ni = 1000 turns
Vs = 10V
By substituting the following parameters, we can calculate the secondary turns
Vi / Vs = Ni / Ns
120 / 10 = 1000 / Ns
Ns = 1000 / 12
Ns = 83 turns
Hence, the transformer secondary turns should be 83 turns.
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A light plane must reach a speed of 39 m/sm/s for takeoff. part a how long a runway is needed if the (constant) acceleration is 3.0 m/s2m/s2 ?
The runway should be 253.5m for a light plane that needs to reach a speed of 39 m/s for takeoff.
Concept of accelerationThe rate at which the speed and direction of a moving object vary over time is called as acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates.
Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.
What is acceleration?In physics, acceleration is the rate at which the velocity of an object changes in relation to time.
According to Newton’s Second Law, the sum of all forces acting on an item results in its acceleration.
Meter per second squared (m s2) is the unit of acceleration used in the SI system.
CalculationWe know from the equation,
V^2 = u^2 + 2as → 1
Here a = acceleration of the light plane
v = final velocity of the light plane
u = initial velocity of the light plane
s = length of the runway
Then we also know that
s = (v^2 - u^2) / 2a → 2
v = 39m/s
u = 0m/s
a = 3 m/s^2
Then substituting these values in equation 2,
s = (39^2 - 0) / (2x3)
s = 1521/6
s = 253.5 m
The runway needed is 253.5m long.
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what is position vs time
Answer: A position- time graph shows how far an object has traveled from its starting position at any given time since it started moving. The steeper the line is, the greater the slope of the line and the faster the object's motion is changing
Explanation:
what is the velocity between 0s & 5s. (picture is given) Please assist (will give branliest)
Answer: the velocity is -2
Explanation: good luck don't think its wrong everyone calls me the human calculator
If the electric forces of repulsion between two 1.0 c charges have magnitude 10 n, how far apart are they?
They are far apart r=1.52×10−14m
Explanation:
For the force due to electromagnetism we use Coulomb’s inverse square law:
F=[tex]K_{e}[/tex] [tex]\frac{q1 q2}{r^{2} }[/tex]
(where F is the electrostatic force, q1 & q2 are the two charges, r is the distance between them, and Coulomb’s Constant
ke = 1/4πϵ0 =8.99×109 Nm2[tex]C^{-2}[/tex],
where ϵ0 is the permittivity of free space
r = [tex]\sqrt[2]{k_{e}\frac{q1 q2}{F} }[/tex]
r= [tex]\sqrt{8.99*10^{9}Nm^{2} C^{-2}\frac{-1.60*10^{-19}*-1.60*10^{-19} }{1.0N} } }[/tex]
r = 1.52×10−14m
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Represent each of the following quantities with combinations of units in the correct si form, using an appropriate prefix: (a) mm-mn (b) mg/mm (c) km/ms (d) kn/(mm)2
The international system of units is also known as SI units. It was introduced to remove the confusion between many units. According to standard international form, the SI units of various quantities are listed below:
Mass = kg
Length = m
Time = s
Force = N
To obtain the SI units of the following dimensions, they must be converted to universal standard by expressing them by the given relations:
mm-mN = ×10-3 * x10-3 = 1 x10-6 N.m
mg/mm = ×106 kg /10-3m = 1×109 kgm-1
km/ms = ×103 m /x10-3 s = 1×106 ms-1
kN/(mm)2 = ×103 / ×10-3 = 1×106 Nm-2
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A plane convex lens is made of glass ( n = 1.5) with one flat surface and the other having a radius of 20 cm. what is the focal length (in cm) of the lens?
The focal length (in cm) of the lens is 400
The distance between a lens's center and its focus is known as the focal length of a convex lens. An optical device's focal length, which is just the inverse of the system's optical power, measures how strongly/sharply the system converges or diverges light.
A plane mirror is one having a flat surface, as those found frequently in home mirrors. It has an infinite focal length. Its optical power is 0 since it does not cause light to converge or diverge.
Given:
n=1.5
R2 = 20 cm
R1= ∞ since it is a flat surface
1/f = (n-1) (1/R1-1/R2)
Substituting values,
1/f = (1.5- 1) (1/∞-1/20)
1/f = (0.5) (-1/20)
= 1/400
F=400
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During a basketball game, a player jumps straight up to dunk a ball. The news reports his hang time is 3 seconds. Neglecting air resistance, how high would this mean the player jumped? Do you think this is an achievable height? Give your reasons and show work
The height through which the player will jump is determined as 44.1 m.
Height through which the player will jumpThe height through which the player will jump at the given time is calculated as follows;
h = vt + ¹/₂gt²
where;
v is the initial velocity of the basketball player
t is the time of motiong is acceleration due to gravitySubstitute the given parameters and solve for the height jumped by the player.
h = 0 + ¹/₂(9.8)(3²)
h = 44.1 m
Thus, the height through which the player will jump is determined as 44.1 m.
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If a student walks 160 m east and 80 m west in 67 s, then what is her average velocity?
Answer:
3.58
Explanation:
160 + 80 = 240
240 / 67 = 3.58
The average velocity of the student who walks 160 m east and 80 m west in 67 s is 1.194 m/s.
What is Average velocity?It is defined as the rate of change of displacement with respect to time.
Mathematically -
v = Δx/Δt
Given is a student who walked 160m east and then 80m west in 67 s.
Assume east direction as + x direction and west direction as - x direction, then →
Displacement 1 = 160 a[x]
Displacement 2 = - 80 a[x]
Displacement = Δx = 160 a[x] + 80 {- a[x]} = 80a[x]
Time elapsed = Δt = 67 seconds
Where (a[x] is unit vector along x - axis and -a[x] along negative x - axis)
Therefore, the magnitude of average velocity of the student will be -
v = |Δx|/Δt
v = 80/67
v = 1.194 m/s
Therefore, the average velocity of the student who walks 160 m east and 80 m west in 67 s is 1.194 m/s.
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Can somebody help me?
The descriptions of the points in the heating curve of water are:
Leg A: solid warms from -40C to OCLeg B: meltingLeg C: Liquid warms from O °C to 100 °CLeg D: EvaporationLeg E: Water vapor warms from 100CWhat is a heating curve for a substance?A heating curve for a substance is a curve which show the phase changes that occur in the substance as the substance is heated over a period of time.
The addition of heat to substances result in an increase in volume and a change of state.
Water can exist in the three physical states of matter, which are solid, liquid, and gas.
A graph showing the changes that occur in water as heat is added to it is referred to as the heating curve of water.
Considering the heating curve of water shown, water exists first as a solid, then liquid, and finally a gas as heat is added to it.
The various descriptions of the point in the heating curve of water are as follows:
Leg A: solid warms from -40C to OC
Leg B: melting
Leg C: Liquid warms from O °C to 100 °C
Leg D: Evaporation
Leg E: Water vapor warms from 100C
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Imagine a simple spring, a simple harmonic oscillator where where the mass is 1 kg and the spring constant is 10 N/m.
The angular frequency would be around 3.162 and frequency would be 0.503 (I think). I was doing a question and the question said if the mass of this system gets increased with a factor of for, so for a 4 kg, how does the frequency change?
I calculated it to be 2.4834 but the answer said it will decrease to 1/2 of its original value. How can it decrease when it has clearly have increased from 0.503 to 2.4834? Did I calculate wrong?
Note: I might have calculated the frequencies wrong, steps of how to do it will be appreciated as well.
When the mass is increased by 4, the frequency would decrease by a factor of 2 hence we have 0.795 Hz.
What is the spring constant?We know that a simple harmonic motion is a motion that is directed towards the center of the motion. The acceleration has the center as its direction.
We must first be able to obtain the angular velocity and then use it to obtain the velocity of the body that is undergoing the simple harmonic motion.
Now, we have;
ω = √k/m
ω = angular velocity
k = spring constant
m = mass of the object
ω = √10 N/m/1 kg
ω = 10 rad/s
And
ω = 2πf
f = ω/2π
f = 10 rad/s 2 * 3.14
f = 1.59 Hz
If we increase the mass by 4, the frequency would decrease by a factor of 2 hence we have 0.795 Hz.
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what distance is required for a train to stop if its initial velocity is 23m/s and its deceleration is 0.25m/s²?(Assume the train decelerates at a constant rate.)
Answer:
92 meters
Explanation:
23/0.25
It is going 23 meters per second and can slow down by 0.25 meters per second
A 40.80 kg keg of beer slides upright down a 2.90 m long plank leading from the back of a truck 1.20 m high to the ground. determine the amount of work done on the keg by gravity.
18 Mg/ L is the amount of work done.
It should be converted to energy in order to move an object. Energy can be transferred by the use of force. Work done refers to the amount of energy used by a force to move an object. A force must be applied in order for work to be completed, and there must also be motion or displacement in the force's direction. The amount of force multiplied by the distance moved in the force's direction is known as the work done by a force acting on an item.
Assume that the element's length at distance x from the table is dx.
Let's assume that W= M/L* dx*g(x) and that the entire work completed will take up 1/3 of the table.
W=M/L g(x)dx W=M/L g(x)dx
W= 18 MgL
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A gas contracts as it cools. if it has 200 j of work done on it and it loses 106 j of heat to the surroundings, what is its internal energy change in joules? question 9 options:
a. 306
b. -106
c. 94
d. -94
e. -306
The change in internal energy of a gas as it cools is 94 J.
According to the First Law of Thermodynamics,
ΔU = q + w
Here ΔU represents the change in internal energy
Q represents the heat added to the system
W represents the work done on the system
In the given case, work is done on the system, and heat is removed from the system.
Hence, W = 200 J AND Q= -106 J.
Putting the above values in the standard equation
ΔU = 200 - 106
ΔU = 94 J.
Hence, the change in internal energy is 94 J.
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Silver ants can run at 50 cm sec . if a super silver ant was capable at running at a constant speed from san diego to new york city (2,760 mi), how many days would it take?
The silver ant at a constant speed of 50 cm/s to run from san diego to new york city it would take: 102.789 days
The formula and procedure we will use to solve this exercise is:
t = x/v
Where:
x = distancet = timev = velocityInformation about the problem:
v =50 cm/sx=2,760 mit = ?By converting the velocity units from (cm/s) to (mi/s) we have:
v =50 cm/s * 1 mile/160,900 cm
v = 3.1075 *10^-4 mi/s
Applying the time formula we have that:
t = x/v
t = 2,760 mi / 3.1075 *10^-4 mi/s
t = 8.881 *10 ^6 s
By converting the time units from (s) to (days) we have:
t = 8.881 *10 ^6 s * 1 h/3600 s * 1 day/24 h
t= 102.789 days
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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Which statements are real-world applications of life science? Check all that apply.
The statements that apply to life sciences are;
Farmers study plant growth and are able to grow more fruits and vegetables.Doctors can determine what is wrong with a patient and prescribe the right medicine.Scientists can track animal movements and predict where they might be feedingDentists recommend you brush and floss daily because bacteria cause tooth decayWhat is life science?Life science has to do with the study of living things. This is the area of study that we call biology. It is a discipline that has many facets and we always seek to understand living things and how they relate with their environment as well as other living things.
The following are the statements that apply to the life sciences;
Farmers study plant growth and are able to grow more fruits and vegetables.Doctors can determine what is wrong with a patient and prescribe the right medicine.Scientists can track animal movements and predict where they might be feedingDentists recommend you brush and floss daily because bacteria cause tooth decayLearn more about life science;https://brainly.com/question/12842883
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Missing parts;
Which statements are real-world applications of life science? Check all that apply.
Farmers study plant growth and are able to grow more fruits and vegetables.
Doctors can determine what is wrong with a patient and prescribe the right medicine.
Scientists study weather patterns to provide information about future weather
Scientists can track animal movements and predict where they might be feeding
Dentists recommend you brush and floss daily because bacteria cause tooth decay
Answer: A, B, D, E
Explanation:
A. Farmers study plant growth and are able to grow more fruits and vegetables.
B. Doctors can determine what is wrong with a patient and prescribe the right medicine.
D. Scientists can track animal movements and predict where they might be feeding.
E. Dentists recommend you brush and floss daily because bacteria cause tooth decay.
A family is planning a ski vacation. The local meteorologist predicts that a cold front will move in. What weather can they expect for the trip? (1 point)
A.severe rain
B.hot and sunny
C.severe weather as the front moved through, temperatures would drop
D.warm air will cool and condense, possibly light snow
The prediction of the meteorologist, the family is to expect a severe rain as they embark on the vacation. Option A
What is weather?The term climate refers to the average weather condition of a place over a long period of time. The weather in a place changes from time to time. The weather of a place could be forecasted by a meteorologist. The meteorologist is a scientist that has been trained in the science of how to interpret weather patterns and also make predictions.
The meteorologist can be able to use the tools of the profession to discern what could be the weather condition of a place at any given point in time and announces the same by the process of giving a weather forecast.
Hence, the local meteorologist predicts that a cold front will move in; this implies that there is a cooler mass of air near the surface.
This implies that from the prediction of the meteorologist, the family is to expect a severe rain as they embark on the vacation.
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If net work is done by a system containing an ideal gas, the sign of is _____ according to convention, and represents a(n) _____ in the volume and a(n) _____ in the internal pressure of the gas.
If net work is done by a system containing an ideal gas, the sign of is negative according to convention, and represents a(n) decrease in the volume and a(n) decrease By convention, in the internal pressure of the gas.
A theoretical gas known as an ideal gas is made up of several randomly moving point particles and only interacts through completely elastic collisions.
There are two equations of state that can be used to describe the classical thermodynamic characteristics of an ideal gas: The equation of state for an ideal gas, as determined by: Absolute temperature is denoted by T.
The ideal gas law is a development of the gas laws that were found through experiment. It may also result from analysis of microscopic factors. As a result, if we shift the ideal gas law's pressure, volume, and temperature onto the same side, we obtain This demonstrates that as long as a gas's mole (or molecule) count stays constant, its amount will not change.
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A solid piece of lead has a mass of 29.92 g and a volume of 2.68 cm3. from these data, calculate the density of lead in si units
The solid pieces of lead with a mass of 29.92 g has a density of 11,164 Kg/ m3.
To find the density the given values are,
v = 2.68 cm3
m = 29.92 g
What is density?The density is a mass of a unit volume of a material substance. It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.
Density is a scalar quantity.
The unit of density is kg/m³.
The density formula and the procedure we will use is:
ρ = m/v
Where:
v= volume
ρ= density
m= mass
Applying the density formula, we get:
ρ = m/v
ρ = 29.92 g/ 2.68 cm3
ρ(g/cm3) = 11.164 g/cm3
Converting the density from (gram g /cm3) to (kilogram/m3), we get:
11.164 g/cm3 * (1 kg/1000g) * (1000000 cm3/1 m3) = 11,164 Kg/ m
11.164 g/cm3 is equivalent to 11,164 Kg/ m3
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If a proton is moved from point 1 to point 2, how will the potential energy of the charge-field system change? how will the potential change?
The potential energy of the charge-field system change is decreases
As a proton is a positively charged particle, it experiences the force against the electric field, directed from point 2 to 1 , which is constant, given by,
F = e×E, right to left. When a proton is moved in such a way from point 1 to point 2, work done is against the force & the potential energy increases U = F×d = e×E×d.
But an electron is negatively charged, with the same value, so that force experienced is along the field. Thus work is done by the field itself & potential energy decreases. It is similar to a body which falls under gravity.
Hence the option decreases/ decreases is correct.
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PLEASE SOMEONE EXPLAIN THIS :(
The force constant of the spring is calculated as 0.57 N/cm.
What is Hooke’s law?Hooke’s law states that the force that acts on an elastic substance is directly proportional to the extension as long as the elastic limit is not exceeded. We know that the statement of Hook’s law can only apply to an object when the object is still within the range of elasticity. If the object has reached the point where it has become plastic, that is, the object has completely lost all of its elasticity, then we could say that the Hook’s law can not hold in such an instance.
Mathematically, we could write;
F = Kx
F = force that causes the stretching of the object
K = the force constant
X = the extension.
We know that in the plot of the force against the extension, the slope is the force constant. Taking two points on the graph, it is possible to obtain the force constant as follows;
K = 2 – 0/3.5 – 0
K = 0.57 N/cm
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what is least count error
Answer: The least count error is the error associated with the resolution of the instrument. A metre ruler may have graduations at 1 mm division scale spacing or interval. A Vernier scale on a caliper may have a least count of 0.1 mm while a micrometer may have a least count of 0.01 mm or 10 microns.
Explanation:
The least count of an instrument is the smallest measurement that can be taken accurately with it.
For example, if an ammeter has 5 divisions between the marks 0 and 1A, then its least count is 1/5 = 0.2 A or it can measure current up to the value 0.2 accurately.
A tensile test was conducted on a mild steel bar. the diameter and the gauge length of bat was 3cm and 20cm respectively. the extension was 0.21mm. what is the value to strain?
The value to strain is 0.00105.
When an object or medium is stressed, it deforms. Strain is the number that describes this distortion (deformation is experienced by objects or physical medium as a result of external forces—for). Strain is expressed as a fractional change in length (when under tensile stress), volume (when under bulk stress), or shape (under shear stress). As a result, strain is a dimensionless quantity. Tensile strain is strain produced by tensile stress, bulk strain (or volume strain) is strain generated by shear stress, and shear strain is strain induced by shear stress.
Strain = changes in length/ Original length
Strain = dL/L
= 0.21/200
= 0.00105
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