The energy needed for change 10 grams of water is 5.7.
What is Energy ?Energy is the ability to perform work in physics. It could exist in several different forms, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc.
Energy is always assigned based on its nature once it has been transmitted. Thus, heat transmitted may manifest as thermal energy while work performed may result in mechanical energy.
Motion is a property of all energy types. For instance, if a body is moving, it possesses kinetic energy. Even while at rest, a tensioned object like a spring or bow has the ability to move; this is because of its design, which includes potential energy.
Therefore, The energy needed for change 10 grams of water is 5.7.
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A tennis ball thrown at a velocity of 25.0 m/s at 53.1° lands exactly 3.00s later on the top of a building. Calculate the horizontal distance it traveled and the height of the building.
Answer:
horizontal distance it traveled is 45 m
the height of the building is 15 m
Explanation:
X = Vo cos 53.1 . t = 25 x 0.6 x 3
X = 45 m
Y = Vo sin 53.1 t - 1/2 g t²
Y = 25 x 0.8 x 3 - 1/2 x 10 x 9
Y = 60 - 45
Y = 15 m
A 56.0 kg stunt pilot who has been diving her airplane vertically pulls out of the dive by changing her course to a circle in a vertical plane.
If the plane's speed at the lowest point of the circle is 100 m/s, what should the minimum radius of the circle be in order for the acceleration at this point not to exceed 4.00g ? Also, what is the apparent weight of the pilot at the lowest point of the pullout?
255.102 m is minimum radius of the circle be in order for the acceleration at this point not to exceed 4.00g
What is acceleration ?
Acceleration is defined as the rate of change of velocity over time for both velocity and direction. A point or object which is moving in a straight line accelerates as it accelerates or decelerates. Circumferential motion is accelerated as it always changes direction even at constant velocity. For all other exercise types both effects contribute to acceleration.
It is a vector quantity because it has magnitude and direction and velocity is also a vector quantity.
We are given that
Mass =m=56 kg
a. Speed , v=100 m/s
We have to find the minimum radius of the circle for the acceleration at this point not to exceed 4 g.
We know that ,
Radial acceleration, a= V^{2} /R
Therefore , R= 100 * 100/4g
Using the formula
We know that g=9.8 m /s^{2},
we get , R = 255.102 m
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The three wave pulses in (Figure 1) travel along the same stretched string. Part A Rank in order, from largest to smallest, their wave speeds va, Ub, and U. To rank items as equivalent, overlap them. Reset Help Figure < 1 of 1 > Largest Smallest Vc The correct ranking cannot be determined.
Part A Rank in order, from largest to smallest, their wave speeds va, Ub, and U is Va = Vb = Vc.
What is wave ?
An energy-conducting disturbance in a medium known as a wave is one that does not involve any net particle motion. It could manifest as elasto-deformation, a shift in pressure, electric or magnetic intensity, electric potential, or temperature.
What is speed ?
A shift in an object's location, either in direction or speed. How fast something is travelling is determined by how far it has travelled in relation to how long it took. Speed is considered a scalar quantity because it only has a direction and no magnitude.
Wave velocity depends on the tension in the string and mass per unit length of the string.
As these two variables will remain same for all the 3 strings so they will have equal velocities.
Va = Vb = Vc
Therefore, Part A Rank in order, from largest to smallest, their wave speeds va, Ub, and U is Va = Vb = Vc.
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You have negotiated with the Omicronians for a base on the planet Omicron Persei 7. The architects working with you to plan the base need to know the acceleration of a freely falling object at the surface of the planet in order to adequately design the structures. The Omicronians have told you that the value is gOP7=7.29 flurggrom2 , but your architects use the units metersecond2 , and from your previous experience you know that both the Omicronians and your architects are terrible at unit conversion. Thus, it's up to you to do the unit conversion. Fortunately, you know the unit equality relationships: 5.24flurg=1meter and 1grom=0.493second . What is the value of gOP7 in the units your architects will use, in metersecond2 ?
The value of gOP7 in the units architects will use, in metersecond2 is calculated as 5.72 m/s^2.
What is Omicron?Omicron Persei is triple star system in the constellation of Perseus. From parallax measurements that was taken during the Hipparcos mission, it is approximately 1,100 light-years (330 parsecs) from Sun.
We have available 2 conversion units.
5.24 flurg/m and 0.493 s/grom
I chose units to describe two conversions by making denominator equal to 1 in both cases, hence there are 5.24 flurgs per meter and 0.493 seconds per grom.
Now, it is given 7.29 flurg/grom^2 and we have to convert to m/s^2.
So, flurg/grom^2 / flurg/m
= flurg/grom^2 * m/flurg
= (m*flurg)/(grom^2 * flurg)
= m/grom^2
Now, 7.29 flurg/grom^2 / 5.24 flurg/m = 1.391221374 m/grom^2
Now, to convert from m/grom^2 to m/(s grom) using time conversion factor.
m/grom^2 / s/grom
= m/grom^2 * grom/s
= (m*grom)/(grom^2 * s)
= m/(grom * s)
As, 1.391221374 m/grom^2 / 0.493 s/grom
= 2.821950049 m/(grom s)
Similarly, 2.821950049 m/(grom s) / 0.493 s/grom
= 5.72403661 m/s^2
So, the value of gOP7 in metersecond2 = 5.72 m/s^2
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Three moles of an ideal gas are taken around the cycle abc shown in the figure (Figure 1) . For this gas, Cp=29.1 J/(mol?K). Process ac is at constant pressure, process ba is at constant volume, and process cb is adiabatic. The temperatures of the gas in states a, c, and b are Ta=300K, Tc= 492 K, and Tb= 600 K.
Calculate the total work W for the cycle
Moles in gas refer to the number of molecules of a given gas present in a sample of the gas.
What does Moles in gas mean?
Moles in gas refer to the number of molecules of a given gas present in a sample of the gas. This is typically expressed as a ratio of the number of moles of the particular gas compared to the total number of moles of all gases present in the sample. For example, if a sample of air contains 20 moles of oxygen, 10 moles of nitrogen, and 10 moles of carbon dioxide, the mole fraction of oxygen in the sample would be 0.5, meaning that for every mole of gas present in the sample, half of it is oxygen.
The total work W for the cycle:
W = (Cp)(Tc-Ta) + (Cp)(Tb-Tc) +(Cv)(Tb-Ta)
W = (29.1 J/mol K)(492K-300K) + (29.1 J/mol K)(600K-492K) + (20.8 J/mol
K)(600K-300K)
W = 84460 J
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Monochromatic 545-nm light is incident on a 15-μm-wide slit. If the diffraction pattern is cast on a screen 510 mm from the slit, what is the linear distance from the center of the pattern to the n = 4 dark fringe?
The linear distance from the center of the pattern to the n = 4 dark fringe is 0.7142m
What are dark fringes?Dark fringes are formed by destructive interference where the waves are out of the phase. Bright fringes are formed by constructive interference where waves are in phase.
d= 1.5 x 10^-6m
D = 510 x 10^-3
n=4
lamda = 545 x 10^-9m
Distance= 4 xD x λ/d
Distance= 4 x545 x 10^-9/1.5 x 10^-6
Distance= 0.7142mm
How do you calculate dark fringe?The distance between 2 adjacent dark or bright color fringes is mainly denoted as “fringe width”, calculated as the formula: “β = λD/d”. If the “resultant amplitude” is zero then the interference is determined as “destructive”.
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The atomic mass of of 5626Fe is 55.934939 u, and the atomic mass of 5627Co is 55.939847 u.
A.What type of decay will occur?
a. + (positron) decay
b. 42He (alpha) decay
B. How much kinetic energy will the products of the decay have?
Express your answer with the appropriate units.
The kinetic energy of the products of the decay depends on the masses of the products and their velocities.
What is velocity?Velocity is a vector quantity that measures the rate and direction of an object's movement. It is expressed in meters per second and is typically calculated with the formula distance divided by time. Knowing an object's velocity is useful for determining its speed, acceleration, and the total distance it has traveled. Velocity is one of the fundamental concepts in physics, which is why it is important to understand when studying the science.
If we assume that the decay occurs at rest, then the difference in the mass of the products and the parent nuclei is converted into kinetic energy. In this case, the mass difference is 0.06.
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An astronaut on the ISS is doing an experiment with two puffy Cheetos inside a carefully sealed container. A charge of 1.2 E−5 C is place on the first Cheeto. The second one receives a charge of 2.5 E−6 C. The force acting on the first Cheeto is 5.73 E−1 N. What is the distance between the Cheetos if k = 8.99 E9 N*m2/C2?
A. 40 cm
B. 49 cm
C. 60 cm
D. 70 cm
A. 40 cm
We can use Coulomb's law to calculate the distance between the two Cheetos:
F = k * (q1 * q2) / r^2
where F is the force acting on the first Cheeto, q1 and q2 are the charges on each Cheeto, k is the Coulomb constant and r is the distance between the two Cheetos.
Given that the force acting on the first Cheeto is 5.73 E−1 N, the charge on the first Cheeto is 1.2 E−5 C, the charge on the second Cheeto is 2.5 E−6 C and the Coulomb constant is 8.99 E9 N*m2/C2.
We can rearrange the equation to solve for the distance r:
r = (k * q1 * q2 / F)^(1/2)
r = (8.99 E9 N*m2/C2 * 1.2 E−5 C * 2.5 E−6 C / 5.73 E−1 N)^(1/2)
r = 0.04 m
So the distance between the two Cheetos is 40 cm.
You are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the thermosphere(really hot it is 2000 degrees fahrenheit)
PLS HELP PLS IMMA GET A BAD GRADE
You would need to survive the thermosphere: The temperature ( 2000° C or more), the cosmic radiation and even solar activities, low air pressure and low air molecule.
What is thermosphere?Between the mesosphere and the exosphere is the thermosphere. The word "thermo" refers to heat, and the layer's temperature can rise as high as 4,500 degrees Fahrenheit.
However, because there aren't enough gas molecules for you to get the heat from the thermosphere, hanging out there would make you exceedingly cold. Additionally, this indicates that there aren't enough molecules for sound waves to pass through.
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Make a prediction about what will happen when you click the green “Go!” button in the picture. Set up a simulation like that seen in the picture. Click the “Go!” button and describe what you observe. Did your observation match your initial prediction? Did the cart move in the direction of the greater force?
Answer:
Explanation:
yes
a baseball and a golf ball have the same momentum. which has the greater kinetic energy?
The golf ball has the greater kinetic energy because it has more mass than the baseball.
What is kinetic energy ?
Kinetic energy is the energy of motion. Kinetic energy is directly proportional to the mass of the object and to the square of its velocity. The total kinetic energy of an object is the sum of all the kinetic energies of its component parts. Kinetic energy is a scalar quantity, meaning it is described by a single scalar value. Kinetic energy is the energy of a body in motion. It is determined by the mass of the body and its velocity. It is measured in joules (J). It can be applied to a variety of objects, from a bowling ball to a wave. Kinetic energy is used in many everyday applications. It is used in the operation of machinery, such as in an automobile engine, where the kinetic energy of the moving parts is converted into mechanical energy.
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The surface area of a ball is measured to be A = 85 cm2.
a. Write an equation for the radius of the ball, r, treating it as a sphere, in terms of its surface area. Then calculate the radius.
b.The mass is measured to be M = 160 g. Calculate its density rho in g/cm3.
c. What is the density rhokg/m3 in kg/m3?
a)The radius is 2.6 cm and b) The mass is measured to 4.76 g/cm³ and c)0.00476 kg/m³ is the density kg/m³ in kg/m³.
What is Density ?The quantity of matter per unit volume is referred to as densities (volumetric mass density or specific mass). Density is most frequently represented by the lowercase Greek letter rho, but the Latin letter D is also acceptable. Density is calculated mathematically by dividing mass by volume.
a. The formula: gives the surface area of a spherical.
A = 4 * pi * r²
where A is the surface area, pi is approximately 3.14, and r is the radius of the sphere.
Given the surface area A = 85 cm², we can write the equation for the radius as:
85 = 4 * pi * r²
Solving for r, we get:
r = sqrt(85 / (4 * pi)) = sqrt(85 / 12.56) = sqrt(6.77) = 2.6 cm (approx)
b. The density of an object is given by the formula:
density = mass / volume
The following formula determines a sphere's volume:
V = (4/3) * pi * r³
where V is the volume and r is the radius of the sphere.
Given the mass of the ball M = 160 g, we can calculate the density as:
density = mass / volume = 160 g / [(4/3) * pi * (2.6 cm)^3] = 160 g / (33.51 cm^3) = 4.76 g/cm³
c. To convert the density from g/cm³ to kg/m³, we need to divide the value by 10³.
density = 4.76 g/cm³ / (10³) = 0.00476 kg/m³
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The 2010 Nobel Prize in Physics was awarded for the discovery of graphene, a two-dimensional form of carbon in which the atoms form a two-dimensional crystal-lattice sheet only one atom thick.
A.) Predict the molar specific heat of graphene. Give your answer as a multiple of "R" (R=8.31 J/mol*K)
molar heat capacity=2R is the correct answer .
What is molar heat capacity ?
Molar heat capacity is expressed in units of J/K/mol or J/mol·K. where J is Joules, K is Kelvin, and m is moles. This value assumes no phase change occurs. We usually start with molar mass values in kg/mol. A less common unit of heat is the kilogram calorie (cal) or its cgs variant the gram calorie (cal). You can also express heat capacity in pound-mass at temperatures in Rankine or degrees Fahrenheit. Molar heat capacity reflects heat capacity per mole, while the related term specific heat capacity is heat capacity per unit mass. Specific heat capacity is also called simply specific heat. Engineering calculations sometimes use volumetric heat capacity rather than mass-based specific heat.
Since this is a 2-D lattice, an atom can only oscillate in 2 independent directions. So the degree of freedom=2. So system cn be considered as 2*N harmonic oscillators. Where N-number of Carbon atoms
Also, each harmonic oscillator has a energy of kBT; where kB-boltzmann constant and T-temperature
So, Total internal energy(E)= 2N*kBT
But, N*kB=n*R ; where n-moles
E=2nRT;
molar heat capacity(constant volume)= (dE/dT)/n ;
molar heat capacity=2R
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The following nuclei are observed to decay by emitting a β− particle: 3516S and 21282Pb.
A.)Write out the decay process for 35 16S.
B.)Write out the decay process for 212 82Pb.
Express your answer as a nuclear equation.
The nuclei are observed to decay by emitting a β− particle releases a positively charged beta particle called a positron, and a neutrino.
What forces cause a particle to decay into a radioactive state?The mechanism of contact between subatomic particles that causes the radioactive disintegration of atoms is known as the weak interaction, also known as the weak force or weak nuclear force, in nuclear physics and particle physics.
What three types of degradation are there?The three most frequent types of decay are beta decay, gamma decay, and alpha decay, all of which entail the emission of one or more particles. While the nuclear force and electromagnetism are in charge of the other two, the weak force is the process that causes beta decay.
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what condition is necessary for a sustained flow of electric charge through a conducting medium?
To maintain an electric potential difference and maintain a voltage, a sustained electric current needs a proper pumping mechanism.
There must be some form of pushing force in order to keep an even (or sustained) passage of electric charge across a conductor. The term "emf" for this is electromotive force. Voltage affects current, in other words. Current can be made to flow through a conductor by using a potential difference or voltage. In order for charge to go across a circuit, there needs to be a closed conducting loop and an energy source that can provide an electric potential difference. A supply of freely flowing electric charges (electrons), some sort of push to move the charges across the circuit, and a path to carry the charges are necessary for the production of an electric current.
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Point charges +4.3 µC and -2.2 µC are placed on the x-axis at (10 m, 0) and (-10 m, 0), respectively.
(a) Find the point to the left of the negative charge where the electric potential vanishes.
x = ___________ m
Point charges +4.3 µC and -2.2 µC are placed on the x-axis at (10 m, 0) and (-10 m, 0) . Point to the left of the negative charge where the electric potential vanishes is at x = 6.77 m
Charge [tex]Q_{1[/tex] (4.3μC) is places at x=10 m and charge [tex]Q_{2}[/tex] (-2.2μC) is placed at x=-10 m . Let at point A the electric potential vanishes and it is at a distance a to left from charge [tex]Q_{2}[/tex] Formula for potential due to point charge at a distance r from it is [tex]\frac{KQ}{r}[/tex].
As potential at point A is 0 . So net potential due to all the charges will be 0
Distance of point A from point B is 20+a
Potential at A is
[tex]-\frac{KQ_{2} }{a}[/tex] + [tex]\frac{KQ_{1} }{20+a}[/tex] =0
[tex]\frac{Q_{2}}{a}= \frac{Q_{1}}{20+a}[/tex]
[tex]20Q_{2}+aQ_{2}=aQ_{1} \\\\a(Q_{1}-Q_{2})=20Q_{2}\\\\a=\frac{20Q_{2}}{Q_{1}-Q_{2}}[/tex]
Putting values of [tex]Q_{1}[/tex] and [tex]Q_{2}[/tex] we get
[tex]\frac{20*(2.2)}{4.3+2.2}\\ \\=\frac{44}{6.5} \\\\= 6.77[/tex]m
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An LC circuit with C = 18 m F undergoes LC oscillations with period 2.4 s. Find the inductance.
Inductance is a measure of a component or circuit's ability to store electrical energy in the form of a magnetic field when an electric current is flowing through it.
What is Inductance?
Inductance is a property of a circuit or electronic component that opposes changes in current, producing a voltage in the circuit proportional to the rate at which the current is changing. This voltage is known as an inductive reactance, and is related to the frequency of the current. Inductance is a fundamental property of materials, and is the basis of many electrical components, including transformers, chokes, and inductors. Inductance is also responsible for the generation of electromagnetic fields, which are used in many applications, such as motors and generators.
The equation for the period of an LC oscillator is:
T = 2π √(L x C)
Thus,
2.4 = 2π √(L x 18 x 10^-3)
L = 6.8 x 10^-3 H = 6.8 mH
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Consider the circuit shown in (Figure 1). Assume I = 0.86 A. Part A What is the value of resistor R?
According to the question of circuit, the value of resistor R will be 10 Ω.
What is circuit?
Circuit is an electrical network consisting of connected components that allow electrical signals or power to pass through it. The components are usually connected by conductors such as wires, cables, or printed circuit boards. Circuits can be simple and consist of only a few components, or extremely complex containing thousands of components. Circuits can be used to control machines, computers, household appliances, and more. They are used in almost every area of electronics and electrical engineering, from the communication signals in a cellphone to the power distribution in a skyscraper.
R is calculated by Ohm's law, which states that the voltage (V) across a resistor is equal to the current (I) multiplied by the resistance (R). Therefore, R = V/I = 6V/0.86A = 10 Ω.
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A force of 65N is needed to start a 8kg box moving across a horizontal surface. calculate the coefficient of static friction
The coefficient of static friction on a horizontal surface is found to be 0.83.
How does friction coefficient work?The ratio between the perpendicular force pushing the objects together and the resistive frictional force is known as the coefficient of friction. The formula for the friction coefficient is = F N. Depending on the items creating friction, the coefficient of friction changes. The value might be larger than 1 but is often between 0 and 1.
Force (f)= 65N ; Mass (m) = 8Kg ; Acceleration due to gravity (g) = 9.8 m/s²
μ = Coefficient of static friction.
Static friction force, f = μmg
μ = f/mg ;
=> 65/(8 x 9.8) = 0.83
What factors affect the static friction coefficient?The nature and roughness of the surfaces in contact affect the coefficient of static frictional force. It does not depend on the size or surface area of the surfaces. The value might be larger than 1 but is often between 0 and 1.
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Saturn's core is pockmarked with impact craters and dotted with volcanoes erupting basaltic lava.
Why can't this discovery be reasonable?
Saturn's core is too deep for impactors to reach, even for dense gas and metallic hydrogen with volcanic lavas
At its center, Saturn has a dense core of metals such as iron and nickel, surrounded by rocks and other compounds that are solidified by intense pressure and heat. Similar to Jupiter's core, but surrounded by liquid metallic hydrogen with a much smaller layer of liquid hydrogen. Researchers have concluded that the planet's core is 55 times the mass of Earth, while rock and ice are 17 times the mass of Earth. Temperatures up to 21,000 F (11,700 C) can be reached inside. Because Saturn is an average of 886 million miles (1.4 billion kilometers) from the Sun, most of Saturn's heat comes from its core.
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Shopper leaves home and drives to a store located 7km away in direction 30° north of east.Leaving the store,the shopper drives 5km in a direction 50° west of north to a restaurant.Find the distance and direction from shopper's home to the restaurant?
As a result, from the homes of the shoppers to the restaurant, the distance is 12 km, and the direction is 80° north.
What is distance and direction?As the name implies, questions based on direction and/or distance are also known as Direction and Distance questions. Candidates must calculate the distance traveled between the starting location and the final / end point based on the provided starting point and direction. The position of one point and person with regard to another point and person and the distance among them must be determined for the Direction & Distance reasoning part.
How do you teach directions?Declare the terms "right" and "left." Ask the kids to tell you what these terms imply or mean when they are translated, then write their answers on the board with arrows pointing in the appropriate directions. Show the class how to pronounce the words once their meanings are obvious. Relative terminology, such as up, down, in, out, left, right, forward, backward, or sideways, can be used to define direction. You can also depict direction using the four cardinal directions: north, south, east, & west.
7km = 30 Degree of NE
5km = 50 degree of N
Therefore distance = 7km+5km
=12km
thus, direction = 50+30
=80° N
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Find the value of xx between 0 and 1.00 mm where the electric potential is zero.Express your answer to three significant figures and include appropriate units.
The electric potential is zero when there is no difference in electric potential energy between two points. Therefore, the value of xx between 0 and 1.00 mm where the electric potential is zero is 0.500 mm.
The electric potential at a given point is the amount of electric potential energy per unit charge at that point in space. This can be found by measuring the electric potential difference between two points, one of which is the point at which we are interested in finding the electric potential. In this case, the electric potential at any point between 0 and 1.00 mm is zero since there is no difference in electric potential energy between the two points. Therefore, the value of xx where the electric potential is zero is 0.500 mm.
The electric potential is zero when there is no difference in electric potential energy between two points. Therefore, the value of xx between 0 and 1.00 mm where the electric potential is zero is 0.500 mm.
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3. A 1.23 kg object slides down a 1.25 m incline of 35º. Use the data table to construct a graph for force due to gravity vs. distance. Trial 1 Trial 2 Trial 3 Averages Distance (m) 1.25 1.32 1.28
4. Based on the graph in #3, calculate the work done by gravity. Assume work is constant for this data.
5. Using the data from #3, construct a free body diagram and calculate work done by gravity. Explain how this value compare to the value determined graphically in #4.
Remember that this object is on an angle. You'll need to multiply the value for work by cos0
Keep in mind that you'll need to use the angle that forms between the force of gravity and distance.
Answer:
Explanation:
To construct a graph of force due to gravity vs. distance, we need to collect data for force due to gravity (Fg) and distance (d) and plot the data points on a graph. From the information given, we have the mass of the object (1.23 kg) and the angle of the incline (35º), but we do not have any data for force due to gravity or distance. Without this data, it is not possible to construct a graph for force due to gravity vs. distance.
Since we don't have the data for force due to gravity or distance, it's not possible to calculate the work done by gravity using the data table.
Without the data for force due to gravity, distance, or time it's not possible to construct a free-body diagram or calculate work done by gravity. Also, we don't have the angle of the incline, so we cannot calculate the work done by gravity by multiplying it by the cosine of the angle.
It's important to note that work done by gravity (W) = force due to gravity (Fg) x distance (d) x cos(theta), where theta is the angle between the force of gravity and the distance.
It's also important to remember that work is a scalar quantity and not a vector, and it's the angle between the force and the displacement that is important to calculate the work done by gravity, not the angle of the incline.
A toaster oven is rated at 1900 W for operation at 120 V , 60 Hz .
a)What is the resistance of the oven heater element?
b)What is the peak current through it?
c)What is the peak power dissipated by the oven?
7.58 ohms , 22.39 A and 3800 W are the correct answers .
What is resistance ?
Resistance is measured in ohms and represented by the Greek letter omega (Ω). Ohm is named after German physicist Georg Simon Ohm (1784-1854), who studied the relationship between voltage, current and resistance. He has been credited with formulating Ohm's law.
All substances resist the flow of electricity to some degree. They fall into one of two broad categories:
conductor: A material that offers very little resistance through which electrons can easily move. example:
silver, copper, gold, aluminium.
Insulator:
A substance that has a high resistance and restricts the flow of electrons. example:
Rubber, paper, glass, wood, plastic.
a) R= V^2/P = 120*120/1900 = 7.58 ohms
b) P= IV
I=1900/120 = 15.83A
I peak = sqrt2*15.83= 22.39 A
c) average power= 2*average power = 2*1900= 3800 W
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find the length of the arc of the curve from point p to point q. y = 1 2 x2, p −7, 49 2 , q 7, 49 2find the length of the arc of the curve from point p to point q. y = 1 2 x2, p −7, 49 2 , q 7, 49 2
The angle in degrees. It is the middle angle of the arc or the angle that separates the two arc radii. 180 r, where r is the radius and L is the length of an arc.
We may get the length of an arc using the following formula given an angle and a circle's diameter:
ArcLength = (angle / 360) * (2 * pi * radius)
where diameter equals 2 * radius, angle is in degrees, and
pi = 22/7.
The arc length formula for a circle is times the radius of a circle. When r is in radians, the formula for arc length can be written as arc
length = r.
Arc Length
= (/180) r,
where r is the radius and L is the length of an arc.
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HELP!!! an 8 kg mass is moving at 9.6 m/s east and it collides inelastically with a 6 kg mass moving 14.8 m/s west. After the collision, what is the velocity of the 8 kg mass? (east is positive and west is negative in terms of direction)
Answer:
After the inelastic collision, the velocity of the 8 kg mass would be the same as the center of mass velocity. Which is the velocity of the combined system of both masses. To find the velocity of the center of mass, we can use the following formula:
vcm = (m1v1 + m2v2) / (m1+m2)
where m1 = 8kg, v1 = 9.6 m/s east, m2 = 6kg, v2 = 14.8 m/s west
vcm = (89.6 + 6(-14.8)) / (8 + 6) = -0.8 m/s (west)
Therefore, after the inelastic collision, the velocity of the 8 kg mass would be -0.8 m/s (west)
Find the magnitude and direction of the resultant of the two concurrent vectors shown below
Given a position vector →v=⟨a,b⟩,the magnitude is found by |v|=√a2+b2.
How do you find the magnitude and direction of the resultant Vectors?The components of a vector, which is symbolized by an arrow, are a magnitude (the size of a measurement) and a direction (the direction the arrow is pointing), for example, 2 meters south. A solitary vector is a vector that exists by itself. A resultant vector is produced by adding two or more single vectors.
A combined force that is smaller than either individual force is created when two forces engage in opposition to one another. Subtract the magnitude of the smaller force from the magnitude of the bigger force to determine the resultant force. The smaller force and the resultant force both have the same direction.
If v=a,b is the position vector, then |v|=a2+b2 will give the magnitude. Depending on the application, the direction is equal to the angle made with the x-axis or the y-axis. The direction of a position vector is determined by the formula tan=(ba)=tan1(ba).What is the Magnitude of a Vector?|A| stands for the magnitude of a vector A, which represents its length. It is the sum of the squares of the vector's component parts' square roots.
A two-dimensional vector's magnitude can be calculated from its coordinates by:
How to Find Magnitude of a Vector?
Step 1 is to list each of its parts.Step 2: Calculate the total of each component's squares.Step 3: Calculate the square root of the resultant total.To know more about How to find the magnitude and direction of the resultant Vectors refer to:
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iron has a density of 7.86 g/cm3. the volume occupied by 55.85 g of iron is
According to the given statement So, the volume occupied by 55.85 g of iron is 7.12 cm³.
What is Density ?The quantity of matter per unit volume is referred to as dense (volumetric mass density or specific mass). Density is most frequently represented by the lowercase Greek letter rho, but the Latin letter D is also acceptable.
The density of matter varies with temperature and pressure. This variation is typically small for solids and liquids and much larger for gases. Increasing the pressure on an object decreases the volume of the object, thus increasing its density. Increasing the temperature of a substance.
The following formula determines an object's density:
density = mass / volume
Given that the density of iron is 7.86 g/cm³ and the mass of the iron is 55.85 g, we can calculate the volume occupied by the iron as:
volume = mass / density = 55.85 g / 7.86 g/cm³ = 7.12 cm³
So, the volume occupied by 55.85 g of iron is 7.12 cm³.
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what is the gravitational force exerted on uranus by neptune, at closest approach?
The gravitational force exerted on uranus by neptune can be deduced with newtons law of gravitation. The value is, 2.240×10^17 Newton.
According to newtons law of gravitation, "any particle of matter in the universe attracts any other with a force varying directly as the product of the masses and inversely as the square of the distance between them." Now we know that gravitational force F= G (m1m2 ÷ r²). Here m1 and m2 are the masses of uranus and neptune. r is the diostance between them. G is gravitational constant. So we know its value. it is 6.673 x 10^-11 N m²/kg². We also know the values of m1 and m2. Mass of neptune is 102.42×10^24 kg. And the mass of uranus is 86.81×10^24 kg. Now after knowing the distance between them, we get r= 1.627×10^12 meters. We have to put all the values in the formula. After doing thyat we get 2.240×10^17 N of force.
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Use unit vectors to express a displacement of 120 km at 29∘ counterclockwise from the x-axis.
The unit vector to express a displacement of 120 km at 29° counterclockwise from x- axis is 104.9544kmi + 58.17715kmjl
Evaluating the vector :
A = Aχ × i + Aу × j
= 120km × cos (29) × i + 120km × sin (29) × j
let i, j be the unit ve cot s along x and y axis
Vector A = 104.9544kmi + 58.17715kmjl
How do you find the displacement of a unit vector?
The displacement vector d from P1 to P2 can be written as d = (x2 - x1)i + (y2 - y1)j. The displacement d is (x2-x1) units in the x direction and (y2-y1) units in the y direction.
Why are unit vectors used?These unit vectors are commonly used to indicate direction, and scalar coefficients indicate magnitude. A vector decomposition can be written as a sum of unit vectors and scalar coefficients.
Why are they called unit vectors?A unit vector is a vector whose magnitude is exactly one unit. They are very useful for many reasons. In particular, the unit vectors [0,1] and [1,0] can be taken together to form other vectors.
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