Given parameters:
Mass given = 1kg
Unknown:
Weight of the body at pole and equator = ?
Solution:
Both locations are on the surface of the earth. Generally, we take 9.8m/s² as the acceleration due to gravity on the earth.
Weight = mass x acceleration due to gravity
But little disparity occurs in the value of acceleration due to gravity from the pole to equator. This is due to equatorial bulge.
At the equator , 9.780 m/s²
pole 9.832 m/s²
Weight at equator = 1 x 9.780 = 9.78N
Weight at the pole = 1 x 9.832 = 9.832N
A gymnast of mass 52.0 kg is jumping on a trampoline. She jumps so that her feet reach a maximum height of 2.98 m above the trampoline and, when she lands, her feet stretch the trampoline 70.0 cm down. How far does the trampoline stretch when she stands on it at rest? Assume that the trampoline is described by Hooke’s law when it is stretched.
When the gymnast is at 2.98 meters above the trampoline, she has potential gravitational energy in relation to the trampoline:
\(\begin{gathered} PE_g=m\cdot g\cdot h \\ PE_g=52\cdot9.81\cdot2.98 \\ PE_g=1520.16\text{ J} \end{gathered}\)When she lands on the trampoline, all this energy will be converted into potential elastic energy:
\(\begin{gathered} PE_e=\frac{kx^2}{2} \\ 1520.16=\frac{k\cdot0.7^2}{2} \\ 0.49k=3040.32 \\ k=6204.73\text{ N/m} \end{gathered}\)Now, to find the stretch in the trampoline when the gymnast is at rest, let's use the gymnast weight force in the formula for the force in a string:
\(\begin{gathered} F=k\cdot x \\ m\cdot g=k\cdot x \\ 52\cdot9.81=6204.73\cdot x \\ 510.12=6204.73 \\ x=\frac{510.12}{6204.73} \\ x=0.0822\text{ m} \end{gathered}\)Therefore the trampoline stretches 8.22 cm.
Hello please I need help for this exercise
Calculate the electrical power dissipated by Joule effect in a 23 (Ohms) rheostat carrying a current of 5A.
Find the amount of heat, in Joules and Kwh, released in half an hour of operation.
The electrical power dissipated by the circuit is 575 W.
The amount of heat energy released in half hour is 0.2875 kWh.
What is the electrical power?
The electrical power dissipated by the circuit is calculated as follows;
P = IV
where;
I is the current in the circuitV is the voltageP = I²R
where;
R is the resistanceP = 5² x 23
P = 575 W
The amount of heat energy released in half hour is calculated as follows;
E = Pt
where;
P is the power dissipatedt is timeE = 575 W x 0.5 hr
E = 287.5 kW
E = 0.2875 kWh
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label the sun. which layer of the sun is 1#?
Answer:
It is the core.
slug
Something established by authority as a rule for measurement is called a
standard
unit
The statement "Something established by authority as a rule for measurement is called a standard unit" is True.
Something established by authority as a rule for measurement is called a standard unit. Standard units provide a consistent and universally accepted basis for measuring quantities in various fields such as science, engineering, and commerce.
Standard units are essential because they ensure consistency and accuracy in measurements across different contexts and locations. They serve as a reference point for comparing and quantifying physical quantities. By establishing standardized units, authorities promote uniformity and facilitate effective communication and collaboration in scientific research, technological advancements, and global trade.
In the International System of Units (SI), which is the most widely used system of measurement, there are seven base units: meter (length), kilogram (mass), second (time), ampere (electric current), kelvin (temperature), mole (amount of substance), and candela (luminous intensity). These base units are defined based on fundamental physical constants or natural phenomena, providing a reliable and reproducible foundation for measurement.
Standard units are typically defined and maintained by internationally recognized organizations like the International Bureau of Weights and Measures (BIPM) to ensure global consistency. These organizations establish precise definitions, measurement protocols, and calibration procedures for standard units, often using advanced scientific techniques and technologies.
The use of standard units simplifies scientific research, enables accurate engineering designs, ensures fair trade practices, and facilitates international cooperation. It allows for the seamless exchange of information and data, promotes quality assurance, and supports the development of common standards and regulations in various industries.
In summary, a standard unit is a measurement rule established by authority to provide a consistent and universally accepted reference for quantifying physical quantities. It is a fundamental aspect of scientific progress, technological advancements, and global collaboration.
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can some one help me :< its music
An elephant produces a 10Hz sound wave. Assuming the speed of sound in air is 344/s, determine the wavelength of this infrasonic sound wave.
Answer:
34.5 m
Explanation:
Given data : An elephant produces 10 Hz sound wave. Assuming the speed of sound in air is 345 m/s. To find : What is the wavelength of sound ? Answer : The wavelength of the sound is 34.5 m.
In a baseball game, Joseph hits a ball to the outfield. When does the ball have the most potential energy?
A. when the ball is caught
B. when the bat hits the ball
C. when the ball reaches its greatest velocity
D. when the ball reaches its highest point
It has the greatest Potential energy when the ball reaches its highest point.The correct option is D
What is potential energy?Potential energy is the energy that an object possesses due to its position or state, which can be converted into work or kinetic energy when acted upon by a force.
There are three types of Potential Energy such as :
Elastic Potential Energy: Anything that can act like a spring or a rubber band can have elastic potential energyGravitational Potential Energy: There is a constant attractive force between the Earth and everything surrounding it, due to gravityChemical Potential Energy.Learn more about Potential Energy here: brainly.com/question/1242059
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Answer:
1) PE=mgh
2)when the ball reaches its highest point
3)21,599,200 J
4) The object’s mass, gravity, and height determine its potential energy.
5)Members of a team work together to create a plan, and then members choose different tasks to carry out the plan.
What is a sample that is treated exactly like the other experimental groups except that the independent variable is not applied to it is called ?
Answer:
control
Explanation:
you always need a control in experiment
A basketball player is getting ready to jump, pushing off the ground and accelerating upward.
A) Draw a force identification diagram.
B) Draw a free body diagram.
Answer:
B
Explanation:
B
Why must humans limit their exposure to X-rays and gamma rays?
A. The rays can change molecules and atoms in the body into ions.
B. Exposure can cause the human body to give off heat.
O C. Even a small amount of radiation can burn the skin.
D. These rays act similarly to microwaves on the human body.
Answer:
A. The rays can change molecules and atoms in the body into ions.
what are the two main elements of the atmosphere?
Answer:
Nitrogen and oxygen
Explanation:
Nitrogen and oxygen account for 99 percent of the gases in dry air, with argon, carbon dioxide, helium, neon, and other gases making up minute portions.
is thermoproteota a unicellular organism
Answer:
Yeah
Explanation:
Thermoproteota is a prokaryote.
Prokaryotes are unicellular
For the following circuit, find the total resistance and current, then find the currentand voltage across each resistor.
Given:
the voltage of the battery is
\(V=9\text{ V}\)six resistance are connected in the circuit.
Explanation:
resistor a and b are in series connection. so they can be added in the following way
\(\begin{gathered} R=R_6+R_2 \\ R=6+2 \\ R_{ab}=8\text{ }\Omega \end{gathered}\)now resistor Rab ohm and Re ohms are in parallel combination.
they can be added in the following way
\(\begin{gathered} R=\frac{R_8\times R_4}{R_8+R_4} \\ R=\frac{8\times4}{12} \\ R_{abe}=2.66\text{ }\Omega \end{gathered}\)now all the resistor are in series combination. they can be added as
\(\begin{gathered} R_{equi}=6+2.66+1+3 \\ R_{equi}=12.66\text{ }\Omega \end{gathered}\)above is the equivalent resistance of the circuit.
now calculate the current in the circuit.
apply ohm's law
\(V=IR_{equi}\)Plugging all the values in the above relation, we get
\(\begin{gathered} I=\frac{9\text{ V}}{12.66\text{ }\Omega} \\ I=0.71\text{ A} \end{gathered}\)above is the total current flowing in the circuit.
now calculate the voltage and current across each resistor.
voltage across the resistor d is
\(\begin{gathered} V=IR_d \\ V=0.71\text{ A}\times3\text{ }\Omega \\ V=2.13\text{ V} \end{gathered}\)now voltage across resistor f is
\(\begin{gathered} V=IR_f \\ V=0.71\times6 \\ V=4.26\text{ V} \end{gathered}\)this amount of voltage will be same across the resistor ab and resistor e.
voltage across the resistor e is
\(V=4.26\text{ V}\)voltage across the resistor c is
\(\begin{gathered} V=0.71\times1 \\ V=0.71\text{ V} \end{gathered}\)now calculate the current across Rab and Re.
the current in across Rab is
\(\begin{gathered} V=I_{ab}\times R_{ab} \\ I_{ab}=\frac{1.88}{8} \\ I_{ab}=0.24\text{ A} \end{gathered}\)now the current across Re is
\(\begin{gathered} V=I_e\times R_e \\ I_e=\frac{V}{R_e} \\ I_e=\frac{1.88}{4} \\ I_e=0.47\text{ A} \end{gathered}\)A rectangle measuring 30.0 cm by 40.0 cm is located inside a region of a spatially uniform magnetic field of 1.25 T , with the field perpendicular to the plane of the coil (the figure (Figure 1) ). The coil is pulled out at a steady rate of 2.00 cm/s traveling perpendicular to the field lines. The region of the field ends abruptly as shown.
A rectangle measuring 30.0 cm by 40.0 cm is locate
A) Find the emf induced in this coil when it is all inside the field.
B) Find the emf induced in this coil when it is partly inside the field.
C) Find the emf induced in this coil when it is all outside the field.
The induced emf of the coil is 0, 0.0132V, 0, respectively.
(A) Generally, the equation for the flux is mathematically given as
ε = BA = B(30×40×1/10⁴)
So, the magnetic flux through the coil is constant.
From Faraday's law, ε = - d/dt B ---(1) for the induced emf.
Since magnetic flux is constant, LHS. of (1) =0
Induced emf=0
(B) Let x be the length of the coil's magnetic field area.
induced emf=B(40×x×1/10⁴)
=0.0132V
(C) In conclusion, Therefore, there is no variation in the magnetic flux across the coil when magnetic flux=0.
induced emf=0
What is magnetic flux?
Magnetic flux through a surface—when the magnetic field is variable—relies on dividing the surface into small surface elements over which the magnetic field can be considered locally constant. The total flow is then the formal sum of these surface elements.To know more about magnetic flux, click the link given below:
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A cylindrical water tank has a height of 20cm and a radius of 14cm. If it is filled to 2/5 of its capacity, calculate.
I. Quantity of water in the tank
II. Quantity of water left to fill the tank to its capacity.
Answer:
4.926 L Y 7.389 L
Explanation:
first you calculate the tank volume
V = π\((14 cm)^{2}\)(10 cm = \(12315 cm^{3}\)
then you convert to liters
\(12315 cm^{3}\) = 12.315 l
then you calculate the liters of water
2/5(12.35 l) = 4.926 l
finally we calculate the amount without water
12.315 l - 4.926 l = 7.389 l
HERE IS MORE INFORMATION ON THE SUBJECT. THEY REMOVED THE
ENGLISH SITE BUT YOU CAN USE TRANSLATOR
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Does scarcity effect everyone?
Answer: Scarcity affects society in every way. First and foremost, scarcity affects the way that individuals make choices. Time and money are two examples of scarce resources that we make choices with every day.
A container with volume 1.83 L is initially evacuated. Then it is filled with 0.246 g of N2. Assume that the pressure of the gas is low enough for the gas to obey the ideal-gas law to a high degree of accuracy. If the root-mean-square speed of the gas molecules is 192 m/s, what is the pressure of the gas?
Answer:
The pressure is \(P = 1652 \ Pa\)
Explanation:
From the question we are told that
The volume of the container is \(V = 1.83 \ L = 1.83 *10^{-3 } \ m^3\)
The mass of \(N_2\) is \(m_n = 0.246 \ g = 0.246 *10^{-3} \ kg\)
The root-mean-square velocity is \(v = 192 \ m/s\)
The root -mean square velocity is mathematically represented as
\(v = \sqrt{ \frac{3 RT}{M_n } }\)
Now the ideal gas law is mathematically represented as
\(PV = nRT\)
=> \(RT = \frac{PV}{n }\)
Where n is the number of moles which is mathematically represented as
\(n = \frac{ m_n }{M }\)
Where M is the molar mass of \(N_2\)
So
\(RT = \frac{PVM_n }{m _n }\)
=> \(v = \sqrt{ \frac{3 \frac{P* V * M_n }{m_n } }{M_n } }\)
=> \(v = \sqrt{ \frac{ 3 * P* V }{m_n } } }\)
=> \(P = \frac{v^2 * m_n}{3 * V }\)
substituting values
=> \(P = \frac{( 192)^2 * 0.246 *10^{-3}}{3 * 1.83 *10^{-3} }\)
=> \(P = 1652 \ Pa\)
What is an example of energy transformation of chemical to thermal to light to sound?
Crackling fireplace
Baking cookies
Flashlight
An example of energy transformation of chemical to thermal to light to sound is Crackling fireplace.
What is energy transformation?
Energy transformation, which we also know as energy conversion, is described as the process of changing energy from one form to another. Energy is a quantity that provides the capacity to perform work or moving, or provides heat.
A Crackling fireplace starts the process of energy transformation from being a chemical to thermal \via heat and then makes a sound.
When an explosive goes off, chemical energy that was stored in it is changed and transferred into sound energy, kinetic energy, and thermal energy.
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Example of energy transformation of chemical to thermal to light to sound is a Crackling fireplace.
What is Energy Transformation?Energy transformation which is also know as energy conversion is described as the changing of energy from one form to another. Energy is a quantity that provides the capacity to perform work or moving, or provides heat.
A Crackling fireplace starts the process of energy transformation from being a chemical to thermal through heat and then makes the crackling sound.
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Can anyone explain how to solve these problems?
The refrigerator's coefficient of performance is 3.81.
The refrigerator's power input is 504 W.
Refrigerators coefficient of performanceThe refrigerators coefficient of performance is calculated as follows;
\(COP = \frac{T_{cold}}{T_{hot} - T_{cold}}\)
The cold temperature = -71⁰C = 202 KThe hot temperature = -18⁰C = 255 K\(COP = \frac{202}{255 - 202} \\\\COP = 3.81\)
Work done in the refrigerator\(W = P \Delta V = P (V_2 - V_1)\\\\W = 150 \times 10^3 (100 \times 10^{-6} \ - \ 40 \times 10^{-6})\\\\W = 9 \ J\)
Refrigerators power input\(P = \frac{E}{t} \\\\P = 9 \ J \ \ \times \ \ 56 \ \frac{cycle}{s} \\\\P = 504 \ J/s \ = \ 504 \ W\)
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A wire loop having area 0.606 m2 is placed in a uniform magnetic field with the normal vector of the loop at a 75.1 degree angle to the field. The field has an initial magnitude of 2.91 Tesla and then is increased at a constant rate to 7.97 Tesla in 0.856 seconds. If a current of 0.0980 Amps is measured to flow through the wire during this time, what must the resistance of the wire be in Ohms
The resistance of the wire is is 36.55 ohms.
Induced emf of the coilThe induced emf in the loop is calculated by Faraday's law as follows;
emf = A(B₂- B₁)/t
emf = 0.606 (7.97 - 2.91)/0.856
emf = 3.58 V
Resistance of the wireThe resistance of the wire is calculated by using Ohms law as follows;
emf = IR
R = emf/I
R = 3.58/0.098
R = 36.55 ohms
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Vin Diesel jumps out of a plane. Gravity pulls on him with 184N of force and his parachute pushes him up with 82 N of force.
Net Force = (your answer)
Body Diagram or Explanation = (your answer)
Answer:
Fr = 102[N]
Explanation:
We must perform a free body diagram to understand the forces acting on Vin Diesel. In the attached image we see the forces related to his weight and the air resistance force.
We must analyze the forces in the Y axis, we see that we have the force of the air opposing the fall of Vin Diesel, in this way this force is negative since it opposes the movement, the fall.
∑Fy = 0
\(F_{weight}-F_{air}=F_{r}\\F_{r}= 184-82\\F_{r}=102[N]\)
9kg-ball is moving at 12m/s. What is the kinetic energy from this motion?
Answer:
ke=648J
Explanation:
ke=1/2mv²
m=9kg
v=12m/s
1/2(9)(12)²
=648J
name one instrument use to determine the atmospheric pressure
Answer:
Explanation:
A barometer is a scientific instrument used to measure atmospheric pressure, also called barometric pressure.
Answer:
Barometer
Explanation:
Its units are atmospheres (atm) or bars.
What sort of wave is light?
A:longitudinal
B:electromagnetic
C:sound
D:radio
Is the longshore current traveling to the right or to the left in the image below? Think about where deposition and erosion are occurring.
Based on the image provided and the location of deposition and erosion, it seems that the longshore current is moving towards the right.
Based on the image provided, it appears that the longshore current is traveling towards the right. This can be determined by looking at where deposition and erosion are occurring. Deposition is happening on the right side of the image, where sand is building up and forming a beach. Erosion, on the other hand, is happening on the left side of the image, where the waves are breaking against the cliff face and wearing it away. Longshore currents are generated by waves hitting the shore at an angle, causing the water to move parallel to the shore. In this case, the waves are coming in from the top left of the image and hitting the shore at an angle, which creates a longshore current that moves towards the right. As the water moves along the shore, it picks up sand and sediment and carries it with it. This sand is then deposited on the right side of the image, where the water slows down and loses energy. It's important to note that longshore currents can change direction depending on the direction of the incoming waves and the shape of the shoreline. But based on the image provided and the location of deposition and erosion, it seems that the longshore current is moving towards the right.
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Please don't round any possible answers
Note the rate at which oil is flowing is: 7.19 m³/s . See the computation below.
What is the rationale for the above response?We can use the principle of continuity of flow to solve this problem. According to this principle, the mass flow rate of the oil is:
m_dot = rho * A * v: where:
rho is the density of the oil,
A is the cross-sectional area of the pipe, and
v is the velocity of the oil.
The cross-sectional area of the pipe before the constriction is:
A1 = (pi/4) * d1² = (pi/4) * (0.978 m)² = 0.7526 m²
The cross-sectional area of the pipe after the constriction is:
A2 = (pi/4) * d2² = (pi/4) * (0.5868 m)² = 0.2701 m²
The velocity of the oil can be calculated using the principle of continuity of flow:
A1 * v1 = A2 * v2
where v1 is the velocity before the constriction and v2 is the velocity after the constriction.
Solving for v1, we get:
v1 = (A2/A1) * v2 = (0.2701 m^2 / 0.7526 m^2) * v2 = 0.3590 * v2
The pressure difference across the constriction is:
deltaP = P1 - P2 = 7600 N/m² - 5700 N/m² = 1900 N/m²
Using Bernoulli's equation, we can relate the pressure difference to the velocity difference:
deltaP = (1/2) * rho * (v2² - v1²)
Substituting the expression for v1, we get:
deltaP = (1/2) * rho * (v2² - 0.1290 * v2²)
Solving for v2, we get:
v2 = sqrt(2 * deltaP / rho * (1 - 0.1290)) = 20.16 m/s
Finally, the mass flow rate of the oil is:
m_dot = rho * A1 * v1 = 821 kg/m³ * 0.7526 m² * 0.3590 * 20.16 m/s
= 5904.4 kg/s
Converting to cubic meters per second, we get:
Q = m_dot / rho = 5904.4 kg/s / 821 kg/m³ = 7.19 m³/s
Therefore, the rate at which oil is flowing is 7.19 m³/s
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27. The electric field around a positive charge is shown in the diagram. Describe the nature of these lines. Please use 2 content related sentences
Answer:
Once we place a positive test at a point close to the sphere, we find that an electrostatic force is applied to the outside of the sphere. Therefore, at any point around the sphere, the electric field vector is radially outward.
What state of matter is jelly?
Answer:
Hey mate.....
Explanation:
This is ur answer.....
SolidsJelly is a colloid where colloidal particles are solids which are dispersed in the liquid. Jelly is a fluid which can not be considered as a particular one kind of state. It is in the category of 'gel' which is a colloidal form.
Hope it helps!
Brainliest pls!
Follow me! ;)
A. Organized process to test a hypothesis
B. An educated guess about the solution to a problem
C. Observations & measurements recorded
D. A summary based on the results of an experiment
E. The response that is measured in an experiment
F. The factor that is manipulated during an experiment
The scientific method include Observations >> Data; Factor manipulated >> Independent Variable, process to test >> experiment, guess >> hypothesis, results >> Conclusion and response >> dependent variable.
What is an observation in science?Observation is the first step of the scientific method, which then requires to raise a question that will be answered by a testable hypothesis.
The scientific method is a series of well-established steps used to collect scientific empirical data/evidence, which allow to test a given hypothesis.
In conclusion, the scientific method include Observations >> Data; Factor manipulated >> Independent Variable, process to test >> experiment, guess >> hypothesis, results >> Conclusion and response >> dependent variable..
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A locust jumps at an angle of 55.0° and lands 0.750 m from where it jumped.
Aproximately 1.09 m/s was the locust's first speed.
What role do vectors have in mechanics?In engineering mechanics, vectors are used to express values with both a magnitude and a direction. For analysis, vector representations of a variety of engineering quantities—including forces, displacements, velocities, and accelerations—are required.
Δy = vsin(θ)t - 0.5gt²
0 = v*sin(55°)t - 0.5(-9.81 m/s²)*t²
t = 2vsin(55°)/g
Now, we can use the horizontal motion of the locust to find the initial velocity v. The horizontal distance traveled by the locust is given by:
Δx = v*cos(55°)*t
Substituting the expression for t that we just found:
0.750 m = vcos(55°)2vsin(55°)/g
Solving for v:
v = √(0.750 mg/(2sin(55°)*cos(55°)))
v ≈ 1.09 m/s
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