If the following equation is dimensionally homogeneous, find the dimensions of thephysical quantity K indicated in the system of fundamental physical quantities:Length, Mass and Time.Ep -GMmKwhere Ep is the gravitational potential energy (same units as the kinetic energyE mv²/2), M and m are the mass of the earth and the mass of the body, respectively,and G is the universal gravitation constantG~ 6,67 x 10-11N m²kg²

If the following equation is dimensionally hom physical quantity K indicated in the system of Length, Mass and Time. Ep=-G where Ep is the gravitational potential my2²/2) M and m are the mass of the earth

If the following equation is dimensionally hom physical quantity K indicated in the system of Length, Mass and Time. Ep=-G where Ep is the gravitational potential my2²/2) M and m are the mass of the earth

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E= 200…

Q: Problem (4) ?~!- Astean pipe has an inside diameter of 2.0 in, and consists of 0.22 in of Copper…

A: Given that:inside diameter of the steam pipe is 2.0 in.It is covered by three layers of material.…

Q: If the frictional moment at the pivot O is 3 N-m in the counter-clockwise direction, determine the…

A: Consider the drum rotates in clockwise direction about point O.Draw free body diagrams of the masses…

Q: The data listed below is from a passenger hot air balloon. The balloon is designed to lift 10-people…

A: 10 people with 80kg per person = 800kgTotal mass without people = Balloon + Basket + Burner +…

Q: Q2. A particle of mass 2.0kg moves under the influence of the force F(x) = N. If its speed at x=2.0m…

Q: A steel beam, of lengths a = 5 m and b = 2 m and a hollow box cross section, is supported by a hinge…

A: The free body diagram is-The moment equilibrium condition at point B is-

Q: or the truss in figure below, the cross-sectional area of the truss members is A = 500 mm² and…

Q: Consider the beam shown below. The stiffness of the material is 29 x 106 psi. The 2nd moment of…

A: Here the step-by-step procedure is given to solve this kind of problem(a) Label the nodes and…

Q: 5.70 A steel flywheel 25 mm thick with an outer diameter of 1 m and an inner di- ameter of 200 mm is…

A: Given:-Outer diameter = 1ma= outer radius = 1/2 = 0.5 minner diameter = 200mm = 0.2 mb = inner…

Q: The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E = 200…

Q: dia Y lo psi Q=10,000 gpm flow oil (sy=086b) I 14"' dia Determine the horizontal force on the…

Q: 22. Find the force in members AB and BC. 3.5 m -400 N 45% 3.5 m

Q: Calculate the force in cable AB and the angle θ for the support system shown. Show all written work…

Q: A power plant turbine releases its discharge into a condenser operating at 20C at 100% saturated…

A: It is given that:condenser temperature is 20°C. Steam enters condenser as 100% saturated vapor.Mass…

Q: That's a lot of earrings we would have to make this year! So we know that we have to make over 1,622…

A: Once the production costs are calculated for making the earrings (in this case, $12/unit), the next…

Q: Determine the discharge in gallons per minute of a new 16-in cast-iron pipe if the friction losa is…

Q: A of the conveyor belt is rotating about the z axis with a -6 rad/s, while at the same instant the…

A: conveyor belt velocity angular velocity is angular velocity is the distance of the package from the…

Q: 15- For a pipe carrying chilled water at 10°C through a room at 21°C. What is the maximum relative…

A: Here we will refer to steam table for pressure at both these tempratures and use th to get relative…

Q: 5 kN 5 kN 5 kN D G b 2m 2m 3m K 3m b 3m

A: Given:- Determine:-The force in members DG and FI of the truss shown.

Q: What is the stagnation pressure in this region? Express your answer to three significant figures and…

A: Given data,the absolute air pressure Find Outa) What is the stagnation pressure in this region?b)…

Q: Please use property tables. Thank you Steam enters the high-pressure turbine of an ideal reheat…

A: There are multiple sub parts in this question. According to our guidelines, we are supposed to…

Q: 2"1 The tabletop experiment shown below has been designed to demonstrate the reaction of a free…

A: For the solution refer below images.

Q: (a) Find the centroid (x, y) of the composite area shown below. (b) Determine the area moment of…

A: Find:a) Centroid of the composite area.b) The area moment of inertia (lx, and ly) of the composite…

Q: Given: (JLD SP2022 Ex03P5a) The pendulum shown is made of two slender bars of mass my 10 kg (long…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Derive a model for the mechanical system represented below. The input being the force F and the…

Q: (2) Sketch the microstructure of Pb-Sn alloy at (A) and (B). (s Composition (at% Sn)

A: Microstructure in metallic materials consists of the distribution and topological arrangement of…

Q: For the solid of revolution shown, determine the mass moment of inertia about the xaxis. The…

A: Let the radius of the spherical portion be r and the thickness is dx,now mass moment of inertia can…

Q: The system shown is composed of pin-connected rod AB, rod BC and disk C. At the instant shown, the…

A: For the solution refer below images.

Q: ) For the composite section show below, 1) Determine the centroid xc and yc with respect to the…

A: We divide the composite into 4 subparts as shown in figure

Q: I left a half full 500 ml water bottle in my car after going to the gym one morning. When I returned…

Q: A refrigerator uses refrigerant-134a as its working fluid and operates on the ideal…

Q: For the truss in figure below, the cross-sectional area of the truss members is A = 500 mm² and…

A: For the truss in figure below, the cross-sectional area of the truss members isA = 500 mm²…

Q: The gage pressure of the air in the tank shown in the figure below is measured to be 44 kPa.…

A: Given data:- The gage pressure of the air in the tank (P) = 44 kPa = The…

Q: The model of a river is constructed to a scale of 1/60. If the water in the river flows at 38 ft/s,…

A: The model of a river is constructed to a scale of 1/60.If the water in the river flows at 38…

Q: An automobile driver took a curve too fast. The car spun out of control about its center of gravity…

A: Cars deceleration,

Q: 15-3. The brick wall exerts a uniform distributed load of 20 kN/m on the beam. If the allowable…

A: draw FBD

Q: The jet plane is flying upward such that its wings make an angle of attack of 15⁰ with the…

Q: (a) Calculate the wt% of Ni and Cu. (b) Based on the figure below, what is the tensile strength of…

A: Given data:NiCu barThe bar has a 0.01 m x 0.01m cross-section and is 1m longThe alloy is 60% (wt%)…

Q: A man pulls with a force of 300N on a rope attached to a building as shown, what are the horizontal…

A: Draw FBD

Q: N-n a) 6,7 kg lb nN-m² mg b) 18,5 a.

Q: 1- Calculate the value of the force acting on a car with a mass of 1800 kg and an acceleration of 8…

A: Mass of the car, m = 1800 kgacceleration, a = 8 m/s²

Q: For the single pump-pipe system below, what will be the changes for the operating point if we…

A: Here we will see the effect of pump speed on operating point.

Q: Az A F 406 L₁ L2 B X The rectangular door is hinged along the y-axis. Find the magnitude of the…

A: The value are

Q: A saturated liquid-vapor mixture of water, called wet steam, in a steam line at 1500 kPa is…

A: Given Pressure, P1 = 1500 kPa P2 = 50 kPa Temperature, T2 = 100oCFind…

Q: G -4 ft- AF FE Вс Gx AB Ax F #5 BF FC AF B Select the freebody diagram that would allow you to solve…

Q: 5. A plate is subjected to two couples as shown. Determine the magnitude of force P if the resultant…

Q: Explain more please

A: The mass balance equations are based on the principle of conservation of mass. For each tank, the…

Q: An engineer is testing a new electric vehicle and needs to determine the displacement of the vehicle…

A: Given data:Time Interval: 0 to 60 seconds.Time Increments: 0.1 seconds.Velocity Function: v(t) =…

Q: Label the nodes and the elements in the figure with appropriate node and element numbers. Compute…

A: Here the step-by-step procedure is given to solve this kind of problem(a) Label the nodes and…

Q: as it flows subsonically through a 5 cm × 10 cm duct. The properties of air at the inlet are…

Question

If the following equation is dimensionally homogeneous, find the dimensions of the
physical quantity K indicated in the system of fundamental physical quantities:
Length, Mass and Time.
Ep -G
Mm
K
where Ep is the gravitational potential energy (same units as the kinetic energy
E mv²/2), M and m are the mass of the earth and the mass of the body, respectively,
and G is the universal gravitation constant
G~ 6,67 x 10-11
N m²
kg²

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Write the dimension of each terms-

VIEW

Step 2: Write the expression for required term-

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Pide Use Buckingham's PI Theorem to determine non-dimensional parameters in the phenomenon shown on the right (surface tension of a soap bubble). The variables involved are: R AP - pressure difference between the inside and outside R- radius of the bubble Pide Soap film surface tension (Gravity is not relevant since the soap bubble is neutrally buoyant in air)
Thermal conductivity k is a measure of the ability of a material to conduct heat. For conduction heat transfer in the x-direction through a surface normal to the x-direction, Fourier’s law of heat conduction is expressed as: Q=-kA.dT/dx where ?̇ is the rate of heat transfer and A is the area normal to the direction of heat transfer. Determine the primary dimensions of thermal conductivity (k). Look up a value of k and verify that its SI units are consistent with your result. Write a set of primary SI units for k.
1- The thrust (P l ) of a propeller depends upon diameter (D); speed (u) through a fluid density (p); revolution per minute (N); and dynamic viscosity (u) Show that: P = (p D² u²) f P Du [; where fis any function.
When a liquid in a beaker is stired, whirlpool will form and there will be an elevation difference h, between the center of the liquid surface and the rim of the liquid surface. Apply the method of repeating variables to generate a dimensional relationship for elevation difference (h), angular velocity (@) of the whirlpool, fluid density (p). gravitational acceleration (2), and radius (R) of the container. Take o. pand R as the repeating variables.
Units and dimensions are important in any engineering analysis. This problem is about that. In an old heat transfer textbook, you found the following equation for some specific heat transfer problem. Ə²T Q + əx² λ ƏT Ət You know that T is temperature (K) and x is the x-coordinate, which is measured in meters. You also know that t is time (s) and the book uses as the symbol for thermal conductivity, whose unit is W/m.K. What must be the units of Q and B?
What is dimensional homogeneity?
What do you mean by dimensional homogeneity?
b) When a liquid in a beaker is stirred, whirlpool will form and there will be an elevation difference h, between the center of the liquid surface and the rim of the liquid surface. Apply the method of repeating variables to generate a dimensional relationship for elevation difference (h), angular velocity (o) of the whirlpool, fluid density (p), gravitational acceleration (g), and radius (R) of the container. Take o, p and R as the repeating variables.
m, zm 2. Two particles of equal masses move on a frictionless harizontal surface. Their center of kr? mass is fixed and their potential energies are krž and Also, they interact with each other with potential 2 akr2 Ris the distance between the masses, and k and a are positive constants. a. Find the Lagrangian in terms of the center of mass position CM, R and the relative position r. b. Solve the Lagrange equations for the relative coordinates X,Y and x,y. c. Explain the physical outcome of the results obtained in b.
Here are these questions if I could get help with themIf a spherical storage tank holds 40,000 gallons (120,000 liters) of water,what diameter must it have?If a cylindrical storage tank has a 40-foot (12 m) diameter circular 05::=how high must it be to hold 1 million gallons (3 million liters)?If water is moving at a rate of 3.2 ft3/sec (90,000 cc/sec), how manygallons (liters) per minute is this?If the specific gravity of gold is 19.0. what is the weight of a cubic inch(cubic centimeter) of gold? A cubic foot (cubic meter)?
HW-1-.docx -> Q1/ complete the dimensional formula and SI units for table. US Physical Quantity SI. No Dimensional Formula S.I Unit customary unit Area (A) work (w) 3 Density (d) 4 Speed (s) stress (6) Acceleration (a) Q2/ Suppose we are told that the acceleration a of a particle moving with uniform speed v in a circle of radius r is proportional to some power of r, say r", and some power of v, say vm , also some power of mass, say m". Determine the values of n and m and o Q3/ Show that the expression (x, = x +v, t+ % a t) is dimensionally correct, where X, and x, are the position and a is the acceleration, and t is the time, v is the velocity.
2- The resistance (R) experienced by a partially submerged body depends upon the velocity (u), length of the body (L), dynamic viscosity (u) and density (p) of the fluid, and gravitational acceleration (g). Obtain a dimensionless expression for (R). Ans. R=(u²L p) f Lg