Use the dimensional analysis to show if the following equations below are dimensionally consistent: a. v = at 2 ( where v is the velocity, a the acceleration and t the time) b. v = PE/d ( where v is the velocity, PE is the potential energy and d is the distance )

Q: A fathom is a unit of length, usually reserved for measuring the depth of water. A fathom is…

A: The unit conversion of fathom into ft is given as, 1 fathom=6 ft1 ft=16 fathom

Q: Contrast the differences between defining a physical quantity by its units and by its dimensions.…

A: Unit- It is the quantity of standard magnitude & helps to mesaure the magnitude of other…

Q: H.W Q1. Check the correctness of the following relation by using method of dimensions .where v and u…

A:

Q: Vector A, vector B, and vector C are drawn to scale in the figure below. The vector A is 5.3 meters…

A: Given: Magnitude of vector A = 5.3 m. Magnitude of vector B = 4.0 m. Magnitude of vector C = 2.8 m.…

Q: subtract

A: Given: There are two quantities with different dimensions lets say, Q and Q'

Q: (Dimensional Analysis) To test the performance of a car, a driver wishes to find the speed v of the…

A: (a)   Write the given expression according to the dimensional analysis, and solve it as follows.…

Q: Simplify the following expression in terms of the dimensions mass, length, and time given by [M],…

A: We can simplify dimensional equations with normal algebraic rules

Q: If you were to plot E vs v on a log-log graph what would you expect the slope to be? The expected…

A: Given             E=mv2/2

Q: Acceleration is related to velocity and time by the followingexpression: a = vptq. Find the powers p…

A: Acceleration of a particle is related to velocity and time as- We have to determine the values of p…

Q: Question 3 ( quantity is measured by two different methods and the values and standard deviations…

A: The value is the average of two values.

Q: In some problem, you are asked to calculate the mass of an object, and you get the following result:…

A:

Q: The position of a particle moving along the x axis may be determined from the expression x(t) = btu…

A: Given expression: xt=btu+ctv

Q: The SI unit of force is the newton, derived from the base units by using the definition of force, F…

A: Given data The CGS unit of force is dyne. 1 dyne = 10-5 N   The expression for the force is written…

Q: Show that the expression (v = at), where v represents speed, a acceleration, and t an .instant of…

A:

Q: In physics labs, explain why we insist on getting our final results from the slope of a graph,…

A: If there are two variable and relation between them is like, y = mx + c then if we plot the graph…

Q: A lecture period (50.0 min) is close to 1.00 microcentury. (a) How long is a microcentury? (b) Usin…

A: (a)we know that,minutes in 1 century=52.6×106 minutesminutes in 1 micro century= 52.6 minutes

Q: Using dimensional analysis determine which of the following equations are dimensionally…

A:

Q: Read the following instruments with proper significant digits and units and indicate the c number of…

A: Here given scale is cm scale. (2) 7.7 cm (2 significant figures)

Q: A company produces custom greeting cards. The cost C (in dollars) of producing n greeting cards per…

A:

Q: what is the speed of airplane hat normally flies 600 km/h in metric units (m/s) calculate the answer…

A:

Q: A fundamental law of motion states that the acceleration of an object is directly proportional to…

A:

Q: Question 5 Acceleration is related to distance and time by the following expression, a = 2xt. Find…

A: Given: acceleration, a=2xtp To find the value of p that makes above equation dimensionally…

Q: s is a distance with unit [L], t is a time with unit [T] and θ is an angle in radians. a. Find…

A: Units of S (distance) = [L] Units of t (time) = [T] Units of angle = radians

Q: The description for a certain brand of house paint claims a coverage of 460 ft2/gal. (a) Express…

A: Given,

Q: (b) v = vo + at² Vo t

A:

Q: The position of a particle moving along the x axis may be determined from the expression x(t) = btu…

A:

Q: If you get 8 hours of sleep at night, how many seconds is that? Solve this using dimensional…

A:

Q: a) Acceleration is described as space divided by time squared. Determine the dimensions of…

A:

Q: U.S. football field is 120 yards long (including the end zones). How long is the field in the…

A:

Q: Explain how Physics-related problems are translated from one-dimensional to three-dimensional.

A: Given : How physics related problems are translated form 1D to 3D ?

Q: Question: Bohol Waters uses cubic meter (m3) as the unit of a volume of water used in each…

A: Since you have asked more than one question, we will solve first question for you. For solutions of…

Q: Question 7 Given a set of length measurements: 60.58 cm, 60.07 cm, 60.12 cm, 60.99 cm, 60.00 cm,…

A:

Q: Dimensional Analysis Suppose y = mx + b, where the dimension of y is length ([y] = L) and the…

A:

Q: Luke purchased tiles for his patio that are 8” by 4”. He measured her patio in meters and wants to…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: To find the distance RS across a lake, a surveyor lays off a length RT = 50.0 m So that the angle…

A: this question is about to know the exact distance of lake across . with help of angle we can find…

Q: Solve three of the following problems using dimensional analysis. a. Using the following rough…

A:

Q: Estimate how long it would take one person to mow a football field using an ordinary home lawn…

A: Given Distance is d=0.6 m ==0.6×10-3 km Velocity is v=2 km/h

Q: 100 m3 to cu. ft.

A: Given: Volume = 100 m3 We have to convert this to cubic feet

Q: Question 4 What is this rate in units of inches/second?

A:

Q: Write an expression for a with a dimensionless constant of proportionality k. (Use the following as…

A:

Q: What are dimensions of physical quantity?

A: The dimension of a physical quantity is defined as the power to which the fundamental quantities are…

Q: Each of the following equations was given by a student during an examination. Do a dimensional…

A:

Q: dimensional analysis. Convert the quantity from 14 m/s cm to miles per hour (mi/hr).

A:

Q: Estimate the speed at which your hair grows. Give your answerin meters per second.

A: The speed of hair grow is 0.5 mm/day.  1 day = 24 x 3600 second 1 m = 1000 mm