If a distance d has units of meters, and a time T has units of seconds, does the quantity T + d make sense physically? What aboutthe quantity d>T? Explain in both cases.

Q: one meter is 100 cm. Does it therefore follow that one cubic meter is 100 cubic centimeters? explain…

A: As we know, 1 meter is equivalent to 100 cm, So one cubic meter is equivalent to, 1 m3=100 cm3=106…

Q: Explain. Why it is correct to write 1 min/60s=1, but it is not correct to write 1/60=1

A:

Q: Show that v² = v} +2ax is dimensionally consistent. Here v is velocity, x is distance and a is…

A: Considering the LHS of the equation, v2=LT-12=L2T-2

Q: How many significant figures are there in (a) 0.0000303 and(b) 6.201 * 105?

A:

Q: The position of a certain particle moving along the x axis is determined from the expression  x(t)…

A: Given expression ,                                  x(t) = btu + ctv  Where , x is in meters when t…

Q: Chapter 1- questn-9 If the dimensions of a physical quantity is ML what is it's SI units?

A: Given physical quantity is, ML/T2

Q: 2) Check the following equations for dimensional consistency where t is time (s), v is speed (m/s),…

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Q: In one of the labs, a student found the length and width of a rectangular wooden board. The recorded…

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Q: P (t) = PmaxCos (Bt) If t is measured in seconds, what value should the quantity B have? B = If t is…

A: The value of quantity B.given,P(t)=Pmaxcos(Bt)frequency(f)=349 Hz

Q: An unmanned reconnaissance drone is flying over enemy territory using a preprogrammed flight pattern…

A: Put the given height of radar detection in the equation for the drone’s height and obtain a…

Q: mapter T. UIS Degm Date: 1/25T2UZZ 2:01:00 AM -- Due Date: 1/Z9I20Z2 1.DY:00 AM LIU Date: S71472022…

A: According to question we need to solve--- Part (a) What is the simplest expression involving only a…

Q: In the equation below, which (if any) of the terms are not dimensionally consistent with the others?…

A: The dimension of mass m is [m]=M. The dimension of gravitational constant g is [g]=LT-2. The…

Q: How many times does a human heart beat during a person’s lifetime? How many gallons of blood does it…

A: Number of beats per minute, n = 84 blood pump in each beat = 50 cm3

Q: If a is acceleration, v is velocity, x is position, and t is time, then which equation is not…

A: Answer: a) v = a/t Calculations: a) v = a/t This equation is not dimensionally correct.

Q: 48. You are working with the formula V = ²h. You are given values of r= 1.00 ft and h = 2.00 ft.…

A: Detailed solution of given question is given in below steps.

Q: 1.11 The position coordinate x of a particle is determined by its velocity v and the elapsed time t…

A: Given (a) x=At2-Bvt (b)  x=Avte-Bt

Q: To calculate the in the derived SI units of multiply kilograms by meters and divide by seconds…

A: We need to fill in the blanks according to the definition provided.

Q: erive equation (6) with units by substituting in equations (4) and (5) into (3).

A: Given:- Find:- Derive equation (6) with units by substituting equations (4) and (5) into (3).

Q: With the ability to measure the motion of land masses, continental drift has become an established…

A: Introduction: Provided system is of continental drift. In this system, continents are going farther…

Q: Consider the physical quantities m, s, v, a, and t with dimensions [m] = M, [s] = L, [v] = LT–1, [a]…

A: Using dimension analysis,   Dimension of L.H.S = Dimension of R.H.S

Q: The left side of an equation has dimensions of length and theright side has dimensions of length…

A: For an equation to be valid, the dimensions of the physical quantities have to be same on both sides…

Q: 1/15 Determine the base units of the expression = ["₁ mgr dt in both SI and U.S. units. The variable…

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Q: Consider the physical quantities m and v with dimensions [m] = M and [v]= LT 1. %3D What is the…

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Q: Can you approximate the height of one of the buildings on your campus, or in your neighborhood? Let…

A: Height of a building

Q: Show that, when SI units for µ0 and ε0 are entered, the units given by the right-hand side of the…

A: SI unit of μ0 is Henry/meter which is equivalent to NewtonAmpere2 SI unit of ε0 is…

Q: the

A: (a) In the given equation, x = At3 + Bt, x has the dimension of L and thus the dimensions of A and B…

Q: The height h, in feet, of a golf ball t seconds after it has been hit is given by the equation  h =…

A: height h, in feet , h = −16t2 + 76t. How many seconds after the ball is hit will the height of the…

Q: Question 16 In one of the labs, a student found the length and width of a rectangular wooden board.…

A: Perimeter is defined as the outer lines of any given shape so for a rectangle the perimeter is given…

Q: In the equation y = y0 + vt + 1/2at^2 y and y0 are distances, v is a velocity, a is an acceleration,…

A: y = y0 + vt + 1/2at2

Q: The position of a moving particle in vortex is expressed as, x(t) = x0 sin(at3 + bt3/2) where x0is…

A: x(t)=x0Sin(at3+bt3/2)Sin is a transcendental function. Its argument has to be dimensionless.Since…

Q: following fundamental SI units are based on a physical artefact instead of a natural phenomenon?…

A: Option A The kilogram is the only one of the seven basic units of the international measurement…

Q: The distance, in meters, traveled by a moving particle in tt seconds is given by d(t)=9t(t+6)…

A: Given data, distance travelled, d(t)= 9t(t+6) = 9t2 +54t time, t = 2 seconds

Q: Kinetic energy K has dimensions kg · m²/s?. It can be written in terms of the momentum p and mass m…

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Q: Which of the following equations are dimensionally (units) consistent? 1. v = 1/2at2 2. t = v/a…

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Q: Must two physical quantities have the same dimensions if you are subtracting them? Select one O True…

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Q: The displacement of an object moving under uniform acceleration is some function of time and the…

A: The dimension of displacement is,

Q: The period of a simple pendulum, defined as the time necessary for one complete oscillation, is…

A: The expression for the time period is,

Q: In the equation, V = AB + Bt+- D+t C where V is the speed and t is the time, the, the dimensions of…

A: Option c

Q: When estimating the area covered by an object, what type of error might you make and what sources…

A: Given:  Scenario where we are measuring area covered by the object.

Q: Which of the following equations are dimensionally consistent? (a) v = at, (b) v = 12at2, (c) t =…

A: a V=at     For dimensional stability , both side should have same dimensions .   LT-1=LT-2T…

Q: Consider the following physics formula     a = 5 v2n tm  where a is an acceleration, v is a speed, t…

A: Given formula of acceleration     a = 5 v2n tm  We have to find out values of factor n and m.

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

A: Rewrite the provided expression of the position of the particle. Further, on substituting the known…

Q: 1.4 Units in equations Given that the following equation calculates position in meters (x) as a…

A:

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

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.