verify the dimensional correctness of the formula t = 2p√(m/k) for the period of oscillation of a mass m suspended by a spring of stiffness k.

Q: Consider the physical quantities s, v, a, and t with dimensions [s] = L, [v] = LT−1, [a] = LT−2, and…

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Q: The maximum running speed (S) in km/hr and the corresponding body mass (m) in kg were determined for…

A: Unit of speed is km/hr Unit of mass is kg The relation between speed and mass is  S=5.7m2Unit of…

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

A: Equation for time period of simple pendulum is,

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: n the equation, C1 = ρgy+0.5ρC22), if y is distance, g is gravitational acceleration, ρ is density…

A: given equation: C1=ρgy+0.5ρC22 since the terms are in addition their units must be same, hence…

Q: An architect is redesigning a rectangular room on the blueprints of the house. He decides to double…

A: Given data:  New width (b1) = 2b New length (l1) = 1.89 l New height (h1) = 1.20 h Required: Factor…

Q: Which of the following is/are NOT acceptable if a and b are two quantities with distinct dimensions?…

A: Given :- a and b are two quantities having different dimensions .

Q: Kinetic energy K has dimensions kg.m 2 /s 2 . It can be written in terms of the momentum p and mass…

A: Dimensional analysis is the analysis of the relationships between different physical quantities by…

Q: The volume of liquid flowing per second is called the volume flow rate Q and has the dimensions of…

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Q: We would like to find a relationship between the physical quantities s, t, u and v using theorem.…

A: Given Data: The given equation is  satbucvd i.e.  MLT2aT/LbM2T2cL2d   and  2a+?b+2c = 0

Q: You can use known quantities to determine an approximate measurement of unknown quantities. If your…

A: 1 hand = 10 cm

Q: The relationship between three quantities x, y, and z is given by x = y² /z. If the dimension of y…

A: Given: The relationsp between quanittity is. x=y2z The dimension of the y is LT. The dimension of…

Q: If equation F = m.g + A.m is assumed to be dimensionally correct, then dimension of quantity A will…

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

A: Given:The period of a simple pendulum.we have check this equation as dimentionally correct. So,For…

Q: Match the following 1. Precision a. the rightmost digit in a recorded data 2. Significant figure b.…

A: Precision :       Degree to which exactness is applied i e. If we take measurements number of times…

Q: Suppose that the displacement of an object is related to time according to the expression x = Bt2.…

A: The given expression is,

Q: In A= B" C" expression, A has a dimension of [LT], and B has a dimension of [L²T']. If C has a…

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Q: The period T of a simple pendulum is the amount of timerequired for it to undergo one complete…

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Q: Assume that you measure the dimensions of a hollow cube with a vernier caliper many time and obtain…

A: For solving this you have to know cuboid's volume formula.. Volume of cuboid=length x width x height…

Q: Give an example of (a) a physical quantity which has a unit but no dimensions. (b) a physical…

A: Dimension analysis

Q: The primary dimensions of the constants (a, b) given in the equation F(y) = V (by – ab) are equal…

A: The unit of a quantity in terms of dimension is defined as MxLyTz Here x,y and z depend on the unit…

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

A: Given  Dimensions of physical quantities   [m] = M  [s] =L  [v]= LT-1  [a] = LT-2  [ t] = T  Also…

Q: hen an object falls through air, there is a drag force that depends on the product of the surface…

A: The equation force is  F=CAv2 ............................ (1)  where F is the force, C is the…

Q: Problem 1-17 Using the base units of the SI system, show that F = G(m,m¿)/r² is a dimensionally…

A: The equation of F can be given as, Here, m1 denotes the mass of the first object (in kg), m2…

Q: * The volume of liquid flowing per second is called the volume flow rate Q and has the dimensions of…

A: The length of needle is L and its dimension is [L]. The radius of the needle is R its dimension is…

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: Consider the equation v= The dimensions of the variables v, x, and t are [L]/[T], [L], and [T],…

A: GivenV=13Zxt2Dimension of V=LTx=Lt=T3 is dimensionless

Q: Problem 1.28 A uniform flagpole of mass 10 kg and length 2.5 m is attached to a wall by brackets and…

A: Given data: Mass of flagpole is M=10 kg. Length of flagpole is L=2.5 m. Mass of flag is m=5 kg.…

Q: Assume the following six statements are correct: Q = 4.19 m²/s R = 7.24 x 10-4 kg S = 1.23 kg m / s²…

A: Q = 4.19 m2sR = 7.24×10-4 kg S = 1.23 kg.ms2T = 2.88×10-3 kgmU = 12.3 kg2m2s3V = 1.01×10-6 sIt is…

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: You measure the dimensions of a rectangular block of aluminum to determine its volume. It has the…

A: Given:  l = 10.52 cm; w = 4.12 cm; h = 1.13 cm error = 0.01 cm

Q: Harvard Bridge, which connects MIT with its fraternities across the Charles River, has a length of…

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Q: Harvard Bridge, which connects MIT with its fraternities across the Charles River, has a length of…

A: From the figure, it can be seen that 212 S is equivalent to 258 W and 212-32 = 180 S is equivalent…

Q: Consider the physical quantities f, g, h, i and j with dimensions: [S] = M² [g] = [h] = MLT-2 [i] =…

A: Given: f=M2g=ML-3h=MLT-2i=L-3j=L2T2 Now, to find a dimensionless quantity, we need to find:…

Q: Use dimensional analysis to determine which of the following equation is certainly wrong: mv v=…

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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: A particle of mass m has a time-dependent position vector r(t) = (Rcos(ωt),Rsin(ωt),αt) in Cartesian…

A: A particle of mass m has a time-dependent position vector r(t) = (Rcos(ωt),Rsin(ωt),αt) in Cartesian…

Q: Estimating Errors for Multiple MeaSurements of a Physical Quantity Using variance Distance (M)…

A: Actual value of a physical quantity x = x1 + x2 + •••••+xn /n

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: In the expression T= 2x. m has dimensions of mass and k has dimensions of mass divided by time…

A: Here, we calculate the given as follow;

Q: In the equation, C, = pgy+0.5pC,), if y is distance, g is gravitational acceleration, p density and…

A: For the equation C1=ρgy+0.5ρC22 to be dimensionally correct, each term in the equation must have the…

Q: Consider the physical quantities s, a, and t with dimensions [s] = L, [v] = LT-!, [a] = LT -2, v,…

A: Dear student According to dimensional analysis, only the quantities which have same dimensions can…

Q: Consider the equation y = mt +b, where the dimension of y is length and the dimension of t is time,…

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