The velocity of a particle is given by v=At+Br 17 - where x is in meters and t is in seconds, and A and B are constants. What is the ratio of the dimensions of A to the dimensions of B?

Q: The following conversion equivalents are given: 1m = 100 cm 1 in = 2.54 cm 1 ft = 12 in A bin has a…

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Q: A sphere of radius r has surface area A = 4πr2 and volumeV = (4/3)πr3. If the radius of sphere 2 is…

A: a)The ratio of the areas, A2/A1

Q: Consider the physical quantities s, t, u, v and w. We would like to work with these quantities using…

A: Here we have to make a formulation of the given quantities in the mathematical model. So, we…

Q: Newton’s second law states that the acceleration of an object is proportional to the force F acting…

A: The dimensions of force can be derived from Newton's second law. The equation is, a = F/m, where a…

Q: the A partly-full paint can has 0.493 U.S. gallons of paint left in it. (a) What is the volume of…

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Q: A builder wants to install wall-to-wall carpeting in a living room of length 8.84 m and width 6.2 m.…

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Q: what is the dimension of A in terms of [L], [M], and [T]?

A: Given data: The acceleration is: a The length is: L meter The mass is: M kg The time is: T sec The…

Q: (a) What is the area and uncertainty in area of one side of a rectangular wooden board that has a…

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Q: Estimate the number of breaths taken by a human being during an average lifetime. (Hint: Show…

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Q: Problem 2: A rectangular box is h= 14 inches in height, w = 26.5 cm wide, and L = 1.9 yards long.…

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Q: A partly-full paint can has 0.711 U.S. gallons of paint left in it. (a) What is the volume of the…

A: Volume of paint = 0.711 US gallons

Q: Kinetic energy KE (Chapter 5) has dimensions kg · m2/s2 . It can be written in terms of the momentum…

A: a. write the equation for kinetic energy and solve for momentum.

Q: An expression for buoyant force is FB = ρgV, where FB has dimensions [MLT−2], ρ (density) has…

A: Buoyant Force is given by FB = ρgV FB is Buoyant Force which has dimensions [MLT−2] where ρ is…

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: ds and a = dt dv Suppose quantity s is a length and quantity t is a time. Suppose the quantities v…

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Q: Given the following equation, verify if it is dimensionally correct: D = g.A Variable SI unit D…

A: Given, S.I unit of physical quantities are, Physical Quantity S.I. Unit Drag force (D)…

Q: A model for the surface area of some solid object is given by S = 0.141w0.797 0.466, where w is the…

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Q: The period of oscillation of a simple pendulum is given by the equation T = k(L/ g)^1/2 where T is…

A: T=kLgT2=k2Lg

Q: В Consider the following equation: x= At² + (v+a) time and v is the speed. Find the dimensions of B:…

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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: builder wants to install wall-to-wall carpeting in a living room of length 8.81 m and width 6.3 m.…

A: Given: Length of the room,  L=8.81 m Breadth of the room, b=6.3 m

Q: The number of significant figures of the number 6.92 E-3 mm, is: A)2 B)4 C)1 D)3

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Q: Consider the equation s = s0 + v0 t + a0 t2 /2 + j0 t3 /6 + S0 t4 /24 + ct5 /120, where s is a…

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Q: Problem 12: In this problem, the symbols M, L, and T represent the dimensions mass, length, and…

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Q: Assume: r, x, x0 have units of m. v, vO have units of m/s. a has units of m/s/s. m, m1, m2 have…

A: Dimensions are defined as the minimum number of coordinates required to specify the magnitude of any…

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: Volume = area × thickness. Find the volume V as a function of thickness T if the area is 7.0 cm².

A: Given that; Volume= area×thickness Area=7.0 cm2 = 7×10-4m2 We have to find volume V as a function…

Q: The length and width of a rectangular room are measured to be 3.885 ± 0.0065 m and 3.2 ± 0.0045 m.…

A: Given The length of a rectangular room = l = 3.885 ± 0.0065 m The width a rectangular room = b = 3.2…

Q: where: m = mass, l = length, z = distance, t = time, v = speed = x/t, a = acceleration = v/t. (a)…

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Q: he speed v of an object is given by the equation v = A * t ^ 3 - Bt where I refers to time. (a) What…

A: Given: The velocity of the object is. v=At3-Bt…

Q: Q7: The JCR of a student hostel is 50.0 ft long and 26 ft wide and has 8.0-ft high ceilings. What is…

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Q: In the calculation of the perimeter of a square measuring: 5.0 cm ± .05 cm by 5.0 cm ± .05 cm, What…

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Q: (4) side length and A is the base area of the cylinder. L=(23.60 ± 0.05) mm A=(12.6± 0.1) mm2 The…

A: Given value--- L = (23.6 plus/minus 0.05) mm A = (12.6 plus/minus 0.1) mm2 We have to find--- The…

Q: B) The force acting on an object is a function of time: F(t)= a t²+b/t, where tis time measured in…

A: Solution:   As per the given data,