1. Given the equation: p + pgy + 12 pv 2 = Q where p is a density, g is the acceleration due to gravity and v is the velocity. Determine the dimensions for y and p
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
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Q: undergo many adventures as they travel the Earth's oceans. (a) If 1.00 league equals 3.500 km, find…
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Q: O The speed in km/min equal to 78.0 mi/h O The area in ft? of a rectangle with sides 18.6 m and 3.82…
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Q: A U.S. gallon is a volume of 3.78 liters, where 1000 liters = 1000 L = 1 m3 .How many gallons would…
A: Given data: Height of the cylinder (H) = 2.00 m Radius (R) = 0.500 m 1 gallon = 3.78 L 1 m3 = 1000…
Q: Express each of the following approximations of ππ to six significant figures.
A: Given data : 22/7 and 355/113 Required: Answer in six significant figures
Q: The circumference of a sphere was measured to be 72 cm with a possible error of 0.5 cm. Use linear…
A: Given Circumference of a sphere= 72 cm Maximum error = 0.5 cm
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A: Given - volume of the container length of one side , Length of other side Required - length of third…
Q: b) The period of a pendulum is the time t it takes the pendulum to swing back and forth once. If the…
A: The equation of motion for a simple pendulum is:θ¨=glθ Therefore, the angular frequency is:ω=glAnd…
Q: 4. Determine if the following equations are dimensionally correct. (a) (P)²= pgh, where P is…
A: Two expressions are given as(a) ; here represents pressure, represents density, represents…
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: Quantity Al Pb Length (m) 0.088 + 0.001 0.037 + 0.001 Diameter (m) 0.0268 + 0.0001 0.0246 + 0.0001…
A: For Aluminium: The volume of the water displaced by the aluminium is denoted here by V. The buoyant…
Q: Do the following calculations to the correct number of significant figures: a.) 5.01 x 103/7.8 x…
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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: 7) A) Using only the picture shown below, estimate the height (in meters) of the tower by first…
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Q: The value of f(x− y )dx + xdy, where C' is x² + y² = 2 (A) T (B) 2π (C) 3л (D) 4π
A: The given integral, where C is, the radius of the circle,
Q: What is the area of a circle which has a diameter equal to 3.138 cm? Hint The area is cm².
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Q: Soccer fields vary in size. A large soccer field is 144 meters long and 84.4 meters wide. Hint a.…
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Q: A rectangular block of wood is measured to have the dimensions 11.2 cm, 3.4 cm and 4.10 cm. Compute…
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Q: How many significant figures are there in (a) 0.0210, (b) 5.060, (c) 7.10 * 10-4,(d) 1.0 * 105?
A: significant figures
Q: a) Acceleration is described as space divided by time squared. Determine the dimensions of…
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- (a) Suppose that the displacement of an object is related to time according to the expression x = Bt2. What are the dimensions of B? O L²/L T OLX T² O T²/L OL/T O L/T² (b) A displacement is related to time as x = A sin(2πft), where A and fare constants. Find the dimensions of A. (Hint: A trigonometric function appearing in an equation must be dimensionless.) OL/T OLX T O T/L OL T(a) What Is the area and uncertainty in area of one side of a rectangular plastic brick that has a length of (21.4 + 0.4) cm and a width of (9.8 0.1) cm? (Give your answers in cm².) 209.72 X 6.06 x) cm² (b) What If? If the thickness of the brick is (1.2 ± 0.1) cm, what is the volume of the brick and the uncertainty in this volume? (Give your answers in cm³.) 1.73 X 0.432 x) cm³How many significant figures are in the following numbers? (a) 100.0 ± 0.4(b) 4.000 ✕ 106(c) 4.20 ✕ 10-11(d) 0.0060
- 1.4 Units in equations Given that the following equation calculates position in meters (x) as a function of time in seconds (t): use dimensional analysis to determine the units of the coefficient "u". Xp = Xi + v¡t +,a,t? + 1 2.3/it3+ 2t4/3 2-3 4 2 3.4.54it + 3.7321 · w t3/2 Units of "u" are2If an equation is not dimensionally correct, does that mean that the equation cannot be true? a. yes b. no
- Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 15.0 x 5.6 x 2.33? Select one: а. 200 b. 196 O c. 195.720 O d. 195.72 e. 195.7A hopskip is a (fictional) unit of length equal to 1.5 meters (1 hs = 1.5 m). The volume of the Earth’s oceans is estimated to be ~ 1.3X 10^24cm . Use dimensional analysis to express the volume of the Earth’s oceans in hs^3.