Each of the following equations was given by a studentduring an examination: (a) 1/2 mv2= 1/2 mvo2 + √mgh (b) v= v0 +at2 (c) ma =v2 Do a dimensional analysis of each equationand explain why the equation can’t be correct.

Q: Check which equations are dimensionally correct or incorrect: v is velocity, m is mass, g is…

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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: A cylinder of mass (m) and a diameter of (2a) with height (10 cm), The height for other cylinder…

A: Since the cylinders are made of the same material, the density of the material must be constant. The…

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: 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: How many significant figures does  1.362+25.2 have ? (a) 2.             (b) 3.              (c) 4.…

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

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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 From first option the dimension of time is given by t = T From second option a = v2/x  The…

Q: Compute the following numbers to three significant figures.a. 33.3 x 25.4                 b. 33.3 -…

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Q: QUESTION 7 *,=x,+v+ 2 x,= 66.6 m "f V= 5.09 m/s t= 9.02 s a = 1.13 m/s2 x,= ? in m Input answer…

A: Part (7): Given: The final position of the object is xf = 66.6 m. The initial velocity is vix = 5.09…

Q: 11. A traditional unit of length in Japan is the ken, where 1 ken =1.97 m. What are the ratios of:…

A: Given :    1 ken = 1.97 m    Height, h = 5.50 kens = 10.835 m    Radius, r = 3 kens = 5.91 m…

Q: Which one of the following recorded measures is correct for ruler with 2 mm division ? 236 cm t 0.5…

A: When ruler of 2mm division is used for measurement , recorded readings are multiple of 2 or even…

Q: One student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm + 0.1 cm.…

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

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Q: Calculate the probable error in the volume of the container, in m3

A: Volume of rectangular prism = L W H

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: Use the data collected to find an equation for the path of the ball. Remember, use t for the input…

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Q: QUESTION 2 Match units with physical quantities. m = meter kg = kilo gram s= second Mass (M) v…

A: We know, S.I. unit of mass (M) is kilogram (kg) S.I. unit of length (or distance, L) is meter (m)…

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: Each of the following equations was given by a student during an examination 1/2 mv^2=1/2…

A: 1) The equation is given as, Here, v0 and v denotes the initial and the final velocity, g denotes…

Q: Calculate to the correct number of significant figures: 2.346 + 24.128 = 38.4 x 128.45 = Verify if…

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

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Q: Carry out the following arithmetic operations. (Give your answers to the correct number of…

A: Sum of 756,37.2,0.83 and 2  In case of addition, the significant figures after the decimal point…

Q: Q1) A) Find the answers to the following problems using the rule of Significant Figures a) (10.4168)…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: In the equation F= xt' +yt?. F = Force and t = time. The dimensions of x and y respectively are Oa…

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Q: A student wanted to find the value of factor A experimentally in the equation F=5.3AV². If the…

A: Given : An equation : F = 5.3Av2 F is plotted in the y axis and v2 in the x axis.  The aim is to…

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

A: Given Information:

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: The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360…

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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: Evaluate cach of the following to three significant figures and express cach answer in SI units…

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Q: Problem 16. Consider the physical quantities m, s, v, a, and t with dimensions [m] = M, [s] = L, [v]…

A: Given data:  The dimensions of m, s, v, a and [m] = M, [s] = L,  [v] = LT-1, [a] = LT-2 and [t]  = T…

Q: Perform the following unit conversions: a) 65 miles per hour to meters per second (hint: 1 mile =…

A: From unit conversion, the required values are: a)

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

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Q: A student solving for the acceleration of an object has applied appropriate physics principles and…

A: Given a1 = 3.00 m/s2 F = 12.0 N m = 7.00 kg

Q: If you tried to smuggle gold bricks by filling your backpack, whose dimensions are 63 cm x 25 cm x…

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Q: A student measures the thickness of a textbook with a meter stick and obtains a value of 3.8 cm ±0.1…

A: Option (b) agree with the value of the first student. i e  3.81 cm ±0.01 cm

Q: Is the dimensional consistency of the units in the expression v = 2ar? Choose the most appropriate…

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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: The volume of the rectangular block in the figure is calculated from the following measurements of…

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Q: Which one of the choices below represents the preferred practice regarding significant figures when…

A: Given multiplication:  15.0×5.6×2.33

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

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Q: In SI units, speeds are measured in meters per second (m/s). But, depending on where you live,…

A: The kilometer, hour, and a mile is 1 km=1000 m1 h = 3600 s1 mi = 1609.34 m

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.