Thanks! 9. Use dimensional analysis to determine which of the following equations is certainly wrong (show proof)<m2 = vtF =F =h =2g(2gh)2aWhere i and h are lengths and F is force with dimension of [mass Length Time?]. The other symbols have their usualmeaning. eExample answer: for 2 = v t, its dimensional analysis is Length = (length/time)*(time) → so this is correct.10. A body with initial velocity 8.0 m/s moves along a straight line with constant acceleration and travels 640. meters in40.0 seconds. For this 40.0 second interval, find e(a) the average velocity in m/s(b) the final velocity (m/s)(c) the acceleration with correct unite

We'll represent the dimensions of basic quantities like mass, length and time by M, L, T…

9. Use dimensional analysis to determine which of the following equations is certainly wrong (show proof)< m 2 = vt F = F = h = 2g (2gh)'2 U = a Where A and h are lengths and F is force with dimension of [mass Length Time?]. The other symbols have their usual meaning.

9. Use dimensional analysis to determine which of the following equations is certainly wrong (show proof)< m 2 = vt F = F = h = 2g (2gh)'2 U = a Where A and h are lengths and F is force with dimension of [mass Length Time?]. The other symbols have their usual meaning.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 12CQ: Solving Problems in Physics What information do you need to choose which equation or equations to...

See similar textbooks

Related questions

Q: 2. Use the grid method to show that specific gravity is dimensionless. (All dimensions cancel out)

Q: at6 kt10 Consider the equation s = 2 6v where S is a length, vis a velocity and tis time. a) If the…

A: Dimensional analysis method is used to determine the dimensions of the unknown physical quantity in…

Q: How many correct experiments do we need to disprove a theory? How many do we need to prove a theory?…

A: One case where the "theory" fails to hold is enough to prove the theory is not true.E.g. I say "All…

Q: How many times longer than the mean life of an extremely unstable atomic nucleus is the lifetime of…

A: Given that, the life time of unstable atomic nucleus is in the order of 10 s. (In actual case, it is…

Q: The EKstreme Tower at Enchanted Kingdom amusement park is 175-feet tall. How long does it take for…

A: Let's convert the height into the base SI unit ∆y=175 ft1 m3.28 ft∆y=53.35 m

Q: The frequency of a pendulum is the number of oscillations it makesper second. Is frequency a scalar…

A: Frequency is the number of oscillations per second. Frequency is also given as inverse of time…

Q: Quèstion 14 The dimension of the speed is [LT] True False

Q: 11- Chapter 1- questn-19 Suppose A BC, where A has the dimension L/M and Chas the dimension L/T.…

A: Given A=BCDimension of A=LMDimension of C=LT

Q: I have a question for the square root of units. So I have the formula 2pi√m/k And m=50g and…

A: The formula that you are using is the formula of time. T = 2pi√m/k Here, T is time period in second.…

Q: When order calculation is seen from a time perspective, the calculations are usually separated by…

A: Following statement is mentioned for which we have to choose an alternative (True or False). "When…

Q: A typical person has an average heart rate of 69.0 beats/min. Calculate the given questions. How…

A: Average heart rate =69 beats/min Number of min. in a day =60 X 24 Therefore number of beats each…

Q: 28. How many curtains 2.5 m long can you cut from a piece of curtain material that is 1 500 cm long?

A: Given data The length of the curtain is given as l = 2.5 m. The length of the total curtain…

Q: Time (hr) Distance (km) 105 1.4 2.3 175 250 3.3 4.2 4.8 6.6 315 350 495

A: Let us plot time (hr) on x axis and distance (Km) on y axis. We get the following graph.

Q: 1. A person on a diet might lose 2.3 kg per week. Express the mass loss rate in milligrams per…

Q: Kinetic energy K has dimensions kg ·m2/s2. It can be written in terms of the momentum p and mass m…

A: Given : (a) Kinetic energy K has dimensions kg ·m2/s2. K = p2/2m To determine: the proper units for…

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

A: Given: 39 story building

Q: 6. Consider the equation v = }zxt². The dimensions of the variables v, x, and t are [L]/[T], [L],…

A: The relation can be only correct if and only if the dimensions on both sides are equal.

Q: A shape that covers an area A and has a uniform heighth has a volume V = Ah. (a) Show that V = Ah is…

A: Let A be the area, V be the volume and h be the height of the shape.Write the units of all the three…

Q: E 34 X G com/document/d/1036mlGRQiq5R-ZFfHWYRTZDPKwUj908DM2CuJ0aFTBc/edit AClasses My 10 Year…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: At the beginning she is moving toward the left at 5.2 m/s, and at the end she is moving toward the…

Q: The system of equations is now: (2*) -m1g cos 0+T=m1a2 (4°) Зт1д — Т — Зтјаз = 9.80 meter/second?, 0…

Q: 1. Cloth tape measures are used commercially to make coarse measurements of length. Why are such…

Q: Is it possible for two quantities to (a) have the same units but different dimensions or (b) have…

A: Part (a): No, it is not possible for two physical quantities to have the same units but in different…

Q: the following equations was given by (a) = 1/2mv² = 1/2mv0² + √mgh

Q: 3. A car accelerates uniformly from rest and travels a distance of (100 ± 1) if the acceleration of…

Q: A cheetah was observed traveling a distance (d) of 100.0 + 0.2 m in a time period (At) of 2.98 0.01…

Q: If a · b = 9 and a= 3, what is | b equal to? А. 9 В. 81 С. 3 D. More information is required

Q: 2. What is the difference between a Technical Contradiction and Physical Contradiction?

A: Given Data : Technical contradiction Physical contradiction

Q: 4. Check dimensions of the formula and verify that the formula is dimensionaly correct : V=gh +e v -…

A: Dimensions of L.H.S v=[M0L1T-1]

Q: There are 2.54 cm per inch. 3.1 cm is the same distance as

A: Given, 2.54cm = 1 inch 1cm =1/2.54inch = 0.393inch

Q: 3. Two friends were traveling from Mumbai to Pune and have decided to count the vehicles on a short…

A: Traffic density is the number of vehicles per unit road. Flow on that stretch is defined as number…

Q: Explain how Physics-related problems are translated from one-dimensional to three-dimensional.

A: Given : How physics related problems are translated form 1D to 3D ?

Q: Hold a pencil in front of your eye at a position where its blunt end just blocks out the Moon (Fig.…

A: The distance between Earth and Moon, Consider that the diameter of the pencil, The distance…

Q: [4] The period T of simple pendulum is measured in time units and given by where / is the length of…

Q: Started at the same time from a very flat surface and 8 mm apart, two snails are vertically climbing…

A: initial distance between two snails = 8 mm velocity of first snail = 2 mm/s velocity of second snail…

Q: 4. The smallest unit on a ruler is 1mm. Two students measured the width of a wooden block and…

A: In this, there are more than one questions and it is not specified that which question is to be…

Q: 7. Using Dimensional Analysis, check which of the following equations is or are correct. a. pgh3 ma…

Q: Problem 1 - Unit Conversions A plane moves with speed v = 400 km/h; rewrite v in m/s. The density of…

A: 1 km consists of 1000 m and 1 hour has 3600 sec. 1 kg has 1000 gm and 1 m has 100 cm .

Q: (3) The natural independent variables for U are (S,V), from dU = TdS – pdV . U = U(S,V) gives simple…

A: The entropy differential equation in terms of T and V is given by: dS(V,T)=(∂S∂V)TdV + (∂S∂T)vdT…

Q: (II) (a) How many seconds are there in 1.00 year? (b) How many nanoseconds are there in 1.00 year?…

A: (a) From the unit conversion, the seconds in 1.00 year can be determined as, 1 year=1 year=1…

Q: Answer each question yes or no. Must two quantities have thesame dimensions (a) if you are adding…

A: a) To add two quantities, their dimensions must be same. For example, one cannot add 1 meter and 1…

Question

Thanks!

9. Use dimensional analysis to determine which of the following equations is certainly wrong (show proof)<
m
2 = vt
F =
F =
h =
2g
(2gh)2
a
Where i and h are lengths and F is force with dimension of [mass Length Time?]. The other symbols have their usual
meaning. e
Example answer: for 2 = v t, its dimensional analysis is Length = (length/time)*(time) → so this is correct.
10. A body with initial velocity 8.0 m/s moves along a straight line with constant acceleration and travels 640. meters in
40.0 seconds. For this 40.0 second interval, find e
(a) the average velocity in m/s
(b) the final velocity (m/s)
(c) the acceleration with correct unite

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1 Solution of (9)

Step 2 λ = vt

Step 3 F = m/a

Step 4 F = mv/t

Step 5 h = v²/2g

Step 6 v = √(2gh)

Trending now

This is a popular solution!

Step by step

Solved in 6 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Suppose your hair grows at the rate of 1/32 inch per day. Find the rate at which it grows in nanometers per second. Because the distance between atoms in a molecule is on the order of 0.1 nm, your answer suggests how rapidly atoms are assembled in this protein synthesis.
One gallon of paint (volume = 3.79 103 m3) covers an area of 25.0 m2. What is the thickness of the fresh paint on the wall?
A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west corner, she measures the first side to be 80.0 m long and the next to be 105 m. These sides are represented as displacement vectors A from B in Figure 3.61. She then correctly calculates the length and orientation of the third side C. What is her result?
Answer each question yes or no. Must two quantities have the same dimensions (a) if you are adding them? (b) If you are multiplying them? (c) If you are subtracting them? (d) If you are dividing them? (e) If you are equating them?
Treat a cell in a human as a sphere of radius 1.0 m. (a) Determine the volume of a cell. (b) Estimate the volume of your body. (c) Estimate the number of cells in your body.
If the population in a certain country was discovered to be increasing at a steady rate of 6 percent every decade, how many years would it take for the population of that nation to double in size?
A farmer wants to fence off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in Figure 3.62, and then correctly calculates the length and orientation of the fourth side D. What is his result?
The length and width of a rectangular room are measured to be 3.9550.005 m and 3.0500.005 m. Calculate the area of the room and its uncertainty in square meters.
Solving Problems in Physics What information do you need to choose which equation or equations to use to solve a problem?
Each of the following equations was given by a student during an examination: (a) 12mv2=12mv02+mgh (b) v = v0 + at2 (c) ma = v2. Do a dimensional analysis of each equation and explain why the equation cant be correct.
Answer each question yes or no. Must two quantities have the same dimensions (a) if you are adding them? (h) If you are multiplying them? (c) If you are subtracting them? (d) If you are dividing them? (e) If you are equating them?
Answer each question yes or no. Must two quantities have the same dimensions (a) if you are adding them? (b) If you are multiplying them? (c) If you are subtracting them? (d) If you are dividing them? (e) If you are equating them?