and r represent position and time, A) be dimensionless B) have the dimensions LUT C) have...
1. If Khas dimensions ML2/T 2, the α in K A. have the dimensions ML/T2, B. have the dimensions M. C. have the dimensions L/T2 D. have the dimensions L2/T2 E. be dimensionless. mv 2 must
1. If K has dimensions ML/T2, the a in K- amv2 must A. have the dimensions ML/T2 B. have the dimensions M C. have the dimensions L/T2 D. have the dimensions L2/T2. E. be dimensionless. 2. The prefix "milli" means A. 10-12 B. 10-6 10-3. D. 10-2. Lebron James' height is 6'8" (1'-0.3048 m, 1" 0.0254 m). Tallest player to ever play in NBA was Gheorghe Muresan, who is 231 cm tall. Determine the 3. absolute difference between players height.o...
1. In the following expressions, x and y represent lengths or positions, v represents a velocity, a represents acceleration, t represents a time, m is mass, and k has the value 2m?1. Use dimensional analysis to identify the invalid relationships: (a) vf = vi+ax, (b) y = (2m) cos(kx), (c) mat = mvx, (d) 2 ln(va=vb) = 6 sin(tb=ta). 2. A certain particle's position x at a time t is given by x = ka^mt^n, where k, m, and n...
find the dimensions of the quantities a, b and c in the equation e dimensions of the quantities a, band cin the Find the equation for the distance x as a function of time t. what type of quantity is the product abc? x = at + bcos(c't) A. Acceleration B. Pressure gradient C. Speed squared D. Energy rate E. Flow rate F. Time cubed
[4 marks) (Scaling) In Fisher's equation, и Ut = DUcx + ru(1 K the variables t, 2, and u have dimensions is time, length, and population (animal) per area respectively. The parameters are the growth rate r with units of 1/time, the carrying capacity K with units of population (animals) per area and the diffusion constant D with dimensions length-squared per time. Use the following scales to build dimensionless variables and rewrite the equation in a dimensionless form. t х...
Please help me on this. 9. Suppose A = B^n C^m, where A has dimensions L^10 T^4, B has dimensions L^2 T ^− 1, and C has dimensions L^2T ^2. Then the exponents n and m have the values: Group of answer choices n = -1 and m = 2 n = 3/5 and m =4/5 n = 2 and m= 3 n = 4/5 and m = −1/5 n = 1/4 and m = 3/4 13. Consider the position of a...
12. (True/False) (a) Let AE Rm*n . Then R(A) (b) Let AERm*n. Then N(A) is isomorphic to N(AT) (c) We define < A. B > = Tr (BTA ) where A, B E Rnxn . is isomorphic to R(A Then 〈 . , . 〉 is an inner product on Rmxn. (d) Consider a periodic-function space V with period of 1 sec. Define an inner product on V by <f,a>= f(t )a (t ) dt. Then cos 2 π t...
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and velocity...
Which of the following expressions does not have the correct dimensions for calculating the time it takes an object to fall to the ground? Force has dimensions of ? ⋅ ?/?2 a. volume/ (area x speed) b. distance/ speed c. √distance x mass / force (square root over the whole equation) d. velocity / acceleration e. area/acceleration The answer is E, but I do not understand how it is not B. Please show the dimensions for each. Thank you
In the figure, R = 12 B, C = UF, and L = 3 m, and the ideal battery has emf = 3 V. The switch is kept in position a for a long time and then thrown to position b. What are T R 8 b HE С L 000 (c) the maximum value of the current in the circuit? Select one O a. 0.15 A O b. 8.00 E-6 A c. 24.00 E-6 A d. 3.00 mA e....