B) The force acting on an object is a function of time: F(t)= a t²+b/t, where tis time measured in seconds and F is Force measured in Newtons. a. What is the difference between Newtons and seconds in the SI-system? ......... b. Calculate the dimensions of the constants, a and b: c. Find the SI-unit of a²b [al= [b]= {a*b}s=
Q: could you please specify which numbers are superscripts ie the the πa2 written as πa2? Also section…
A: Given, Magnetic field by wire and ring
Q: Which of the following equations are dimensiona consistent?
A: Given:- A. v =at B. v = 12at2C. t = avD. v2= 2ax v is the speed, t is time, and a is acceleration.…
Q: problem, the symbols M, L, and T represent the dimensions mass, length, and time, respectively.…
A: Dimension of a quantity and its change has same value.
Q: What is the speed of a car going v=1.000 mph in SI units? Notice that you will need to change miles…
A: As per the question, the speed of the car is v mph, we have to convert the speed of the car v in SI…
Q: acceleration due
A: We say formulas used in physics are consistent with SI unit. The quantities that are independent of…
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: For the graph of vx versus t shown, estimate the following: i) What is the slope of the tangent line…
A: The above problem can be solved in two different ways. The first method using the two-point formula…
Q: Perform the following unit conversions: a) 65 miles per hour to meters per second (hint: 1 mile =…
A:
Q: * 36. (II) The speed v of an object is given by the equation v = At - Bt, where t refers to time.…
A:
Q: Cube A is 2 inches on a side. Cube B is 8 inches on a side. Determine the following: 1. The volume…
A: 1. volume of cube:we know that,volume=side3VA=23=8 in3VB=83=521 in3
Q: 2) A clock is advertised as being 99% accurate. Would you buy it? 3) Check the following equations…
A:
Q: e) Find a conversion factor to convert from miles per hour to kilometers per hour. ni/h x = km/h b)…
A:
Q: 10. Change of basis Let us now construct the vector (matrix representation) for a function g(x) =…
A: Given : g(x) = -2x+1
Q: this problem, the symbols M , L , and T represent the dimensions mass, length, and time,…
A: Quantities m , s , r , v , a , and t with dimensions [m]=M , [s]=L , [r]=L , [v]=LT−1 , [a]=LT−2 ,…
Q: Solve the following conversion problems, using the basic fact 1 in. = 2.54 cm in each case: A…
A:
Q: Suppose the volume V of some object happens to depend on time t according to the equation V(t)= At3…
A: we know that the quantities having same dimension can only be added or substracted.
Q: A. Volume Measurement Problem: You have 3 empty containers. One container holds 3L, a second holds…
A:
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: 2) a) What is 8.62 ×105s×105s in units of ks? b)What is 0.087 s in units of ms? c)What is 2.4…
A: Given : a) A = 8.62 ×105 s × 105 s. b) B = 0.087 s. c) C = 2.4 ×10—7 s × 10–7 s. Basic…
Q: The primary dimensions of the constants (a, b) given in the equation F(y) = V (by – ab) are equal…
A: The unit of a quantity in terms of dimension is defined as MxLyTz Here x,y and z depend on the unit…
Q: A car takes time t=(2.5±0.1) s to travel a distance Ax=(0.922±0.001) m. What is the relative…
A:
Q: Part B Problems: Measurement and Uncertainty; Significant Figures; Units, Standards, and the SI…
A:
Q: One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in…
A:
Q: The radius of a circle is measured to be (11.7 ± 0.7) m. Calculate each of the following and give…
A: Determine the area of the circle.
Q: State the number of significant digits and the implied precision of the given number. The number…
A: Given number is, 1.928x104
Step by step
Solved in 2 steps
- Kinetic energy KE (Chapter 5) has dimensions kgm2/s2. It can be written in terms of the momentum p (Chapter 6) and mass m as KE = p2/2m (a) Determine the proper units for momentum (p) using dimensional analysis. (b) Refer to Problem 2. Given the units of force, write a simple equation relating a constant force F exerted on an object, an interval of time t during which the force is applied, and the resulting momentum of the object, p.The average cost per unit P(x) in pesos, в 0.67 to produce x units of cellphone is 300 given by P(x) = x+50 what is the cost per unit when 400 cellphones are produced? Represent the speed of runner as a function E. S(x) = 50. of time it takes to run 400 meters. 2x +400 A fence is to enclose a rectangular garden Κ. P(x ) of Allan with an area of 400 square meters. If x is the length of one side of this fence, write an equation P(x) representing the perimeter of the fencing material required. 200 An object is to travel at a distance O. S(x) of 50 meters. Express velocity (S) as a function of travel time (x) in seconds. You are buying a concert ticket of Р. А\х) - 5000х Gary Valenciano that cost P5,000 each ticket. You can buy up to 10 tickets. Write the amount you spend as a function of the number of tickets you buy1. Please help me answer this physics question.
- ..................... The dimensions of the quantity kinetic energy, designated by K, are kg m/s, It can be written in terms of the momentum p and mass m as K = 2m (a) What are the units of momentum in terms of fundamental SI units? (Use the following as necessary: kg, m, and s.) [P) - (b) Force is measure in units of newtons, N, where 1N- 1 kg m/s. What are the units of momentum p in terms of a newton and another fundamental SI unit? (Use the. following as necessary: N, m, and s.) [P) = (c) What If? Physicists often measure the momentum of subatomic particles moving near the speed of light in units of MeV/c, where c is the speed of light, and 1 Mev = 1.6 x 101 kg m/s. Based on this, what are the units of momentum for a high-speed subatomic particle in terms of fundamental SI units? What are the units of momentum for a high-speed subatomic particle in terms of a newton and another fundamental SI unit? [P] -2abNewton's law of universal gravitation can be expressed by the equation F = G Mm r2 , where F is the gravitational force, M and m are masses, and r is a length. Force has the SI units kg · m/s2. What are the SI units of the proportionality constant G?
- Soccer fields vary in size. A large soccer field is 144 meters long and 84.4 meters wide. Hint a. What are its dimensions in feet? o Its length is ft. o Its width is b. What are its dimensions in inches? o Its length is o Its width is ft. in. in.A rectangle has a length of (5.1 ± 0.2) m and a width of (2.3 ± 0.1) m. Calculate: (a) the area and (b) the perimeter of the rectangle, Give the uncertainty in each value.Suppose a machine is invented to measure the amount of knowledge in a student’s head in units called “factoids.” One student is measured at F(t) = t³ − 6t² + 9t factoids at time t, where t is measured in weeks. a. Find the rate at which the student is gaining (or losing) knowledge as a function of time (be sure to give the units). b. During what time between t = 0 and 11 is the student losing knowledge? c. Sketch a graph of the function F(t).
- In the equation F= xt +yt?, F = Force and t= time. The dimensions of x and y respectively are O a. MLT-1 & MLTO Ob. MLT1 & MLT2 O. ML-'T & MLTO O d. M°LT-1 & MLTPls help ASAP. Pls give the significant figures of each of the answer.Wally wanted to find the volume of a cube. He measured the length of the cube as 4 in. Later, the actual length of the cube was more accurately measured as 4.1 in. What is the relative error in his volume calculation to the nearest hundredth? a. 0.06 b. 0.07 c. 0.08 d. 0.10