Which one among the following statements is WRONG? -A physical expression (formula) has the correct form only if the dimensions on both sides of the equation are the same. -Dimensions of physical quantities can be treated as algebraic quantities. -Physical quantities having the same dimensions can be added or can be substracted. -Physical quantities having the same dimensions can neither be added nor substracted.

Q: Area The bottom of a planter is to be made in the shape of an isosceles triangle, with the two equal…

A: Equal side of isosceles triangle: a = 3 ft Third side of triangle: b = 2 ft  Area of bottom of…

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

A: a) b)

Q: Must two quantities have same dimensions (a) if you are adding them? (b) if you are multiplying…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. From the figure shown below, (a) express all four vectors A, B,C,& D in unit vector notation (b)…

A:

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: 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…

A:

Q: (a) What is the area and uncertainty in area of one side of a rectangular wooden board that has a…

A:

Q: A biochemist is testing the effect of a new antibiotic on a particular mould growing in a petri dish.…

A: Given r=0.5t cm Bacteria growth in a circular path without any antibiotic. where t is measured in…

Q: Problem 6: The sides of a small rectangular box are measured to be 1.55 + 0.045 cm, 2.1 + 0.025cm,…

A:

Q: Iron has a mass of 7.87 g per cubic centimeter of volume, and the mass of an iron atom is 9.27 ×…

A:

Q: Working the answers from the previous question, what would be the relative uncertainty of the area?…

A: Given: Length of the wooden board L=35.7 cm Width of the wooden board W=28.6 cm Uncertainty in…

Q: The following lengths are given in meters. Use metric prefixes to rewrite them so the numerical…

A: Given that : a. 1.8 x10^6m  b. 0.068 m  c.5.7x10^-10m  d.3.8 x10^4m

Q: Which of the following quantities has the greatest order of magnitude?    1. the number of stars in…

A: Given: There are three values having different magnitude as follows, Number of stars in Milky Way…

Q: Kinetic energy KE (Chapter 5) has dimensions kg · m2/s2 . It can be written in terms of the momentum…

A: a. write the equation for kinetic energy and solve for momentum.

Q: 58. In the SI system the unit of force, the Newton, is a derived unit. True False 59. The meter,…

A:

Q: ds and a = dt dv Suppose quantity s is a length and quantity t is a time. Suppose the quantities v…

A:

Q: A model for the surface area of some solid object is given by S = 0.141w0.797 0.466, where w is the…

A:

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

A: (a) Sum of the measured values 756+37.2+0.83+2=800 (b) The product 0.0032×356.3=1.1

Q: The period of oscillation of a simple pendulum is given by the equation T = k(L/ g)^1/2 where T is…

A: T=kLgT2=k2Lg

Q: Azelastine hydrochloride is an antihistamine nasal spray. A standard size container holds one fluid…

A:

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

A: a)533+35.0+0.80+9=577.8Here 533 has no decimal place significant figure than answer shouldround off…

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: where: m = mass, l = length, z = distance, t = time, v = speed = x/t, a = acceleration = v/t. (a)…

A:

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: 3. The graph models A, the area in square feet of a rectangular porch with a length that is o.56w…

A:

Q: three dimensions always have a particular relationship defined by the variable x.

A:

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: The length and width of a rectangular room are measured to be 3.885 ± 0.0065 m and 3.2 ± 0.0045 m.…

A: Please see the answer

Q: The micrometer (1 um) is often called the micron. (a) How many microns make up 3.8 km? (b) How many…

A:

Q: A pyramid has a height of 488 ft and its base covers an area of 10.0 acres. The volume of a pyramid…

A: A) Volume of pyramid: V = 13(area of base ×height)V = 13(10 acrea)(43560 ft21 acre)(488 ft)V = 70.85…

Q: Problem 3. It takes 7.00 min to fill a 30.0-gal gasoline tank. (a) Calculate the rate at which the…

A: 3) Volume of gasoline tank (V) = 30 gal Time taken to fill the tank (t) = 7 min

Q: Convert the following measurements to metric units with power-of-ten prefixes. Do not use scientific…

A: To convert : Given measurements to metric prefixes

Q: An astronomical unit (AU) is the average distance between the Earth and the Sun, approximately 1.50…

A: Given data:  1 AU = 1.50 × 108 km Speed of light (c) = 3.00 × 108 m/s Required: The speed of light…

Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.