The dimensions of the quantity kinetic energy, designated by K, are kg · m2/s². It can be written in terms of the momentump and mass m as K = P* . 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 measured in units of newtons, N, where 1 N = 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 10-13 kg • m2/s2. Based on this, what are the units of momentum for a high-speed subatomic particle in terms of fundamental SI units? (P) = What are the units of momentum for a high-speed subatomic particle in terms of a newton and another fundamental SI unit? [p) =

The dimensions of the quantity kinetic energy, designated by K, are kg · m2/s². It can be written in terms of the momentump and mass m as K = P* . 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 measured in units of newtons, N, where 1 N = 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 10-13 kg • m2/s2. Based on this, what are the units of momentum for a high-speed subatomic particle in terms of fundamental SI units? (P) = What are the units of momentum for a high-speed subatomic particle in terms of a newton and another fundamental SI unit? [p) =

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 7OQ: One student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm 0.1 cm....

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One student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm 0.1 cm. Other students measure the thickness with vernier calipers and obtain four different measurements: (a) 4.32 cm 0.01 cm. (b) 4.31 cm 0.01 cm, (c) 4.24 cm 0.01 cm, and (d) 4.43 cm 0.01 cm. Which of these four measurements, if any, agree with that obtained by the first student?
The followings are the measurements from one group of students: M1=127.01 g, M2=49.40 g, Xi=33.90 cm, Xf=87.90 cm, Δt = 1.38 sec, what should be their μk value? Enter the result with correct significant figures.
In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably more comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical intuition. More precisely, show that (a) 1.0 m/s = 3.6 km/h and (b) 1.0 m/s = 2.2 mi/h.
In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably more comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical intuition. More precisely, show that (a) 1.0 m/s = 3.6 km/h and (b) 1.0 m/s = 2.2 mi/h. American football is played on a 100-yd-long field, excluding the end zones. How long is the field in meters? (Assume that 1 m = 3.281 ft.)
A student solving for the acceleration of an object has applied appropriate physics principles and obtained the expression a=a1+Fma=a1+Fm where a1=3.00a1=3.00 meter/second2meter/second2, F=12.0kilogram⋅meter/second2F=12.0kilogram⋅meter/second2 and m=7.00kilogramm=7.00kilogram. First, which of the following is the correct step for obtaining a common denominator for the two fractions in the expression in solving for aa?
1) The units for energy are kgm^2/s^2. What units must the constant A have in the following equation,assuming E stands for energy, M for mass, L for length, and T for time? E=AL^2 M^2 T^-3 a) s/kg b) s^2/kg c) s/kg^2 d) s/m times kg e) s times m/s^2
A rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been drawn. The coordinates (meters) of the rabbit’s position as functions of time t (seconds) are given by x=-0.31t2 + 7.2t + 28 (4-5) and y =0.22t2 - 9.1t + 30. (4-6) (a) At t = 15 s, what is the rabbit’s position vector in unitvector notation and in magnitude-angle notation?
The quantity p = 3.14159c is a number with no dimensions, since it is a ratio of two lengths. Describe two or three other geometrical or physical quantities that are dimensionless.
An equation for potential energy states U = Mgh. If U is in kg·m^2 ·s−2, M is in kg, and g is in m ·s−2, what are the units of h? a) s b) m^2 c) m d) g^-1
A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is crawling on an adjacent wall at a point having coordinates (3.1, 1.7), where the units are meters, what is the location of the fly in polar coordinates?
A traditional unit of length in Japan is the ken (1 ken 1.97 m).What are the ratios of (a) square kens to square meters and (b) cubic kens to cubic meters? What is the volume of a cylindrical water tank of height 5.50 kens and radius 3.00 kens in (c) cubic kens and (d) cubic meters?
As of September 2021, which of the following fundamental SI units are based on a physical artefact instead of a natural phenomenon? (A) Kilogram (B) Second (C) Mole (D) None of the above True or false? In dimensional analysis, the units in equations are treated just like any other algebraic quantity. True or false? If an equation is dimensionally consistent, then it implies that is physically correct