a) Acceleration is described as space divided by time squared. Determine the dimensions of acceleration and its SI units.b) Kinetic Energy K has dimensions kg m2/s2. It can be written in terms of momentum p and mass m following the equation below. Determine the dimensions of the momentum and its SI units.c) The unit of force is the newton N, where 1 N = 1 kg m/s2. Determine the dimensions and the SI units of the momentum in terms of newtons.d) Newton’s law of universal gravitation is F =Gm1m2/r2 , where F is the magnitude of the gravitational force exerted by one object on another, m1 and m2 are the masses of the objects, and r is the distance between them. Determine the dimensions and the SI units of the proportionality constant G. a) Acceleration is described as space divided by time squared. Determine the dimensions ofacceleration and its Sl units.b) Kinetic Energy K has dimensions kg m²/s2. It can be written in terms of momentum p andmass m following the equation below. Determine the dimensions of the momentum and itsSl units.K =2mc) The unit of force is the newton N, where 1 N = 1 kg m/s². Determine the dimensions andthe Sl units of the momentum in terms of newtons.d)Newton's law of universal gravitation is F =Gm;m2/r² , where F is the magnitude of thegravitational force exerted by one object on another, m1 and m2 are the masses of the ob-jects, and r is the distance between them. Determine the dimensions and the SI units of theproportionality constant G.

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Answered: a) Acceleration is described as space…

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 89CP: The purpose of this problem is to show the entire concept of dimensional consistency can be...

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a) Acceleration is described as space divided by time squared. Determine the dimensions of acceleration and its SI units.
b) Kinetic Energy K has dimensions kg m2/s2. It can be written in terms of momentum p and mass m following the equation below. Determine the dimensions of the momentum and its SI units.

c) The unit of force is the newton N, where 1 N = 1 kg m/s2. Determine the dimensions and the SI units of the momentum in terms of newtons.
d) Newton’s law of universal gravitation is F =Gm1m2/r2 , where F is the magnitude of the gravitational force exerted by one object on another, m1 and m2 are the masses of the objects, and r is the distance between them. Determine the dimensions and the SI units of the proportionality constant G.

a) Acceleration is described as space divided by time squared. Determine the dimensions of
acceleration and its Sl units.
b) Kinetic Energy K has dimensions kg m²/s2. It can be written in terms of momentum p and
mass m following the equation below. Determine the dimensions of the momentum and its
Sl units.
K =
2m
c) The unit of force is the newton N, where 1 N = 1 kg m/s². Determine the dimensions and
the Sl units of the momentum in terms of newtons.
d)
Newton's law of universal gravitation is F =Gm;m2/r² , where F is the magnitude of the
gravitational force exerted by one object on another, m1 and m2 are the masses of the ob-
jects, and r is the distance between them. Determine the dimensions and the SI units of the
proportionality constant G.

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