   Chapter 1, Problem 6P

Chapter
Section
Textbook Problem

Kinetic energy KE (Topic 5) has dimensions kg · m2/s2. It can be written in terms of the momentum p (Topic 6) and mass m as KE= p 2 2 m (a) Determine the proper units for momentum using dimensional analysis. (b) Refer to Problem 5. 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.

(a)

To determine
The proper unit of momentum using dimensional analysis.

Explanation

Given Info: The equation for the momentum which relates with kinetic energy is E=p2/2m

Rearrange the formula of the momentum,

p=2mE

Here,

p is the momentum

m is the mass

E is the kinetic energy

Substitute the dimension [M] for [m], [ML2T2] for E  to find the unit of p

(b)

To determine
The simple equation which relates the force and the momentum.

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