College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

An object has a kinetic energy of 275 J and a momentum of magnitude 25.0 kg · m/s. Find the (a) speed and (b) mass of the object

(a)

To determine
The velocity of the object.

Explanation

Given Info: The kinetic energy of an object is 275â€‰J and the momentum of the object is 25.0â€‰kgâ‹…m/s .

The expression for Kinetic energyof the object is,

K.E=12mv2 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (I)

• m is the mass of an object,
• v is the velocity of the object,
• K.E is the kinetic energy,

The momentum of the object is,

p=mv Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  (II)

• p is the momentum

Divide the equation (i) by equation (ii) and rewrite in terms of v

(b)

To determine
The mass of the object.

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