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Chapter 6: Q15 P (page 276)

A baseball of mass144ghas a velocity of(22,23,-11). What is the kinetic energy of the baseball?

Short Answer

Expert verified

The kinetic energy of the baseball is,81.65J.

Step by step solution

01

Identification of the given data 

The given data can be listed below as,

- The mass of baseball is, m=144g=144脳103kg

- The speed of baseball is, v=(22,23,-11)m/s

02

Significance of kinetic energy

The kinetic energy is a form of energy that an object or particle retains due to its motion.

03

Determination of the kinetic energy in +x direction

The relation of kinetic energy is expressed as,

K-12mv2

(i)

Here Kis the kinetic energy, mis the mass of the baseball and Vis the speed of the baseball.

The speed of the baseball is expressed as,

V=(22i^+23j^-11k^)m/s

vL鈭�=222+232+(-11)2m/s

=33.67m/s

Substitute 144脳10-3kgfor mand 33.67m/sfor vin the equation (i).

K=12脳144脳10-3kg脳(33.67m/s)2

=81.65J

Hence the kinetic energy of the baseball is, localid="1657723057055" 81.65J.

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