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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=144×103kg

- 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∣=222+232+(-11)2m/s

=33.67m/s

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

K=12×144×10-3kg×(33.67m/s)2

=81.65J

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

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Most popular questions from this chapter

It is not very difficult to accelerate an electron to a speed that is 99%of the speed of light, because the electron has such a very small mass. What is the ratio of the kinetic energy K to the rest energy mc2in this case? In the definition of what we mean by kinetic energy K, E=mc2+k, you must use the full relativistic expression for E, because v/c is not small compared to 1.

The point of this question is to compare rest energy and kinetic energy at high speeds. An alpha particle (a helium nucleus) is moving at a speed of 0.9993times the speed of light. Its mass is 6.40×10-27kg(a) what is its rest energy? (b) Is it okay to calculate its kinetic energy using the expressionK-12mv2?(c) What is its kinetic energy? (d) Which is true? A. the kinetic energy is approximately equal to the rest energy. B. The kinetic energy is much bigger than the rest energy. C. The kinetic energy is much smaller than the rest energy.

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