The image below shows four soccer balls at different
locations on an uneven soccer field. Which ball has the
greatest amount of kinetic energy? Explain your answer.

The image below shows four soccer balls at different locations on an uneven soccer field. Which ball has the greatest amount of kinetic energy? Explain your ans class=

Answer :

abarry0516

Answer: letter d

Step-by-step explanation:

jacob193

Answer:

Ball D. Among the four balls in this picture, ball D is the only one whose kinetic energy is greater than [tex]0[/tex].

Step-by-step explanation:

Consider an object of mass [tex]m[/tex]. If this object is moving at a speed of [tex]v[/tex], the kinetic energy of this object would be:

[tex]\displaystyle \frac{1}{2}\, m \cdot v^{2}[/tex].

The speed [tex]v[/tex] of ball A, B, and C are all [tex]0[/tex].  Hence, the kinetic energy of these three balls would be [tex]0\![/tex].

The speed of ball D is greater than [tex]0[/tex]: [tex]v = 2\; \rm m \cdot s^{-1}[/tex]. The kinetic energy of this ball would be:

[tex]\begin{aligned} {\rm KE} &= \frac{1}{2}\, m \cdot v^{2} \\ &= \frac{1}{2}\times \rm 0.43\; \rm kg \times \left(2\; \rm m \cdot s^{-1}\right)^{2}\\ &= 0.86\; \rm J\end{aligned}[/tex].

Hence, the kinetic energy of ball D is the greatest among the four balls in this picture.

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