The kinetic energy of the bowling ball is 100.81 J.
Given data:
The mass of bowling ball is, m = 7.26 kg.
The time interval is, t = 3.64 s.
The length of path covered is, L = 19.2 m.
First obtain the speed of ball from the given equation,
[tex]v = \dfrac{L}{t}[/tex]
Here, v is the speed of ball.
Solving as,
[tex]v = \dfrac{19.2}{3.64}\\\\v=5.27 \;\rm m/s[/tex]
Now, the expression for the kinetic energy is,
[tex]KE = \dfrac{1}{2}mv^{2}[/tex]
Solve by substituting the values as,
[tex]KE = \dfrac{1}{2} \times 7.26 \times 5.27^{2}\\\\KE=100.81 \;\rm J[/tex]
Thus, we can conclude that the kinetic energy of the bowling ball is 100.81 J.
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