Respuesta :
Answer:
the ball is rolling 7m/s
Explanation:
Formula for kinetic energy: 1/2mv²
K = 1/2mv²
98 = 1/2(4)v²
98 = 2v²
49 = v²
√49 = v
7 = v
The speed of the ball at the given mass and kinetic energy is 7 m/s.
The given parameters;
- kinetic energy of the ball, K.E = 98 J
- mass of the ball, m = 4 kg
The speed of the ball is calculated as follows;
[tex]K.E = \frac{1}{2} mv^2[/tex]
where;
v is the speed of the ball
[tex]v = \sqrt{\frac{2K.E}{m} } \\\\v = \sqrt{\frac{2\times 98}{4} } \\\\v = 7 \ m/s[/tex]
Thus, the speed of the ball at the given mass and kinetic energy is 7 m/s.
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