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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