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The formula for kinetic energy is: KE = 1/2 x mass x velocity squared. We can plug in the information for the ball into this equation to determine the kinetic energy. The mass is 0.5 kg and the velocity is 10 meters per second. So: KE = (1/2)(0.5)(10)^2. Thus the kinetic energy of the ball is 25 J. The unit Joule (J) is the same as kgm^2/s^2 and is the SI unit for kinetic energy.
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The kinetic energy of a ball with a mass of 0.5 kg and a velocity of 10 m/s is  J.

Solution:

  • We have the following data:

→ KE (kinetic Energy) = ? (in SI your unit is given in Joule)

→ m (mass) = 0.5 kg  

→ v (velocity) = 30 m/s

  • Apply the data found to the kinetic energy formula, we have:

[tex]KE = \dfrac{1}{2}*m*v^2[/tex]

[tex]KE = \dfrac{1}{2}*(0.5\:kg)*(10\:\frac{m}{s})^2[/tex]

[tex]KE = \dfrac{0.5*100}{2}\:kg*\dfrac{m^2}{s^2}[/tex]

[tex]KE = \dfrac{50}{2}\:kg*\dfrac{m^2}{s^2}[/tex]

[tex]\boxed{KE = 25\:kg*\dfrac{m^2}{s^2}}[/tex]

If, 1 Joule = 1 kg.m²/s², then:

[tex]\boxed{\boxed{KE = 25\:J}}\:\:\:\:\:\:\bf\green{\checkmark}[/tex]

  • Answer:

The kinetic energy of a ball is 25 Joules

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