Question

The kinetic energy of a ball with a mass of 0.5 kg and a velocity of 10 m/s is ....... J.

Answer 1

Hello!

The kinetic energy of a ball with a mass of 0.5 kg and a velocity of 10 m/s is  ...... J.

We have the following data:  

KE (Kinetic Energy) = ? (in Joule)

m (mass) = 0.5 Kg

v (speed) = 10 m/s  

Formula to calculate kinetic energy:  

$KE = \dfrac{1}{2} *m*v^2$

Solving:  

$KE = \dfrac{1}{2} *m*v^2$

$KE = \dfrac{1}{2} *0.5*10^2$

$KE = \dfrac{1}{2} *0.5*100$

$KE = \dfrac{50}{2}$  

$\boxed{\boxed{KE = 25\:Joule}}\Longleftarrow(kinetic\:energy\:of\:a\:ball)\end{array}}\qquad\quad\checkmark$

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I Hope this helps, greetings ... Dexteright02! =)

Answer 2

The kinetic energy of a moving object is given by:
$K= \frac{1}{2} mv^2$
where m is the mass of the object and v is its speed. The ball in this problem has a mass of m=0.5 kg and a velocity of v=10 m/s, therefore if we plug these numbers into the formula, we find the kinetic energy of the ball: 
$K= \frac{1}{2} (0.5 kg)(10 m/s)^2=25 J$