Respuesta :

KE=1/2*m*v^2
So 480=1/2 * m * 8^2
480=1/2 * m * 64
480=32 * m
480/32=m
15=m
Hello!

We have the following data:

KE (Kinetic Energy) = 480 J
m (mass) = ? (in Kg)
v (speed) = 8 m/s

Formula to calculate kinetic energy:

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

Solving:

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

[tex]480 = \frac{1}{2} *m*8^2[/tex]

[tex]480 = \frac{1}{2} *m*64[/tex]

[tex]480*2 = 64*m[/tex]

[tex]960 = 64m[/tex]

[tex]64m = 960[/tex]

[tex]m = \frac{960}{64} [/tex]

[tex]\boxed{\boxed{m = 15\:Kg}}\end{array}}\qquad\checkmark[/tex]