if the mass of a player triples(3x), his kinetic energy will

a) not change
b) double (2x)
c) triple(3x)
d) quadruple(4x)

Respuesta :

It would triple because it is adding 3 more times the number that you started with

Answer:

c) triple(3x)

Explanation:

The equation for kinetic energy is:

[tex]k=\frac{1}{2}mv^2[/tex]

if the mass triples we will have that the new kinetic energy [tex]k'[/tex] is:

[tex]k'=\frac{1}{2}(3m)v^2[/tex]

which can also be written as:

[tex]k'=3(\frac{1}{2}mv^2)[/tex]

and [tex]\frac{1}{2}mv^2[/tex] is the original kinetic energy [tex]k[/tex], so:

[tex]k'=3(k)[/tex]

⇒the new kinetic energy is three times the original kinetic energy.

the answer is: his kinetic energy will triple (3x) which is option c.