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Suppose an automobile has a kinetic energy
of 2300 J.
When it moves with nine times the speed,
what will be its kinetic energy?
Answer in units of J.

Respuesta :

Answer:

[tex]KE_{new}=186300 J[/tex]

Explanation:

Given:

[tex]KE=2300J[/tex]   [tex]n=9[/tex]

[tex]v_{new}=n*v_{old}[/tex]

[tex]\frac{KE_{new}}{KE_{old}}=\frac{v^2_{new}}{v^2_{old}}=\frac{(n*v_{old})^2}{v^2_{old}}=n^2[/tex]

[tex]KE_{new}=n^2KE_{old}[/tex]

[tex]KE_{new}=(9)^2(2300)[/tex]

[tex]KE_{new}=186300 J[/tex]

Scientific notation

[tex]KE_{new}= 1.863*10^5 J[/tex]

Hope it helps