contestada

Suppose a moving car has 2000 J of kinetic energy. If the carʹs speed doubles, how much kinetic energy would it then have?
A) 8000 J
B) 6000 J
C) 1000 J
D) 4000 J
E) 2000 J

Respuesta :

Answer:

option A

Explanation:

given,

Kinetic energy of the car = 2000 J

speed of the car is doubled

we know,

[tex]KE_1 = \dfrac{1}{2}mv^2[/tex]

[tex]2000= \dfrac{1}{2}mv^2[/tex]........(1)

now, speed of the car is doubled

v' = 2 v

[tex]KE_2 = \dfrac{1}{2}mv'^2[/tex]

[tex]KE_2 = \dfrac{1}{2}m(2v)^2[/tex]

from equation (1)

[tex]KE_2 = 4\times \dfrac{1}{2}m(v)^2[/tex]

[tex]KE_2 = 4\times 2000[/tex]

[tex]KE_2 = 8000\ J[/tex]

Hence, the Kinetic energy would be equal to 8000 J.

The correct answer is option A.