A truck has four times the mass of a car and is moving with twice the speed of the car.If K_t and K_c refer to the kinetic energies of truck and car respectively,it is correct to say that A)K_t = 16K_c. B)K_t = 4K_c. C)K_t = 2K_c. D)K_t = K_c. E)K_t = $\frac { 1 } { 2 }$ Kc.

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Quizplus · Accepted Answer

The kinetic energy (KE) formula is $KE = \frac{1}{2}mv^2$, where $m$ is mass and $v$ is velocity. Given the truck has four times the mass ($4m$) and twice the speed ($2v$) of the car, the truck's kinetic energy is $KE_{truck} = \frac{1}{2} \times 4m \times (2v)^2 = 16 \times \frac{1}{2}mv^2$, which is 16 times the kinetic energy of the car ($KE_{car}$).

A Truck Has Four Times the Mass of a Car 12\frac { 1 } { 2 }21​

A Truck Has Four Times the Mass of a Car $\frac { 1 } { 2 }$