Question

the kinetic energy (k, in joules) of an object can be found with the equation v = √(2k/m), where v is the velocity (m/sec) and m is the mass (in kg) of an object. determine the kinetic energy of an object with a mass of 2500 kg that has a velocity of 40 m/s. a. 1,500,000 joules b. 2,000,000 joules c. 2,500,000 joules d. 3,000,000 joules

Explanation:

Step1: Rearrange the kinetic - energy formula

The formula for kinetic energy is $K=\frac{1}{2}MV^{2}$. Given $V = \sqrt{\frac{2K}{M}}$, we can square both sides to get $V^{2}=\frac{2K}{M}$, and then $K=\frac{1}{2}MV^{2}$.

Step2: Substitute the given values

We are given that $M = 2500$ kg and $V = 40$ m/s. Substitute these values into the formula $K=\frac{1}{2}MV^{2}$.
$K=\frac{1}{2}\times2500\times40^{2}$.
First, calculate $40^{2}=1600$.
Then, $\frac{1}{2}\times2500\times1600 = 1250\times1600$.
$1250\times1600=2000000$ joules.

Answer:

C. 2,000,000 joules