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 $V = \sqrt{\frac{2K}{M}}$, we can square both sides to get $V^{2}=\frac{2K}{M}$, and then solve for $K$: $K=\frac{MV^{2}}{2}$.

Step2: Substitute the given values

We are given that $M = 2500$ kg and $V = 40$ m/s. Substitute these values into the formula $K=\frac{MV^{2}}{2}$.
$K=\frac{2500\times40^{2}}{2}$.
First, calculate $40^{2}=1600$. Then $2500\times1600 = 4000000$. And $\frac{4000000}{2}=2000000$ joules.

Answer:

B. 2,000,000 joules