Calculating Velocity from Kinetic Energy: A Homework Problem Solution"

[huskiehenne]

Homework Statement

A car witha mass of 1500 kg has a Kinetic Energy of 1,400,000 Joules. What is its velocity?

Homework Equations

I would assume that (K.E.=1/2 x m x v 2) could be used.

The Attempt at a Solution

I am not exactly sure how to attempt this question. Do we try to make velocity by itself in the above equation? I am not quite sure how to go about that...

 

[Defennder]

Yes, that's how you solve for v, isn't it?

 

[Moetasim]

I would approach this problem by first identifying the given information and the relevant equations. The given information includes the mass of the car (1500 kg) and its kinetic energy (1,400,000 Joules). The relevant equation is the formula for kinetic energy, which is KE = 1/2 * m * v^2.

Next, I would rearrange the equation to solve for velocity (v). This can be done by dividing both sides of the equation by 1/2 * m and then taking the square root of both sides. This gives us the equation v = √(2 * KE / m).

Now, I would plug in the given values for KE and m into the equation and solve for v. This gives us v = √(2 * 1,400,000 J / 1500 kg) = 48.5 m/s.

Therefore, the velocity of the car is 48.5 m/s. This approach allows us to use the given information and relevant equations to solve the problem and arrive at a numerical answer.