Here in this example question it says a 1.56×1013 picogram gaseous particle travels at 6.21 meters per second. Determine its kinetic energy. All right, Remember kinetic energy equals half your mass in kilograms times your velocity squared.

What we need to do first is convert our picograms into kilograms. So we have 1.56×1013 picograms. Remember 1 pico is 10-12 and then we want to get rid of grams so they go on the bottom kilograms. On top, 1K is 103, so that's going to give me 0.0156 kilograms.

We're going to plug this into our formula. So it's going to be half 0.0156kg × 6.21 meters squared a meters over seconds, and that's holding squared. When you punch this into your calculator, you're going to get 1.203 kilograms times meter squared over second squared, which is just joules. This is 1.203 Joules.

Here it'll specify joules or kilojoules. If we want to change this to kilojoules, you could just say 1.203 joules. 1K is 103, so this will be 0.001203 kilojoules or 1.20×10-3 joules. And then this one here would be 1.20 joules having oh kilojoules having one in kilojoules and one in joules. Both here are acceptable answers because again, I didn't specify what units to have kinetic energy in, so either one is is acceptable.