It's 50 watts per speaker. I think that the T-amp would be fine for mp3 or laptop listening. The T-amp is only 15 watts per channel, but that is double or triple what most boom boxes have. It should be more than enough for small speakers.
Human hearing is logarithmic, so to double the volume requires 10 times the power!
Most home stereo speakers have a sensitivity or SPL (sound Pressure level) between 85 and 95 decibels (this is overly generalized and there are many exceptions)
SPL for speakers is rated at 1 watt.
So, lets assume that your speakers have an spl of 90db (probably in the ballpark). 1 watt of power would produce 90 decibels, this is like me yelling at you from a few feet away. So 10 watts would produce 100db (120db causes physical pain) most people don't listen to anything this loud.
As long as you don’t crank it up to high you should have reasonable headroom.
So in conclusion, The T-amp should be enough power for your speakers.
Sorry is any of this information is confusing, I you would like to know more about audio in general and have a better overall understanding of these issues, Rod Elliot has many very informative articles here
http://sound.westhost.com/index.html
...Or if you just want to use your new speakers and listen to music buy the T-amp or similar product and enjoy!