Finding Ek with force, mass, and time.

[rowkem]

Homework Statement

A 10kg box at rest is being pushed on a frictionless surface by a force of 10N. The force is in the same direction as the motion of the box. 10 seconds later, how much kinetic energy will this box have?

Homework Equations

1. F=ma
2. V_f=V_i+at
3. E_k=0.5mv²

The Attempt at a Solution

I used formula 1 along with the F and mass to find the acceleration to be 1 m/s². Then, I plugged that into formula 2, given an initial velocity of 0, acceleration of 1 m/s², and a time of 10s. This gave me V_f at 10m/s. I used that in formula 3, with mass being 10kg. This gave me a final E_k of 500J.

Is this correct? 500J seems a little high but, I've no clue how else to do this. Thanks in advance.

 

[Ellyl]

1J is the energy exerted by a force of 1N thaat moves an object by 1m. The force in this case is 10N and the distance is 50m(0.5at^2=100/2), so 500J seems fine.