How much force is required to give a 500kg crate an acceleration of 2 m/s2 on an icy surface without friction?

To determine the force required to give a 500 kg crate an acceleration of 2 m/s^2 on an icy surface without friction, you can use Newton's second law of motion. The formula for force (F) is given by:

F = m * a

where:
F is the force applied,
m is the mass of the object,
and a is the acceleration.

In this case, the mass of the crate is 500 kg and the acceleration is 2 m/s^2. Plugging these values into the equation, we can calculate the force required:

F = 500 kg * 2 m/s^2
F = 1000 N

Therefore, the force required to give the 500 kg crate an acceleration of 2 m/s^2 on an icy surface without friction is 1000 Newtons.