How much force is needed to accelerate a 66 kg skier at 2 m/s^2?

According to Newton's second law of motion, force applied is the product of mass and the acceleration of an object. In other words,

F = m x a

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

In this case, mass of the skier = 66 kg

and the required acceleration = 2 m/s^2.

We can calculate the required force using Newton's second law of motion as:

force needed = mass x acceleration 

= 66 kg x 2 m/s^2 = 132 N.

Thus, a force of 132 N is needed to accelerate a skier, having a mass of 66 kg, by 2 m/s^2.

Note that we can also use the same equation to determine the weight of the skier. In that case, the acceleration will be equal to the acceleration due to gravity (9.8 m/s^2).

Hope this helps.