suppose the glider is initially at rest at x=0, with the spring unstretched. You then apply a constant force in the +x direction with magnitude 0.610 N to the glider. what is the glider's velocity when it has moved 0.100m?

To determine the glider's velocity when it has moved 0.100m, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).

In this scenario, a constant force is applied to the glider in the positive x-direction with a magnitude of 0.610 N. Since the glider is initially at rest, we can assume that its mass is constant throughout the motion.

To find the acceleration, we can use Hooke's law, which describes the relationship between the force exerted by a spring and its displacement from equilibrium (F = -kx). Since the spring is initially unstretched (x = 0), there is no force acting on the glider due to the spring.

Therefore, the only force acting on the glider is the applied force in the +x direction. So, we have F = ma, where F is the applied force and m is the mass of the glider. Rearranging the equation, we get a = F/m.

To find the glider's acceleration, we need to divide the magnitude of the applied force (0.610 N) by the glider's mass. Let's assume the mass of the glider is m kg.

Now, let's consider the glider's motion. When the glider has moved 0.100m, it means it has undergone a displacement of 0.100m in the positive x-direction.

To find the velocity of the glider, we can use the kinematic equation:

v^2 = v0^2 + 2aΔx

Here, v^2 represents the final velocity squared, v0^2 represents the initial velocity squared (which is zero since the glider is initially at rest), a represents the acceleration, and Δx represents the displacement.

Rearranging the equation, we can solve for v (the velocity of the glider):

v = √(v0^2 + 2aΔx)

Substituting the values we have:

v = √(0 + 2a(0.100))

Now, we can substitute the calculated value of acceleration (a) into the equation and solve for the velocity (v).