Aspring of spring constant k = 340 nm-1 is used to launch a 1.5-kg block along a horizontal surface by compressing the spring by a distance of 18 cm. if the coefficient of sliding friction between the block and the surface is 0.25, how far does the block slide?

The block slides 1.5m

Explanation:

To solve this problem we need the concepts relate to work energy, work done, frictional force and normal force.

We know for definition that,

Where W is the work and \Delta KE the change in Kinetic Energy, F the force and d the distance.

The expression is relate to the Hook's law where F=kx, being k the elastic constant and x the displacement of the object.

We know as well that Frictional Force is given by

Where is the coefficient of friction, m the mass and g the gravity acceleration.

We can now solve the problem. Using the first equation we have,

Using the second form for work,

Here we know that is zero and F_f is equal to mg

Re-arrange for d,

Replacing the values we have,

The block slides 1.5m

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.