A spring with constant k = 78 N/m is at the base of a frictionless, 30.0°-inclined plane. A 0.50-kg block is pressed against the spring, compressing it 0.20 m from its equilibrium position. The block is then released. If the block is not attached to the spring, how far up the incline will it travel before it stops?

Explanation:

The given data is as follows.

   Spring constant (k) = 78 N/m,    

 Mass of block (m) = 0.50 kg

According to the formula of energy conservation,

                mgh sin

       h =

          =

          = 0.64 m

Thus, we can conclude that the distance traveled by the block is 0.64 m.

conservation of mass

mass before something happens = mass afterwards

the aurora is formed when charged particles emitted from the sun during a solar flare penetrate the earth's magnetic shield and collide with atoms and molecules in our atmosphere. these collisions result in countless little bursts of light, called photons, which make up the aurora.

auroras are generated by charged solar particles hitting molecules in earth's atmosphere. this usually happens in high latitudes, because our planet’s magnetic field tends to funnel these particles toward the poles. that’s why it can be experienced in northern ohio.