A classmate describes a trick he saw using Newton's cradle. He pulled back two of the cradle balls and let them swing down to strike the line of other balls. He then saw three balls swing away on the other side with the same speed as the first two balls. The three balls only rose to 2/3 of the original height. Explain what must be wrong with your classmate's
description.

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be

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.