Five ramps lead from the ground to the second floor of a workshop. all five ramps have the same height; ramps b, c, d, e have the samelength; ramp a is longer than the other four. you need to push acart to the second floor and you may choose any of the fiveramps.

assuming no frictional forces act on the cart, which ramp wouldrequire you to do the least work?

Aray of light traveling parallel to the principal axis of a concave mirror will be reflected through the mirror's

Samir watches a 100-minute movie on his spaceship. maria's spaceshipe flies in the same direction as samir's spaceship but she observes his move to last 125 minutes and his spaceship to be 40 m long. how long does samir observe his own spaceship to be? according to an observer on earth, planet x is stationary. maria and samir depart earth on their spaceships at the same time, each flying at 0.5c. maria flies toward planet x and samir flies in the opposite direction. according to maria, her voyage to planet x takes 9 years. how many years does marias voyage take according to samir?

Students design a model roller-coaster track. they place a rubber ball at the highest point on the track and let it go. the ball rolls along the track pulled only by the force of gravity. eventually, it comes to a stop. which change to the design will result in the ball moving the greatest distance?