Jimmy has two options for moving a piano up to the second floor of a hotel, which is 10 m above his current position. He can push the piano up 50 m ramp or lift the piano up with a rope wrapped around a pulley. Which option will require him to exert a greater average force? Neglecting friction, which option will require more work?

Lifting straight up, even with a rope and pulley, always takes more force than going up a slanted ramp to the same height.

But if you use the ramp, then you have to exert the force over a greater distance (pull more rope to lift to the same height).

Astonishingly, the product of (force) x (distance) is the same number either way.  So without friction, the total amount of work required is the SAME whichever way the piano is lifted.

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees. 

i would like to make dinner for my mom, dad, and sister