Want this question answered?
Gravity
increasing
no
Twice as long as it takes to roll halfway down the same ramp. Without knowing the size of the ball, and the length & angle of the ramp, thats the best I can tell you.
The cart stays where it is and doesn't move.
A ramp exerts no force, just gravity.
The gravitational force is.
Gravity
how does increasing the height of a ramp affect how far a ball rolls down the ramp
increasing
no
Hmm. . . You can't modify the ball or the ramp. Those are two constraints that don't leave much room for improvement. Is changing the pitch angle of the ramp allowed? I suppose not. How about moving the ramp into a vacuum chamber? If you place the ramp and ball in a vacuum chamber and purge the air, you will eliminate -- or at least greatly reduce -- the friction due to air resistance. In a vacuum, the ball should roll down the ramp faster. How about blowing the ball down the ramp? Get behind the ball and, once it's rolling, blow hard! Better yet, get a hair blow-dryer and really give it a boost.
Twice as long as it takes to roll halfway down the same ramp. Without knowing the size of the ball, and the length & angle of the ramp, thats the best I can tell you.
The heavy the crayon, it will roll down but it needs force to move it back up
The cart stays where it is and doesn't move.
The material of the ramp, the volume of the ball, and the mass of the ball.
friction