Rank from fastest to slowest. a)a solid ball rolling down a ramp without slipping b)a cylinder rolling down the same ramp without slipping. c)a block sliding down a firctionless ramp with the same height and slope.

Select all that apply.
The ball is fastest
The cylinder is fastest
the ball the slowest
the block is slowest
the cylinder is slowest
the block is fastest

the cylinder is slowest

the block is fastest

The correct ranking from fastest to slowest is:

1) The block sliding down a frictionless ramp, since there is no friction opposing its motion.
2) The cylinder rolling down the same ramp without slipping, since it experiences some rotational motion in addition to linear motion.
3) The solid ball rolling down the ramp without slipping, as it also experiences rotational motion but has a larger mass compared to the cylinder.

To determine the rank from fastest to slowest, we need to consider the factors that affect their motion. The relevant factors in this scenario are the shape, mass distribution, and whether there is slipping involved.

a) A solid ball rolling down a ramp without slipping:
In this case, the ball's shape and mass distribution are concentrated at a single point. When it rolls down the ramp without slipping, the force of gravity acting on it causes it to accelerate. Since it has a smaller moment of inertia compared to the other objects, it will accelerate faster than the other options.

b) A cylinder rolling down the same ramp without slipping:
Similar to the ball, a cylinder's shape and mass distribution are spread along its length. When it rolls down the ramp without slipping, the cylinder also experiences acceleration caused by the force of gravity. However, the moment of inertia of a cylinder is larger than that of a solid ball, resulting in a slower acceleration compared to the ball.

c) A block sliding down a frictionless ramp:
In this scenario, a block is sliding down a ramp without any friction. Since there is no rolling involved, the block's shape and distribution of mass do not play a significant role. The only force acting on the block is gravity, causing it to accelerate down the ramp. Therefore, the block will have a slower acceleration compared to both the ball and the cylinder.

Ranking from fastest to slowest:
1) The solid ball rolling down the ramp without slipping.
2) The cylinder rolling down the ramp without slipping.
3) The block sliding down the frictionless ramp.

To summarize the options you selected:
- The ball is fastest (correct).
- The cylinder is fastest (incorrect, the ball is faster).
- The ball is slowest (incorrect, the block is slower).
- The block is slowest (correct).
- The cylinder is slowest (incorrect, the block is slower).
- The block is fastest (incorrect, the ball and cylinder are faster).