Ahollow cylinder, given some initial velocity, rolls up an incline to a height of 1.0 m without slipping. if a hollow sphere of the same mass and radius is given the same initial velocity, how high does it roll up the incline?

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

higher potential

explanation:

because it is in a high speed so it must move into a of high potential