Assume that according to the official rules of an international sport, a ball acceptable for tournament play must bounce to a height of between 175 and 185 cm when dropped from a height of 254 cm at room temperature. what is the acceptable range of values for the coefficient of restitution for the ball-floor system?

0.829 to 0.853

Explanation:

Given

height through ball is dropped

velocity at just before collision is

if the now if the ball rises to a height of 175 cm , velocity after collision to reach at that height is

if the ball rises to an height of 185 cm then velocity after collision

value of e for

e for 185 cm

Range of e is 0.829 to 0.853

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards