[填空题]
In a tricks competition, a snooker ball of radius 2.5 cm is hit horizy 3f;bgz40yleont d8h9oe36n tkfally with a cue and rolls without slipping and then rolls up a slope. The mass o8fhk tn6e3 9odf the ball is 0.16 kg and the moment of inertia of the snooker ball is $frac{2}{5}mr^2$.
1.The average acceleration of the ball during the strike is 150 $ms^{−2}$. Show that the average net torque applied on the ball during the strike is around 0.024 Nm. $τ$ = $\times10^{-2}\,Nm$
2.The contact time of the cue to the ball is 2.5 ms. Show the total kinetic energy of the ball after 2.5 ms is approximately $1.6\times10^{−2}\,J$. $E_k$ = $\times10^{-2}\,J$
3.(1)When the cue stops applying force on the ball, the ball starts to roll up an incline placed in front of the ball. Calculate the maximum vertical height reached by the ball. Ignore friction and air resistance. $h$ = $\times10^{-1}\,m$
(2)The angle of the incline is $25^{\circ}C$ to the horizontal. What is the minimum coefficient of static friction between the surface and the ball for it to roll down the incline without slipping? $μ$ =
