(i) A particle P of mass 1.2 kg is released from rest at the top of a slope and starts to move. The slope has length 4 m and is inclined at 25° to the horizontal. The coefficient of friction between P and the slope is \(\frac{1}{4}\). Find

1. the frictional component of the contact force on P,
2. the acceleration of P,
3. the speed with which P reaches the bottom of the slope.

(ii) After reaching the bottom of the slope, P moves freely under gravity and subsequently hits a horizontal floor which is 3 m below the bottom of the slope.

1. Find the loss in gravitational potential energy of P during its motion from the bottom of the slope until it hits the floor.
2. Find the speed with which P hits the floor.