ON 1: KINEMATICS A ship that can cruise at \( 48 \mathrm{~km} / \mathrm{h} \) in still waters sets course due south-west. It is driven off course by a current flowing West \( 26^{\circ} \) North at a velocity of \( 8 \mathrm{~km} / \mathrm{h} \). Calculate the following: \( 1.1 .1 \quad \) The resultant velocity in magnitude and direction \( 1.2 \quad \) The distance the ship will cruise in 5 hours

3.1 A truck with a mass of 1 ton is moving at \( 80 \mathrm{~km} / \mathrm{h} \) on a horizontal plane and braked to rest over 40 m . Calculate the following: 3.1.1 The deceleration 3.1.2 The braking force

A 63 kg student is on a 15 m diameter Ferris wheel rotating at a constant rate with a period of 18 s . What force does the seat exert on the student at the bottom of the circle?

A car with a mass of 800 kg accelerates uniformly from rest to \( 100 \mathrm{~km} / \mathrm{h} \) for 8 seconds up an incline that makes an angle of \( 30^{\circ} \) with the horizontal. The frictional resistance is 280 N . Calculate: 3.2.1 The work done against the frictional force when the velocity reaches \( 100 \mathrm{~km} / \mathrm{h} \) \( \begin{array}{l}\text { The work done against the gravitational component parallel to } \\ \text { 3.2.2 the plane }\end{array} \)

QUESTION 5: HYDRAULICS 5.1 The data below refer to a single-acting hydraulic press. Diameter of the ram piston \( \quad=450 \mathrm{~mm} \) Diameter of the plunger piston \( \quad=100 \mathrm{~mm} \) Stroke length of the plunger \( =120 \mathrm{~mm} \) Mechanical advantage of the plunger \( =20 \)

9. A 0.13 kg puck is moving in a circular path on a horizontal air table where friction is negligible. The centripetal force is provided by a cord 0.68 m long attached in the centre of the air table. If the tension in the cord is 2.5 N , what is the speed of the puck?