A roller-coaster car of mass 200 kg, with the engine switched off, travels alongtrack ABC which has a rough surface, as shown in the diagram below. At point A,which is 10 m above the ground, the speed of the car is 4 m·s-1. At point B, which is at a height h above the ground, … Read more
Ball P of mass 0,16 kg, moving east at a speed of 10 m∙s-1 , collides head-on with another ball Q of mass 0,2kg, moving west at a speed of 15 m∙s-1 . After the collision, ball P moves west at a speed of 5 m∙s-1, as shown in the diagram below. Ignore the effects … Read more
A small ball is dropped from a height of 2 m and bounces a few times after landing ona cement floor. Ignore air friction. The position-time graph below, not drawn to scale, represents the motion of the ball. 3.1 Define the term free fall. (2) 3.2 Use the graph and determine: 3.2.1 The time that … Read more
A 20 kg block, resting on a rough horizontal surface, is connected to blocks P and Q bya light inextensible string moving over a frictionless pulley. Blocks P and Q are gluedtogether and have a combined mass of m. A force of 35 N is now applied to the 20 kg block at an angle … Read more
1.1 The rate of change of momentum of an object is equal to the … A impulse on the object. B net force acting on the object. C product of the object’s mass and its change in velocity. D product of the net force acting on the object and its acceleration. (2) 1.2 The gravitational … Read more
Harry shoots arrows at a target board. He has a 50% chance of hitting the bull’s eye on each shot. 11.1 Calculate the probability that Harry will hit the bull’s eye in his first shot and his second shot. (2) 11.2 Calculate the probability that Harry will hit the bull’s eye at least twice in … Read more
In a certain country, 10-digit telephone numbers with the following format were introduced: Digits may be repeated. 10.1 How many possible 10-digit telephone numbers could be formed? 10.2 Certain restrictions were placed on the groups of digits: Area code: must be 3 digits and the first digit can NOT be 0 or 1 Exchange code: … Read more
A closed rectangular box has to be constructed as follows: Dimensions: length (f), width (w) and height (h). The length (l) of the base has to be 3 times its width (w). The volume has to be 5 m3. The material for the top and the bottom parts costs R15 per square metre and the … Read more
The graph of g (x) = ax3 + bx2+ cx, a cubic function having a y-intercept of 0, is drawn below. The x-coordinates of the turning points of g are -1 and 2. 8.1 For which values of x will g increase? (2) 8.2 Write down the x-coordinate of the point of inflection of g. (2) … Read more