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
In the diagram, a circle passes through D, B and E. Diameter ED of the circle is produced to C and AC is a tangent to the circle at B. M is a point on DE such that AM DE. AM and chord BE intersect at F. 10.1 Prove, giving reasons, that: 10.1.1 FBDM … Read more
9.1 In the diagram, O is the centre of the circle. Points S, T and R lie on the circle. Chords ST, SR and TR are drawn in the circle. QS is a tangent to the circle at S. Use the diagram to prove the theorem which states that QST = R. (5) 9.2 Chord … Read more
8.1 O is the centre of the circle.. KOM bisects chord LN and MNO = 26° K and P are points on the circle with NKP = 32° . OP is drawn. 8.1.1 Determine, giving reasons, the size of: (a) Ô2 (2) (b) Ô1 (4) 8.1.2 Prove, giving reasons, that KN bisects OKP. (3) 8.2 … Read more
A landscape artist plans to plant flowers within two concentric circles around a vertical light pole PQ. R is a point on the inner circle and S is a point on the outer circle. R, Q and S lie in the same horizontal plane. RS is a pipe used for the irrigation system in the … Read more
6.1 In the diagram, P(—5 ; 12) and T lies on the positive x-axis. PÔT = 0 Answer the following without using a calculator: 6.1.1 Write down the value of tan0 (1) 6.1.2 Calculate the value of cos0 (3) 6.1.3 S(a, b) is a point in the third quadrant such that TÔS = 0 + … Read more