waecE-LEARNING
Home
Technical
Mathematics
Languages
Science
Social Science
Art
Literature Arabic Islamic Studies C.R.K HistoryMusicVisual Art Clothing/Textile Home Management Shorthand
 
Further Mathematics Paper 2, Nov/Dec. 2013  
Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Main
General Comments
Weakness/Remedies
Strength
Question 17

(a)        A lorry of mass 1200 kg was kept in motion by a force of 120N. If the lorry was initially at              rest, calculate the distance covered in 6 seconds.

(b)        An object weighing 30N is kept in equilibrium by two strings inclined at 30o and 60° to the              horizontal. Find the tensions in the strings.

 

_____________________________________________________________________________________________________
Observation

Candidates’ performance was also reported to be poor in this question. They were reported not to have applied the correct formulae in part (a) and were also unable to resolve the forces in the part (b) correctly.

In part (a), candidates were expected to recall that Force = mass x acceleration i.e. F = ma. Therefore
a =   =  =   0.1ms-2.  Using the formula s = ut + ½ at2, where u = 0, a = 0.1 and t = 6,                  S = 0 + ½ (0.1)62  = 1.8m.

In part (b), candidates were expected to represent the given information in a diagram as shown:
                              T2                                                   T1

                                       30 °                     60°
                                       -------------------

                                                    30N

Resolving the forces horizontally gave T2 Cos 30o = T1Cos60o. This implied that T2  =  .... (equation 1). Resolving the forces vertically gave T1Sin60 + T2 Sin 30° =  30N........... (equation 2). From (`equation 1),T2 cos 30° = T1 cos 60° i.e.    T2 =  .   This implied that T1 =  T2. substituting  T2 for T1 in equation 2 gave ( T2 ×  ) +   = 30 i.e. 2T2 = 30.  Therefore T2 =   = 15.00N. T1 =  × 15.00 = 25.98 N.

Powered by Sidmach Technologies(Nigeria) Limited .
Copyright © 2015 The West African Examinations Council. All rights reserved.