1 (a)
| 0=24.5−9.8tt=9.824.5=2.5 seconds | (3 marks)
|
1 (b)
| 02=24.52+2 (−9.8) ss=24.522 9.8=30.625 mORs=21(24.5+0) 2.5=30.625 m | (3 marks)
|
1 (c)
| 61.25 m
| (1 marks)
|
|
| (7 marks)
|
2 (a)
|
| (1 marks)
|
2 (b)
| T = 4900 N
| (1 marks)
|
2 (c)
| T−4900=500 0.6T=300+4900=5200 N | (3 mark)
|
2 (d)
| 4800−4900=500aa=500−100=−0.2 ms-20.2 ms−2downwards | (4 mark)
|
|
| (9 marks)
|
3 (a)
| R=5 9.8cos42 =36.4 N
| (2 mark)
|
3 (b)
| F=0.4R=14.6 N
| (2 marks)
|
3 (c)
| 5 9.8sin42 −14.6=5aa=518.22=3.64 ms-2 | (3 marks)
|
3 (d)
| 2=21 3.64t2t= 43.64=1.05 seconds | (3 marks)
|
|
| (10 marks)
|
4 (a)
| Qcos40 =8 9.8sin40 Q=cos40 8 9.8sin40 =65.8 N | (3 mark)
|
4 (b)
| Qcos40 +F=8 9.8sin40 Qsin40 +8 9.8cos40 =RQcos40 =8 9.8sin40 −0.3(Qsin40 +8 9.8cos40 )Q=cos40 +0 sin40 8 9.8sin40 −0 . 8 9.8cos40 =33.8 N | (5 marks)
|
|
| (8 marks)
|
5 (a)
| v=(i+j)+(0.05i−0.1j)t
| (2 marks)
|
5 (b)
| −(1+0.05t)=1−0.1t0.05t=2t=40 | (4 marks)
|
|
| (6 marks)
|