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Answers to Chapter 8 Problems

 

8.2.1   727 m   

8.2.2  (a)  249 m s–1 in the direction of the observer’s motion   

          (b)  471 m s–1 in the opposite direction to that of the observer’s motion   

          (c)  376 m s–1 in a direction that makes an angle of 107.2° with the direction of the observer’s motion  

          (d)  342.4 m s–1 perpendicular to the direction of the observer’s motion

8.2.3  2.64 m s–1;&²Ô²ú²õ±è;&²Ô²ú²õ±è;52.7º

8.2.4 

8.2.5  0.099 m s–2 

8.2.6  39.2 m s–1

8.2.7   119.7 km h–1 at 14.8° N of E

8.2.8   (i) 25 m s–1 and (ii) 330 m s–1

8.2.9   200 m;   3.0 minutes

8.2.10  21.6 km h–1&²Ô²ú²õ±è;at 56.4° N of E;  12 m 18 s;  6.67 km

8.3.1   v3m = 0.289u;  vm = –3v3m = –0.867u;  (a) 1.145u    (b) 0.480u at 34.22º to the direction of the incident particle 

8.3.2   3.43 m s–1;  –2.57 m s–1;  27 J;  15.4 J; 5.45 m s–1 at 28.8° to the incident direction of the 1.5 kg mass;  2.17 m s–1 at 65° to the incident direction of the 1.5 kg mass

8.4.1  (a) 13,600 s = 3 h 40 m    (b)  40.3º     (c)  19.2º

8.4.2  1.24 × 10–3 rad s–1;    22 h 25 m 33 s;    6.30 m s–2;    50° 

8.4.3   9.817 m s–2 at 5.8' to the vertical to the Earth's surface at Î»&²Ô²ú²õ±è;= 52°.

8.5.1

8.5.2  4.5 N eastwards 

8.5.3  1.35 cm eastwards

8.5.4  3.1 × 10–3 N;  (3.1 × 10–3 N m–2) per metre

8.7.1  m = 7.82 kg  and  a = 0.43 m s–2

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