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  4. Chapter 4 Motion in two and three dimensions
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Answers to Chapter 4 Problems

 

4.2.1   4.83 m at 8.0° E of N.

4.2.2   (a) 10.0 at 23.1° to the x-axis   (b) 10.0 at 83.1° to the x-axis.

 

4.3.1   95.2 m s−1 at 20.9° E of N;   591.6 m at 13.3° E of N

4.3.2  (a) 19.6 m   (b) 31.8 m s−1 at 38.1° to the horizontal.

4.4.1   30.4° E of S;   7.0 m s−2

4.4.2   71.5 m s−2 at 11.3° with respect to the direction of 100 N force.

4.5.1   (a) 25 m s−2   (b) 19.6 N upwards   (c) 23.5 m s−2   (d) 36.7 N upwards

4.5.2   1.2 m s−2;   560 N; 1.2 m s−2 ;   616 N

4.6.1   (a) 0.003125 m s−2   (b) 0.1875 N (opposite direction to the motion) (c) 0.000319

4.6.2   (a) 19.6 N   (b) 20.30 N

4.6.3  

4.6.4   (a) 2,450 N   (b) 4.9 m s−2   (c) 4.9 m s−2   (d) 91.8 m   (e) acceleration a = Î¼Sg, independent of M. Answers (c) and (d) depend only on a which does not depend on M.

4.6.5   3.25m s−2;   5.9 N

4.8.1   (a) 0.162   (b) 7.2 cm

4.8.2     (a) 32°   (b) 25.8 m s−1

4.8.3   (a) 539.4 N (highest point);   930.6 N (lowest point)   (b) 5.7 s;   1,470 N

4.8.4   16.2 m s− 2

4.8.5   8.3 × 10− 8 N

4.8.6   2.7 rad s−1

4.8.7   (a) 4.6 × 10 âˆ’ 16 N   (b) 1.4 × 105 g   (c) 20.5 kN

4.9.1   (a) 15 m s− 2   (b) 188.5 m s− 2   (c) 189.1 m s− 2 at 4.5° to the radius

4.10.1 

4.10.2   (a) 2.0 s   (b) 0.27 m s−1   (c) 0.075 m s−1 (d) 4.88 N (e) 4.94 N

4.10.3   (a) 4.88 N   (b) 4.94 N, compared with 4.90 N when hanging in equilibrium.

4.11.1

4.11.2

4.11.3   − 4i&²Ô²ú²õ±è;−&²Ô²ú²õ±è;j + 2k

4.11.4

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