Answers to Chapter 6 problems

6.1.1 (b) 0.463 m s⁻²; 9.72 m s⁻²

6.1.1 Solution

6.1.2 (a) (both blocks) 0.98 m s⁻² (b) 25.5 N (c) 17.6 N; − 1.23 m s⁻² (motion reverses)

6.1.2 Solution

6.1.3 (a) 4.0 m s⁻² (b) 48 N; 80 N

6.1.3 Solution

6.1.4 gsinq − ⁷⁄₄gmcosq; ³⁄₄gmcosq;

6.1.4 Solution

6.1.5 0.1 m s⁻²; 3,000 N and 1,000 N ; 3,000 N and 5,000 N

6.1.5 Solution

6.1.6 0.29; 1.1 m s⁻²; 51 N

6.1.6 Solution

6.1.7 524 N; 566 N; 186 N

6.1.7 Solution

6.1.8 2.1 m s⁻²; 0.37 N

6.1.8 Solution

6.4.1 2.35 × 10⁻²² kg m s⁻¹ at 159.3° to the direction of the electron; 6.91 × 10⁻¹⁹ J

6.4.1 Solution

6.5.1 (a) +8.72 m s⁻¹ (1200 kg car); −5.26 m s⁻¹ (1000 kg car) (b) (i) 2.36 m s⁻¹ (ii) 53,473

6.5.1 Solution

6.5.2 (a) 1.023 × 10⁻¹⁴ J (b) 2.961 × 10⁶ m s⁻¹ ; 7.320 × 10⁻¹⁵ J (c) 7 collisions

6.5.2 Solution

6.5.3 Taking the direction of the incoming ball to be the x-axis, the two previously stationary balls both move at 3.46 m s⁻¹, one 30° above the x-axis, the other 30° below. The incoming ball bounces back at 0.99 m s⁻¹ in the minus x direction.

6.5.3 Solution

6.5.4 2.16 m s⁻¹ (360 g glider) and 0.48 m s⁻¹ (180 g glider)

6.5.4 Solution

6.5.5 304 m s⁻¹

6.5.5 Solution

6.5.6 62.3°; 7.33 × 10⁻¹⁴ J (proton) and 1.17 × 10⁻¹⁴ J (He nucleus)

6.5.6 Solution

6.5.7

6.5.7 Solution

6.5.8 1.26 J

6.5.8 Solution

6.6.1 (a) 0.30 m (b) 2.25 m s⁻¹

6.6.1 Solution

6.6.2 \( \sqrt{GM \over d^3} \)

6.6.2 Solution

6.6.3 (a) 0.721v at 33.69° N of W (b) Before collision: 0.566v (3m particle); 0.848v (2m particle); After collision: 0.346v (4m particle); 1.385v (m particle) (c) 180°