Answers for Problem Set 10

Chapter 10

v_V2 = 2 V_J + v_V1 = 38 km / sec (in the opposite direction, of course)

55. The maximum compression of the spring is 25 cm.

67.

(a) A moves at 117^o from the final direction of B [theta = 27^o].

(b) No

68. Proof.

Chapter 11

7.

alpha = 4 a t³ - 3 b t²

omega = omega₀ + a t⁴ - b t ³

theta = 0 + omega₀ t + (1/5) a t ⁵ - (1/4) b t⁴

19.

(a) t₀ = 13.5 sec

(b) omega₀ = 27.0 rad/sec

44.

(a) alpha = - (2 pi T₁) / T₀² = -2.30 x 10 ^-9 /s²
(b) t_f = - omega₀ / alpha = 2.62 x 10³ yr
(c) omega_i = 259 / s

59. From the table of moments of inertia, I = (1/2) M R ²

(a) 49 MJ

(b) 100 min