Question

The following information applies to the next three questions (questions 9, 10, and 11) An Olympic hammer thrower whirls a hammer and chain so as to form a conical pendulum as shown to the right. The chain makes an angle 0 of 85.0° with respect to the vertical, and the tension in the chain is 816 N. 9. What is the mass of the hammer (the object at the end of the chain)? (A) 6.48 kg (B) 6.88 kg (C) 7.26 kg (D) 7.77 kg (E) 8.24 kg 10. What is the magnitude of the acceleration of the hammer? (A) 69.2 m/s (B) 77.4 m/s? (C) 83.7 m/s (D) 97.3 m/s2 (E) 112 m/s 11. If the mass of the hammer is increased, but the length of the chain and angle 0 remain fixed, which of the following quantities will increase? the tension in the chain (A) (B) the acceleration of the hammer (C) the speed of the hammer (D) the angular speed of the hammer none of the above (E)

how would I do 9 10 and 11 thanks for the help!

Answer 1

>I sing - - (9) T coso = mg - 0 - T coso .816 x Cos 85' 9.8 = 7.26 kg contripetal acceleration (lo) Teine -m ac - ③ > sin ss a = Tsino = 8168 m = 7. 26 112 m/s² (1) (A) the lensions in string will increase if m is increased as ber equation (1) from es. @ and es. . a = lano ac=g tano = constant as ac = V2 = v= constant. w = = caust.

11 (A)