two question運動力學 20分

2015-04-05 5:57 pm
two question運動力學

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更新1:

2(a) answer should be -4850 m/s^2 4(a) 30 degrees = 30.pi/180 radians = pi/6 radians Time between each frame = 1/25 s 每30度兩個 fram 每秒25 個fram 一個fram 用 0.04 s Angular velocity = change in angular displacement / change in time Angular velocity = (pi/6)/(0.08) rad/s 對嗎?

回答 (1)

2015-04-05 6:46 pm
✔ 最佳答案
2(a) Acceleration = (-52-45)/0.02 m/s^2 = 4850 m/s^2
(b) Applied force = 0.145 x 4850 N = 703 N
(c) Impulse = change of momentum = 0.145 x (-52-45) N.s = 14.07 N.s
(d) Change of momentum = 14.07 kg.m/s
(e) Impulse equals to cahnge of momentum, i.e. an applied impulse leads to a change of momentum of an object.

4(a) 30 degrees = 30.pi/180 radians = pi/6 radians
Time between each frame = 1/25 s
Angular velocity = (pi/6)/(1/25) rad/s = pi x 25/6 rad/s = 13.09 rad/s

(b) Linear velocity = 0.85 x 13.09 m/s = 11.13 m/s

(c) Angular momentum = 2.5 x 13.09 kg.m^2/s = 32.73 kg.m^2/s

(d) A longer golf clube has a larger moment of inertia and hence gives a larger angular momentum. Hence, the momentum transfer to the golf ball is higher and the ball will go faster.


2015-04-06 01:13:19 補充:
2(a) The -ve sign only indicates the direction.

2015-04-06 01:16:42 補充:
4(a) The time lapsed between successive frames is 1/25 s = 0.04 s
The club swings pi/6 radians in 0.04 s
Angular speed = (pi/6)/0.04 rad/s


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