Maths Variations (2) - 10 POINT

2007-03-04 4:30 am
The resistance that a raft experiences when it travels in water varies directly as the cube of its speed .
(A) If the speed of the raft doubles, find the ratio of the new resistance to the original resistance .
(B) If the water reistance increase by 72.8%,what is the percentage increase in the speed of the raft?

reference ans: 8:1
20%

回答 (1)

2007-03-04 4:55 am
✔ 最佳答案
R α v³

(A)
v' : v = 2 : 1
R' : R = 2³ : 1³ = 8 : 1

(B)
(R' - R)/ R = 72.8%
R' / R = 1.728 = 1.2³
v' / v = 1.2
% increase in speed = (v' - v) / v = 20%


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