杭电 1155 Bungee Jumping(物理题)
Problem Description
Unfortunately, he had not had
enough time to calculate whether the bungee rope has the right length, so it is
not clear at all what is going to happen when he jumps off the bridge. There are
three possible scenarios:
The rope is too short (or too strong), and James
Bond will never reach the ground.
The rope is too long (or too weak), and
James Bond will be going too fast when he touches the ground. Even for a special
agent, this can be very dangerous. You may assume that if he collides at a speed
of more than 10 m/s, he will not survive the impact.
The rope's length and
strength are good. James Bond touches the ground at a comfortable speed and can
escape.
As his employer, you would like to know whether James Bond survives
or whether you should place a job ad for the soon-to-be vacant position in the
local newspaper. Your physicists claim that:
The force with which James is
pulled towards the earth is
9.81 * w,
where w is his weight in kilograms
and 9.81 is the Earth acceleration in meters over squared seconds.
Mr. Bond
falls freely until the rope tautens. Then the force with which the bungee rope
pulls him back into the sky depends on the current length of the rope and is
k * Δl,
where Δl is the difference between the rope's current length and
its nominal, unexpanded length, and k is a rope-specific constant.
Given the
rope's strength k, the nominal length of the rope l in meters, the height of the
bridge s in meters, and James Bond's body weight w, you have to determine what
is going to happen to our hero. For all your calculations, you may assume that
James Bond is a point at the end of the rope and the rope has no mass. You may
further assume that k, l, s, and w are non-negative and that s <
200.
The input contains several test cases, one test case per line. Each
test case consists of four floating-point numbers (k, l, s, and w) that describe
the situation. Depending on what is going to happen, your program must print
"Stuck in the air.", "Killed by the impact.", or "James Bond survives.". Input
is terminated by a line containing four 0s, this line should not be processed.
Sample Input
Sample Output
/*
k 绳子劲度系数
l 绳长
s 桥的高度
w 体重
*/
#include<cstdio>
#define g 9.81
int main()
{
double k,l,s,w;
double Eg,Ek,Ev;
while(scanf("%lf %lf %lf %lf",&k,&l,&s,&w)&&(k+l+s+w))
{
Eg=w*g*s;
Ev=*w/;
Ek=k*(s-l)*(s-l)/;
if(l >= s)
{
if(Eg <= Ev)
printf("James Bond survives.\n");
else
printf("Killed by the impact.\n");
}
else
{
if(Eg < Ek)
printf("Stuck in the air.\n");
else if(Eg-Ek <= Ev)
printf("James Bond survives.\n");
else
printf("Killed by the impact.\n");
} } }
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