hdu 5066 Harry And Physical Teacher（物理）

最新推荐文章于 2020-02-04 22:36:43 发布

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本文描述了一个关于小球与汽车发生完全弹性碰撞的问题，通过动量守恒和动能定理求解小球碰撞后的速度。提供了C++实现代码。

Harry And Physical Teacher

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 628 Accepted Submission(s): 339

Problem Description

As we all know, Harry Porter learns magic at Hogwarts School. However, learning magical knowledge alone is insufficient to become a great magician. Sometimes, Harry also has to gain knowledge from other certain subjects, such as language, mathematics, English, and even algorithm.
Today, Harry's physical teacher set him a difficult problem: if a small ball moving with a speed

V0 made a completely elastic collision with a car moving towards the same direction with a speed

V(V<V0), and the car far outweighs the ball, what was the speed of the small ball after the collision?
This problem was so difficult that Harry hasn't figure out how to solve it. Therefore, he asks you for help. Could you do him this favor?

Input

They are several test cases, you should process to the end of file.
There are two integers

V and

V0 for each test case. All the integers are 32-bit signed non-negative integers.

Output

For each test case, just output one line that contains an integer indicate the speed of the small ball after the collision.

Sample Input

0 10

Sample Output

-10

题意：一个速度为v0的小球和一个速度为v的汽车在同一个方向上运动，小球在车后面，车的质量远远大于小球，两者之间碰撞时完全弹性碰撞，问小球撞完后的速度是多少

思路：联立动能定理和动量守恒定理可以得到v=2*v1-v0

代码：

#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cstring>
#include <cmath>
using namespace std;

int main()
{
    long long n,m;
    while(~scanf("%lld %lld",&n,&m))
    {
        if(n>m) swap(n,m);
        printf("%lld\n",2*n-m);
    }
    return 0;
}