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1引言受到与速度成正比的作用力,比如空气阻力、安培力、洛伦兹力等,物体的运动将呈现非均匀变化的情况,那么是不是就完全不能在初等数学的范围内求解一些物理量了呢?这里我们就一个例子来理清一般的方法.2例题赏析例题.不计重力的带电粒子进入介质中,受到的阻力跟它的速度成正比.在粒子完全停止前,所通过的路程为s1=10cm,如果在介质中有一个跟粒子速度方向垂直的磁场,当粒子以跟原来相同的初速度进入这一带有磁场的介质时,它则停止在距入射点的距离为s2=6cm的位置上,如果磁场强度减少1/2,那么该粒子应停留在离开入射点多远(s3)的位置上?
1 Introduction When subjected to forces that are proportional to speed, such as air resistance, Ampere force, Lorentz force, etc., the movement of an object will show a non-uniform change, then is it not possible to solve some physical quantities within the scope of elementary mathematics? Here, we have an example to clarify the general method. 2 examples Appreciating example problems. Non-gravity charged particles into the medium, the resistance is proportional to its speed. Before the particles completely stop, the path is S1=10cm. If there is a magnetic field perpendicular to the direction of particle velocity in the medium, when the particle enters this medium with a magnetic field at the same initial velocity as the original, it stops at a distance of s2=6cm from the incident point. Positionally, if the magnetic field intensity is reduced by 1/2, then the particle should stay at a position far from the point of incidence (s3)?