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原题.如图1(甲),空间存在一范围足够大的垂直于xOy平面向外的匀强磁场,磁感应强度为B,让质量为m,电荷量为q(q>0)的粒子从坐标原点O沿xOy平面以不同的初速度大小和方向入射到该磁场中.不计重力和粒子间的影响.(1)若粒子以初速度v1沿y轴正向入射,恰好能经过x轴上的A(a,0)点,求v1的大小;(2)已知一粒子的初速度大小为v(v>v1),为使该粒子能经过A(a,0)点,其入射角θ(粒子初速度与x轴正向的夹角)有几个?并求出对应的sinθ值;
As shown in Figure 1 (a), there is a well-defined uniform magnetic field perpendicular to the xOy plane in space. The magnetic flux density is B, so that particles with mass m and charge q (q> 0) The coordinate origin O is incident on the magnetic field at different initial velocity magnitudes and directions along the xOy plane. Excluding the effects of gravity and particles, (1) If the particles are incident in the positive y-axis at the initial velocity v1, they just pass through the x-axis (2) Knowing the initial velocity of a particle is v (v> v1). For the particle to pass A (a, 0), its incident angle θ (the initial velocity of the particle and the x-axis positive angle), and find the corresponding sin θ value;