91影视

The given data can be listed below as,

• Momentum of car 1, $p_1$
• Momentum of car 2, $p_2$
• Initial momentum, ${\stackrel{鈫�}{p}}_i$
• Final momentum, ${\stackrel{鈫�}{p}}_f$
• Car 1鈥檚 deflection,30掳
• Car 2鈥檚 deflection,60掳

The space diagram is as follows:

The distance between centres perpendicular to the incoming velocity is calledthe 鈥渋mpact parameter鈥� and is often denoted byb.

A head-on collision has an impact parameter of zero.The smaller the impact parameter, the more severe is the collision, and thelarger the deflection angle of the incoming particle (larger 鈥渟cattering鈥�), exceptfor a head-on collision, where if the masses are equal the incoming ball stopsdead and the target ball gets the entire momentum.

The net force on the system is zero, then the momentum of the system must be conserved:

${\stackrel{鈫�}{p}}_i={\stackrel{鈫�}{p}}_f$

Applying the momentum conservation inx direction:

$p_{2,i}=p_f\cos \left(60\right)$鈥︹�︹��. first equation

Applying the momentum conservation iny direction:

$p_{1,i}=p_f\sin \left(60\right)$鈥︹�︹��...second equation

By dividing the second equation by the first equation:

$\frac{p_{1,i}}{p_{2,i}}=\frac{p_f\sin \left(60\right)}{p_f\cos \left(60\right)}=\tan \left(60\right)$

tan (60) = 鈭�3

So,

$p_{1,i}=\sqrt{3}{p}_{2,i}$.

Hence, car 1鈥檚 momentum was $\sqrt{3}$times greater than the momentum of car 2.