is $4$ to $197).$ If a helium nucleus scatters to an angle of $126$ during an elastic collision with a gold nucleus, calculate the helium nucleus's final speed.

$1\mathrm{.}46{10}^7\frac{m}{s}$

iCorrecto!

Su recibo es Tonterion Anterion

Calculate the mannitude of final velocity of the gold nucleus.

Enviar Respuesta

Tries $55/99$ Intentos Anteriores

Calculate the direction of final velocity of the gold nucleus. Measure the angle from the initial direction of the helium nucleus.

$-26\mathrm{.}8$ deg

iCorrecto! $(2)$ Intentos Anteriores Su recibo es $(2)$

What is the final kinetic energy of the helium nucleus?

$7\mathrm{.}13{10}^{-13}J$

iCorrecto!

Su recibo es In $=(3)$ Intentos Anteriores Ernest Rutherford $($the first New Zealander to be awarded the Nobel Prize in Chemistry$)$ demonstrated that nuclei were very small and dense by scattering helium$-4$ nuclei $(4$He$)$ from gold$-197$ nuclei $(197$Au$).$ The energy of the incoming helium nucleus was $7\mathrm{.}30\backslash$times $10-13$ J$,$ and the masses of the helium and gold nuclei were $6\mathrm{.}68\backslash$times $10-27$ kg and $3\mathrm{.}29\backslash$times $10-25$ kg$,$ respectively $($note that their mass ratio is $4$ to $197).$ If a helium nucleus scatters to an angle of $126\backslash$deg during an elastic collision with a gold nucleus, calculate the helium nucleus$$s final speed.

Calculate the magnitude of final velocity of the gold nucleus.

Calculate the direction of final velocity of the gold nucleus. Measure the angle from the initial direction of the helium nucleus.

What is the final kinetic energy of the helium nucleus?