polonium(212) alpha particle have kinetic energy of 8.776 MeV. assuming the mass of the alpha particle to be 6.67*10^-27 kg, calculate their velocities?
reply some one please
i think k.E= 1/2 mv2
AM i right/?
I need this answer
To calculate the velocity of the alpha particles, we need to use the equation relating kinetic energy (KE) and velocity (v) of a particle:
KE = (1/2)mv^2
Given:
- Kinetic energy (KE) = 8.776 MeV = 8.776 × 10^6 eV (since 1 MeV = 10^6 eV)
- Mass (m) of the alpha particle = 6.67 × 10^-27 kg (given)
Now, let's convert the units of kinetic energy from electron-volts (eV) to joules (J), as the SI unit for mass is kilograms (kg) and the SI unit for energy is joules.
1 eV = 1.6 × 10^-19 J (conversion factor)
Therefore, 8.776 × 10^6 eV = 8.776 × 10^6 × 1.6 × 10^-19 J = 1.40416 × 10^-12 J
Now, we can rearrange the equation and solve for the velocity (v):
v = sqrt((2 × KE) / m)
Substituting the known values:
v = sqrt((2 × 1.40416 × 10^-12) / 6.67 × 10^-27)
Calculating this equation will give us the velocity of the alpha particles.