Answer:
the kinetic energy of the particle is 3.872 x 10⁻¹³ J
Explanation:
Given;
mass of helium, m = 6.64 x 10⁻²⁷ kg
speed of light, c = 3 x 10⁸ m/s
3.6% of speed of light, c = 0.036 x 3 x 10⁸ m/s = 1.08 x 10⁷ m/s
The kinetic energy of the particle is calculated as;
K.E = ¹/₂mc²
K.E = ¹/₂ x (6.64 x 10⁻²⁷) x (1.08 x 10⁷)²
K.E = 3.872 x 10⁻¹³ J
Therefore, the kinetic energy of the particle is 3.872 x 10⁻¹³ J