The velocity v of a non‑relativistic particle can be expressed in terms of combinations ofthe following quantities: kinetic energy Ek , momentum p and mass m.Which of the following expressions is correct?A v = pm2B v = 2EmkC v = Epk2D v = 2 kEpm(Total for Question 2 = 1 mark)
Question
The velocity v of a non‑relativistic particle can be expressed in terms of combinations ofthe following quantities: kinetic energy Ek , momentum p and mass m.Which of the following expressions is correct?A v = pm2B v = 2EmkC v = Epk2D v = 2 kEpm(Total for Question 2 = 1 mark)
Solution
The correct expression for the velocity v of a non-relativistic particle in terms of kinetic energy (Ek), momentum (p), and mass (m) is derived from the equations for kinetic energy and momentum.
The kinetic energy (Ek) of a particle is given by the equation Ek = 1/2 * m * v^2.
The momentum (p) of a particle is given by the equation p = m * v.
We can express velocity in terms of kinetic energy and mass by rearranging the kinetic energy equation to solve for v: v = sqrt(2*Ek/m).
Therefore, none of the given options A, B, C, or D is correct. The correct expression for velocity in terms of kinetic energy and mass is v = sqrt(2*Ek/m).
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