In a nuclear reaction, a moving projectile strikes a stationary target. If the total kinetic energy of the resulting products is measured to be strictly less than the initial kinetic energy of the incident projectile, which of the following statements must be true regarding the reaction?

Step-by-step solution

From the conservation of total energy in a nuclear reaction, the total kinetic energy of the products ( K_ prod ) is related to the initial kinetic energy of the projectile ( K_p ) and the Q -value of the reaction by: K_ prod = K_p + Q We are given that K_ prod K_p + Q A negative Q -value indicates that the reaction absorbs energy, meaning it is an endothermic reaction. The Q -value is also defined in terms of rest masses as: Q = (m_ reactants - m_ products )c^2 Since Q Answer: The reaction is endothermic and the t