Final answer:
The relation between the kinetic energies of two clowns launched from the same spring-loaded circus cannon depends on their masses and velocities.
Step-by-step explanation:
The relation between the kinetic energies of two clowns launched from the same spring-loaded circus cannon depends on their masses. The kinetic energy of an object is given by the equation KE = 1/2 * m * vЕ², where m is the mass of the object and v is its velocity.
Given that clown A has a mass of 40 kg and clown B has a mass of 60 kg, we can compare their kinetic energies using the equation:
KE(A) / KE(B) = (1/2 * 40 * v_A²) / (1/2 * 60 * v_B²)
Simplifying this equation, we get:
KE(A) / KE(B) = (40 * v_A²) / (60 * v_B²)
Therefore, the relation between their kinetic energies at the instant of launch depends on the velocities of the clowns, as well as their masses.