Final answer:
In a collision between two objects, momentum is conserved if no external forces are acting on the system. To find the final velocity of bumper car 1, we can use the equation p1i + p2i = p1f + p2f. Given the masses and velocities of the two cars, we can calculate the initial momentum and use it to find the final velocity of bumper car 1.
Step-by-step explanation:
In a collision between two objects, momentum is conserved if no external forces are acting on the system. Momentum is given by the equation p = mv, where p is the momentum, m is the mass, and v is the velocity. To find the final velocity of bumper car 1, we can use the equation p1i + p2i = p1f + p2f, where pi represents the initial momentum and pf represents the final momentum.
Given the masses and velocities of the two cars, we can calculate the initial momentum and use it to find the final velocity of bumper car 1. Using the equation p = mv, we find that the initial momentum of bumper car 1 is 1.5 m/s * 110.0 kg = 165 kg*m/s, and the initial momentum of bumper car 2 is -2.0 m/s * 170.0 kg = -340 kg*m/s.
Substituting these values into the equation p1i + p2i = p1f + p2f, we get 165 kg*m/s + (-340 kg*m/s) = 110.0 kg * (-2.75 m/s) + 170.0 kg * vf, where vf is the final velocity of bumper car 2. Solving for vf, we find vf = -3.75 m/s.