$3.$ A small, light ball S and a large, heavy ball L move toward each other, collide, and

bounce apart.

$($a$)$ Compare the force that S exerts on L during the collision to the force that L exerts

on S $($i$.$e$.,$ is FLS larger, smaller, or equal to FSL$?)$

$($b$)$ Compare the time interval during which S experiences a force to the time interval

during which L experiences a force.

$($c$)$ Compare the impulse delivered to S to the impulse delivered to L$.$

$($d$)$ Compare the momentum change of S to the momentum change of L$.$

$($e$)$ Compare the velocity change of S to the velocity change of L$.$

$($f$)$ Is the change in the sum of the momenta of the two balls positive, negative, or

zero?