When resistors are placed in series, the voltage across one resistor is (more/less/the same) than the voltage of the battery and the current through the circuit is (more/less/the same) than the current through a simple circuit. Therefore, the overall resistance of a circuit where resistors are placed in series is (higher/lower/the same) than the overall resistance of a simple circuit. When resistors are placed in parallel, the voltage across one resistor is (more/less/the same) than the voltage of the battery and the current going through the battery is (more/less/the same) than the current through a simple circuit. Therefore, the overall resistance of a circuit where resistors are placed in parallel is (higher/lower/the same) than the overall resistance of a simple circuit.

Amass m = 74 kg slides on a frictionless track that has a drop, followed by a loop-the-loop with radius r = 18.4 m and finally a flat straight section at the same height as the center of the loop (18.4 m off the ground). since the mass would not make it around the loop if released from the height of the top of the loop (do you know why? ) it must be released above the top of the loop-the-loop height. (assume the mass never leaves the smooth track at any point on its path.) 1. what is the minimum speed the block must have at the top of the loop to make it around the loop-the-loop without leaving the track? 2. what height above the ground must the mass begin to make it around the loop-the-loop? 3. if the mass has just enough speed to make it around the loop without leaving the track, what will its speed be at the bottom of the loop? 4. if the mass has just enough speed to make it around the loop without leaving the track, what is its speed at the final flat level (18.4 m off the ground)? 5. now a spring with spring constant k = 15600 n/m is used on the final flat surface to stop the mass. how far does the spring compress?