A population of rabbits inhabits an island that has an active volcano. The volcano erupted and covered the island destroying most of the food resources available for animals living in the area. As the island recovers, the soil no longer allows for these food resources to grow. How will this most likely affect the rabbit population on the island?

There will be fewer predators that eat the rabbits, so the rabbit population will quickly grow.
Other animals will eat less food, so the rabbit population will remain stable.
The rabbits will adapt to eating very little food, so the population will increase slowly over time.
Few rabbits will be able to find food, so the population will die off and become extinct.

An athlete is holding 24 lb of weights at a height of 6 inches above the stack as shown. to lower the weights, she applies a constant force of 5 lb to the handle. determine the velocity of the weights immediately before they hit the stack.

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?

Asemipermeable membrane is placed between the following solutions. which solution will decrease in volume? solution a: 1.4% (m/v) starch solution b: 7.62% (m/v) starch