@al2006 ! 1there is a new brand of water on the market that has been proven to relieve headaches. it is selling like crazy! when the food and drug administration asked for scientific proof that the water actually does what it claims to do, the owners of the company produced a scientific research study that they had paid a group of scientists to perform. in the study researchers gave this special water to a group of 50 people who claimed to have a headache. the people drank the special water whenever they felt thirsty over a period of 24 hours. after the 24 hours, 99% of the people reported that their headache was gone. should the food and drug administration trust this scientific study and allow the company to sell the water with this claim? would this be an example of science or pseudoscience? support your answer with at least three reasons.

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?

If the area of a square has increased by a factor of 16, by how much has each side increased?

On mars a rock falls an unknown vertical distance from a resting position and lands in a crater. if it takes the rock 2.5 seconds to fall, how high is the cliff the rock fell from? mars' surface gravity is 3.8 m/s2. a. 9.5 m b. 11.9 m c. 15.2 m d. 23.8 m