Aisha used a compass to walk 59° south of west for 3.50 miles, then stopped for lunch. Assume that the point from which she started her hike corresponds to the origin of the coordinate system. (a) Find the polar coordinates corresponding to the place where Aisha stopped for lunch. (Enter your answer for r in miles and counterclockwise from the +x-axis. Round your answers to at least th ree significant figures. as the smallest positive angle in degrees r =26
The radial polar coordinate does not coincide with x. mi =
(b) Find the Cartesian coordinates (in miles) for the same point.
x = 2.6
Use the relations between polar and Cartesian coordinates to find the coordinate x. mi
y = 4.24
Use the relations between polar and Cartesian coordinates to find the coordinate y. mi

When you drop a pebble from height a it reaches the ground with speed v if there is no air resistance. from what height should you drop it so it will reach the ground with three times the speed? (a) 9m (b) 3m (c) 6m (d) 18m

How to calculate voltage drop in a series 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?