1) An automobile jack has an effort arm of 45cm. the resistance of the arm is 6cm. What is the mechanical advantage of the jack? 2) A force of 35N is used to push a suitcase a distance of 9 meters across the floor. How much work is being done?

3) A set of pulleys is used to lift a boat weighing 1765N. The boat is lifted 4 meters in 45 seconds. How much power is required?

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

You deposit $5000 each year into an account earning 3% interest compounded annually. how much will you have in the account in 30 years?

Aconstruction worker has rope 9 m long he needs to cut it in pieces that are each 3 /5 m long how many such pieces can he cut without having any rope leftover?