please calculate me 1, 2, 3, 4. Please write clearly for me. Thanks.

8 Thu 9 Sat Forum Grapher Calculus II : 9 Work Live Notes Expand All PDF-beta . 1 Units In the SI metric system (most of the world...), the mass is measured in kilograms (kg), teh displacement in meters (m), the time in seconds (s), and the force in newtons ( N = kg/s2). A force of 1 N acting on a mass of 1 kg produces an acceleration of 1m/s2. In the US Customary system, the fundamental unit is chosen to be the unit of force, which is the (force) pound. 2 Work in case of a constant force If an object is subjected to a constant force F then the work done is defined to be the product of the the force F and the distance d that the object moves: W = F . d.In the SI system work is measured in joules (J : iv - m]. If F is measured in pounds and distance in feet, then the unit for W is a Font-pound [-lh) which is about 1.36]. ' 3 Work integral In general we dene work done in moving along the line an object from u to o to he 9 h W : fit-JIM. 4 Hooke's Law Let no object attached in a spring lie on a 'ictinnless surface. Hanke's Law states that the force required to maintain a spring stretched 1' units beyond its natural length is proportional to r: m) = m where l- is a positive constant, often called the spring constant. 4 E Homework :Jttangna PDF-beta , 1. A superman cyclist rode a bike uphill at 20 miles/hour for two hours To sustain this constant speed the cyclist was exerting 50 pounds. (a) How much work has the cyclist done during the trip? (11) How many power bars are needed to make up for the lost energy? Assume that one power bar has 300kcal and that a tit person's energy conversion efciency is 25\\%. Google the the needed conversion formulas. 2. A force of4 N wrll stretch a rubber band 0.04m. Assuming that Hooke's Law applies, how far will an 8-N force stretch the rubber band? How much work does it take to stretch the rubber hand this far? 3. When a particle of mass m is at (2.0). it is attracted toward the origin with a force whose magnitude is lt/m' where I.- is some constant. If a particle starts from rest at .1: : b and no other forces act on it. calculate the work done on it by the time it reaches 1 = a, o