Problem 5DCh. 5–9NAME ______________________________________ DATE _______________ CLASS ____________________1.A highway guardrail is designed so that it can be distorted as much as5.00 cm when struck by an automobile. What is the minimum forceconstant of the guardrail if it is to withstand the impact of a car with1.09 ×104J of energy?2.An arresting cable helps to slow jet planes as they land on an aircraftcarrier. This is accomplished by two springs, each of which is attachedto one end of the cable. Suppose the elastic potential energy stored inthe springs while a jet is landing is 5.78 ×107J. If each spring isstretched 102 m, what is the force constant of each spring?3.A produce scale at a supermarket uses a stretched spring to indicate theweight of fruits and vegetables. If five oranges with a total mass of0.76 kg are placed in the scale, the spring will be stretched 2.3 cm.What is the force constant of the spring?4.A 5.0 kg stone is slid up a frictionless ramp that has an incline of 25.0°.How long is the ramp if the gravitational potential energy associatedwith the stone is 2.4 ×102J?5.A pogo stick contains a spring with a force constant of 1.5 ×104N/m.Suppose the elastic potential energy stored in the spring as the pogostick is pushed downward is 120 J. How far is the spring compressed?6.A 1750 kg weather satellite moves in a circular orbit with a gravita-tional potential energy of 1.69 ×1010J. At the satellite’s altitude aboveEarth’s surface, the free-fall acceleration is only 6.44 m/s2. How highabove Earth’s surface is the satellite?7.An automobile to be transported by ship is raised 7.0 m above thedock. If its gravitational potential energy is 6.6 ×104J, what is the automobile’s mass?8.One of the largest planes ever to fly, and the largest to fly frequently, isthe Ukrainian-built Antonov An-124 Ruslan.Its wingspan is 73.2 mand its length is 69.2 m. The gravitational potential energy associatedwith the plane at an altitude of 1.45 km is 3.36 ×109J. What is the airplane’s mass?