• HOOKE'S LAW says that (CIRCLE responses as appropriate) WORK HOLD the required to a spring...
4. A 10 foot conical tank with a radius 5 feet is filled with oil weighing 57 pounds/ft? (a)-(c): Do not integrate. Just set up the integral so that I can see the differences in each expression. (a) Set up the integral to find the work to pump the oil to the top of the tank. (b) Set up the integral to find the work to lift the top 3 feet of olive oil over the top of the tank....
Hooke’s Law states that the force required to maintain a spring stretched x units beyond its natural length is proportional to x, i.e. f(x) = kx where k is a positive constant. Suppose that 4 J of work is needed to stretch a spring from its natural length 10 cm to a length of 36 cm. Find the exact value of work needed to stretch the spring from 15 cm to 28 cm.
9. a. A spring has constant k-5lb./in. Its natural length is 12 inches. What is the work required to compress it to 9 inches? b. A 100 ft. cable weighs 40 lbs. Find the work done in winding the cable onto a winch, if the cable is hanging vertically c. An unknown positive charge q is placed at the origin. The force F (in Newtons) with which this charge repels a unit positive charge is given by F-kq/r, where k...
if the work required to stretch a spring 2 feet beyond its natural length is 15 ft- Express the limit as a definite integral: 6 lim - n جn = 1+ ()4 6 da Jo =(1+24) 6 dz =(1+24) 6 dx 1 + r4 1 1+ 4 6 1 + 4 Question 3 w ity *
Suppose a force of 40 N is required to stretch and hold a spring 0.1 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is required to compress the spring 0.2 m from its equilibrium position? c. How much work is required to stretch the spring 0.5 m from its equilibrium position? d. How much additional work is required to stretch the spring 0.1 m if it has...
3) Consider Hooke's Law: The force required to keep a spring in a compressed or stretched position x units from the spring's equilibrium position is F(x)-kr Calculate the work required, in joules, to stretch a spring 0.4 meters beyond its equilibrium position for each of the following scenarios. a) The spring requires 50 Newtons of force to hold it 0.1 m from its equilibrium position. b) The spring requires 2 Joules of work to stretch the spring 0.1 meter from...
(1) Suppose you lift a stone that has a mass of 5.3 kilograms off the floor onto a shelf that is 2 meters high. How much work have you done? Joules (2) Suppose you lift a laptop that weighs 3.2 pounds off the floor onto a shelf that is 4 feet high. How much work have you done? foot-pounds (3) The force on a particle is described by 9x^3−1 pounds at a point xx feet along the x-axis. Find the...