23 A spring hos a natural length of 2 feet. A force of 15 pounds is...
2. Question from 1.1: Rectangular Coordinatas Use Hooke's Law for springs, which states that the distance a spring is stretched (or compressed) varies directly as the force on the spring An overhead garage door has two springs, one on each side of the door. A force of 11 pounds is required to stretch each spring 1 foot. Because of a pulley system, the springs stretch only one-half the distance the door travels. The door moves a total of 10 feet,...
1. Twelve foot-pounds of work is required to stretch a spring 1 foot from its natural length Find the work required to stretch the spring an additional three inches.
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...
A spring has a rest length of 14 inches spring and a force of 5 pounds stretches the spring to a length of 22 inches force How much work is done stretching the spring from a length of 15 inches to a length of 23 inches? Represent the amount of WORK as an integral. b Work = وه Preview dx a inches b = inches Then evaluate the integral. Work = inch*pounds
The work required to stretch a spring 1.2 meters beyond its natural length is 36 Joules. The force required to hold the spring at a length of 6 meters is 100 Newtons. Find the natural length of the spring.
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 *
• HOOKE'S LAW says that (CIRCLE responses as appropriate) WORK HOLD the required to a spring x units beyond its natural length FORCE STRETCH DIRECTLY proportional to a. INVERSELY • Fuel is to be pumped from a tank in the shape of a half-cylinder. Its length is 10 feet, and its radius is 4 feet. The tank is filled to a level 1 foot below the top of the tank, and the fuel is to be pumped to a spigot...
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.
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...
021 (part 1 of 2) 10.0 points The force required to stretch a Hooke's-law spring varies from 0 N to 69.3 N as we stretch the spring by moving one end 9.11 cm from its unstressed position. Find the force constant of the spring Answer in units of N/m. 022 (part 2 of 2) 10.0 points Find the work done in stretching the spring Answer in units of J.