SF-2 The force required to stretch Force (N) (elongate) a spring is shown in the graph...
It is possible to vary the diameter of the wire and the diameter of the spring coil to produce a spring for which F-ax a) Write the expression for an infinitesimal amount of work dWk done to stretch this spring an infinitesimal distance dx. b) Integrate your expression from part a) to get an expression for the work done to stretch the spring from elongation X to elongation X2. c) If your spring has a=1,200N/m", find the work done to...
A student measures the force required to stretch a spring by various amounts and makes the graph shown in Figure, which plots this force as a function of the distance the spring has stretched. (a) Does this spring obey Hooke’s law? How do you know? (b) What is the force constant of the spring, in N/m? (c) What force would be needed to stretch the spring a distance of 17 cm from its unstretched length, assuming that it continues to...
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...
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.
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.
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...
23 A spring hos a natural length of 2 feet. A force of 15 pounds is required to hold it compressed at a length of 18 inches al Assuming Hooke's Law appllo find the spring constant b) Find the force necessary to stretch the spring, Fix. c) Find the work required to stretch the spring from its natural length to a length of 3 23. A spring has a natural length of 2 feet. A force of 15 pounds is...
QUESTION 4: (10 points) A force of 30 Newtons is required to stretch a spring from its natural state to a length of 15cm. A force of 80 Newtons is required to stretch it to 20 cm from its natural state. How much work is required to stretch it from 15cm to 20 cm? Show ALL your steps and calculations.
A block of mass m=2.00 kg is attached to a spring of force constant k=500. N/m that lies on a horizontal frictionless surface. The block is pulled back 5.00cm and released. a) How much work was required to stretch the spring? b) What is the speed of the block when it is 2.50cm from the equilibrium point? c) What is the speed of the block at the equilibrium point?