6. A force of 30 N will stretch a spring 75cm (0.75m). Assuming Hooke's law applies,...
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...
1. A force of 2 N will stretch a rubber band 0.02 m. How far will a 4 N force stretch the band (assume Hooke's Law applies)? How much work does it take to stretch the band this far?
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.
When a 2.00-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.78 cm. (a) What is the force constant of the spring? N/m (b) If the 2.00-kg object is removed, how far will the spring stretch if a 1.00-kg block is hung on it? cm (c) How much work must an external agent do to stretch the same spring 9.00 cm from its unstretched position?
When a 3.80-kg object is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 2.30 cm. (a) If the 3.80-kg object is removed, how far will the spring stretch if a 1.50-kg block is hung on it? x When an object is 'hung' from a spring, the spring force is equal in magnitude to the gravitational force. cm (6) How much work must an external agent do to stretch the same spring 4.00 cm from...
A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax- 2 N if it stretched or compressed, where α = 60 N/m and β 18.0 Nm2/3. The mass of the spring is negligible. (a) Calculate the work function W(x) for the spring. Let U=0 when x=0. (b) An object of mass 0.900 kg on a horizontal surface is attached to this spring. The surface provides a friction force that is dependent on distance Fr(x)2x2...
PHY 3460 Hooke's Law and Elastic Potential Energy Questions When applying a 37.5 N force on a spring it compresses 15.0 cm. Calculate the spring 2) A spring (k 1.22 N/m) is hanging vertically. An unknown mass is hung from the spring 3) A 15.0 kg mass is hung from a spring causing it to stretch 0.25 m, find the spring constant. constant of the spring. causing it to stretch 57.3 mm. How large is the unknown mass? Then, another...
Consider a spring that does not obey Hooke's law very faithfully. One end of the spring is fixed. To keep the spring stretched or compressed an amount x, a force along the x-axis with x-component Fx=kx−bx2+cx3 must be applied to the free end. Here k=100N/m, b=700N/m2, and c=12000N/m3. Note that x>0 when the spring is stretched and x<0 when it is compressed. A)How much work must be done to stretch this spring by 0.050 m from its unstretched length? B)How...
1. According to Hooke's law, the force exerted by a spring is proportional to the amount of stretch (or change in length Ax) and is given by F = -KAX, where the minus sign indicates it is a restoring force. If a force of 120 N acts on a mass 250 g attached to a spring of constant K = 54.55 x 103 N/m. Calculate the following: The change in length Ax The angular frequency (w) The frequency (f) The...
1. According to Hooke's law, the force exerted by a spring is proportional to the amount of stretch (or change in length Ax) and is given by F = -KAx, where the minus sign indicates it is a restoring force. If a force of 120 N acts on a mass 250 g attached to a spring of constant K = 54.55 x 10 N/m. Calculate the following: The change in length Ax The angular frequency (w) The frequency (f) The...