A pen contains a spring with a spring constant of 261 N/m. When the tip of the pen is in its retracted position, the spring is compressed 4.6 mm from its unstrained length. In order to push the tip out and lock it into its writing position, the spring must be compressed an additional 6.7 mm. How much work is done by the spring force to ready the pen for writing? Be sure to include the proper algebraic sign with your answer.

A 31 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals 8,700 N/m. (a) By how much would the spring be compressed by the child if she simply balanced herself vertically on the pedals of the stick? (Give your answer in cm.)  cm (b) How much energy (in J) is stored in the spring under this circumstance?  J

Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance yo, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 4.80 x 10° N/m, the helper spring constant is 3.80 x 10° N/m, and Y. = 0.500 m. Truck body -"Helper" spring Main leaf spring Axle (a) What is the compression of the leaf spring for a load of 5.10 x 10° N? 0 81 (b) How much work is done in compressing the springs? 1 34 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J Need Help? Read It

Below is a conservation of energy problem. The solution to this problem is provided. Assess whether the solution provided is correct or incorrect AND EXPLAIN WHY. 1. A 4.6 kg block is at rest against a horizontal spring that is compressed by 0.40 m. The spring has a spring constant of k₁ = 2750 N/m. After leaving the spring, it travels up a 28° incline to a height of 2.8 m. At the top of the hill is a second spring with a spring constant of k₂ = 350 N/m. The horizontal portions are frictionless, but the hill has a coefficient of kinetic friction equal to uk= 0.16. x₁ = 0.40 m (CO))) N k₁ = 2750- m Simplifies to Mk = 0.16 a. How fast does the block leave the spring on the bottom of the hill? x₁ = 0.40 m h₁ = 0 m Vi= 0 m/s 28⁰ k = 2750 N/m m = 4.6 kg 2 Wnc+mghi +1⁄₂kx² W nc +½ = 0 J ½/2kx; ² = 2 mv; = = h = 2.8 m ½ mvf2 X₁ = 0 m hf = 0 m Vi=? m/s mghƒ+½ kxf² +½ mv₁² vf = √k/m* Xi =√(2750 N/m ÷4.6 kg) * (0.40 m) Vf = 9.78 m/s (XX))) = 350 N m

I need help with finding the last part.  A moving 1.70 kg block collides with a horizontal spring whose spring constant is 303 N/m. The block compresses the spring a maximum distance of 14.50 cm from its rest position. The coefficient of kinetic friction between the block and the horizontal surface is 0.120. What is the work done by the spring in bringing the block to rest? How much mechanical energy is being dissipated by the force of friction while the block is being brought to rest by the spring? What is the speed of the block when it hits the spring?

A spring that has a spring constant of k = 183.0 N/m is oriented vertically, with one end on the ground. What distance y must the spring compress for an m = 2.43 kg object placed on its upper end to reach equilibrium? y = By how much AUspring does the potential energy stored in the spring increase during the compression? AUspring = J

A spring has a spring stiffness constant kkk of 95.0 N/m How much must this spring be compressed to store 20.0 J of potential energy? Express your answer to three significant figures and include the appropriate units.

7. The force of an ideal spring is given by F = -k x Where k is the spring constant of the spring and x is the displacement of the spring from equilibrium. To stretch a certain spring 3.00 cm from its unstretched length, 12.0 J of work must be done. a. What is the force constant of this spring? b. What magnitude force is needed to stretch the spring 3.00 cm from its unstretched length? c. How much work must be done to compress this spring 4.00 cm from its unstretched length, and what force is needed to compress it this distance?

#Q07

A 8.3 kg block is connected to a light spring with k = 214 N/m on a horizontal rough (us = 0.14, pk = 0.345) surface. The spring is initially at its equilibrium position and the block is at rest. Nadia then comes along and pulls the block horizontally and stretches the spring out. When she stretches the spring out by 32 cm, she holds the block there at rest. How much work (J) did she do on the block from when she first started pulling? Give answer out to second place past the right of the decimal. No units %3! !! necessary. Nadia pulls the block rough