compressed 3.0 cm. How far must you compress a spring with twice the spring constant to store the same amount of energy? Express your answer with the appropriate units. Az = μA Value Units ?

A spring with a spring constant of (4.4907x10^4) N/m is stretched from an initial extension of (8.00x10^-2) m to a final extension of (2.229x10^-1) m. Calculate the work that must be done by the external force. Give your answer to 2 s.f.

A box is placed against a spring with spring constant 300N/m. The spring is compressed a distance of 2m and then released. How much kinetic energy does the box have after leaving contact with the spring (assuming no frictional losses)?   400 J 500 J 600 J 700 J

The force required to compress a non-standard spring as a function of displacement is given by the equationF(x) = -Asin(bx) + kx,where A = 25 N, b = 11 rad/m, and k = 68 N/m. Enter a general equation in terms of the given variables for the work required to compress this spring from position x1 to x2.  Calculate the work done in joules as the spring is compressed from x = 0 to x1 = 21 cm.  Calculate the work done in joules as the spring is compressed from x1 = 21 cm to x2 = 66 cm

Answer parts a, and b of the following question.7. a) You want to store 1,000 J of energy in an ideal spring when it is compressed by only 2.5 cm. What should be the force constant (spring constant) of this spring? b) A very light ideal spring having a spring constant (force constant) of 8.2 N/cm is used to lift a 2.2-kg tool with an upward acceleration of 3.25 m/s2. If the spring has negligible length when it us not stretched, how long is it while it is pulling the tool upward?

1) A box of mass m= 50kg which is sliding on a horizontal rough surface and momentarily comes to stop after compressing the spring by a distance of 120 mm. The spring has a spring constant k = 20KN/m and is initially in its equilibrium state. The initial speed of the box is 3.0m/s. a) What is the work done by the spring as the box is brought to a stop? b) Write an expression for the work done by friction during the stopping of the box (in terms of the coefficient of kinetic friction). c) Determine the coefficient of friction between the box and the surface. v=3.0 ms 600 mm 600 mm 120 mm-

Imagine a spring that doesn't follow Hooke's Law, but instead requires a force F(x)=kln(x+1)F(x)=kln⁡(x+1), where F is in newtons, x is the stretch length in meters and k = 150.0 N. An engine pulls and stretches the spring at a constant power output. If the engine pulls the spring so it stretches a distance of 10 meters in 5 seconds, what is the engine's power output, in watts? Justify your answer using your equations and rationale used.

A block of mass 2.80 kg is placed against a horizontal spring of constant k = 745 N/m and pushed so the spring compresses by 0.0550 m. HINT (a) What is the elastic potential energy of the block-spring system (in J)?   When a spring is compressed or stretched, the spring potential energy,  PEs =  1 2 kx2,  is always positive. Gravitational potential energy,  PEg = mgy,  can be positive or negative depending on whether an object is above or below the  y = 0  reference height. J (b) If the block is now released and the surface is frictionless, calculate the block's speed (in m/s) after leaving the spring.   m/s

What is the value for slope? (number and units)and what does the slope represent?

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