Hooke's law describes a certain light spring of unstretched length 35.0 cm. When one end is attached to the top of a doorframe and a 7.50-kg object is hung from the other end, the length of the spring is 41.5 cm. (a) Find its spring constant, (b) The load and the spring are taken down. Two people pull in opposite directions on the ends of the spring, each with a force of 190 N. Kind the length of the spring in this situation.

When a 4.00-kg object is hung vertically on a certain light spring that obeys Hooke’s law, the spring stretches 2.50 cm. If the 4.00-kg object is removed, (a) how far will the spring stretch if a 1.50-kg block is hung on it? (b) How much work must an external agent do to stretch the same spring4.00 cm from its unstretched position? Answer :  (a) 472 J (b) 2.76 kN

Question in pic.

A 21.0 cm long spring is hung vertically from a ceiling and stretches to 25.9 cm when a 7.00 kg mass is hung from its free end. HINT (a) Find the spring constant (in N/m).  N/m (b) Find the length of the spring (in cm) if the 7.00 kg weight is replaced with a 205 N weight.  cm

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 in the figure below. The helper spring engages when the main leaf spring is compressed by distance Yo' then helps to support any additional load. Consider a leaf spring constant of 5.35 × 105 N/m, helper spring constant of 3.60 × 105 N/m, and y₁ = 0.500 m. Truck body Yo Axle (a) What is the compression of the leaf spring for a load of 4.10 × 105 N? 0.69 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m (b) How much work is done compressing the springs? J and

A spring 0.2 m long extends 0.001 m when a mass of 6 kg is hung from it.  How far will a similar spring extend if it is twice as long, when a mass of 8 kg is hung from it instead? Give your answers in meters.

A cart of mass 0.72 kg is attached to one end of of a spring and placed on a low-friction track, inclined at an angle of 56.0 degrees with respect to the horizontal. The cart is found to be in equilibrium when the spring is stretched to a total length of 44.8 cm. Given that the rest length for the spring is 12.8 cm, what is the spring constant for the spring?

A block of mass 1.6 kg is held against a horizontal spring so that the spring is compressed 17 cm. The block is released and it slides across the floor a distance of 3.4 m before it stops. The coefficient of friction between the block and floor is 0.185. Find the force constant of the spring.