6-A 1230 kg car rolling on a horizontal surface has a speed of 80 km/hr when it

Question

6-A 1230 kg car rolling on a horizontal surface has a speed of 80 km/hr when it strikes a horizontal coiled spring and is brought to rest in a distance of 4.5 m. What is the spring constant (in N/m) of the spring? (Ignore nonconservative forces such as friction.)

7. A spring has a spring constant "k" of 580 N/m. How much must this spring be compressed (in meters) to store 80 J of energy?

9-An object slides down a frictionless 33 degree incline whose vertical height is 41.0 cm. How fast is it going in meters/second when it reaches the bottom?

10. A 75 kg child descends a slide 7.8 m high and reaches the bottom with a speed of 3.10 m/s. How much thermal energy (in joules) due to friction was generated in this process?

11. Two railroad cars, each of mass 3100 kg and traveling 80.0 km/hr, collide head-on and come to rest. How much thermal energy in joules is produced in this collision?

Explanation / Answer

7.

Using conservation of energy

0.5mv^2= 0.5k x^2

k= 1230*(80*5/(4.5*18)) ^2

= 29995.4 N/m

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According to Chegg guidelines I can answer one question at a time so please post other questions separately  

Comment in case any doubt . Goodluck

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