I have been having trouble with this problem. Im not sure if Im setting it up ri

Question

I have been having trouble with this problem. Im not sure if Im setting it up right or not. Could someone show me how to solve this step by step because I have 6 more questions based on springs. I would like a solid example to work from. a 50 kg cart rests on a 37 degree incline against a compressed spring of force constant 1.0x10^5 N/m. Initially, the spring is compressed 0.20 m. When released, the spring launches the cart up the incline. Determine the cart's speed when it is 2.0 m from its starting position. A 100 N friction force opposes its motion along the incline. Thanks for any help I could get.

Explanation / Answer

example A wooden block with mass 1.20kg is placed against a compressed spring at the bottom of a slope inclined at an angle of 35.0 (point ). When the spring is released, it projects the block up the incline. At point , a distance of 8.00m up the incline from , the block is moving up the incline at a speed of 5.15m/s and is no longer in contact with the spring. The coefficient of kinetic friction between the block and incline is u_k= 0.50. The mass of the spring is negligible. Calculate the amount of potential energy that was initially stored in the spring. ans Initial potential energy = work done against friction+ increases in gravitational potential and kinetic energy. µ mg (cos ? )* d +mg d sin ? +0.5mv² 0.5 *1.2*9.8(cos 35 )* 8 +1.2*9.8*8* sin 35 +0.5*1.2*15² = 227.5 J

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