(Solved): 3. Refer to the diagram above; assume conservation of energy throughout this problem. A 942-kg car ...

3. Refer to the diagram above; assume conservation of energy throughout this problem. A 942-kg car starts at rest at position A, against a compressed spring \( \left(k_{A}=1720 \mathrm{~N} / \mathrm{m}\right) \). Then, the spring is released, launching the car across the track. At position \( B \) (where the car has left the spring), the car's speed is \( 14.8 \mathrm{~m} / \mathrm{s} \). (a) At position A, how far is the spring compressed? (b) At position C, what is the car's speed? (c) When the car hits the spring at \( E \), the spring will have maximum compression of \( 0.75 \) meters. What is its spring constant, \( k_{E} \) ?