A block of mass m = 1.5 kg is attached to a spring with spring constant k = 890 N/m.
The spring is attached to a fixed wall.
The block is initially at rest on an inclined plane that is at an angle of θ = 22 degrees with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk= 0.15.
In the initial position, where the spring is compressed by a distance of d = 0.15 m, the mass is at its lowest position and the spring is compressed the maximum amount. Assume the initial gravitational energy of the block is zero.
(a) What is the block's initial mechanical energy, E0 in Joules?
(b) If the spring pushes the block up the incline, what distance
L, in meters, will the block travel before coming to rest? The spring remains attached to both the block and the fixed wall throughout its motion.

1. the materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. she knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. she also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four (4) days.2. at what point should resin be reordered? a. 0 kilograms remainingb. 50 kilograms remainingc. 200 kilograms remainingd. 400 kilograms remaininge. 500 kilograms remaining3. if order size was 1,000 kilograms of resin, what would be the length of an order cycle? a. 0.05 daysb. 4 daysc. 16 daysd. 20 dayse. 50 days4. if the order size was 1,000 kilograms of resin, what would be the average inventory level? a. 50 kilogramsb. 200 kilogramsc. 500 kilogramsd. 800 kilogramse. 1,000 kilograms5. if the order size was 1,000 kilograms of resin, what would be the daily total inventory costs, excluding the cost of the resin? a. $5b. $10c. $20d. $25e. $40