Chap 10 EXAMPLE #1 Problem #13, page 296
A 1500-kg car traveling at 10 m/s suddenly runs out of gas while approaching the valley shown in the figure. Will the car make it to the gas station? If so, what will be the car’s speed as it coasts into the gas station? Assume friction and air resistance are negligible.
Chap 10 EXAMPLE #2 Problem #16, page 296
A 10-cm-long spring is attached to the ceiling. When a 2.0-kg mass is hung from it the spring stretches to a length of 15cm.
(a) What is the spring constant k ?
(b) How long is the spring when a 3.0-kg mass is hung from it?
Chap 10 EXAMPLE #3 Problem #45, page 298
A vertical spring with k = 490 N/m is standing on the ground. You are holding a 5.0-kg block just above the spring, but not quite touching it.
(a) How far does the spring compress if you let go of the block suddenly?
(b) How far does the spring compress if you slowly lower the block to the point where you can remove your hand and the block will remain stationary?
(c) Why are your two answers different? What happened to the missing energy in part b?
Chap 10 EXAMPLE #4 Problem #28 page 297 (varied a bit)
Ball 1, with a mass of 100 g and traveling at 10 m/s, collides head-on with ball 2, which has a mass of 300 g and is initially at rest. What is the final velocity of each ball and the change in the total kinetic energy if the collision is
(a) perfectly inelastic?
(b) perfectly elastic?
Chap 10 EXAMPLE #5 Problem #32 page 297
(a) According to the figure, what minimum speed is needed for a 100-g particle at point A to reach point B?
(b) What minimum speed does the same particle need at point B to reach point A?