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16. (15 points) A skier of mass m starts from rest at the top of a solid sphere of radius r
and slides down its frictionless surface. (a) At what angle will the skier leave the sphere?
(b) If friction is present, does the skier fly off at a greater or lesser angle?
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- (II) A ski starts from rest and slides down a 28° incline 85 mlong. (a) If the coefficient of friction is 0.090, what is theski’s speed at the base of the incline? (b) If the snow islevel at the foot of the incline and has the same coefficientof friction, how far will the ski travel along the level? Useenergy methods.(II) A sled is initially given a shove up a frictionless 23.0°incline. It reaches a maximum vertical height 1.22 m higherthan where it started at the bottom. What was its initial speed?(II) If the speed of a car is increased by 50%, by what factorwill its minimum braking distance be increased, assumingall else is the same? Ignore the driver’s reaction time.
- . (III) An engineer is designing a spring to be placed at thebottom of an elevator shaft. If the elevator cable breakswhen the elevator is at a height h above the top of thespring, calculate the value that the spring constant k shouldhave so that passengers undergo an acceleration of no morethan 5.0 g when brought to rest. Let M be the total massof the elevator and passengers.(II) In a certain library the first shelf is 15.0 cm off the ground,and the remaining four shelves are each spaced 38.0 cmabove the previous one. If the average book has a mass of1.40 kg with a height of 22.0 cm, and an average shelf holds28 books (standing vertically), how much work is requiredto fill all the shelves, assuming the books are all laying flaton the floor to start?I need (a),(b) & (c)
- In Fig. 6–31, water balloons are tossed from the roof of a building, all with the same speed but with different launch angles. Which one has the highest speed when it hits the ground? Ignore air resistance. Explain your answer.(II) A 145-g baseball is dropped from a tree 12.0 m abovethe ground. (a) With what speed would it hit the groundif air resistance could be ignored? (b) If it actually hits theground with a speed of 8.00 m/s what is the average forceof air resistance exerted on it?I need help with (e ) and (f)