A body weighing 40 lb starts from rest and slides down a plane at an angle of 30° with the horizontal for which the coefficient of friction µ = 0.30. (1) How far will it move during the third second? (2) How long will it require for it to move 60ft?

A solid plastic sphere as shown in the figure (mass m=1 kg, and radius r = 10 cm ) initially at rest starts to rotate about its axis owing to a tangential force F as shown. The ball reaches the velocity v=10 m/s in 5 sec after the start. (a) Find the magnitude of the force F in Newtons.

Suppose your car approches a hill and has an intial speed of 106 km/h at the bottom of the hill. The driver takes her foot off the gas pedal and allows the car to cost up hill. the mass of the car is 740 kg  and it stops at height 21 m above the starting point.  What is the magnitutde of the average force of friction, in newtons, if the hill has as slope 2.2 degrees above the horizontal

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(c) An atmospheric drag force with magnitude FD = Dv², where u is speed, acts on a falling 300 mg raindrop that reaches a terminal velocity of 11 m/s. (a) Show that the SI units of D are kg/m. (b) Find the value of D.

(B) A maintenance man (climber) tries to maintain one of the power stations iocated at the top of the mountain in the situation of winter. During his work and by mistake drops his water bottle which then slides 100 M down the side of a steep icy slope to a point which is 10 m lower than the climber's position. The mass of the climber is 60 kg and his water bottle has a mass of 500 g. 1) If the bottle starts from rest, how fast is it travelling by the time it reaches the bottom of the slope? (Neglect friction.) What is the total change in the climber's potential energy as she climbs down the mountain to fetch her fallen water bottle? i.e. what is the difference between her potential energy at the top of the slope and the bottom of the slope? Analysis all the above situation.

Akagi was a Japanese aircraft carrier used during World War II. The upper flight deck sloped slightly fromamidships toward the bow and toward the stern to assist landings and takeoffs for the underpowered aircraft of that time. Assumea 5 m drop from amidship to the bow. Assume the Japanese Nakajima Ki‐84 plane could takeoff in a length of about 58 m at a speedof 31 m/s. The mass of the plane is 3600 kg fully loaded with gasoline. What force is the engine required to produce for takeoff?Ifthe deck were not sloped, what force would the engines require for takeoff?

An airboat with mass 3.5 x 102 kg including passengers has an engine that produces a nethorizontal force of 7.70 x 102 N, after accounting for forces of resistance. (a) Find for theacceleration of the airboat (b)starting from rest, how long does it take the airboat to reach aspeed of 12.0m/s? (c)after reaching this speed, the pilot turns off the engine and drifts to a stopover a distance of 50.0 m. Find the resistance force, assuming its constant. Suppose the pilotstarting again from rest, opens the throttle partway. At a constant acceleration, the airboat thencovers a distance of 60.0 m in 10.0 s. Find the net force acting on the boat.

A bicyclist can coast down a 6.17 degree hill at a constant speed of 6.64 km/h. If the force of air resistance is proportional to the speed vso that Fair = c v, calculate the average force (in N) that must be applied in order to descend the hill at 13.0 km/h. The mass of the cyclist plus bicycle is 77.8 kg.