3-A 1.0 kg block slides down an inclined plane of 39 0 from the horizontal. If the block starts from rest and hits the bottom in 5.1 s, what is the speed of the block, in the unit m/s, at the bottom of the incline? Assume a frictionless plane.
4-A bus negotiates a turn of radius 103 m while traveling at a speed of 92 km/h. If slipping just begins at this speed, what is the coefficient of static friction between the tires and the road?
5-A car travels around a curved road with a radius of 118 m and a banking angle of 11 degrees. With what maximum speed, in m/s, can the car turn around this curve without a tendency to skid?
6-A lady moves a suitcase of mass 22.3 kg with frictionless wheels across a horizontal floor by pulling on a cord attached to the suitcase making an angle of θ = 43 degrees to the horizontal, as shown in the diagram. If the lady pulls the cord with a force of 29.8 N, what is the magnitude of the acceleration of the suitcase, in units of m/s2
7-A man wants to push a crate of mass 64.3 kg up a ramp at an angle of 17 degrees to the horizontal. What force must he apply parallel to the ramp to start the crate moving up the ramp, in units of Newtons?
the coefficient of static friction between the block and the board is 0.87
the coefficient of kinetic friction between the block and the board is 0.34
give your answer as a positive number
8-An electric motor turns at 547 rpm. What is the angular speed in rad/s?
9-An object moves with uniform circular motion around a circle of radius 0.69 m with a Period of 0.17 s. What is its linear speed in units of m/s?
10-An object moves in a circle of radius 3.58 m with a constant speed. If the centripetal acceleration of the object is 0.2 m/s2, what is its speed, in units of m/s ?
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