A block has a mass  1989  grams and is setting on a flat, frictionless surface.  The block is pushed along until it has a speed of  3.31 m/s.  That force is removed, and then a short time later another force pulls upon the block via a massless rope angled at  26.6 degrees above the horizontal as shown below.  The force is steady at   16.63  mN and acts for   33.3 seconds.  So, what is the final speed of this block after this process? a)12.7 m/s b) 3.56 m/s c) 1.8 m/s d) 1.9 m/s e) 7.1 m/s

A 2.46 kg block moves along a frictionless surface with a speed of 7.83 m/s when it encounters a rough shallow hill, whose sides have a length of l=5.21 m. The hill is low enough so that the block can make it over the hill. Because the surface of the hill is rough (shown in orange in the figure), the block experiences a frictional force of 2.23 N while on the hill. a) What is the speed of the block after it traverses the hill?

4. A roller coaster car with its three passengers (a total of 450. kg) is pulled up to the top of a 30.0 meter hill where it is released at a speed of 1.00 meter per second to begin its hurtle down the track toward a 15.0 meter diameter loop the loop at the bottom. Unfortunately the maintenance crew still has some work to do on the old rusty roller coaster track and the average frictional force on the 65.0 meter long angled descent is 595 N. Luckily the loop the loop portion of the roller coaster track has been recently polished and Teflon coated to reduce friction to practically nothing. What will be the speed of the car at the top of the loop the loop, and will this be enough to have the car stay on the track all the way round the loop?

A horizontal force of 20 N pulls a block of mass 3.8 kg across a level floor. The coefficient of kinetic friction between the block and the floor is MK = 0.25. If the block begins with a speed of 6.0 m/s and is pulled for a distance of 18 m, what is the final speed of the block? m/s