A small block of mass 246 g starts at rest at A, slides to B where its speed is vg = 5.4 m/s, then slides along the horizontal surface a distance 10 m before coming to rest at C. A 4.0 m B 10 m

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?

1. The sledder shown in figure starts from the top of a frictionless hill (Point A) with an initial speed of 30 m/s and slides down into the valley. What is the final speed at the top of the next hill (Point B)? 30 m/s A 100 m 130 m O 30 m/s We cannot solve this problem without knowing the mass of the sledder. O 17.7 m/s O 12.5 m/s O 23.8 m/s

A particle of mass m = 1.50 kg moves along one dimension and is subject to a single force, whose potential energy function is given by U(x) = x4 – 2x2 + 4 (where U is measured in Joules and x is measured in meters). At the moment when the particle is located at position x = 1.50 m, its speed is v = 2.50 m/s. %3D

? V m In the above image we see a 3.43 kg box that is moving to the right at 19.5 m/s. The box hits into a rough patch that applies a frictional force of 277 Newtons until the box comes to a stop. time K.E. E.P.E. Joules G.P.E. M.E Initial Joules Joules Joules Final Joules Joules Joules Joules How much work was done on the box by friction? Joules How far would the box travel before coming to a stop? meters

A 5.74 kg object falls freely (ignore air resistance), after being dropped from rest. Determine the initial kinetic energy (in J), the final kinetic energy (in J), and the change in kinetic energy (in J) for the following. (a) the first meter of the fall initial kinetic energy final kinetic energy change in kinetic energy (b) the second meter of the fall initial kinetic energy final kinetic energy change in kinetic energy J J J J J

The sledder shown in the figure starts from the top of a frictionless hill and slides down into the valley.  What initial speed Vi does the sledder need to just make it over the next hill?  Assume that the sledder reaches the very peak of the second hill at a very small speed like v=0.

A 5.24 kg object falls freely (ignore air resistance), after being dropped from rest. Determine the initial kinetic energy (in J), the final kinetic energy (in J), and the change in kinetic energy (in J) for the following. (a) the first meter of the fall initial kinetic energy final kinetic energy change in kinetic energy (b) the second meter of the fall initial kinetic energy final kinetic energy change in kinetic energy