A small block with mass 0.0450kg slides in a vertical circle of radius 0.600m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the magnitude of the normal force exerted on the block by the track has magnitude 3.85N. In this same revolution, when the block reaches the top of its path, point B, the magnitude of the normal force exerted on the block has magnitude 0.660N. How much work was done on the block by friction during the motion of the block from point A to point B?

Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. Each step is of uniform height d. The mass of each object is a multiple of the base mass m: object 1 has mass 4.60m, object 2 has mass 1.71m, and object 3 has mass m. When the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. If the objects are then relocated as shown, what is the new total potential energy of the system? Each answer requires the numerical coefficient to an algebraic expression. Each algebraic expression is given using some combination of the variables m, g, and d, where g is the acceleration due to gravity. Enter only the numerical coefficient. (Example: If the answer is 1.23mgd, just enter 1.23)   This potential energy was calculated relative to the bottom of the stairs. If you were to redefine the reference height such that the total potential energy of the system became zero, how high…

The diagram shows the all of the forces acting on a body of mass 3.13 kg. The three forces have magnitudes F1 = 59.2 N, F2 = 27.7 N, and F3 = 74.4 N, with directions as indicted in the diagram, where θ = 55.8 degrees and φ = 21.4 degrees. The dashed lines are parallel to the x and y axes. At t = 0, the body is moving at a speed of 5.29 m/s in the positive x direction. 1.)What are the x and y components of the acceleration in m/s2?

A warehouse worker is pushing a 90.0 kg crate with a horizontal force of 283 N at a speed of v = 0.875 m/s across the warehouse floor. He encounters a rough horizontal section of the floor that is 0.75 m long and where the coefficient of kinetic friction between the crate and floor is 0.354. (a)Determine the magnitude and direction of the net force acting on the crate while it is pushed over the rough section of the floor. (b) Determine the net work done on the crate while it is pushed over the rough section of the floor. (c) Find the speed of the crate when it reaches the end of the rough surface.