A particle of mass m slides without friction on the inside of a cone. The axis of the cone is vertical, and gravity is directed downward. The apex half-angle of the cone is 0, as shown. The path of the particle happens to be a circle in a horizontal plane. The speed of the particle is vo. Draw a force diagram and find the radius of the circular path in terms of vo, g, and 0. A

A small block, initially at rest at point A, slides down a curve leading to a half-circle of radius R 6.75 m. The surface is frictionless, with the exception of a horizontal segment BC of length s=22.5 m, which has the coefficient of friction equal u=0.145.  A. What is the minimal height (h) for which the block reaches the top of the semicircle, point D? B. For the minimal height calculated in Part (a), what is the speed at point C? Please answer both A and B.

g force is max gravetional force

You are in a rocketship in deep space accelerating upwards with acceleration A. At the top of an inclined plane in the rocketship, you place a block of mass m. The length of the incline is L. If you let go of the block, what is the time taken by the block to reach the bottom of the incline? θ is the angle that the incline makes with the horizontal, and you make sure that the incline cannot move. Assume no friction.

A small block with mass 0.0450 kg slides in a vertical circle of radius 0.0710 m on the inside of a circular track. There is no friction between the track and the block. At the bottom of the block's path, the normal force the track exerts on the block has magnitude 3.70 N Part A What is the magnitude of the normal force that the track exerts on the block when it is at the top of its path?

A 756 N person travels in his vehicle through a deep circular-shaped dip in the road. When the vehicle passes through the lowest point of the 50.0 m dip, the seat exerts an 1110 N force on the person. Determine the speed of the vehicle at this point.