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A roller coaster has a vertical loop with radius 27.2 m. With what minimum speed should the roller-coaster car be moving at the top of the loop so that the passengers do not lose contact with the seats?

A metallic box begins at rest at point 1 at a height of 5R, where R is the radius of the circular part of the track. The box slides down the frictionless track and around the loop. If the box has a gravitational weight of 80 N, what is the magnitude of the normal force acting on the box at point 2?

A robe can hold a maximum F₁ = 100M. On a frictionless horizontal surface, a 0.75kg object attached to the This object goes rope. around a circle with 1.5m radius. lalhat is the Vmax the object can have ? 7 e it can

Consider a roller-coaster car on a track that has a loop of known radius R.  If there is no friction between the rollercoaster car and the track, then determine (a) the minimum speed at the top of the loop for the rollercoaster car to still be in contact with the track and (b) the minimum height  h  the rollercoaster car must start from in order to go all the way around the loop without losing contact with the track (assuming the rollercoaster starts from rest).  The only knowns here are  R  and  g,  so your symbolic answers need to be in terms of these.   Part (a) can be treated using newton's second law and uniform circular motion (even though it's not really uniform).  Start with a free-body diagram of a coaster car at the top of the loop. What does it mean for the rollercoaster car to still be "in contact" with the track? Part (b) can be treated using conservation of mechanical energy. You'll need your result from part (a). How high above the ground are you when you're at the top…

A roller coaster of mass 380.0 kg is moving with a speed of 2.50 m/s at point A, at a height of h= 60.0m from the ground (see the figure). The radius of the circular loop is 22.0 m. Neglect friction.  1.  Find the speed of the roller coaster at point C. 2.  Compute the normal force on the cart at point C.

Consider the pendulum shown in the figure. The pendulum is released at point A, swings through its lowest point at point C, and reaches its turning point at point D. You may ignore the effects of air resistance. Answer the following questions: A В D C (a) Draw the free body diagram when the object is located at point B. (b) On your free-body diagram, draw a circle around the force components that contribute to the centripetal acceleration and draw a square around the force components that contribute to the tangential acceleration. (c) Draw the direction of the total acceleration vector when the object is located at point B.

Experimental Ezra ties a 59.4 g tennis ball to a string and swings it in a vertical circle. Ezra swings the ball so that it always has constant speed of v = 4.82 m/s. The radius of the swing is r = 0.787 m and Ezra's hand is H = 1.40 m above the ground as shown. y H

A 35.0 kg child is on a swing following a circular path with a radius of 3.25 m. As the swing passes through the lowest point of the circular path, the seat exerts a force of 480 N [up] on the child, what is the speed of the swing at that point?

what if the track is frictionless, find the speed at the top of the point D loop with a radius of 20. meters?