Question

Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass .5kg. You want to find out how fast she must swing the bucket to keep the glass from falling out. A. Draw the free-body

asked Jul 2, 2023 128k views

Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass .5kg. You want to find out how fast she must swing the bucket to keep the glass from falling out. A. Draw the free-body diagram for the glass when it is at the top of the circle. B. What is the equation for the net force on the glass at the top of the circle in terms of w, Fn, m, v, and r?A roller coaster starts at the top of a hill of height h, goes down the hill, and does a circular loop of radius r before continuing on. This roller coaster is not attached to the track - it only glides on top of it, so it could fall off at the top of the loop. This section of the roller coaster is shown in the picture I attached. If the roller coaster starts at the top of the hill with zero velocity, what is the expression for the velocity of the roller coster at the top of the loop?A. Draw the free body diagram for the roller coaster at the top of the the loop. B write the expression for the net force in the y-direction at the top of the loop in terms of w, Fn, m, v, and r. C. Write the equation that will tell you the velocity at which the coaster will fall when it reaches the top of the loopD. If the coaster has a mass of 50kg and the loop has a radius of 30m, how fast must the coaster be going at the top of the loop to keep it from falling? E. Based on the values in the previous part, how high must the roller coaster start out to prevent it from falling from the top of the loop? F. If friction along the track caused the coaster to lose 10% of its initial energy by the time it reached the top of the loop, how high would h need to be to keep the coaster from falling off?