Question

At a gathering with friends, you decide to play a game of regulation cornhole where the players attempt to throw a 1 lb bag filled with field corn through a 6-inch hole in a board located as shown in the diagram below. If the bag is released at a 30° angle and is airborne for 3 seconds, what is the velocity that the bag needs to leave the hand with to be able to make it to the center of the hole? What are the maximum and minimum velocities to land the bag on the board? Assume the bag does not slide. The front edge of the board is 3 inches from the ground, the total board length is 48 inches, and the board is angled 11° from the ground. What is the force on the board as the bag hits it at the maximum velocity if the time of interaction is 0.1 second? 30° f? int K 4 ft L 9 in 11° 28 ft

Answer 1

Solution Given data. The time t=3seconds. angle 3 The tog is released at an The front edges of the boood The total board length 2 - The board & The time att angle is = 11 interaction = o licords 40 رایگان a vertical distance During the flight bag 4(12) -q uz -9 = 39" From Newton equation of motion s= ut-yzat usin 30) (3) -39 (32 363) T Uz 94.43 f45

the The bag needs to leave the hang 94.43 ftis must be Velocity touch at B di :- Maximum velocity h-3'+48 sn 11 will make bag 11, ha 12.158" By using Equation o c {4612) – 12.158 ] (U sin 30) (3) - 5 (32-2)233) 12 Vmax = 94.61ftls Minimum velocity h=3" -44127-3) - Usin30(3) - (32-3X35? 12 Vmin = 94.1 ft/s Let; the bag Sticks to incline when it falls from impulse tromentum theelen- Fot = Dp

FXO.1 z llblvy-V;) . 94.61. yo Vi f=94.6181 0.1 F = 946. I lbs