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 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 bas hits it at the maximum velocity if the time of interaction is 0.1 second? 30 4 ft 11° 27 ft

Answer 1

Geveno t = 3800 suring the flight, bag veutical distance of covers treft 4 (12)- 9 = 39" recom 1/2 at ² newton emin of motion ! Sa ut (o fun 30) (s) – + (32-2) (3) -34 = 12 v=4th pets: 94.43 His land مد hall velocity must be 98.43 ft/ b) Marm at B. velocity will make bag touch ha ģ+ 48 Sisils 12.1558". Aqais 0 wing – 12.1583= CV ģis 30) - 54 (12) 3 {(32-2)(3) 12 va 94.608 His mov h=3" Men velocity 24012) - 34 (u sinbo)3 - '12 (23: 1)(3)? 12 Vores = 94.1 ft/s

it het the bag falls. Delm sticks to incline inpulse nanesten when theoren, F At = AP Fx0.15 lb cus-VY) い Uf =0 fthe ; vi= 94.608 ft is F = 94.608 x 1 0.1 F = 946.08 Ibe.

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