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# Exam Study Guide PHYS 1441

UTA

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This 10 page Study Guide was uploaded by Tagbo Iloanusi on Friday March 18, 2016. The Study Guide belongs to PHYS 1441 at University of Texas at Arlington taught by Jonathan Asaadi in Spring 2016. Since its upload, it has received 61 views. For similar materials see General College Physics I in Physics 2 at University of Texas at Arlington.

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Date Created: 03/18/16

Problem 1 (25 pts) ●A basketball is shot from an initial height of 2.4 m with an initial speed v =013.5 m/s directed at angle q o0 31 degrees above the horizontal. (A) How far from the basket was the player (x) if he made the basket? (7 pts) (B) At what angle relative to the horizontal did the ball enter the basket? (6 pts) (C) At what distance (x) was the basketball at its maximum height? (6 pts) (D) What is the maximum height (y) the basketball achieves? (6 pts) Problem 2 (25 pts) ●You have designed a test rocket for SpaceX which is launched by accelerating up a 250 meter incline that rises 50 degrees ab2ve the horizontal. Your rocket accelerates at 1.65 m/s starting from rest. As soon as your rocket leaves the end of the ramp, the engines are designed to shut off and the rocket flies through the air only under the influence of gravity. Elon Musk wants to know the following about your design: (A) What is the maximum height your rocket will go? (8 pts) (B) How far away from the start of the ramp will the rocket land? (9 pts) (C) How long does the whole flight take (from lift off to landing)? (8 pts) s m eter 250 50 o Problem 3 (25 pts) ●You and a friend are following a treasure map which starts near an old barn. The map has you first walk south 950 m. The map then tells you to turn and walk 1.55 km 30 degrees west of north. Finally, the map instructs to walk 0.45 km, 40 degrees north of east where under foot you find the X which marks the spot. (A) To return to the old barn with your new found treasure, in what direction and how far should you walk (assuming you walk back in a straight line)? (10 pts) (B) Draw the treasure map (roughly) to scale. (5 pts) (C) While treasure hunting, if you and your friend walk at 0.5 km/h, how long does it take you to walk the directions the map instructs you and return to the old barn following the path you calculated in part (A)? (10 pts) Problem 4 (25 pts) ●The Arlington fire department is using a large tank of diameter D and height 2D. The fire hose will shoot water at 45 degrees above the horizontal. The tank is a distance of 6D from the fire hose. (A) For what range of initial s0eeds (v ) will the water enter the tank? (15pts) Give your answer in terms of D and g (g = the acceleration of gravity) (B) Repeat the above calculation, but this time assume the Arlington fire department is only a distance of 4D from the fire hose (assume everything else is the same). For what range of initial sp0eds (v ) will the water enter the tank? (10pts) 2D D e hos ie F Problem 5 (25 pts) ●A strong UT Arlington student tosses a 20 pound shot-put straight upward starting from rest. The 2 student accelerates the shot-put at 40 m/s for 60.0 cm before releasing it into the air. When released, the shot-put is 2.10 meters above the ground and headed straight up. Ignoring air resistance (A) What speed is the shot-put moving as it is released? (8 pts) (B) What is the maximum height the shot-put goes to? (8 pts) (C) How much time does the UT Arlington student have to get out of the way before the shot-put hits the top of their head which is 1.9 meters above the ground? (9 pts) 1.9 m 2.10 m Problem 6 (25 pts) ● (A) Find how many nanoseconds it takes for light to travel six feet (6 pts) (B) You are about to sell your car to a friend from Sweden. You tell him the car gets 28 mi/gal, but he wants to know how many km/L this is. Find the gas mileage in kilometers per liter (6 pts) (C) Find the vector C where C = A + B (6 pts) || A || = 5.5 || B || = 2.2 35 o o 195 (D) Assuming the orbit of the Earth around the Sun is a circular path and using the distance of the Earth to the Sun found in the front of your book, find the speed of the earth in meters per second, in kilometers per hour, and in miles per hour (you need to show your work to get credit) (7 pts) Problem 7 (25 pts) ●You and Robin Hood are in a cross-bow dueling match. Each of your crossbows launch their arrows at exactly the same initial velocity (v ) and you 0 launch your arrows from the same spot0(x = 0 m). Robin Hood goes first and aims his cross-bow 45 above the horizontal and has his arrow land 200 meters down range. Your challenge is to pick the angle above the horizontal that you should fire your cross-bow to make your arrow fall: ●(A) 60 meters in front of Robin Hood's arrow. (10 pts) ●(B) 100 meters in front of Robin Hood's arrow (10 pts) ●(C) 200 meters in front of Robin Hood's arrow (5 pts) w rr 'A ood 45 o iH o R 200 m w ro rA q = ? ## m Yu Problem 8 (25 pts) ●While on a hot air balloon ride, your balloon starts to ascend at a constant velocity of 6.5 m/s. 55 meters above the ground (while still rising) you release a sandbag over the side. ●(A) What is the maximum height that the sandbag achieves above the ground? (9 pts) ●(B) How many seconds after you release the sandbag does it hit the ground? (8 pts) ●(C) How fast is the sandbag moving when it strikes the ground? (8 pts) v 0 Problem 9 (25 pts) ● (A) Given these two equations of motion for constant acceleration: 1 v=v +at x=x +v t+ at 2 0 0 0 2 Derive an equation of motion that is independent of acceleration (does not have acceleration anywhere in the equation) (you must show your work to get credit) (8 pts) ● (B) Given: X = 9 i – 5 j Y = 4 i C = -24 i + 6 j ● Find the vector A = (X + Y) –C in (i-hat and j-- hat notation) (3 pts) ● Find the magnitude of A (3 pts) ● Find the angle A makes with the x-axis (3 pts) ● (C) Solve for x and y (8 pts) 2 18x +7y = 10 -6y + 36x = 5 Problem 10 (25 pts) ● Base jumping is when you run and jump off a very high building or cliff and then use a parachute to float back to the ground. Assume you can run at 5.0 m/s off of a cliff that is 1000 meters above the ground. Your parachute is configured to open automatically when you are 200 meters above the ground. ● (A) How long are you in free fall contemplating if you packed your chute correctly (ignore air resistance) (10 pts) ● (B) How far away from the cliff face are you when your parachute opens (10 pts) ● (C) How fast are you rushing towards the ground the moment your parachute opens (5 pts)

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