Chapter 5, Problem 5.9DOEP

What is the volume of 92.4 grams of chlorine gas that is at a temperature of 46° C and a pressure of 694 mmHg? (Chlorine, R = 62.4 L- mm Hg/mole K and MW = 70.906 g/ mol) Computation: Show your Solution A lump of ice falls from an airplane as it comes into land. If the ice hits the ground with a vertical speed of 85m/s, what was the height of the plane when the ice fell off? (Assume that friction can be ignored.)

EGMN 301 - Fluid Mechanics

2.4.20. [Level 2] A snowboarder is on the right edge of a halfpipe, just about to propel himself into the air. Imme- diately before leaving the halfpipe's edge, the snowboarder experiences a tangential acceleration of 10 ft/s? and a total acceleration of 20 ft/s?. What are his tangential speed and normal acceleration at this instant? The halfpipe has a ra- dius of 20 ft. How high does the snowboarder get in the air, and how long is he airborne? worl Triw mi uo Ду en

(III) You are lying on a beach, your eyes 20 cm above the sand. Just as the Sun sets, fully disappearing over the horizon, you immediately jump up, your eyes now 150 cm above the sand, and you can again just see the top of the Sun. If you count the number of seconds(= t) until the Sun fully disappears again, you can estimate the Earth’s radius. But for this Problem, use the known radius of the Earth to calculate the time t.

2.12 Figure P2.12 shows a two-mass translational mechanical system. The applied force fa(t) acts on mass m₁. Displacements z₁ and z₂ are absolute positions of masses m₁ and m₂, respectively, measured relative to fixed coordinates (the static equilibrium positions with fa(t) = 0). An oil film with viscous friction coefficient b separates masses m, and m₂. Derive the mathematical model of the mechanical system. fa(t) www Figure P2.12 m1 m2 Z1 k₁ www 22 Oil film, friction coefficient b

You are abducted by aliens and find yourself locked in a large room on some strange planet. To pass the time, you decide to do some experiments using a ball-and-chain that you find on the floor. You make the following estimates: m(BALL) = 7 kg , m(CHAIN) = 0.5 kg , and l(CHAIN) = 2 m . (a) When you hold the free end of the chain above your head and allow the ball to swing like a pendulum, you use your wristwatch to measure the period as T = 4 s . What is the acceleration due to gravity on this planet?(b) If the ball accidentally hits a wall, how long does it take for this jolt in the chain to travel up to your hand?

A village of Pikachu and Psyducks was hit by a horrible storm. This village is surrounded by mountains and the only way out left is to cross a river. Imagine you are an engineer in a rescue team, and your team has decided to construct a temporary bridge over the river to rescue the villagers. The two bridge stones on both sides of the river have been built, and the river is 10 meters wide. All Pikachu and Psyducks weigh 6 kg and 20 kg, respectively. a) You have selected tempered glass with a facture strength of 120 MPa that has a width of 1 meter and enough length to build the bridge. The manufacturer now awaits your decision on the thickness of the glasses. If the maximum number of Pikachu and Psyducks simultaneously on the bridge is respectively 50 and 20, what is the minimum thickness in millimeters required for the safe crossing of the villagers? (Hint, you can assume all weights only exert a single force at the center of the bridge, don’t overthink this problem!)  b) If the…

You are designing a roller coaster ride. The cars (mass m) start from rest at the top (height H) of a 45 degree incline. They pick up speed and complete the loop (diameter h). Assuming a frictionless track, how high must you build the start of the ride in order for the riders to feel wightless at the top of the loop? No values given, leave equations in terms of m, h, and H.

After years of asking, you finally were allowed to go on a joy ride in your uncle’s 1956 Mercedes-Benz 300 SL. A notable feature of this vehicle is the gullwing door design that opens from a hinge at the top of the car. Unfortunately, you are having so much fun driving the car that you end up submerged in a fresh water lake. You sink to the bottom of the lake, which has a depth of 10 m. For the sake of simplicity, you can model the door as a 1 m × 1 m square plate, inclined at 45° relative to the floor of the lake. Neglect the weight of the door and friction in the hinge. How much force will be required to open the door, assuming you push from its geometric center?