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A skydiver will reach a terminal velocity when the air drag equals their weight. For a skydiver with high speed and a large body, turbulence is a factor. The drag force then is approximately proportional to the square of the velocity. Taking the drag force to be
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- (a) Calculate the retarding force due to viscosity of the air layer between a cart and a level air track given the following information: air temperature is 20°C, the cart is moving at 0.400 m/s, surface area is 2.50102 m2, ad thickness of air layer is 6.00105 m. (b) What is the ration of this force to the weight of the 0.300-kg cart?arrow_forwardThe drag force, D, on a plate moving with a velocity of (40.0 ± 0.2) km/h through air of density p = ( 1.200 ±0.010) kg/m3, with a surface area of (100.00 ± 0.5mm) x (30.00 ± 0.05cm) is given by D = Cd p AV² where Ca= 2.1 is a non-dimensional constant. What is the drag force D? 30.00 cm 100.00mm O D = 9.33 ± 0.233 N D = 8.9±0.2kg D =0.89±0.22 N D = 9.33 ± 2.33 x 101 N D = 9.3 ± 0.2 Narrow_forwardAn object of mass 125 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling the 1 object down, a buoyancy force of 40 times the weight of the object is pushing the object up (weight = mg). If we assume that water resistance exerts a force on the object that is proportional to the velocity of the object, with proportionality constant 20 N-sec/m, find the equation of motion of the object. After how many seconds will the velocity of the object be 50 m/sec? Assume that the acceleration due to gravity is 9.81 m/sec². Find the equation of motion of the object. x(t) =arrow_forward
- A balloon filled with helium gas has an average density of ρb = 0.39 kg/m3. The density of the air is ρa = 1.23 kg/m3. The volume of the balloon is Vb = 0.045 m3. The balloon floats upward with acceleration a. a.) Express the acceleration of the balloon a in terms of the variables given in the problem statement, assuming upwards is the positive direction. b.) Calculate the numerical value of a in m/s2.arrow_forwardA balloon filled with helium gas has an average density of ρb = 0.31 kg/m3. The density of the air is about ρa = 1.23 kg/m3. The volume of the balloon is Vb = 0.075 m3. The balloon is floating upward with acceleration a. Calculate the numerical value of F in N.arrow_forwardThe maximum ('terminal') velocity, vt, that a falling object achieves depends on its mass m, the acceleration g due to gravity, the density p of the air, the object's frontal area A, and the object's drag coefficient C, which is a dimensionless quantity. The equation for the terminal velocity is: 2mg V = pCA Part (a): A skydiver jumps out of an airplane (regrettably) without his parachute. To slow his descent, he orients himself in a 'spread eagle' position, thereby increasing his area A to 0.70 m?. His drag coefficient Cis 1.0, which is a unitless quantity. Calculate his terminal velocity in m/s if his mass is 85 kg, the air density p is 1.21 kg/m3, and the constant g is 9.80 m/s?. Show your work, and ensure that each numeric value has the appropriate units. Your answer should be rounded to the appropriate number of significant digits. Part (b): Convert the answer from part (a) to miles per hour using the dimensional analysis method we reviewed in class. Show your work, and ensure…arrow_forward
- A balloon is filled with 400 m3 of helium. How big a payload can the balloon lift? (The density of air is 1.29 kg/m3; the density of helium is 0.18 kg/m3.) 111 kg 129 kg 215 kg 444 kgarrow_forwardConsider an airplane with a total wing surface of 100 square meters (m2). At a certain speed the difference in the air pressure below and above the wings is 5% of atmospheric pressure. What is the lift force on the airplane in units of kN (kilo Newtons)? kN Use 100 m2 100 kPa for the atmospheric pressure. %3Darrow_forwardAfter completing your physics class, you are hired to help design a cigar lounge in a nightclub. The ventilation system is critical to this design, as it must circulate all the air in the room every 27 min to filter and purify it, respecting national health regulations. The ventilation ducts you will use have a square cross-section. If the lounge has a volume of 184 m3, and the fans pushing the air give you an airspeed of 3.9 m/s inside the ducts, what must be the minimum length of one side of the square duct? Assume that air can be treated as an incompressible fluid. Give your answer in metresarrow_forward
- Please add the solution to the problemarrow_forwarda. A vernier caliper was used for taking the diameter of a sphere of unknown material. The radius measured is 2.56 cm and the mass of the spherical object is 150 grams. What is the density of this object in g/cc? b. A ball of mass m1 and a block of mass m2 are attached by a lightweight cord that passes over a frictionless pulley of negligible mass, as shown in the figure. The block lies on a frictionless incline of angle theta. If theta becomes zero, what will happen? CHOICES: - The acceleration will be reversed in direction. - The velocity of m2 will keep on going. - m1 will start to move upward. - Nothing will change to the acceleration of the system. c. s = 0.5*a*t^2 is a kinematic equation used to solve acceleration. What can we say about the initial velocity of the body when we use this equation? d. Using kinematics and dynamics equation used in the experiment, derive an expression to solve the time it takes for the heavier mass to reach the ground. e. If the string…arrow_forwardA skydiver weighing 65 kg jumps out of a helicopter hovering at a height of 3 kilometers. Assume a cross-sectional area of 0.5 square meters. After thirty seconds of free fall, the skydiver deploys the parachute and the cross-sectional area becomes 40 square meters. Reproduce the model for the skydiver in Excel or VenSim. In VenSim you may have to make At quite small in order not to throw an error. Because you reach terminal velocity relatively quickly your answer should not be particularly sensitive to the value of At you choose. What is the skydiver's terminal velocity without the parachute? meters/second What is the skydiver's terminal velocity with the parachute? meters/secondarrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
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