Suppose that you are designing a parachute so that the terminal velocity using the parachute will be the same as the velocity at the end of a normal (frictionless) jump from a height of 2.80 m. If the parachute exerts a drag force of - b v where v is in meters per second and if the parachute is designed for an 70.0 kg person, what is b?
Suppose that you are designing a parachute so that the terminal velocity using the parachute will...
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Problem 3: Terminal velocity A hailstone of mass m = 6 x 10-4 kg falls under the effect of gravity. It also experiences a drag force of magnitude FD = nu?, where v is the hailstone's velocity and the coefficient 7 for the particular hailstone under consideration is equal to n= 3 x 10-5 kg/m. (a) Calculate the terminal velocity of the hailstone. (b) If the hailstone falls...
You go skydiving. Unfortunately, your parachute doesn't open. To try slow yourself down you spread your arms and legs out, so that your effective size becomes like a rectangle of height 1.8 m and width of 0.5 m. What is your terminal velocity if you have a mass of 65 kg? (Hint: set drag coefficient, C=1) a) 15mph b) 98 mph c) 76mph
A 82 kg person has his center of gravity 1.0 meters above the ground in a standing position (height that person comes off the ground during a jump). During a squat jump, he crouches down so that his centre of gravity is 0.3 meters above the ground. As he jumps, he exerts an average force of 1258 Newtons against the ground. You can think of this average exerted force as the average normal force or average ground reaction force being...
The mass density of air on Mars is ρ=0.016 kg/m3. The gravity on Mars is gMars= 3.7 m/s2. The mass density of air on earth under standard pressure and temperature conditions is ρ=1.225 kg/m3. A NASA mars probe weighs 1000 N on Earth. At terminal velocity, the weight of a falling object is equal to the drag force. Assume that the drag coefficient of the parachute used is constant, and has the same value on both Earth or Mars, and...
Chapter 5, Section 5.4, Question 042 If you jump out of an airplane and your parachute fails to open, your downward velocity (in meters per second) t seconds after the jump is approximated by v (t) = 49 ( İ-(0.8187)' ) . (a) Write an expression for the distance you fall in T seconds (b) If you jump from 4400 meters above the ground, estimate, using trial and error, how many seconds you fall before hitting the ground. Round your...
(b) An asteroid of mass M falls through the Earth's atmosphere and reaches terminal velocity. Assume that the atmosphere is a turbulent fluid, so that a drag force is exerted on an object moving at velocity v. The quantity b is a constant. You can assume that the motion is sufficiently close to the Earth that the acceleration due to gravity is constant. (i) Explain what you understand by "turbulent flow" 121 (ii) Use Newton's Second Law to determine an...
c. It has tangential (linear) acceleration that points in the same direction as the velocity, and a decreasing centripetal acceleration d. It has tangential (linear) acceleration that point opposite the velosity, and a constant centripetal acceleration QUESTION 3 A 53.5 kg parachutist jumps from an airplane and falls to Earth with a drag force proportional to the square of the speed, R-CV. Take C -0.220 kg/m (with the parachute closed) and C - 22.0 kg/m (with the chute open). What...
Calculate the terminal velocity for a pollen grain falling through the air using the drag force equation. Assume the pollen grain has a diameter of 7 µm and a density of 0.3 g/cm3. If this grain is released from the top of a tree (height 11 m), estimate the time it will take to fall to the ground. Hint: The pollen grain will reach its terminal velocity very quickly and will have this velocity for essentially the entire motion. Your...
A window washer pulls a rubber squeegee down a very tall vertical window. The squeegee has mass 150 g and is mounted on the end of a light rod. The coefficient of kinetic friction between the squeegee and the dry glass is 0.790. The window washer presses it against the window with a force having a horizontal component of 3.00 N. If she pulls the squeegee down the window at constant velocity, what vertical force component must she exert? The...
A 50kg skydiver jumps out of an airplane. We assume that the forces acting on the body are the force of gravity and a retarding force of air resistance with direction opposite to the direction of motion and with magnitude cv^2 where c=.1275 kg/m and is the velocity of the skydiver at time t (and upward is positive velocity). The gravitational constant is 9.8 m/s^2 . a) Find a differential equation for the velocity. b) Determine the terminal velocity in...