In February 1955, a paratrooper fell 370 m from an airplane without being able to open his chute but happened to land in snow, suffering only minor injuries. Assume that his speed at impact was 56 m/s (terminal speed), that his mass (including gear) was 61 kg, and that the magnitude of the force on him from the snow was at the survivable limit of 1.3 × 105 N. What are (a) the minimum depth of snow that would have stopped him safely and (b) the magnitude of the impulse on him from the snow? (a) Number i Units (b) Number i Units

In February 1955, a paratrooper fell 370 m from an airplane without being able to open his chute but happened to land in snow, suffering only minor injuries. Assume that his speed at impact was 56 m/s (terminal speed), that his mass (including gear) was 61 kg, and that the magnitude of the force on him from the snow was at the survivable limit of 1.3 × 105 N. What are (a) the minimum depth of snow that would have stopped him safely and (b) the magnitude of the impulse on him from the snow? (a) Number i Units (b) Number i Units

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 45P

See similar textbooks

Similar questions

An 210kg drone hits the ground at 311km/h and penetrates to a depth of 81.0cm.What was the force the ground exerted on the drone?
Consider a Boeing 747 airliner cruising at a velocity of 550 mi/h at a standard altitude of 38,000 ft, where the freestream pressure and temperature are 432.6 lb/ft2 and 390◦R, respectively. A one-fiftieth scale model of the 747 is tested in a wind tunnel where the temperature is 430◦R. Calculate the required velocity and pressure of the test airstream in the wind tunnel such that the lift and drag coefficients measured for the wind-tunnel model are the same as for free flight. Assume that both μ and a are proportional to T 1/2.
A 1.2-m-external-diameter spherical tank is located outdoors at 1 atm and 25°C and is subjected to winds at 48 km/h. Determine the drag force exerted on it by the wind.
13.79. What wing area should a plane weighing 2000 Ib have to enable it to land at a speed of 35 mph? Use max. CL = 1.50. Ans. 425 ft2
A 6.1-g bullet has a velocity of 475 m/s when it penetrates a wooden door to a depth of 3.5 cm. Assuming the frictional force that stops the bullet is constant, how long does it take from the time the bullet hits the door till it comes to a stop?
Two identical cylindrical vessels with their bases at the same level each contain a liquid of density 1.30 * 10^3 kg/m3. The area of each base is 4.00 cm2, but in one vessel the liquid height is 0.854 m and in the other it is 1.560 m. Find the work done by the gravitational force in equalizing the levels when the two vessels are connected.
When a foreign object lodged in the trachea forces a person to cough, the diaphragm thrusts upward, causing an increase in pressure in the lungs. This is accompanied by a contraction of the trachea, making a narrower channel for the expelled air to flow through. For a given amount of air to escape in a fixed time, it must move faster through the narrower channel than the wider one. The greater the velocity of the airstream, the greater the force on the foreign object. X-rays show that the radius of the circular tracheal tube contracts to about two-thirds of its normal radius during a cough. According to a mathematical model of coughing, the velocity v of the airstream is related to the radius r of the trachea by the equation v(r) = k(ro – r)r², 1 srsro where k is a constant and ro is the normal radius of the trachea. The restriction on r is due to the fact that the tracheal wall stiffens under pressure and a contraction greater than 1 is prevented (otherwise the person would…
In downhill speed skiing a skier is retarded by both the air drag force on the body and the kinetic frictional force on the skis. (a) Suppose the slope angle is u =40.0, the snow is dry snow with a coefficient of kinetic friction mk =0.0400, the mass of the skier and equipment is m =85.0 kg, the cross-sectional area of the (tucked) skier is A = 1.30 m2, the drag coefficient is C =0.150, and the air density is 1.20 kg/m3. (a) What is the terminal speed? (b) If a skier can vary C by a slight amount dC by adjusting, say, the hand positions, what is the corresponding variation in the terminal speed?
A typical jet plane travels at 247 m/s at a cruising altitude of 8380 m. The windows on a jet plane measure 0.356 m × 0.356 m. Calculate the force exerted on such a window as the plane flies at 8380 meters above the sea level. (Assume the density and pressure of air at 8380 m is 0.512 kg/m3 and 34800 Pa but the interior of the plane remains pressurized to atmospheric pressure, that is, 101325 Pa.) ______N
In testing a new material for shielding spacecraft, 126 small ball bearings, each moving ata supersonic speed of 410.1 m/s, collide headon and elastically with the material during a0.803 min interval.If the bearings each have a mass of 7.6 gand the area of the tested material is 0.77 m2,what pressure is exerted on the material?Answer in units of Pa.
Imagine a planet that has the same sea-level atmospheric pressure as on the Earth, but whose gravitational acceleration is only 0.57g. What is the minimum required height of a mercury barometer on this planet?
A spherical glass particle (SG = 2.8) is allowed to settle freely in water. If the particle starts initially from rest and if the value of Reynolds number with respect to the particle is 0.10 when it has attained its terminal velocity, what is the distance traveled in mm if it takes one-tenth of a second for the particle to reach its terminal velocity