In February 1955, a paratrooper fell 360 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 52 m/s (terminal speed), that his mass (including gear) was 80 kg, and that the force on him from the snow was at the survivable limit of 1.2 x 105 N. (a) What is the minimum depth of snow that would have stopped him safely? m (b) What is the magnitude of the impulse on him from the snow?
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- If a 2.1 kg object is initially at rest on a frictionless, horizontal surface and subjected to a 14 N force in the positive x-direction over a distance of 3.73 meters, what will the object’s final speed be? Assume the answer in in m/s.A ball of mass 2 kilograms is loaded into a spring gun which is pointed vertically upward. At t = 0 seconds, the spring gun exerts an upward force of 100 newtons for 1 second. Assuming a drag coefficient of 0.3 kilograms per second and drag proportional and against the velocity, give a second-order equation and initial conditions for vertical position y in meters of the ball that is initially at rest. Use g = 9.8 meters per second per second and assume the initial position is 0.(d) Suppose you use a spring to launch a payload horizontally from the asteroid so that the payload ends up far from the asteroid, travelling at a speed of 3 m/s. The payload has a mass of 29 kg. If the spring is to be compressed initially an amount of 1.4 m, what stiffness \(k_s\) must the spring be designed to have? 133.2 N/m x Submit
- Consider a 5,000-kg truck moving at a speed of 60 km/h when the driver applies the brakes and the truck skids to a stop after travelling a distance of 50 m. Calculate the coefficient of kinetic friction between the truck’s tires and the pavement.You have been called to testify as an expert witness in a trial involving a head-on collision. Car A weighs 1515 lb and was traveling eastward. Car B weighs 1125 lb and was traveling westward at 43.0 mph. The cars locked bumpers and slid castward with their wheels locked for 18.5 ft before stopping. You have measured the coefficient of kinetic friction between the tires and the pavement to be 0.750. What speed (in miles per hour) was car A traveling just before the collision? (This problem uses English units because they would be used in a U.S. legal proceeding.) UF mphProblem 2: An object of mass M is hanging from a spring (with I_o =0 and a spring constant k). There is a constant force from the wind, F_wind, blowing to the right, so the mass is initially at rest, but hanging at an angle Theta from the vertical because of the presence of the wind. Suddenly, spring breaks, and the mass drops under the influence of F_wind (note F_air and F_wind are the same constant vector!) and its weight. If the object (in equilibrium before the spring breaks) is a height H above the ground, how far laterally (in the direction of the wind) does the object hit the ground, L (given theta, k, M, g, H)?
- A dated box of dates, of mass 7.1 kg, is sent sliding up a frictionless ramp at an angle of e to the horizontal. The figure here gives, as a function of time t, the component Vy of the box's velocity along an x axis that extends directly up the ramp. What is the magnitude of the normal force on the box from the ramp? (m/s) 4 2 (s) -2 Number 64.86 Unit the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work SHOW HINT e to search 林 10:44 PM ENG 4/4/2021 13 ) 16 17 tohome %23 3 7. W E R. T. 5The high-speed winds around a tornado can drive projectiles into trees, building walls, and even metal traffic signs. In a laboratory simulation, a standard wood toothpick was shot by pneumatic gun into an oak branch. The toothpick mass was 0.14 g, its speed before entering the branch was 221 m/s, and its penetration depth was 17 mm. If its speed was decreased at a uniform rate, what was the magnitude of the force of the branch on the toothpick?A pulley is attached to one end of a rough plank, which makes an angle of 34◦ with the horizontal. A box is held at rest on the plank by a string that is attached to the box and passes over the pulley. A bucket of water is attached to the other end of the string and hangs freely. The coefficient of static friction between the plank and the box is 0.8. The box remains at rest but is on the point of slipping up the plank. The bucket of water has mass 7.5 kg.Name the four forces acting upon the box and draw a force diagram showing them, including the angles that show their directions.
- he mass of a sports car is 1400 kg. The shape of the car is such that the aerodynamic drag coefficient is 0.260 and the frontal area is 2.30 m². Neglecting all other sources of friction, calculate the nitial acceleration of the car, if it has been traveling at 115 km/h and is now shifted into neutral and is allowed to coast. (Take the density of air to be 1.295 kg/m³) your response differs from the correct answer by more than 10%, Double check your calculations. m/s² Need Help? ReadCalculate the resultant ground reaction force during the inital contact phase (to the nearest whole number) given the following data vertical force Z =995 N and horizontal force X = -261 N Answer e to search E D Check C R F V Bi T G St 6 B H N J 8 M L O P₂ P ? ctri greeus / 3 pause 5°C Mostly cloudy # lock 7 home 4 Next page 1 12:15 30/11/2023 8A 2-stage rocket is fired from rest. Its acceleration data are shown in the graph below. Plot the v-t and s-t graphs describing the motion of the rocket-clearly showing the shape of the curve (or add a note) and values at inflection points. Show any calculations as well. Then find the velocity of the rocket and its elevation after 20 seconds of flight. a (m/s?) 25 18 (s) 15 20