A cannon projectile, spherical with a radius of 12.2 cm, is with a lift such that maximum range is obtained. Air resistance is neglected. The mass of the projectile is 21.9 kg and the maximum altitude the projectile reaches is 542 m. The ratio between the maximum and minimum radius of curvature of the trajectory (extremes included), is (a) 0 (b) 1.03 (c) 2.83 (d) 4.63 (e) 8.23 Justify your answer with calculations.

A cannon projectile, spherical with a radius of 12.2 cm, is with a lift such that maximum range is obtained. Air resistance is neglected. The mass of the projectile is 21.9 kg and the maximum altitude the projectile reaches is 542 m. The ratio between the maximum and minimum radius of curvature of the trajectory (extremes included), is (a) 0 (b) 1.03 (c) 2.83 (d) 4.63 (e) 8.23 Justify your answer with calculations.

Name: A cannon projectile, spherical with a radius of 12.2 cm, is with a li
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: A cannon projectile, spherical with a radius of 12.2 cm, is with a lift such that maximum range is obtained. Air resistance is neglected. The mass of the projectile is 21.9 kg and the maximum altitudethe projectile reaches is 542 m. The ratio betwee

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.62P

See similar textbooks

Similar questions

he velocity v of a falling parachutist is given by v=(g m/c)(1-e-(c/m)t) where g=9.81 m/s2. For a parachutist with a drag coefficient c=15 kg/s, compute the mass m so that the velocity is v = 36 m/s at t = 10 s. Use the false-position method to determine m to a level of es = 2%. False-position method : xr = xu - f(xu)(xl - xu)/(f(xl) - f(xu))
The collar of mass m = 2.0 kg slides on the rough horizontal shaft under the action of the force Fof constant magnitude F = 13 N but variable direction. If 0 = 0.46t, and if the collar has a speed v = 3.9 m/s to the right when e = 0, determine the velocity vz of the collar when e reaches 90°. Also determine the value of F which renders v2 = V1. The coefficient of friction is u = 0.36. Answers: If F = 13 N, v2= m/s N. If v2 = V1. F =
Page 6 of 8 6. A projectile is fired at v, = 381.0 at an angle of 9 = 66.0° with respect to the horizontal. Assume that air friction will shorten the range by 32.1%. How far will the projectile travel in the horizontal direction, R?
A projectile of mass 0.719 kg is shot straight up with an initial speed of 22.1 m/s. (a) How high would it go if there were no air resistance? (b) If the projectile rises to a maximum height of only 8.70 m, determine the magnitude of the average force due to air resistance.
A cannon fires a 0.292 kg shell with initial velocity vi = 8.2 m/s in the direction θ = 45 ◦ above the horizontal. The shell’s trajectory curves downward because of gravity, so at the time t = 0.643 s the shell is below the straight line by some vertical distance ∆h. Find this distance ∆h in the absence of air resistance. The acceleration of gravity is 9.8 m/s 2 . Answer in units of m.
A small boat is being pushed up a ramp into the back of a flatbed truck. The boat is sitting at the top of the ramp, which is located 1.4 m above the ground. The boaters think the boat is safe there, and begin to walkaway. However, they have neglected the thin layer of ice that has formed on the ramp, which is angled at 30◦ up from the ground. Neglecting the friction between the boat and the ramp, how long do the boaters havebefore the boat reaches the bottom of the ramp?
A skier is on a 25° slope and his mass is 80kg. If his constant velocity and the coefficient of kinetic friction between the ski and the snow is 9 m/s and 0.80, respectively, compute his velocity when he has skid 20m from his initial position and a drag force experienced by the skier equivalent to a magnitude of 0.6V^2.
Ball weighs 0.25 kg is thrown upward with an initial velocity of 30 m/s. Calculate the maximum height (in meter) reached by the ball if (a) air resistance is negligible (?); and (b) the air gives rise to a resisting force Fp = 0.9 (N), that opposes the velocity (?).
Consider a Falcon 9, a two-state-to-orbit launch vehicle. The take-off mass of Falcon 9 is Mto = 550,000 kg, the first stage fuel burn rate is m = 2500 kg/s over a maximum of 160 s, and constant thrust of T = 7500 kN. Making a lot of simplifying assumptions including constant gravity, no aerodynamic drag, thrust constant with altitude, we can approximate the vertical acceleration as: T-mog+mgt mo -mt Calculate the altitude (in km) at t = 135 s. ay (t)
A parachutist (mass, m = 85 kg including parachute) has an initial velocity, v0 = 52.8 ms-1, immediately after the parachute opens. The drag force provided the parachute varies as a function of velocity, such that Fd = kv2 where k = 13.7 kg/m. Calculate the time it takes in seconds for the velocity to reach half the initial velocity. What is the maximum speed (terminal velocity) in km/h of the parachutist when the parachute is open?
A spherical raindrop 2.1 mm in diameter falls through a vertical distance of 4250 m. Take the cross-sectional area of a raindrop = nr, drag coefficient = 0.45, density of water to be 1000 kg/m, and density of air to be 1.2 kg/m3. (a) Calculate the speed (in m/s) a spherical raindrop would achieve falling from 4250 m in the absence of air drag. m/s (b) What would its speed (in m/s) be at the end of 4250 m when there is air drag? m/s Additional Materials
A 4-kg projectile is fired vertically with an initial velocity of 9 m/s, reaches a maximum height, and falls to the ground. The aerodynamic drag D has a magnitude D = 0.0024 v2 where D and v are expressed in newtons and m/s, respectively. Knowing that the direction of the drag is always opposite to the direction of the velocity, determine (a) the maximum height of the trajectory, (b) the speed of the projectile when it reaches the ground.