A group of students launches a model rocket in the vertical direction. Based on tracking data, they determine that the altitude of the rocket was 89.6 ft at the end of the powered portion of the flight and that the rocket landed 16 s later. Knowing that the descent parachute failed to deploy so that the rocket fell freely to the ground after reaching its maximum altitude and assuming that g= 32.2 ft/s?, determine (a) the speed vị of the rocket at the end of powered flight, (b) the maximum altitude reached by the rocket. $9.6 ft (10 Points)

A group of students launches a model rocket in the vertical direction. Based on tracking data, they determine that the altitude of the rocket was 89.6 ft at the end of the powered portion of the flight and that the rocket landed 16 s later. Knowing that the descent parachute failed to deploy so that the rocket fell freely to the ground after reaching its maximum altitude and assuming that g= 32.2 ft/s?, determine (a) the speed vị of the rocket at the end of powered flight, (b) the maximum altitude reached by the rocket. $9.6 ft (10 Points)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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3
A spacecraft is placed into a polar orbit about the planet Mars at an altitude of 380 km. Knowing that the mean density of Mars is 3.94 Mg/m^3 and that the radius of Mars is 3397 km, determine the time t required for the spacecraft to complete one full revolution about Mars and the velocity with which the the spacecraft describes its orbit.
A scientist tried to launch an experimental rocket in vertical direction. The tracking device of the rocket shows the flight height is at 75 ft when its power shut down. The failure of the parachute to deploy makes the rocket fell freely to the ground after 20 seconds. Determine: (a) the velocity of the rocket when the powered flight shutdown (b) the maximum height reached by the rocket.
Collar A has a mass of 3 kg and is attached to a spring of constant 1200 N/m and of undeformed length equal to 0.5 m. The system is set in motion with r = 0.3 m, v0 = 2 m/s, and vr = 0. Neglecting the mass of the rod and the effect of friction, determine (a) the maximum distance between the origin and the collar, (b) the corresponding speed. (Hint: Solve the equation obtained for rby trial and error.)
At engine burnout on a mission, a shuttle had reached point A at an altitude of 40 mi above the surface of the earth and had a horizontal velocity v0. Knowing that its first orbit was elliptic and that the shuttle was transferred to a circular orbit as it passed through point B at an altitude of 170 mi, determine (a) the time needed for the shuttle to travel from A to B on its original elliptic orbit, (b) the periodic time of the shuttle on its final circular orbit.
B C DE PROBLEM 13.46 A small block slides at a speed v on a horizontal surface. Knowing that h = 8 ft, determine the required speed of the block if it is to leave the cylindrical surface BCD when 0 = 40°. Vc = 8.76 ft/s
8. An application to mecanics A particule r(t) of mass 1kg is moving along an horizontal straight line (positively oriented on the right). The particle is under the effect of a positive constant force F(t) = g. Knowing that the particle what initially at the origin, with negative speed -vo, find the expression of x(t) time t in terms of g and vo and find the position further on the left where the particule will be. Finally, find the expression of the time T when the particle will be back at the origin.
A ball is thrown a distance of 65 ft in 1.2 sec. Assuming that it was caught at the same level as it was thrown, (a) determine how high the ball rose in its path of motion. (b) With what velocity was the ball thrown?
(2) A 5 lb ball is attached to a 3 ft long rope and it rotates in a vertical circular path at a constant tangent velocity of 30 ft/s. (a) Determine the tension in the rope when the ball is at point A. (b) Determine the tension in the rope when the ball is at point B. B 3 ft A