Number 8.7 and 8.8 please and 8.3 8.3. Find the velocity and acceleration of the center of mass of a system consisting of the following twoobjects at t = 0 and 1 = 10 s.m, = 2 kg,r, = 2î + 3j + 41°km, = 4 kg,r, = 11 + 5j + 62°k%3D8.4. A projectile of mass m is fired with a velocity of 50 m/s at an angle of 60° with the horizontal. Atthe top (maximum height), it explodes into two fragments, creating an additional energy E, withthe result that one fragment is observed to be moving directly upward. What is the direction of theother fragment? Calculate the velocity of both fragments.8.5. A projectile of mass M (=m, + m2) is fired with velocity v making an angle 0 with the horizontal.At the top it explodes into two masses, m, and m,, creating an additional energy E. Show that thetwo fragments strike the ground at a distance apart equal tov sin 01+| 1/2m,m2 332System of Particles: Conservation Laws and CollisionsChap. 88.6. If a projectile explodes at the top (maximum height) with an additional energy E, under what cir-cumstances will one of the fragments land at the starting position?8.7. A fire boat draws water from a bay through a vertical inlet and sprays it out at a rate of 10 m/s. Thediameter of the nozzle of the fire hose is 20 cm. Calculate the horizontal force from the propellersnecessary to keep the boat stationary. The density of water is 1020 kg/m³.8.8. A bucket of 0.5 kg is placed on a spring scale and water is added to it from a height of 2 m at a rateof 5 ml/s. Find the scale reading as a function of time.8.9. A chain of length L and mass M is held vertically so that the bottom of the chain just touches thehorizontal table top, as shown in Fig. P8.9. If the upper end of the chain is released, determine theforce on the table top, as the function of the length of the chain above the table top, while it is falling.

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Answered: 8.3. Find the velocity and acceleration…

8.3. Find the velocity and acceleration of the center of mass of a system consisting of the following two objects at t = 0 and 1 = 10 s. m, = 2 kg, r, = 28 + 3j + 41°k m, = 4 kg, r, = ri + sj + 6rk

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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