An anti- aircraft gun barrel and carriage, excluding ammunition, together have a mass of 40,000 kg. The gun fires a shell of mass 80 kg with a velocity of 350 ms-1. The gun cylinders exert a total recoil force of 665 KN. Calculate: i) The velocitywith which the gun begins to recoil, ii) The distance travelled by the gun on recoil: a) using NewtonΓ’ΒΒs Second Law and suitable Kinematic relationships, and b) using an energy method. iii) The recoil time. Q4. The position of a particle moving along a horizontalline is given by the equation x = 4t3 – 24t2 + 36t + 4. where x is the distance in meters from the origin to the right of the origin. Determine: (a) the times when the velocity is zero, and (b) the acceleration when t = 1.5 s. Also (c) Sketch the displacement-time,velocity-time and acceleration-time graphs between t = 0 s and t = 4 s. Q5. A cricket ball of mass 250 g is thrown with an initial velocity of 16 ms-1 at an angle ? to the horizontal. When the ball reaches its maximum height, its kinetic energy is 16 J. Calculate: i. the maximum height achieved by the ball from its point of release, ii. the initial vertical velocity of the ball, iii. the value of ?, iv. the speed of the ball after 1.0 s, v. the displacement of the ball after 1.0 s, vi. how long after the ball is thrownwill it return to the ground? and vii. the horizontal distance that the ball will travel during its flight. Need the above answered within the next few hours. If you can help please let me know.
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