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The horizontal range of a projectile is maximum when the angle of projectile is 30° (h) 45° 60° (d) 75°

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

The horizontal range of a projectile is maximum when the angle of projectile is
(а) 30°
(b) 45°
(c) 60°
(d) 75°

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1. What is the time of flight for a projectile each of these following cases? Gravity is acting in the negative y-direction. a. A ball is thrown at 25° from the horizontal. It lands at Ax = 4m, Ay = -1m. b. A ball is thrown at 45° from the horizontal. It lands at Ax = 5m, Ay = 4m. c. A ball is thrown at 75° from the horizontal. It lands at Ax = 5m, Ay = 4m. d. A person throws a ball straight upward at 4 m/s. The person catches the ball at same elevation as it was thrown.
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The figure shows three situations in which identical projectiles are launched (at the same level) at identical initial speeds and angles. The projectiles do not land on the same terrain, however. Rank the situations according to the final speeds of the projectiles just before they land, greatest first. If multiple final speeds rank equally, use the same rank for each, then exclude the intermediate ranking (i.e. if objects A, B, and C must be ranked, and A and B must both be ranked first, the ranking would be A:1, B:1, c:3). If all final speeds rank equally, rank each as '1'. (a) (b) () Situation a Situation b Situation c 1. Greatest final speed. 2. Second greatest final speed. 3. Third greatest final speed.
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Oblique Impact To analyze an oblique impact using the conservation of momentum and coefficient of restitution. When an oblique impact occurs between two smooth particles, the particles move away from each other with velocity vectors that have unknown directions and unknown magnitudes. If the y axis is within the plane of contact and the x axis is the line of impact, the impulsive forces of deformation and restitution act only along the line of impact (the x axis). Momentum of the system is conserved along the line of impact (the x axis): ∑m(vx)1=∑m(vx)2 The coefficient of restitution, e, relates the relative-velocity components of the particles along the line of impact (the x axis): e=(vBx)2−(vAx)2(vAx)1−(vBx)1 The momenta of both particles A and B are conserved in the plane of contact (the y axis) because no impulse acts on either particle in this plane. Therefore, the y component of the velocities before and after the collisions remains unchanged: (vy)1=(vy)2 As shown,…
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The spring’s stiffness coefficient is k and the unstretched length is s. A particle moves from position 1 to position 2 with the corresponding coordinate of x1 and x2. What is the work done by the spring on the particle? A. B. C. 1 2 k x 1 2 - x 2 2 D. 1 2 k x 1 - s 2 - x 2 - s 2