Q. 1 A bullet is fired with initial velocity of 100 m/s from the hill at point P at an angle of 30° with the horizontal and it strikes at 80 m lower than P. Neglecting air resistance and by using the concept of linear and curvilinear motion, find (a) the horizontal distance from the gun to the point where the projectile strikes the ground, (b) the greatest elevation above the ground reached by the projectile.

Q. 1 A bullet is fired with initial velocity of 100 m/s from the hill at point P at an angle of 30° with the horizontal and it strikes at 80 m lower than P. Neglecting air resistance and by using the concept of linear and curvilinear motion, find (a) the horizontal distance from the gun to the point where the projectile strikes the ground, (b) the greatest elevation above the ground reached by the projectile.

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

See similar textbooks

Similar questions

An aircraft flying at a height of 800m with uniform horizontal velocity of 360km/hr releases abomb which hits a target on the ground. Find (a) the time required for the bomb to reach the target, (b) thehorizontal distance of the aircraft from the target when the bomb was released (c) direction and velocitywith which the bomb hits the targ
1. A wood block of mass mw = 200 g is projected from the ground at a speed v0 = 35 m/s and at an angle θ= 50degree. When at height h = 24 m the wood block was hit by a bullet of mass mb = 25 g which was moving at vb = 220 m/s and at an angle θb = 70degree. After the collision, the bullet embedded itself in the block and move together and land at point A on the ground. Then they move on the ground that has coefficient of kinetic friction μk = 0.5 and start to compress a horizontal spring at point B. The distance between point A and B is 18 m and the spring constant k = 3×102 N/m. Right end of the spring is fixed, and all motions are confined in x-y plane. (e) Determine how much the spring will be compressed when the block-bullet system comesto a rest.
A sphered, of mass 2m, moving speed 2u on a smooth horizontal plane, collides directly with another sphere B of radius and of mass m which is moving with speed u in the opposite direction. Given that the coefficient of restitution between the spheres is ½ , findTheir speeds after the collision,The magnitude of the instantaneous impulse,The loss in kinetic energy caused by the collision,After a short interval, the sphere A is given a horizontal impulse of magnitude 7mu so that it collides again directly with sphere B. Find the speed of A and the speed of B after second impact.
A projectile is fired from the edge of a 150-m cliff with an initial velocity of 180 m/s at an angle of 30° with the horizontal. Neglecting air resistance, find (a) the horizontal distance from the cannon to the point where the projectile strikes the ground, (b) the greatest elevation above the ground reached by the projectile.
A wood block of mass mw = 200 g is projected from the ground at a speed v0 = 35 m/s and at an angle θ0 = 50º. When at height h = 24 m the wood block was hit by a bullet of mass mb = 25 g which was moving at vb = 220 m/s and at an angle θb = 70º. After the collision, the bullet embedded itself in the block and move together and land at point A on the ground. Then they move on the ground that has coefficient of kinetic friction µk = 0.5 and start to compress a horizontal spring at point B. The distance between point A and B is 18 m and the spring constant k = 3×102 N/m. Right end of the spring is fixed, and all motions are confined in x-y plane. 1.Was the collision between the wood block and the bullet elastic or inelastic? Explain quantitively. 2. Find the maximum height from the ground the block with the bullet reached. 3. How far is point A from the launch point of the wood block? 4. Calculate the velocity at which the block-bullet system lands at point A. What will be the speed of it…
A wood block of mass mw = 200 g is projected from the ground at a speed v0 = 35 m/s and at an angle θ0 = 50o. When at height h = 24 m the wood block was hit by a bullet of mass mb = 25 g which was moving at vb = 220 m/s and at an angle θb = 70o. After the collision, the bullet embedded itself in the block and move together and land at point A on the ground. Then they move on the ground that has coefficient of kinetic friction μk = 0.5 and start to compress a horizontal spring at point B. The distance between point A and B is 18 m and the spring constant k = 3×102 N/m. Right end of the spring is fixed, and all motions are confined in x-y plane. (a) Was the collision between the wood block and the bullet elastic or inelastic? Explain quantitively. (b) Find the maximum height from the ground the block with the bullet reached. (c) How far is point A from the launch point of the wood block?
A projectile is fired from a cannon with an initial velocity of 1000 m/s and at an angle of 30° from the horizontal. What distance from the cannon will the projectile strike the ground if the point of impact is 1500 m below the point of release?
A student on the ground fires a pebble from a catapult with a velocity of 30 m/s at an angle of 30° above the horizontal. If the pebble’s flight is interrupted by a vertical wall 12 m away from the student, at what height above the ground does the pebble hit the wall?
W:32) Projectile Motion >Find the total time of flight of a ball that is shot from 5 m and has a rim height of 10ft if you are5ft 6 inches tall? >Find the initial velocity and angle of the ball when a 5ft tall boy shots it from a distance of 20ftfrom the ring and have the highest point in 15 ft and the rim is 10ft above the ground? ( m/s )
A projectile is fired with an initial velocity of 800 m/s at a target B located 2000 m above the gun A and at a horizontal distance of 10000 m. Neglecting air resistance, Determine the value of the firing angle, the maximum height above the ground and the velocity and direction at B. Explain.
Rock falls can cause major damage to roads and infrastructure. To design mitigation bridges and barriers, engineers use the coefficient of restitution to model the behavior of the rocks. Rock A falls a distance of 20 m before striking an incline with a slope of α = 40o. Knowing that the coefficient of restitution between rock A and the incline is 0.2, determine the velocity of the rock right after the impact, both magnitude and angle with respect to the horizontal.
(a) Explain briefly the principle of the conservation of Linear Momentum(b) A pile driver, mass 1 tonne, falls freely through a distance of 5m before striking the pile, mass 0.5 tonnes. When the pile is nearly fally driven, the average resistance is 700kN. Determine the penetration per blow at that stage and evaluate the kinetic energy lost at impact