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**Unformatted text preview: **shin (ns22684) – Homework 5 – Spurlock – (41003) 1 This print-out should have 39 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A plane designed for vertical takeoff has a mass of 8 . × 10 3 kg. Find the net work done on the plane as it accelerates upward at 1.6 m/s 2 through a distance of 33.5 m after starting from rest. Answer in units of J. 002 (part 1 of 2) 10.0 points A force vector F = F x ˆ ı + F y ˆ acts on a particle that undergoes a displacement of vectors = s x ˆ ı + s y ˆ where F x = 1 N, F y =- 2 N, s x = 5 m, and s y = 1 m. Find the work done by the force on the particle. Answer in units of J. 003 (part 2 of 2) 10.0 points Find the angle between vector F and vectors . Answer in units of ◦ . 004 10.0 points A crate is pulled by a force (parallel to the incline) up a rough incline. The crate has an initial speed shown in the figure below. The crate is pulled a distance of 9 . 47 m on the incline by a 150 N force. The acceleration of gravity is 9 . 8 m / s 2 . 1 3 k g μ = . 2 8 9 1 5 N 1 . 2 4 m / s 21 ◦ What is the change in kinetic energy of the crate? Answer in units of J. 005 10.0 points A projectile of mass 0 . 268 kg is shot from a cannon, at height 6 . 7 m, as shown in the figure, with an initial velocity v i having a horizontal component of 6 . 9 m / s. The projectile rises to a maximum height of Δ y above the end of the cannon’s barrel and strikes the ground a horizontal distance Δ x past the end of the cannon’s barrel. Δ x v i 5 1 ◦ Δ y 6 . 7m Find the magnitude of the velocity vector when the projectile hits the ground. The acceleration of gravity is 9 . 8 m / s 2 . Answer in units of m / s. 006 10.0 points A 12 g bullet is accelerated in a rifle barrel 90 . 6 cm long to a speed of 1060 m / s. Use the work-energy theorem to find the average force exerted on the bullet while it is being accelerated. Answer in units of N. 007 10.0 points A 1 . 4 × 10 3 kg elevator carries a maximum load of 784.6 kg. A constant frictional force of 3 . 3 × 10 3 N retards the elevator’s motion upward....

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