Optics

A camera is equipped with a lens with a focal length of 30 cm. When an object 200 cm away is being photographed, what is the magnification?

Given a projectile's velocity at a certain height after release, find flight time, and maximum height attained.

A marble is fired from ground level. At a height of 9.1 m, its velocity is v=7.6 i + 6.1 j in which (i and j are unit vectors). Find the maximum height attained and the total flight time from release to impact.

A projectile fired from a tower and hits a tank on the ground. Projectile time is N seconds less than tank time. Find N.

An antitank gun with initial velocity Vo= 240 m/sec at +10 degrees is located on top of a tower 60 m above ground. A tank is initially at rest, 2200 m from the base of the tower on the level ground. At time t=0, the tank crew sees the gun and begins to accelerate at .9 m/sec^2 away from it. The gun crew waits N seconds, then f ...continues

A light plane flies northward against a crosswind to a city. Known airspeed, distance, and flight time, find wind speed.

A light plane flies with airspeed (relative to the air) of 500 km/hr. The pilot sets out to fly to a city 800 km due north and finds that the plane must be headed 10 degrees east of north to fly in a straight line to the city. She arrives in 2.0 hours. Find the magnitude and direction of the wind velocity. ATTACHMENT #1 shows k ...continues

A suspended crate initially moving downward is stopped. Find the force in the cable.

A crate whose mass is 1600 kg, suspended from a cable, is initially moving downward at 12 m/sec. It is brought to a stop in 42 m distance. Find the force in the cable. SEE ATTACHMENT #1 for a diagram showing known parameters.

A force applied at an angle slides a crate across a level floor. Find the maximum force which can be applied and the resulting acceleration.

A box whose mass is 5 kg is on a frictionless horizontal surface. A force P is applied to the box in a direction 25 degrees above horizontal. PART a. Find the maximum value of P for which the box stays in contact with the floor. PART b. Find the acceleration when this force is applied. SEE ATTACHMENT #1 for a diagram showing ...continues

A person and cage are suspended from a pulley system. Find the force he exerts on the rope to move upward.

A man sitting in a cage is connected to a pulley system of three movable and one fixed pulley in the system shown in ATTACHMENT #1. He pulls down on a rope as shown, to raise himself and the cage. The man and cage have a total weight of 639 nt. Ignore friction as negligible. PART a. Find the force he exerts to move upward with ...continues

A block on a plane slides down at constant speed. If it is given speed Vo up the plane, find how far up it slides.

A block slides down a plane at angle b= 25 degrees with constant speed. If given initial speed Vo= 5.4 m/sec up the plane, it slides up distance x to a stop. The coefficient of friction between block and plane is f, not zero. PART a. If given Vo up this plane, use Newton's second law to find the distance x. PART b. Find the s ...continues

A frictionless block is tied to a rough block . Find the tension in the cord when they slide down a plane.

Frictionless block M1 = 3.6 kg, is connected by a cord to block M2 = 7.5 kg. They are placed on a plane which is at angle b= 25 degrees. The coefficient of friction f = .45 between M2 and the plane. Find the tension in the cord as they slide down. SEE ATTACHMENT #1 for a diagram showing parameters.

A block of ice slides down a roof then falls to the ground. Find the distance from building to impact.

A block of frictionless ice starts from rest and slides distance x= 12 meters down a roof which is at angle b= 37 degrees. Leaving the roof at a point 22 meters above ground, it flies through the air and strikes the ground distance H from the building. Find distance H. SEE ATTACHMENT #1 for a diagram showing parameters.