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 fires a projectile which hits the tank. SEE ATTACHMENT #1 for a diagram showing known parameters. Find the value of N in seconds.

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 known parameters and vector polygon required.

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.