Two Masses, a Pulley, and an Inclined Plane

Please do not place your response in a .pdf format, but Word documents are okay. Thanks! Please see attached for actual problem.

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1. An overhead projector with a lens of 35.6-cm focal length is used to throw an image on a screen 1.80 m away. If you consider the lens to be a thin lens, how far is the slide from the lens when the image is in focus? What is the magnification in this setup? Work this problem by ray tracing? 2. Work Problem 1 using the thin- ...continues

Mechanical Work

Please do not include your response in a .pdf format, but Word documents are acceptable. Thanks! NOTE: Use the local value of g as 9.809. 1.) You and your roommate are dragging an exercise machine (mass 58.9 kg) down a 73.4 meter long hall, from the stair landing, where (because of union rules) the UPS driver left it, to yo ...continues

How much work is done?

2.) Your new exercise machine involves lifting weights a standard height of 52.0 cm. a) How much work do you do if you lift 37.8 kg? (in J) Exercise requires a food input about four times your mechanical work output (in other words, about 25% efficiency). A "food calorie" is actually 1000 standard calories and a standard ...continues

A partially inelastic collision

3.) A car of mass 1148 kg has kinetic energy of 117 kJ. The driver sees a stalled SUV of mass 2700 kg blocking the intersection. Because he is having a bad hair day, the driver plows into the SUV without braking. The two vehicles stick together (a perfectly inelastic collision) and slide to a stop. a) How much work is done a ...continues

Maximum acceleration

The maximum load that can safely be supported by a rope in an overhead hoist is 400N. What is the maximum acceleration that can safely be given to a 25 kg object being hoisted vertically upward?

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1. A eyeglass lens has strength of +5.50 diopters. What is the focal length of the lens? 2. A farsighted eye has a near point of 150 cm. Objects closer than 150 cm are not seen clearly. A converging lens is used to permit clear vision of a book placed 25 cm in front of the eye. Find the focal length of the lens and express its ...continues

Using Work and Energy Calculate Length of Ramp (Upward Slope and Large Coefficient of Friction)

Truck brakes can fail if they get too hot. In some mountainous areas, ramps of loose gravel are constructed to stop runaway trucks that have lost their brakes. The combination of a slight upward slope and a large coefficient of friction in the gravel brings the truck safely to a halt. Suppose a gravel ramp slopes upward at 6.0 d ...continues

Potential Energy; Find X-Component of Force

A particle has the potential energy shown in the attached figure. What is the x-component of the force on the particle at x = 5, 15, 25, and 35 cm?

Vector Dot Product

Calculate the following the attached dot product questions. Thanks.