Classical Mechanics Answers

as two boats approach the mariner the velocity of boat 1 relative to boat 2

obtain the equation of motion for Foucault pendulum

Rocket taxis of the future move about the solar system at half the speed of light. Drivers receive $100.00 per hour as measured by clocks in the taxis. The taxi drivers’ association demands that the pay be based on earth time instead of the taxi time. If their demand is met, by what fraction will their wages change? Would this be beneficial for them or not?

Supposed a truck, 10 - m long travels at a speed of 2.5 x 108 m/s relative to two observers, Ana and Marie. Both observers have a can of orange spray paint, which they fire simultaneously when the respective ends of the truck are directly in front of them. When the truck stops, Ana,

Marie and the truck driver look at the orange paint spots. How far apart are these spots? How would the truck driver interpret the same event while in the moving truck?

A 1-kilometer long train is travelling at a speed of 100 mi/hr. How long is the train as observed by a passenger who was left standing on the platform? Is length contraction observed? Explain your answer briefly.

Assuming that you are moving with a constant speed of 0.65c when you passed by a man on

the sidewalk who started looking at his watch. From your observation, it took him 5 seconds to

look at his watch then look up. How much time elapsed in the man’s frame?

A train is scheduled to travel with a velocity of 72 kmh-1 in a certain limit of its route. Due to renovation the

train had to travel 1km of the above limit with a velocity of 9 kmh-1.If the train travelled 1575m while

reducing velocity from 72 kmh-1to 9 kmh-1 and 3150m while increasing velocity from 9 kmh-1 to 72 km h-1

, how late will the train be?

Two forces F1 and F2 are acting on an object F1 =80N acting at bearing of 45° and F2 =60N acting S 45° W

Consider a fever thermometer that contains 0.01 cm³ of mercury, Find the diameter of the capillary if a 1 C° change corresponds to a level change of 0.5 cm . Assume the glass does noe expand.

How much work is done in lifting a 2-kg ball 0.5m high? Express your answer in a) joules and b) ergs.