Classical Mechanics Answers

Mary wants to throw a can straight up into the air and then hit it with a second can. She wants the collision to occur at height h=5.0 m above the throw point. In addition, s/he knows that she needs t1=3.0 s between successive throws. Assuming that s/he throws both cans with the same speed. Take g to be 9.81 m/s2.

A body holds one end of a rope of length l and the other end is fixed to a thin pole of radius r (r<<l) keeping the rope taut the body goes around the pole causing the rope to get wound around the pole. Each round takes 10 second. What is the speed (in units of s^-1) with which the body approaches the pole?

Here is a homework question I had:

A dump truck, whose bed is made of steel, holds an old steel watering trough. The bed of the truck is slowly raised until the trough begins to slide. Steel on steel static friction is .8 and kinetic is .6. What is the acceleration of the trough as it slides down the truck bed?
Express your answer with the appropriate units.

Mars has a radius of about 0.38 Earth radius and a mass of only 0.11 Earth mass. Estimate the acceleration due to gravity on Mars.

A particle of mass m is attached to a fixed point by massless inextensible string of length a and moving under uniform gravity. The system in short is spherical pendulam. Find out the Hamiltonian and Hamilton's equation.

A rocket fired straight up with a given velocity travels a certain distance and then it’s engine stops. I have to calculate how much distance it travels further and how much time it stays in air. My question is, after the engine stops, does it’s acceleration become g or -g ?

A sphere of radius R is supported by a rope attached to the wall .The rope makes an angle 45 with respect to walk. The point wherecsphere touches wall is 3R/2.Then Mon coefficient of friction

At t = 0, one toy car is set rolling on a straight track with initial position 14.5 cm, initial velocity -4.5 cm/s, and constant acceleration 3.00 cm/s2. At the same moment, another toy car is set rolling on an adjacent track with initial position 11.0 cm, initial velocity 5.70 cm/s, and constant zero acceleration.
(d) What are their locations at that time? (If there is only one position, enter NA in the second blank. If there are two positions, enter the smaller position first. If they never pass, enter NA in both blanks.)

Two equal forces have the square of their resultant equal to three times their product. Find the angle between them.

Need to know why do we take the negative angle from the y-axis(60degrees) instead of positive angle from x-axis(30degrees) . Example: tan(-60) = Velocity in Y-axis / Velocity in X-axis.