Classical Mechanics Answers

The particle with mass (m)is effected by the force ( The force law : F(r)= -k/(r^2) ) at distance (d) from the center of the force.
Find time it takes until the particle falls into the center of the force.
(Question source: arya a.p. introduction to classical mechanics)

What is the coefficient of volume expansion for gases?

Two syringes of different cross sections (without needles) filled with water are connected with a tightly fitted rubber tube filled with water. Diameters of the smaller piston and larger piston are 1.0cm and 3.0 cm respectively. If the smaller piston is pushed in through 6.0 cm, how much does the larger piston move out

Find the change in volume which 1cc of water at the surface will undergo, when it is taken to the bottom of a 100m deep lake, given that volume elasticity is 22000 atm.

An apple is falling down from a height of 20m and hit a person. Assume that the mass of the Apple is 200g. The duration of impact is, 0.001sec, and the area of the bone is 1cm2. Canculate the impulsive force applied to the person

Assume that a 75kg skater on level ice has built up her speed to 3km/hr. Given the respective static and kinetic friction of steel of ice =us=0.02 and uo=0.01. How far will she coast before sliding friction dissipates her energy? Does the distance of the coasting depend on the mass of the skater? Explain why

An object of mass 1kg travels to east with a uniform velocity 2ms-1.A froce of 2N is applied on it along north direction. What's the displacement of object after 2 seconds

Problem 1: determine the tension (T1) in the rope so that the 50 lb block is on the verge of sliding up. The coefficient of static friction between the block and the plane is 0.2, and that between the rope and the drum is 0.3. Will T1 have the same value as tension T2?

An H2 molecule can be formed in a collision that involves three hydrogen atoms. Suppose that before such a collision, each of the three atoms has speed 2000 m/s , and they are approaching at 120 ∘ angles so that at any instant, the atoms lie at the corners of an equilateral triangle. Find the speeds of the H2 molecule and of the single hydrogen atom that remains after the collision. The binding energy of H2 is Δ=7.23×10−19J, and the mass of the hydrogen atom is 1.67×10−27kg.
Enter your answers numerically separated by a comma.

Circular Motion:

1) The radius of the earth at the equator is 6.4 x 10^6 m. Assume that the earth is spherical.
a) determine the instantaneous velocity of a point at the equator
b) determine the centripetal acceleration of a point at the equator

Answers:
a) 465ms-1
b) 3.4 x 10^-2 ms-2