Classical Mechanics Answers

A tugboat pulls a ship with a constant net horizontal force of 5.00 × 103 N
and causes the ship to move through a harbor. How much work is done on
the ship if it moves a distance of 3.00 km?

a particle of mass 4kg moving with a velocity of 2 m/s collides elastically with particle of mass 6kg moving with velocity of -4m/s.what is the centre of mass?

the moment of inertia of a circular disc about an axis passing through it center and perpendicular to its plane is 10kg m^2it is rotating clockwise with an angular speed 60rpm.another didc with a rotational inertia of 5kgm^2 is rotating anticlockwise with an angular speed 30rpm.at some instant this disc is dropped on top of first disc.calculate final angular speed of the system.

a proton moving with a speed of 10^6m/s collides with a second proton initial at rest.one proton emerge from the collision at the angle 30 and other 60 degree from the incident direction.calculate the speed of proton.

A launcher is used to launch a 3kg block across the floor. The launcher give the block a kinetic energy of 2.16J. The block comes to a stop after sliding 0.21m. Calculate the coefficient of friction between the block and the floor.

Density is defined as mass per unit volume. A solid cylinder has a diameter of 17.4 mm and a length of 50.3 mm. Its mass is 49 g. What is its density? Give your answer in metric tonnes per cubic metre. (The metric tonne is 1000 kg.)

Enter your answer as a number, using the appropriate number of sig figs. Do NOT include units*.

Density = _____

How many revolutions does the drive shaft of a truck engine make during its lifetime? Inputs: Let's suppose that the truck travels a million km (1 billion m) at an average speed of 80 km per hour. The engine turns at a rate of 2000 revolutions per minute. Hint: use the 'multiply by 1' technique and be careful: it's not difficult. However, there are several factors involved, so we suggest that you write your answer down formally, showing all units in the working, the way we did in the lesson.

Give your answer as a number (not a power of ten). For example, for 40 million, write 40000000. Remember to use the appropriate number of significant figures.

How much of you is not vacuum? Outside of the nucleus, an atom contains mostly empty space. Estimate the fraction of the volume of an atom that is occupied by the nucleus. Assume that a typical atom has a linear dimension of about 0.1 nm and that a typical nuclear dimension is about 1 fm. (Note that this problem introduces some new prefixes: n is nano or 10^{-9}10
−9
, p is pico or 10^{-12}10
−12
, f is femto or 10^{-15}10
−15
).

Give your answer as a power of ten. For example, enter: 10^18, or 10^-3 (for 10^{18}10
18
or 10^{-3}10
−3
).

(a) What is the approximate force of gravity on a 70-kg person due to the Andromeda galaxy, assuming its total mass is 1013 that of our Sun and acts like a single mass 2 Mly away?

Prove the relation between lagranges and poissons bracket.
(ui, uj). {ui, uk) = deljk (kronecker delta function)
Where ( ui, uj) = lagranges bracket
{ui, uk}=poissons bracket