Recent content by Hoppa

ah the editing, those 0 symbol things are menat to be square root signs.

At the point of collision the line of centres of the spheres is at 45° from the y axis. The collision alters the velocities along this direction; the components perpendicular to this direction are unchanged. The equations relating velocities along the line of centres are, first the conservation...

A novelty toy has two spheres of equal mass suspended by strings of equal length and negligible mass, and arranged so that the spheres can collide head-on at the bottom of each string’s swing. One sphere is given an initial velocity u towards the other, which is at rest hanging vertically. A...

like i think i might have done somethign wrong, cause i don't know how to finish it off, with like what the cloest distance to Earth will be and whether it would hit the Earth or not.

crap the powers and some of the symbols didnt turn out to well when i copied that over

this is what i have got: Spacecraft distance of 100,000km Speed of 4km/s Perpendicular distance of 25,000km Let the mass of the asteroid be m. Its angular momentum, with respect to the centre of force, is a constant and expressed as L = r * mv This can be evaluated using values...

this is the problem which i need to solve: A space-craft is at a distance of 100; 000 km from the Earth’s centre and is moving with a speed of 4 km/s, as measured in the assumed inertial frame of the Earth, with no thrust from its engines. It is currently moving along a direction that...

and here is what I've got so far.. Initial speed = m Angle of elevation = a y = é x ù é vx ù é 0 ù | vx ô , f(t,y) = | -gvt-2vx Övx2 + vz2 | , y(0) = | m cos a | | z |...

this is the problem: A projectile is fired with an initial speed u and at an angle of elevation ®. The air resistance is known to be quadratic and the terminal velocity has a magnitude vt. Show that the equations of motion for the projectile can be cast into the form y' = f (t; y); t >=...

for the question I am meant to have done: 1. Write down the position of the mass as a function of time after all the constants, apart from constants of integration, have been calculated. 2. Obtain expressions for the constants of integration in terms of the initial conditions, which are...

ok this is what i have done so far.. and I am stuck :( also is what i doing anywhere near correct? any help would be appreciated. thanks. Mass of 2kg is attached to one end of a spring. Spring constant = 18Nm-1 Damping, linear drag constant = 20Nm-1 Equation of motion for the...

damping = y = b/2m = 20/2*2 = 20/4 = 5 s-1

natural oscillation frequency of w = (square root) k/m =18/2 =9 s-1

ok here the start of my working... the equation of motion for the damped harmonic oscillator: mx'' + bx' + kx = 0 are: m = 2 kg k = 18 Nm-1 b = 20 Nm-1

hi i have this problem that i have to solve involving a spring and a mass attached to it and damping of the spring. i will first in this first post like put down the problem, and then in further posts i will put down how i am going with the problem, eg like what i have got etc, and um well any...