Classical Mechanics Answers

Jake (80kg) and Mike (100kg) are standing 8 meters apart. What is the gravitational force between the two us us?

A particle of mass 'm' moves in x-y plane so that its position vector r = x_i + y_j with a parametric equation x= a cos wt, y= b sin wt, where a&b are constants, a>b and w is a positive constant. 1. Show that the force field is conservative. 2. Find the potential energy at point a&b. 3. Find the work done by the force in moving the particle from point a-b. 4. Find the total energy of the particle.

Obtain the corresponding potential energy function of the intermolecular force. 1. F(r) = -ar^-7 + br^-9. 2. at what value of 'r' will the potential energy function be minimum

A body of mass (m) falls from rest through a medium which exact a frictional drag force (bv) proportional to a applied force (f). 1. At what time does the body reach 1/e of it's terminal velocity. 2. Find its displacement. 3. Expand the displacement in power series up to t^4

A body of mass (m) falls from rest through a medium which exact a frictional drag force (bv) proportional to a applied force (f). 1. Expand the velocity in power series up to t^4

Find the center of mass of twelve identical particles

Obtain the corresponding potential energy function of the intermolecular force F(r) = -ar^-7 + br^-9

Derive the potential energy function for one dimensional motion

Sketch it graph

A batter hits a baseball so that it leaves the bat with an initial velocity of 28.0m/s at an angle of 35°. What is the maximum height, the time it is in the air, and the range?

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Anna has a vertical that is just over .5 m

1) estimate the force she exerts on the basketball court if she pushes off the ground for .3 seconds

2) compare this with the force the surface exerts on Anna

3) repeat the problem looking at the time interval when she is landing back on the floor