Classical Mechanics Answers

A body of mass m falls from rest through a medium which exerts a frictional drag force bv proportional to a frictional force F. Expand the velocity in power series up to t^4, at what time does the body reach 1/e of it terminal velocity, find it displacement, expand the displacement in power series up to t^4

Tom is driving a car with a mass of 1100kg. He takes it to a racetrack to see how fast he can go around the corner. If there is a banked Curve of 25 degrees and the coefficient of friction between the car and the road is 0.6, what is the fastest Tom can travel?

Bob is riding his bike (combined mass of 90 kg) over a hill, which creates a radius of 30m. He is traveling at a speed of 4 m/s. What is the force he feels from his bike as he is going over the crest of the hill?

Bob who has a mass of 85kg holds onto a vine of a length of 8m long and jumps off a cliff. What is the tension force in the vine as Bob passes the lowest point of the circular path?

A car travels at 25 m/s along a horizontal curve of a radius of 450m. What is the minimum coefficient of friction between the tires and the road in order to not skid?

A force (-4i+2j)AND moves an object from the point p(1,3)m to the point Q(3,8) . the work done by the force is

A bullet with mass 120g hits a ballistic pendulum with mass 30kg and lodges in it. When the bullet hits the pendulum it swings up reaching the height of 0.25m. Neglecting air resistance, calculate the speed of the bullet. 

A particle is fired at 22 degrees with respect to an incline and then hits a point on the incline as label. If the initial velocity is 15 m/s, a. find the time it takes for the projectile to hit the incline plane. b. find the distance from launching point to the landing point.

Determine the magnitude and direction of the following forces in a 150N box that lies on a 30 degree inclined plane by whose coeffient of kinetic friction is 0.32

A man made satellite of mass 400 kg orbits the Earth with a radius of 8.2 x 10^6 m. Linear speed of the satellite is 6.96 x 10^3 m/s. What is the centripetal force acting on the satellite?