A railroad car of length L aned mass `m_(0)` when empty is moving freely on a horizontal track while being loaded with sand from a stationary chute at a rate dm/dt=q. knowing that the car was approaching the chute a speed `v_(0)`, determine
(a). The mass of the car and its load after the car has cleared the chute.
(b). The speed of the car at that time.

A car of maas M is moving on a horizontal circular path of radius r. At an instant its speed is v and is increasing at a rate a.

A mine car (mass = 440 kg) rolls at a speed of 0.50 m/s on a horizontal track, as the drawing shows. A 150 kg chunk of coal has a speed of 0.80 m/s when it leaves the chute. Determine the velocity of the car/coal system after the coal has come to rest in the car.

A railroad flatcar of mass M can roll without friction along a straight horizontal track. Initially, a man of mass 'm' is standing on the car, which is at rest. What is the velocity of the car if man runs to the left so that his speed relative to the car is v_(rel) .

a. A rail road flat car of mass M can roll without friction along a straight horizontal track . Initially, a man of mass m is standing on the car which is moving to the right with speed v_(0) . What is the change in velocity of the car if the man runs to the left so that his speed relative to the car is v_(rel) just before he jumps off at the left end? b. If there are n men each of mass m on the car, should they all run and jump off together or should they run and jump one by one in order to give a greater velocity to the car?

car B is twice as fast as car A. If car A covers 90 km in 2 hours, what is the speed of car B?

If x is the distance at which a car can be stopped when initially it was moving with speed u, then on making the speed of the car Nu, the distance at which the car can be stopped is

A car starts moving from rest on a horizontal circular road of radius of curvature R at . The speed of the car is increasing at a constant rate a. The coefficient of friction between the road and the tyres of the car is The car starts slipping at time t = t_(0) . Then t_(0) is equal to: