A rope hanging through a hole

A rope of mass, M and length L lies on a frictionless table, with a short portion, Lo, hanging through the hole. The rope is initially at rest. a) Find a general equation for x(t), the length of the rope throught the hole. b)Evaluate the constants A and B so that the intial conditions are satisfied.

Water shot out of fire hydrant

Water shoots out of a fire hydrant having nozzle diameter D wiht nozzle speed Vo. What is the reaction force on the hydrant?

Rocket terminal velocity

A rocket ascends from rest in a uniform gravitational field by ejecting exhaust with constant speed u. Assume that the rae at which mass is expelled is given by dm/dt=ym, where m is the instantaneous mass of the rocket and y is a constant, and that the rocket is retarded by air resistance with a force of mbv, where b is a consta ...continues

Calculating the tension of a rope that is attached to a block.

A uniform rope of mass m and length l is attached to a block of mass M. The rope is pulled with force, F. Find the tension at distance x from the end of the rope. Neglect gravity.

Working with uniform acceleration and the collision point between two players.

There are two football players standing 48 meters apart (player A and player B). They start running towards each other. Player A acceleration is 0.5 m/s2 and player B acceleration is 0.3 m/s2. How much time passes before each player collides with each other? When they collide how far has the first player(player A) trave ...continues

Initial speed of a rock on Planet Glob

The small planet "Glob" has a mass of 6.40à—1018 kg and a radius of 6.10à—104 m. An astronaut on the surface of Glob throws a rock straight up. The rock reaches a maximum height of 1.30 km above the surface of the planet before it falls back down. What was the initial speed of the rock as it left the astronaut's hand? (ignore ai ...continues

Calculating the contact force on two blocks.

Two blocks are in contact on a frictionless table. A horizontal force F is applied to M2, as shown. If M1 = 1.81 kg, M2 = 3.26 kg, and F = 5.50 N, find the size of the contact force between the two blocks. (Block M1 is touching block M2, sitting on a table.)

turntables

Shown from the top view are six blocks that are sitting at rest on rotating turntables. All of the turntables have the same rotation rate (i.e. same frequency). The masses of the blocks and how far out from the center they sit varies. The specific values are given in the figures. Which of the following statements are true abo ...continues

scales

The figures depict situations where a person is standing on a scale in eight identical elevators. Each person weighs 600 N when the elevators are stationary. Each elevator now moves (accelerates) according to the specified arrow that is drawn next to it. In all cases where the elevator is moving, it is moving upward. Which of ...continues

blocks and ropes

The eight figures show various situations where blocks of different weights are attached by ropes to rigidly fixed objects or to other blocks, which are attached to fixed objects. The situations differ in a number of ways, as the figures show, but all situations represent static equilibrium (i.e. nothing is moving). The weights ...continues