Working with momentum conservation.

A 82 kg astronaut is space-walking outside the space capsule and is stationary when the tether line breaks. As a means of returning to the capsule, he throws his 3.1 kg wrench at a speed of 13 m/s away from the capsule. At what speed does the astronaut move toward the capsule?

Energy & centripetal force. Small mass slides down a circular surface, loses contact, and travels in free fall to ground impact.

Energy conservation, centripetal acceleration and force, and projectile. A circular pipe whose radius R= 10 m, has a frictionless surface. A small frictionless mass placed on its highest point, slides down to a point where it loses contact, then travels in free fall to impact on the ground. See the diagram in the attachment. ...continues

blocks in water

Shown below are six containers that contain various liquids. Blocks of various solids are suspended in the liquids by being hung from a string. All of these blocks are the same size, but they have different masses (labeled as M_b ) since they are made of different materials. All of the containers have the same volume of liquid, ...continues

Calculating angular acceleration.

The blades in a blender rotate at a rate of 8380 rpm. When the motor is turned off during operation, the blades slow to rest in 3.03 s. What is the angular acceleration, assumed to be constant, as the blades slow down?

Relative velocity with a boat moving on a river. Requires vector polygon solutions.

Relative Velocity Problem Consider a boat on the West bank of a river of width D=1664 meters to be at the origin of an x,y axis system with the 0° direction East along the +x axis. The river water runs South with velocity vector W= 3.9 m/sec at 270°. At coordinates (1200, -390) is a dock on an island. At coordinates (16 ...continues

sticks

Shown below are seven situations where a student is holding a meter stick at the left end at various angles. A 1.0 kg mass is hung on the meter sticks at different locations. The meterstick is held stationary in all cases. All of the meter sticks are identical, but the distance along the meter stick at which the 1.0 kg mass ...continues

fish mobile

The mobile in the figure below is in equilibrium. The object B has mass of 0.605 kg. Determine the mass of object C. Assume L1 = 28.0 cm, L2 = 7.60 cm, L3 = 13.6 cm, L4 = 5.90 cm, L5 = 16.1 cm and L6 = 5.90 cm. (Neglect the weights of the crossbars.)

springs in water

A light spring of constant k = 164 N/m rests vertically on the bottom of a large beaker of water (see Fig. a). An m = 4.63 kg block of wood (density = 630 kg/m3) is connected to the spring and the mass-spring system is allowed to come to static equilibrium (see Fig. b). What is the elongation, DeltaL, of the spring?

Finding the volume of a mass that is not submerged in an ocean.

An object with a density of 671 kg/m3 and a mass of 1723 kg is thrown into the ocean. Find the volume that sticks out of the water (use pseawater = 1024 kg/m3). Refer to the attachment below for an illustration.

Applied Mechanics Velocity

A 1 kg object is dropped from the horizontal while attached to a string 80 cm long, tied at the same height as the object. When the string is vertical after the object is dropped, the object strikes a 2 kg block on a frictionless horizontal surface. The impact is 100% elastic. What will be the velocities of both objects ...continues