Calculating the velocity of one object given the velocity of another.

An 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?

Particle moving in one dimension acted upon by two forces

A particle of mass m moves in one dimension along the positive x axis. It is acted on by a constant force directed toward the origin with magnitude B, and an inverse square law repulsive force with magnitude A/x^2. a)find the potential energy function U(x) b)Sketch the energy diagram for the system when the maximum kinetic energy is Ko=(1/2)mVo^2. c)Find the equilibrium position Xo. d)What is the frequency of small oscillation about Xo?

True and false question on elastic collisions and changes in kinetic energy.

A rubber super ball and a lump of putty with equal mass are thrown with an equal speed against a door. The ball bounces back with the same speed with which it was thrown, but the putty sticks to the door. Which of the following statements are true? (Give ALL correct answers) A) The putty-door interaction is an elastic collision B) In the collision, the change in kinetic energy of the rubber ball is larger than the change in kinetic energy of the putty C) During the superball-door interaction, both momentum and mechanical energy are conserved D) The impulse imparted to the door by the putty is equal to the impulse imparted by the rubber ball E) In the collision, the rubber ba... click for more

Conservation of energy and of momentum when a suspended block is struck from below by a bullet.

A block of mass M= 2.5 kg is suspended in equilibrium by a long cord. A bullet of mass m= 0.055 kg, moving vertically upward with an unknown velocity v, hits the block from below. The block with embedded bullet then rises a total distance H= 1.2 meters above its initial position. Find v, the velocity of the bullet before impact.

Conservation of energy including spring PE. A mass falls onto a spring which compresses to bring it to rest.

A mass M= 2.5 kg is initially distance H= 1.8 m above a relaxed spring whose force constant k is unknown. The length of the spring is A= .84 m. The mass, released at rest, falls on and compresses the spring to final length B= .25 m in stopping. See attachment for diagram. a. By applying conservation of energy, find the force constant of the spring. b. Find the velocity of the mass as it first contacts the spring. c. Find the velocity, v, of the still moving mass when the spring has been compressed to half of its final compression.