Calculating the reading on a scale.

A chain of mass M and length l is suspended vertically with its lowest end touching a scale. The chain is released and falls onto the scale. What is the reading of the scale when a length of chain, x, has fallen? (Neglect the size of individual links)

Using Hooke's Law and velocity to calculate compression.

A 2100.00 kg car moving at 27.50 m/s hits an initially uncompressed horizontal spring with spring constant of 1.60à—10^6 N/m. What is the maximum compression of the spring? (Neglect the mass of the spring)

Energy conservation using centripetal motion.

A roller coaster has an initial speed of 9.50 m/s at the top of the first hill, which is 44.00 m above the ground. Neglecting friction, what will be the speed of the roller coaster at the top of the next hill, which is 26.00 m above the ground?

Interaction between two atoms

A commonly used potential energy function to describe the interaction between two atoms is the Lennard-Jones potential U=e((Ro/R)^12-2(Ro/R)^6) a) Show that the radius at the potential minimum is Ro, and that the depth of the potential well is e. b) Find the frequency of small oscillations about equilibrium for 2 identi ...continues

Calculating the gravitational energy of a beat and its velocity.

A bead of mass, m, slides without friction on a smooth rod along the x-axis. The rod is equidistant between two spheres of mass M. The spheres are located at x=0, y= +a and x=0, y=-a, and attract the bead gravitationally. a) Find the potential energy of the bead. b) The bead is released from at x=3a with velocity Vo toward ...continues

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 ...continues

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 colli ...continues

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 co ...continues