Show that the shortest path between two given points in a plane is a straight line, using plane polar coordinates.
Q. Bouncing a ball: Let g be the acceleration of gravity near the Earth's surface. The acceleration of gravity near the surface of the Moon is (approximately) g/6. Using the law of conservation of energy, i.e. the principle of conservation of energy, solve the following. (a) Suppose that a ball is dropped from 9 feet above
A particle, starting from point A in the drawing, is projected down the curved runway. Upon leaving the runway at point B, the particle is traveling straight upward and reaches a height of 4.00 m above the floor before falling back down. Ignoring friction and air resistance, what is the speed f the particle at point A? See at
A ball is dropped from rest at the top of a 6.10 m tall building, falls straight downward, collides inelastically with the ground, and bounces back. The ball loses 10.0% of its kinetic energy every time it collides with the ground. How many bounces can the ball make and still reach a windowsill that is 2.44 m above the grou
A 2.50 g bullet, traveling at a speed of 425 m/s, strikes the wooden block of a ballistic pendulum. The block has a mass of 215 g. (a)What is the speed of the bullet/block combination immediately after the collision. (b)How high does the combination rise above its initial position?
An electron moving in the positive x-direction is characterized by GAMMA = 1000 and BETA = 1 - 5 x 10^-7 which for this problem you can take as 1. A photon of energy hν, traveling at 45 degrees with respect to the x axis collides with the electron. The collision results in the creation of an electron-positron pair plus an
A particle of mass m moves in one dimension under the influence of a force: F(x, t) = (k/x^2)*e^(-t/T) Where k and T are positive constants. a) Compute the Lagrangian and Hamiltonian Functions b) Compare the Hamiltonian and the total energy. c) Discuss the conservation of energy for the system.
The first energy crisis in the U.S occurred in 1973. In response many new devices were created and many installed. Today, companies appear to be disinterested in energy conservation despite the rule of thumb that 50% of the energy expense can be saved with basic conservation devices. Why would companies not be interested in avoi
28-A 7.0 g bullet is fired into a 1.5 kg ballistic pendulum. The bullet emerges from the block with a speed of 200 m/s, and the block rises to a maximum height of 12 cm. Find the initial speed of the bullet? 18- A 730 N man stands in the middle of a frozen pond of radius 5.0 m. He is unable to get to the other side because o
2 stationary point charges +3.00 nC and +2.00 nC are seperated by a distance of 50.0 cm. An electron is released from rest at a point midway between the two charges and moves along the line connecting the two charges. What is the speed of the electron when it is 10.0 cm from the +3.00 nC charge?
1. If the lower layer of the liquid in the graduated cylinder is salt water, and the top half water, what conclusions can you make with respect to the density of the egg. Foe example, is the egg denser than salt water? than pure water? Why? 2. A 325gram piece of gold at 425C is dropped into 200ml of water at 22.0C. The specif
An electron is projected with an initial speed of 4.8 *10^5 m/s directly toward a proton that is fixed in place. If the electron is initially a great distance from the proton, at what distance from the proton is the speed of the electron instantaneously equal to twice the initial value?
A small steel ball is rolled down an inclined plane from a table. The inclined plane is a slotted ruler. One end of the ruler is 10cm off of the table. The ball leaves the table horizontally and lands 46cm from the table on the floor. The table is 72 cm from the ground. 1. Using projectile motion equations, determine the spee
A block of mass slides along a frictionless table with a speed of 10 m/s. Directly in front of it, and moving in the same direction, is a block of mass moving at 3.0m/s. A massless spring with spring constant is attached to the near side of (the side facing ). When the blocks collide, what is the maximum compression of th
A file is attached for the sample a mass of 0.5 kg is suspened from a spring, which stretches by 8 cm. the support from which the spring is suspended is set into siusoidal motion. with what frequency should the tip be tapped to make the strip oscillate with the maximum amplitude?
(See attached file for full problem description) 19. The graphs attached show the force acting on a particle as the particle moves along the positive x axis from the origin to x = x1. The force is parallel to the x axis and is conservative. The maximum magnitude F1 has the same value for all graphs. Rank the situations accor
39) A particle of mass m=30 g slides inside a bowl whose cross section has circular arcs at each side and a flat horizontal central portion between points a and b of length 20 cm. The curved side oft he bowl are frictionless, and for the flat bottom the coefficient of kinetic friction Mk-0.21. The particle is released from rest
1. A 0.25 kg ball is thrown straight up into the air with an initial speed of 19 m/s. Find the momentum of the ball at the following locations. (a) at its maximum height (b) halfway to its maximum height 2. A 2.75 kg steel ball strikes a wall with a speed of 10.0 m/s at an angle of 60.0° with the surface. It bounces off
1. A 5.3 g bullet leaves the muzzle of a rifle with a speed of 336 m/s. What force (assumed constant) is exerted on the bullet while it is traveling down the 0.92 m long barrel of the rifle? 2. A shopper in a supermarket pushes a loaded cart with a horizontal force of 12 N. The cart has a mass of 29 kg. (a) How far will i
1.) A box has three identical bulbs mounted on its top with the wires hidden inside the box. Initially bulb A is the brightest and bulbs B and C are equally bright. If you unscrew A, bulbs B and C go out. If you unscrew B, A gets dimmer and C gets brighter so that A and C are equally bright. If you unscrew C, A gets dimmer a
1) A 10.0 g moving to the right at 20.0 cm/s makes and elastic head on collision with a 15.0 g object moving in the opposite direction at 30.0 cm/s. Find the velocity of each object after collision. 2) a 90 kg fullback moving east with a speed of 5 m/s is tackled by a 95 kg opponent running north at 3.0 m/s. If the collis
The coefficient of restitution, e, for a ball hitting a stationary surface with a velocity v1 and rebounding with a velocity v2 is: e = - v2/v1 The value of e is positive, because v1 and v2 have opposite directions, and can be any number from 0 to 1 for a passive collision with the surface(no explosive type energy release
Two particles each have a mass of 5.4 x 10-2 kg. One has a charge of +4.8 x 10-6 C, and the other has a charge of -4.8 x 10-6 C. They are initially held at rest at a distance of 1.1 m apart. Both are then released and accelerate toward each other. How fast is each particle moving when the separation between them is one-half its
(See attached file for full problem description with diagrams) --- Question 1: A 0.20-kg billiard ball traveling at a speed of 15 m/s strikes the side rail of a pool table at an angle of 60 degree. If the ball rebounds at the same speed and angle, what is the change in its momentum? Question 2: A one-dimensional impulse f
For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.300 of Italian ham. The slices of ham are weighed on a plate of mass 0.400 placed atop a vertical spring of negligible mass and force constant of 200 . The slices of ham are dropped on the plate all at the same time
A mass sliding down an inclined plane loops into a circular path in the vertical plane. To determine the normal force on the mass at the top position in the loop.
(See attached file for full problem description)
A block is released from rest at the top of a curved-shaped frictionless wedge which rests on a frictionless horizontal surface. Its velocity at the time of leaving the wedge is known. To determine the velocity of the wedge after the block reaches the horizontal surface and the height of the wedge.
10. A small block of mass m1 = 0.480 kg is released from rest at the top of a curved-shaped frictionless wedge of mass m2 = 3.00 kg, which sits on a frictionless horizontal surface as in Figure (see attachment). When the block leaves the wedge, its velocity is measured to be v1 = 3.60 m/s to the right, as shown in Figure. (a
Two blocks are free to slide along a frictionless wooden track ABC as shown in Figure (see attachment). A block of mass m1 = 4.95 kg is released from A. Protruding from its front end is the north pole of a strong magnet, repelling the north pole of an identical magnet embedded in the back end of the block of mass m2 = 9.00 kg, i
Take g= 9.8 m/s^2. A 0.5 kg ball moving at 12 m/s collides centrally with a 0.25 kg ball moving in the opposite direction at 18 m/s. If the collision is inelastic and the balls stick together after colliding find: 1) the common velocity after impact, 2) the loss in kinetic energy in the collision, and 3) what forms d
7-58. An 80.0kg man jumps from a height of 2.50m onto a platform mounted on springs. As the springs compress, the platform is pushed down a maximum distance of 0.240m below its initial position, and then it rebounds. The platform and springs have negligible mass. A) What is the man's speed at the instant the platform is depresse