Two railroad cars, each of mass 6500kg and traveling 95 km/h collide head-on and come to rest. How much thermal energy is produced in this collision?
A particle at rest is attracted toward a center of force according to the relation F=-mk^2/x^33. Calculate the time required for the particle to reach the force center from a distance d.
SEE ATTACHMENT #1 for a diagram of parameters of the event. A spring is .66 m long when it contains no energy When a stone with mass M= 8.5 kg is placed on the spring it shortens by b= .06 m then supports the stone in equilibrium. The stone is now pushed down an additional d= .38 m. When released, the stone is projected up
An object is positioned at an initial angle on a frictionless spherical shell. It is then let go, and starts sliding on the shell. In what final angle the object will break free from the shell? the solution should be in terms of the initial angle.
SEE ATTACHMENT #1 for a diagram showing parameters. A rock starts from rest then slides distance L= 5 m down a concave hill to a point which is h= 3 m below starting point. During the slide, Q= 111 joules of heat are generated, and the final speed is V= 4.8 m/sec. PART a. Find the average friction force. PART b.
While in orbit about the earth, a space shuttle's mass is 80,000-kg and its speed is 7,900 m/s. What is its kinetic energy?
A 3,000-kg truck runs into the rear of a 1,000-kg car that was stationary. The truck and car are locked together after the collision and move with speed 9 m/s. What was the original speed of the truck before the collision?
Which has the larger linear momentum: A 2,000-kg houseboat going 5 m/s or a 600-kg speedboat going 20 m/s?
A 0.4kg ball moving with speed of 3m/sec collides with a 0.6kg mass initially at rest. If the two particles stick together during the collision, find the momentum, velocity, and kinetic energy of the system after the collision.
A small particle slides along a frictionless wire. If the particle's speed at point A is 8.85m/sec how fast is it moving at point B if it must go up a 2m incline?
A stone is dropped from a height of 100m. At what height is half of its energy potential and half kinetic? What is the speed of the stone at this height?
Approximately 4X10^9kg of matter is converted into energy each second in the sun. Find the power output of the sun.
1. A helicopter has blades of length 3.0m, rotating at 2.0rev/s about a central hub. If the vertical component of Earth's magnetic field is 5.0*10^-5T, what is the emf induced between the blade tip and the central hub? 2. A bolt of lightning depicted in a picture passes 200m from a 100-turn coil oriented as shown. If the cu
PART ONE: According to the Bohr model of the atom, an electron cannot move from a lower energy orbit into a higher energy orbit: A) abruptly B) spontaneously C) unless it gains exactly enough energy D) unless it loses exactly enough energy PART TWO: No two electrons in an atom can have the same: A) orbit
PART ONE: The heating element of an electric hot plate, 26.5 ohms resistance, is connected across a 115 V circuit. How much heat will be developed in 10.0 seconds? A) between 1000 J an 2000 J B) less than 1000 J C) between 2000 J and 4000 J D) Over 4000 J PART TWO: The power dissipated by the heating ele
Calculate the energy radiated per minute from the filament of an incandescent lamp at 2000 K, if the surface area is 5 x 10^-5 m^2 and its relative emittance is 0.85.
1) A tungsten filament has a resistance of 3 OMP at 20 degrees. When connected to a 100V power supply a current of 6.0A passes through a filament. If the filament is connected to the same power supply when it is at 2000 degrees, what will be the current through the filament and its power loss? 2) A battery whose emf i
See attached file. A cart consists of a body of mass M mounted on two uniform cylinders, each mass m, radius R. The cart is moving at velocity V at its initial location on a plane inclined at angle b. SEE ATTACHMENT #1 for a diagram showing parameters. Known values are: M=2.1 kg, m=1.8 kg, angle b= 53 degrees, V= 2.5 m/sec.
Consider two satellites, A and B, both of mass m, moving in the same circular orbit of radius r around the Earth, of mass Me, but in opposite senses of rotation and therefore on a collision course. a) In terms of G, Me, m, and r, find the total mechanical energy Ea and Eb of the two satellites plus Earth's system before col
From an inertial frame in space, we watch two identical uniform spheres fall toward one another owing to their mutual gravitational attraction. Approximate their initial speed as zero and take the initial gravitational potential energy of two-sphere system as Ui. When the separation between the two spheres is half the initial
A uniform electric field of 1.6 x 10^3 V/m and a uniform magnetic field of 3.34 x 10^-3 Wb/m^2 are parallel to each other and are acting along the Z-direction. A beam of Hydrogen ions of energy 150 eV is released in the X direction. A photographic plate is placed normal to the motion of the ions at a distance of 0.5m from the or
Calculating the energy that will make the motion circular and finding the frequency of radial oscillations.
A particle of mass m moves under as an attractive central force Kr^4 with angular momentum l. For what energy will the motion be circular, and what is the radius of the circle? Find the frequency of radial oscillations if the particle is given a small radial impulse.
A plank of length 2l and mass M lies on a frictionless plane. A ball of mass m and speed Vo strikes its end (the plank is standing vertical and the ball strikes the top from the left). Find the final velocity of the ball, Vf, assuming that mechanical energy is conserved and that Vf is along the original line of motion. b)Fin
A yo-yo of mass M has an axle of radius b and a spool of radius R. Its moment of inertia can be taken to be MR^2/2 and the thickness of the string can be neglected. The yo-yo is released from rest. a) What it the tension in the cord as the yo-yo descends and as it ascends? b) The center of the yo-yo descends distance h be
See attached file. A roll of paper towels is a uniform hollow cylinder, mass M=.75 kg, outer radius Ro=.084 m, inside radius of the hollow core Ri=.036 m. The roll is mounted on frictionless bearings. See attachment #1 for a picture showing parameters. By pulling on the paper towel with a tangential force P=.25 nt, sta
1a) A steel block with a mass of 62 kg is drawn along a horizontal surface. It is pulled by a rope that is 27 degrees above the horizontal with a 73 N force. What is the coefficient of friction? Assume the object is moving at a constant speed. 1b) A block of steel weights 1.5 ton and is allowed to fall 1.5 m on to a spike.
A spring is compressed by 0.0800m and is used to launch an object horizontally with a speed of 2.40 m/s. If the object were attached to the spring, at what angular frequency (in rad/s) would it oscillate?
A 75.0 kg skier rides a 2830 m long lift to the top of a mountain. The lift makes an angle of 14.6 degrees with the horizontal. What is the change in the skier's gravitational potential energy?
A small marble is rolling on the inside of a parabolic bowl whose surface is given by z = ®r2 in cylindrical polar coordinates. There is no friction, but the gravity is pulling down (in the negative-z direction). Consider the most general case where the marble is free to move in any direction on the surface. (a) Identify all
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.