You have a vertical metal rod, a spring with one end closed and the other end open so that it can slide down over the rod and then fly up when released, and a meter stick. The mass of the spring is 15g and its spring constant k is 6 N/m Your group decides to test the work-energy principle by stretching the spring a distance Dy = 30 cm, releasing it from rest and measuring how high it goes. Use your understanding of energy to predict how high the spring will go. Discuss what assumptions are being made in making your prediction. PLEASE INCLUDE FORCE DIAGRAM AND COORDINATE SYSTEM.

• Explain the 3 Laws of Thermodynamics in your own words. Discuss in detail systems that utilize each law.

The mean diameters of planets A and B are 9.3 × 103 km and 1.6 × 104 km, respectively. The ratio of the mass of planet A to that of planet B is 0.76. (a) What is the ratio of the mean density of A to that of B? (b) What is the ratio of the gravitational acceleration on A to that on B? (c) What is the ratio of escape speed on A to that on B?

A mass of 0.3 kg hangs motionless from a vertical spring whose length is 1.05 m and whose unstretched length is 0.40 m. Next the mass is pulled down to where the spring has a length of 1.30 m and given an initial speed upwards of 1.9 m/s. What is the maximum length of the spring during the motion that follows?

A simple harmonic oscillator consists of a block of mass 3.4 kg attached to a spring of spring constant 120 N/m. When t = 0.84 s, the position and velocity of the block are x = 0.127 m and v = 3.23 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?

A traveling wave along the x-axis is given by the following wave function ψ(x, t) = 4.5 cos(2.1x - 11.8t + 0.52),where x in meter, t in seconds, and ψ in meters. Find

a) the frequency, in hertz

b)The wavelength in meters.

c) The wave speed, in meters per second.

d) The phase constant in radians.

A particle of charge -3 C is momentarily located at the position (4,2,7) [all distances in meters]. The particle's velocity is 450i^+150j^+500k^ [in m/s] What is the magnetic field vector due to the particle at the position (8,6,7)? b.) At that same instant, a second particle of charge 11 C is momentarily located at the origin, moving along the positive x-axis with a speed of 2000 m/s. What is the total magnetic field at the target position from the previous problem?

The cubit is an ancient unit of length based on the distance between the elbow and the tip of the middle finger of the measurer. Assume that the distance ranged from 43 to 53 cm, and suppose that ancient drawings indicate that a cylindrical pillar was to have a length of 5.0 cubits and a diameter of 1.0 cubits. For the stated range, what are the lower values for (a) the cylinder's length in meters, (b) the cylinder's length in millimeters, and (c) the cylinder's volume in cubic meters? What are the upper values for (d) the cylinder's length in meters, (e) the cylinder's length in millimeters, and (f) the cylinder's volume in cubic meters?

I am having a real hard time with this. My answers are always wrong. If you can explain it to me then I will thank you.

During hand-pumped rail car races, a speed of 27.9 km/h has been achieved by teams of four people. A car that has a mass equal to 379 kg is moving at that speed toward a river when Carlos, the chief pumper, notices that the bridge ahead is out. All four people (each with a mass of 75.0 kg) simultaneously jump backward off the car with a velocity that has a horizontal component of 4.00 m/s relative to the car. The car proceeds off the bank and falls into the water a horizontal distance of 22.1 m from the bank.

a) How long is the time of fall of the rail car?

b) What is the horizontal component of the velocity of the pumpers when they hit the ground?

A 5.87-g bullet is moving horizontally with a velocity of +348 m/s, where the sign + indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as indicated in part b. Note that both blocks are moving after the collision with the bullet. The mass of the first block is 1238 g, and its velocity is +0.631 m/s after the bullet passes through it. The mass of the second block is 1623 g. (a) What is the velocity of the second block after the bullet imbeds itself? (b) Find the ratio of the total kinetic energy after the collision to that before the collision.

The second largest moon in the Solar System is Titan. It orbits Saturn at a distance of 1221.85 x 103 km from the planet. Titan’s radius is 2575 km. Titan’s mass is 1.35x1023 kg, and Saturn’s mass is 5.69x1026 kg. The gravitational constant, G=6.67x10-11 Nm2/kg2. Each problem is worth 3 points. 1. Find the force of gravity between Titan and Saturn. 2. Find the velocity with which Titan orbits Saturn. 3. What would be the acceleration due to gravity at the surface of Titan? 4. What would be the acceleration due to gravity at the surface of Saturn? 5. Find the period of Titan’s orbit – how long it takes to go around Saturn once.

Two metal disks, one with radius ?1 = 2.50 cm and mass ?1 = 0.800 kg and the other with radius ?2 = 5.00 cm and mass ?2 = 1.60 kg are welded together and mounted on a frictionless axis through their common center as shown to the right. a) A light string is wrapped around the edge of the smaller disk and a 1.50 kg block is suspended from the free end of the string. How far will the mass have to descend to give the system of disks 21.0 J of rotational kinetic energy? b) How many revolutions has the system of disks made after the mass has descended a distance of 4.00 m?

An 8.0 m, 240 N uniform ladder rests against a smooth wall. The coefficient of static friction between the ladder and the ground is 0.55, and the ladder makes a 50.0° angle with the ground. How far up the ladder can an 700 N person climb before the ladder begins to slip?
______ m

A rubber ball with a radius of 10.0 cm is uniformly charged with a charge density of p . The electric field at position “X”, 5.00 cm from the center of the ball, is pointing toward the center of the sphere with a magnitude of 2 5.00 10^2 N/ C . What is the magnitude of the electric field 12.00 cm from the center of the sphere? Neglect any dielectric effect of the rubber