Blocks A (mass 3.50 kg ) and B (mass 8.00 kg ) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 2.00 m/s . The blocks are equipped with ideal spring bumpers. The collision is head-on, so all motion before and after the collision is along a straight line. Let +x be the direction of the initial motion of block A.

Find the maximum energy stored in the spring bumpers.

Find the velocity of block A when the energy stored in the spring bumpers is maximum.

Find the velocity of block B when the energy stored in the spring bumpers is maximum.

Find the velocity of block A after they have moved apart.

Find the velocity of B after they have moved apart.

PLEASE DONT ROUND ANYTHING KEEP ALL DECIMALS

A 32.5 kg box initially at rest is pushed 4.10 m along a rough, horizontal floor with a constant applied horizontal force of 145 N. If the coefficient of friction between box and floor is 0.300, find the following.

(a) the work done by the applied force
J

(b) the increase in internal energy in the box-floor system due to friction
J

(c) the work done by the normal force
J

(d) the work done by the gravitational force
J

(e) the change in kinetic energy of the box
J

(f) the final speed of the box
m/s

Construct an energy level diagram for a doubly-ionized Lithium atom (z=3, 1 electron). What are the possible frequencies of light emitted for the electron moving around between the first three energy levels? (there are three answers)

A billiard ball of mass m = 0.25 kg strikes the cushion of a billiard table at ?₁ = 50

Circular Motion, Kinetic Energy, Work and Power

Wind energy is the fastest growing renewable energy source, the US has a goal of producing 20 percent of it’s electricity from wind by 2030. All of our energy options come with a set of pros and cons of varying degrees. One concern, which is minor unless it lands on your house, with wind turbines is ice throw off from the tips of the blade. Consider a 50 meter radius wind turbine (about 3 MW) rotating clockwise 15 times a minute with a hub height of 150 meters. Calculate the following for a 100 kg piece of ice at the tip of the turbine blade (r=50m):

a) The angular velocity of the rotating blades in radians per second, the period, or time it takes for a rotor blade to make one revolution and the frequency, or number of rotations made in one second.

b) The magnitude of the force required at the top circular path to keep the piece of ice in circular motion.

c) The magnitude of the force required at the bottom of the circular path to keep the piece of ice in circular motion.

d) The range or distance the piece of ice would travel if it was released at the highest point in the rotation. Consider clockwise rotation so the ice lands in the positive x direction.

e) The kinetic energy of the piece of ice upon release.

f) The kinetic energy of the piece of ice upon landing.

g) The work done by the gravitational force from release to landing.

h) Is this the maximum range? Is this the most likely point of release? Briefly explain your reasoning.

2. Describe the difference between a material that is strong vs. a material that is tough. Draw an example of the stress-strain curve of each.

A 9200 kg boxcar traveling at 19 m/s strikes a second boxcar at rest. The two stick together and move off with a speed of 10 m/s. What is the mass of the second car?

An LC circuit like that in the figure below consists of a 3.40-H inductor and an 850-pF capacitor that initially carries a 105-

A 1.6 kg breadbox on a frictionless incline of angle ? = 38 ? is connected, by a cord that runs over a pulley, to a light spring of spring constant k = 100 N/m, as shown in the figure. The box is released from rest when the spring is unstretched. Assume that the pulley is massless and frictionless. (a) What is the speed of the box when it has moved 10.6 cm down the incline? (b) How far down the incline from its point of release does the box slide before momentarily stopping, and what are the (c) magnitude and (d)direction of the box's acceleration at the instant the box momentarily stops?

If for some reason, an Astrophysics graduate decides to shift to Finance will he/she be in a better position (given his/her overspecialization) to make a transition compared to his/her counterparts who've been doing Analytical/Observational Astrophysics?

Part A (1.5 pts) Circle the letter of the phrase that most accurately completes the sentence.

When the current in the circuit below increases from 0.50 Io to Io the emf induced in the inductor acts in the:

1. the same direction as ?? and the energy stored in the inductor is 2x the initial value

2. the opposite direction to ?? and the energy stored in the inductor is 2x the initial value.

3. the same direction as ?? and the energy stored in the inductor is 4x the initial value.

4. the opposite direction to ?? and the energy stored in the inductor is 4x the initial value.

At what flow rate might turbulence begin to develop in a 0.280 m diameter water main? Assume a 20°C temperature and a Reynolds number of 2000. (Use 1.005 10-3 (N/m2) · s for the viscosity of water.)

I require a software to simulate Fluid simulation with the capability of supporting vacuum simulation. My requirements are that all numbers must reflect their real counterparts almost exactly. For example I need to mix Fluid, Air and Vacuum.

I have tried RealFlow but it doesn't support Vacuum.

Any body knows any software for this?

A projectile proton with a speed of 1400 m/s collides elastically with a target proton initially at rest. The two protons then move along perpendicular paths, with the projectile path at 74