A) A 12.0-g bullet is fired horizontally into a 113-g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 149 N/m. The bullet becomes embedded in the block. If the bullet-block system compresses the spring by a maximum of 76.0 cm, what was the speed of the bullet at impact with the block?

B)A 0.033-kg bullet is fired vertically at 238 m/s into a 0.15-kg baseball that is initially at rest. How high does the combined bullet and baseball rise after the collision, assuming the bullet embeds itself in the ball?

Explain and solve the following physics question.

An alpha particle with kinetic energy 14.0 MeV makes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude L=p0b, where p0 is the magnitude of the initial momentum of the alpha particle and b=1.20×10⁻¹² m . (Assume that the lead nucleus remains stationary and that it may be treated as a point charge. The atomic number of lead is 82. The alpha particle is a helium nucleus, with atomic number 2.)

1. What is the distance of closest approach? Find r. (meters)

2. Repeat for b =1.30×10⁻¹³ m. Find r. (meters)

3. Repeat for b =1.30×10⁻¹⁴ m. (meters)

A rider on a Ferris wheel shown below travels at a constant speed. Is the rider’s apparent weight of the rider greater at the top or the bottom? Explain using physical reasoning and FBDs if necessary.

Calculate the length of a Kerr cell using carbon disulphide required to produce half wave retardation for an applied voltage of 30kV. The electrodes of this cell have a separation of 1.5 cm. Is this cell practical? Repeat the calculation, this time the carbon disulphide being replaced by 4-cyanophenyl 4-pentylbenzoate. Use values given in the notes. Is this cell practical?
Carbon disulphide CS2 3.5 × 10-12 cmV-2 .
4-cyanophenyl 4-pentylbenzoate 9537 × 10-12 cmV-2 at 63.9ºC.

An elevator at the bottom of a 80 foot shaft weighs 1500 pounds. The 80 foot cable that lifts the elevator weighs 400 pounds. Assume that the cable has uniform weight over its length. Answer the following questions to calculate the work that is done to raise the elevator 50 feet up from the bottom of the shaft. (a) Write a Riemann sum that approximates the work needed to lift the 50 ft up the shaft. (b) Write and evaluare an integral to calculate the work done to raise the cable 50 ft up the shaft. (c) What is the total work required to lift the cable and elvator 50 ft up the shaft?

Create a plot comparing the force applied to an object versus the angle at which the force is applied. Alos, plate describe the graph in paragraph form.

A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 3.36 m/s. The car is a distance d away. The bear is 26.7 m behind the tourist and running at 4.51 m/s. The tourist reaches the car safely. What is the maximum possible value for d?

A circular coil (radius = 0.40 m) has 160 turns and is in a uniform magnetic field. If the orientation of the coil is varied through all possible positions, the maximum torque on the coil by magnetic forces is 0.16 Nm when the current in the coil is 4.0 mA. What is the magnitude of the magnetic field?

Consider a stationary solution of the Schrodinger Equation with positive energy E for a particle with mass m in the following one-dimensional potential: V (x) = 0 for |x| > a and V (x) = −V0 for |x| ≤ a with V0 > 0. (a) Calculate the transmission and reflection probabilities. (b) Show that the transmission probability is unity for some values of the energy.

find an equation for the range (defined as the x displacement of the projectile when it reaches y = 0) for a cannon firing from y = 0. Leave everything as variables, such as v_i for the initial velocity, and θ for the launch angle.

After you are confident in your equation you must be able to predict where the projectile will land on the first try.

1. Write out an equation that gives the horizontal position of the object as a function of time.
2. Is the total time the object spends in flight determined by what’s going on horizontally or what’s going on vertically? Come up with an expression for the total time the object spends in flight (the time it takes the object to return to the level from which it was launched), in terms of v_i and θ.
3. Substitute your expression from 2 into your equation in 1, which should produce what we call the range equation – an equation that tells you how far horizontally the object travels, in terms of v_i and θ. You may find the following relation useful: sin theta, cos theta= 1/2 sin 2theta.

Please show the steps and number it properly. Thank you for answering the question. Will definetly give a thumbs up.  

Thermodynamics

What is the difference between internal energy and enthalpy?
a. Give a definition for each quantity
b. Give an example of when focusing on internal energy would be especially relevant
c. Give an example of when focusing on enthalpy would be especially relevant.

Consider an equilateral triangle, inscribed in a circle of radius a, with a point charge q at each vertex. The electric field is zero at the center, but surprisingly there are three other points inside the triangle where the field is also zero. Where are they? Find the distance from these points to the center of the circle.

Please just get the answer to E in terms of a, x, and y. I only need you to solve up to the solution for E in terms of a, x, and y. Thank you!

Consider that you have a water park and a slide with no friction in it . Park visitors slide a vertical distance hh down the waterslide in a sitting position. When they come to the bottom of the slide, they grab a handle at the bottom end of a 5.00-m-long uniform pole. The pole hangs vertically, initially at rest. The upper end of the pole is pivoted about a stationary, frictionless axle. The pole with a person hanging on the end swings up through an angle of 70.0∘∘, and then the person lets go of the pole and drops into a pool of water. Treat the person as a point mass. The pole's moment of inertia is given by I=1/3 ML^2 , where L = 6.00 m is the length of the pole and M = 40.0 kg is its mass.

For a person of mass 70.0 kg, what must be the height hh in order for the pole to have a maximum angle of swing of 60.0∘ after the collision?

Light is incident upon air-water interface (n=1.33). Calculate the Brewster and critical angles for both internal and external reflections. In each case, distinguish between polarization modes. Calculate the reflectance and transmittance of water (as seen from air) for both TE and TM polarizations with the angles of incidence are 0, 45 and 90 degrees. Explain your findings. Calculate the reflectance and transmittance of air(as seen from water for both TE and TM polarizations with the angles of incidence are 0, 45 and 90 degrees. Explain your findings.

How can I see that the the luminosity of the sun is 3.828×1026 W by looking at the HR diagram?