A luge and its rider, with a total mass of 84 kg, emerge from a downhill track onto a horizontal straight track with an initial speed of 33 m/s. If a force slows them to a stop at a constant rate of 1.1 m/s2, (a) what magnitude F is required for the force, (b) what distance d do they travel while slowing, and (c) what work W is done on them by the force? What are (d)F, (e)d, and (f)W if they, instead, slow at 2.2 m/s2?

When the three blocks in the figure below are released from rest, they accelerate with a magnitude of 0.680 m/s2. Block 1 has mass M, block 2 has 3M, and block 3 has 3M. What is the coefficient of kinetic friction between block 2 and the table?

1. Two capacitors (C₁ = 5.8 uF, C₂ = 14.3 uF) are charged individually to (V₁ = 19.5 V, V₂ = 6.9 V). The two capacitors are then connected together in parallel with the positive plates together and the negative plates together.
   Calculate the final potential difference across the plates of the capacitors once they are connected.

B. Calculate the amount of charge (absolute value) that flows from one capacitor to the other when the capacitors are connected together.

C. By how much (absolute value) is the total stored energy reduced when the two capacitors are connected?

In the MSUGRA breaking scenario, the stop particle typically appears at energies reachable at the LHC. Other sfermions, notably the partners of up, down, strange and charm are assumed to be degenerate in mass, and also heavier than the stop. Something similar holds for the stau.

Why is the third generation different in MSUGRA (not degenerate as the first two), and why is the mass hierarchy inverted wrt. the Standard Model sector (3rd generation sparticles lighter)?

(I guess these features are not neccessarily specific to MSUGRA, but might apply to more general models as well.)

In cylindrical coordinates, vector A is given as;

A = Aρρ + Aφφ + A_zz .

Vector A is a time-dependent function.

Find the components of d²A / dt² .

A wave in string of linear density 0.13 g/m is given by the equation y(x,t)=0.018 sin (5.64x-6.03 t) in SI units. Calculate the tension in the string.

Given that vector ?⃗ is 5.00 m at 37⁰ North of East, find vector ?⃗⃗ such that their sum is directed East and has a magnitude of 3.00 m. Give the result with respect to compass like how ?⃗ is specified, and with the angle less than or equal to 45⁰

Two point charges lie on the x-axis. A charge of 6 uc is at the origin and a charge -10 uc is at x=10cm.

A.) Find the magnitude and the direction of the force on the 6-uC charge.

B.) Find the mangnitude and the direction of the net electric field at a point x=4cm.

C.) Find the voltage at point x=4cm.

The milky way galaxy is a huge, flattened cloud of spiral arms radiating out from the center. Why does it hae this shape?

A small object with mass 3.70 kg moves counterclockwise with constant speed 1.70 rad/s in a circle of radius 2.80 m centered at the origin. It starts at the point with position vector 2.80î m. Then it undergoes an angular displacement of 9.20 rad. (a) What is its new position vector? m (b) In what quadrant is the particle located and what angle does its position vector make with the positive x-axis? at ° (c) What is its velocity? m/s (d) In what direction is it moving? ° from the +x direction. (e) What is its acceleration? m/s2 (f) Make a sketch of its position, velocity, and acceleration vectors. This answer has not been graded yet. (g) What total force is exerted on the object? N

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(a) For 2.92 moles of a monatomic ideal gas taken through the cycle in the figure, where V₁ = 5.00V₀ what is W/p₀V₀ as the gas goes from state a to state c along path abc? What is ΔE_int/p₀V₀ in going (b) from b to c and (c) through one full cycle? What is ΔS in going (d) from b to c and (e) through one full cycle?

1) A system of particles is known to have a total kinetic energy of zero. What can you say about the total momentum of the system?

(2) A bowling ball and a Ping-Pong ball are rolling toward you with the same momentum. If you exert the same force to stop each one, which takes a longer time to bring to rest?

(3) A cannon sits on a stationary railroad flatcar with a total mass of 1000 kg. When a 10-kgcannonball is fired to the left at a speed of 50 m/s, what is the recoil speed of the flatcar?

please explain and answer all 3

The wavelength of a nonrelativistic electron is 1.900e-6 m. How fast is it moving? Express your answer as a fraction of the speed of light, c.