You have been called to testify as an expert witness in a trial involving a head-on collision. Car A weighs 1515 lb and was traveling eastward. Car B weighs 1125 lb and was traveling westward at 41.0 mph. The cars locked bumpers and slid eastward with their wheels locked for 21.5 ft before stopping. You have measured the coefficient of kinetic friction between the tires and the pavement to be 0.750. How fast (in miles per hour) was car A traveling just before the collision? (This problem uses English units because they would be used in a U.S. legal proceeding.)
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A mountain climber jumps a 3.2m -wide crevasse by leaping horizontally with a speed of 7.1m/s . If the climber's direction of motion on landing is -45?, what is the height difference between the two sides of the crevasse?
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A rock is suspended by a light string. When the rock is in air, the tension in the string is 45.0 N . When the rock is totally immersed in water, the tension is 29.2 N . When the rock is totally immersed in an unknown liquid, the tension is 21.0 N .
What is the density of the unknown liquid?
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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?
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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?
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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?
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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.)
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In cylindrical coordinates, vector A is given as;
A = Aρρ + Aφφ + Azz .
Vector A is a time-dependent function.
Find the components of d2A / dt2 .
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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.
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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
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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.
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The milky way galaxy is a huge, flattened cloud of spiral arms radiating out from the center. Why does it hae this shape?
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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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