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  1. M

    Isomerization of dimethyl maleate to dimethyl fumarate

    Homework Statement Propose the mechanism through which dimethyl maleate convert to dimethyl fumarate. The Attempt at a Solution I think free radical bromination reaction plays a role here, but I'm not sure how. We first get two bromine radicals, one of which attacks the double bond in...
  2. M

    Integration word problem

    Homework Statement In a West Texas school district the school year began on August 1 and lasted until May 31. On August 1 a Soft Drink company in- stalled soda machines in the school cafeteria. It found that after t months the machines generated income at a rate of f(t) = 500t/ (5t^2 +...
  3. M

    Hemoglobin binding

    Homework Statement I was given the oxygen binding curves for human and crocodile hemoglobins, with the crocodile having a higher affinity for oxygen at p50. My questions are, 1) Crodocile hemoglobin does not bind BPG. Instead, deoxyhemoglobin preferentially binds to HCO3-. How does...
  4. M

    Hemoglobin binding

    I was given the oxygen binding curves for human and crocodile hemoglobins, with the crocodile having a higher affinity for oxygen at p50. My questions are, 1) Crodocile hemoglobin does not bind BPG. Instead, deoxyhemoglobin preferentially binds to HCO3-. How does bicarbonate binding affect...
  5. M

    Area between a function and its tangent

    Homework Statement Find the area of the region bounded by the graph of f(x) = 4x^2, the tangent line to this graph at P(2, f(2)), and the x-axis Homework Equations Integral of [f(x)-g(x) dx] The Attempt at a Solution I first tried to find the equation for the tangent line The...
  6. M

    Area between two curves

    Homework Statement Compute the area between the graphs of f(x) = 8sin(2x) and g(x) = 5sin(x)+3sin(2x) on the interval [0,pi/2] Homework Equations Area = Integral of [f(x)-g(x)]dx The Attempt at a Solution I first did f(x) - g(x) = 5sin(2x)-5sin(x)...after integrating, I got...
  7. M

    Simple Harmonic Motion

    Homework Statement I'm given the position vs. time, velocity vs. time, acceleration vs. time, and energy vs. time graphs for a simple harmonic motion, and I want to know what would happen to those graphs if air resistance is included? Homework Equations N/A The Attempt at a Solution...
  8. M

    Newton's Second Law of Rotation

    Homework Statement We have a rigid bar (length L) with an axis of rotation through the center of the bar. The bar is attached to a pulley with radius Rp at the axis of rotation. Two lead weights (mass M) can be screwed on the bar at equal distances R from the axis of the pulley. In each trial...
  9. M

    Angular frequency

    Homework Statement A uniform disk of radius 1.4m and mass 2.6kg is suspended from a pivot 0.35m above its center of mass. Find the angular frequency w for small oscillations. Homework Equations w = 2 x pi x f = sqrt (k/m) The Attempt at a Solution Is this the equation I would...
  10. M

    Amplitude of spring

    Homework Statement A block of mass 0.28kg is attached to a spring of spring constant 12N/m on a frictionless track. The block moves in simple harmonic motion with amplitude 0.2m. While passing through the equilibrium point from left to right, the block is struck by a bullet, which stops...
  11. M

    Angular Momentum of a conical pendulum

    Homework Statement A small metallic bob is suspended from the ceiling by a thread of negligible mass. The ball is then set in motion in a horizontal circle so that the thread describes a cone. Given: Length of string = 2.8m Angle between string and vertical: 21 degrees...
  12. M

    Object rolling down an incline

    Homework Statement A solid sphere of radius 20cm is positioned at the top of an incline that makes 22 degrees angle with the horizontal. This initial position of the sphere is a vertical distance 1.8m above its position when at the bottom of the incline. Moment of inertia of a sphere with...
  13. M

    Diving board question

    Homework Statement The diving board shown in figure has a mass of 35kg. O = 65kg diver [1.2m] [3.9m] O -------------------- l l A B A) Find the magnitude of the force on the support A when a 65kg diver stands at the end of the diving board. B) Find the...
  14. M

    Rotational motion of a uniform solid disk

    Homework Statement A uniform solid disk of radius 7.1m and mass 30.3kg is free to rotate on a fricionless pivot through a point on its rim. [picture: http://www.wellesley.edu/Physics/phyllisflemingphysics/107_p_angular_images/figure_9.gif] [Broken] If the disk is released from rest in the...
  15. M

    Torque on a cylindrical rod

    Homework Statement A cylindrical rod 36.4 cm long has mass 0.655kg and radius 1.1cm. A 18.5kg ball of diameter 11.4cm is attached to one end. The arrangement is originally vertical with the ball at the top and is free to pivot about the other end. After the ball-rod system falls a quarter...
  16. M

    Superposition of moments of Inertia

    Homework Statement Consider a thin rod of length L which is pivoted at one end. A uniform density spherical object (whose mass is m and radius is r = 1/6L) is attached to the free end of the rod. The moment of inertia of the rod about an end if I = 1/3 mL^2. The moment of inertia of the...
  17. M

    An object rolling along a hemispherical bowl

    Homework Statement A uniform solid sphere (moment of inertia = 2/5 mr^2) of mass 1.5kg and radius r = 0.473m, is placed on the inside surface of a hemispherical bowl of radius R = 2.77m. The sphere is released from rest at an angle of 66.9 degrees from the vertical and rolls without...
  18. M

    Another Torque Question

    Homework Statement Consider a circular wheel with a mass m, and a radius R. The moment of inertia about the center of the wheel is I = kmR^2, where k is a constant in the range between 0.5<k<1.0. A rope wraps around the wheel. A weight of mass 2m is attached to the end of this rope. At some...
  19. M

    Moments of Inertia object problem

    Homework Statement Consider 3 objects of equal masses but different shapes: a solid disk (radius R), a thin ring (radius R), and a thin hollow square (side 2R). The ring and the square are hollow and their perimeters carry all the mass, but the disk is solid and has uniform mass density over...
  20. M

    Universal Gravitation

    Homework Statement Given: The universal gravitational constant G = 6.67 E-11, the mass of the earth M = 5.98E24, and its radius R = 6.7 E6. How much work must an external force do on the satellite to move it from a circular orbit of radius 2R to 3R, if its mass is 2000kg? Answer in Joules...
  21. M

    Artificial Gravity

    "Artificial Gravity" Homework Statement A space station in the form of a large wheel, 333m in diameter, rotates to provide an "artificial gravity" of 9m/s^2 for people located on the outer rim. Find the rotational frequency of the wheel that will produce this effect. Answer in units of rpm...
  22. M

    Centripetal Motion

    Homework Statement A 33kg child stands at the rim of a merry-go-round of radius 3.66m, rotating with an angular speed of 1.2 rad/s. Find the minimum force between his feet and the floor of the carousel that is required to keep him in the circular path. Homework Equations I drew out...
  23. M

    Conical Pendulum

    Homework Statement Consider 2 conical pendulums. The first one has mass M and length L and the second has mass 4M and Length 4L. For both parts the angle theta is 33 degrees. The ratio of the tangential speeds of the two circular motions V2/V1 is? Homework Equations I know that...
  24. M

    Calculate the angle between the total acceleration

    Homework Statement A ball tied to the end of a string swings in a vertical arc under the influence of gravity. When the ball is at an angle of 23.5 degrees to the vertical, it has a tangential acceleration of magnitude gsin(theta). Calculate the angle between the total acceleration a and the...
  25. M

    Conservation of momentum on bike

    Homework Statement Tony (45kg) coasts on his bike (5kg) at a constant speed of 1 m/s, carrying a 5kg pack. Tony throws his pack forward, in the direction of his motion, at 5 m/s relative to the speed of bike just before the throw. What is the bike speed immediately after the throw...
  26. M

    Conservation of energy between the mass and the spring

    Homework Statement A 1500g mass starts from rest and slides a distance L down a frictionless 21 degrees incline, where it contacts an unstressed 60cm long spring of negligible mass. The mass slides an additional 10cm as it is brought momentarily to rest by compressing the spring of force...
  27. M

    Block going up a frictionless incline

    Homework Statement A 2.6kg block slides along a frictionless horizontal with a speed of 2.9m/s. After sliding a distance of 6m, the block makes a smooth transition to a frictionless ramp inclined at an angle of 12 degrees to the horizontal. How far up the ramp does the block slide before...
  28. M

    Hooke's Law

    Homework Statement It takes 2.11 J of work to stretch a Hooke's law spring 6.08 cm from its unstressed length. How much the extra work is required to stretch it an additional 6.93 cm? Homework Equations F = -kx, W = Fd The Attempt at a Solution I first solved for Force by...
  29. M

    Skier work physics problem

    A skier of mass 72.6 kg is pulled up a slope by a motor-driven cable. How much work is required to pull the skier 64.3 m up a 37.2 degrees slope? (assumed frictionless) at constant speed of 63.2 m/s. For this question, would I just use the equation W = 1/2 mv squared? Thank you so much!
  30. M

    Force of friction

    The board which weighs 86.5N is sandwiched between two other boards. If the coefficient of friction between the boards is 0.544, what must be the magnitude of the horizontal forces acting on both sides of the center board to keep it from slipping downward? [b]2. Force of friction =...
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