We know why a charged rod can deflect water droplets which is because of the positive side of water molecule attracting to the negative side of the rod and vice versa. While explanation is true to some extent, it is not entirely. The question is : Can you figure out what is missing (what is another reason for its deflection besides the water molecule and rod's charges? Hint we have is: Water in the pipe is not only h20
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An object 1cm tall is placed at 4cm from a convex lens with a focal length of 6cm. A convex mirror with a focal length of 4cm is situated 10cm from the convex lens. A)Using the thin lens equation calculate the location of the image. B)Describe the image using three of the following words; virtual, real , smaller, bigger, non-inverted, inverted.
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Straight wooden rod of mass 6.0 kg, uniform cross-section 7 cm2, and constant density 700 kg has a very small mass 0.8 kg attached to its one end. The rod is partially submerged in water of density 990kg/m3. While in equilibrium, the rod floats in a vertical position with large part of it submerged. The rod is then pushed down by distance ymax from equilibrium and released resulting in its oscillation neat the surface of teh water.
(Assuming no drag forces are acting in this situation) and taking g to be 9.8 m/s2
A) Use the first principles to demonstrate that such system can be treated as Simple Harmonic Oscillator. ( Paper solution!!!)
B) Find the rod's period of oscillations to the nearest thousandth of a second.
( Enter this value into the answer box without units).
In addition to entering your final numerical answer into the box, make sure that you write your solution neatly starting with the clear diagram and all variables on it.
Solve this problem in detail on paper. Please annotate your solution -- make short comments/ arguments for steps you are making.
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A force F⃗ of magnitude F making an angle θ with the x axis is applied to a particle located along axis of rotation A, at Cartesian coordinates (0,0) in the figure. The vector F⃗ lies in the xy plane, and the four axes of rotation A, B, C, and D all lie perpendicular to the xy plane. (Figure 1)
A particle is located at a vector position r⃗ with respect to an axis of rotation (thus r⃗ points from the axis to the point at which the particle is located). The magnitude of the torque τ about this axis due to a force F⃗ acting on the particle is given by
τ=rFsin(α)=(momentarm)⋅F=rF⊥ ,
where α is the angle between r⃗ and F⃗ , r is the magnitude of r⃗ , F is the magnitude of F⃗ , the component of r⃗ that is perpendicualr to F⃗ is the moment arm, and F⊥ is the component of the force that is perpendicular to r⃗ .
Sign convention: You will need to determine the sign by analyzing the direction of the rotation that the torque would tend to produce. Recall that negative torque about an axis corresponds to clockwise rotation.
In this problem, you must express the angle α in the above equation in terms of θ , ϕ , and/or π when entering your answers. Keep in mind that π=180degrees and (π/2)=90degrees
Part A
What is the torque τA about axis A due to the force F⃗ ?
Part B
What is the torque τB about axis B due to the force F⃗ ? (B is the point at Cartesian coordinates (0,b) , located a distance b from the origin along the y axis.)
Part C
What is the torque τC about axis C due to F⃗ ? (C is the point at Cartesian coordinates (c,0) , a distance c along the x axis.)
Part D
What is the torque τD about axis D due to F⃗ ? (D is the point located at a distance d from the origin and making an angle ϕ with the x axis.)
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A 2.0 kg wood block is launched up a wooden ramp that is inclined at a 29 ∘ angle. The block's initial speed is 11 m/s . The coefficient of kinetic friction of wood on wood is μk=0.200.
What vertical height does the block reach above its starting point? What speed does it have when it slides back down to its starting point?
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I'm doing this homework on relativity and I'm not very good at it. :( I keep getting things wrong or confused in my head. Please help me to understand this! Thank you in advance!
3. Person A is at rest with a light clock. Person B is in a car moving to the left (as seen by Person A with a light clock). Discuss how each person will perceive time. Use algebra to find the time measured by Person A with respect to how he or she perceives time measured by Person B.
5. The theory of relativity sets an upper limit on the speed a particle can have. Does that mean that there are also upper limits on its energy and momentum? Explain.
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Cart 1 with inertia (mass) 1 kg and initial velocity 1 m/s collides on a frictionless track with cart 2, with initial velocity 1/3 m/s. If the final velocity of cart 1 is, 1/3 m/s and the final velocity of cart 2 is 2/3 m/s:
a. Is this a perfectly elastic collision?
b. What is the mass of cart 2?
please provide explanation
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A 15.0 kg sled is pushed at 5 m/s up an icy slope that has an incline angle of 10 degrees. If the coefficient of kinetic friction is 0.050, how far up the slope will the sled travel before stopping? (The answer is 5.73 m, but I need to see all the steps to understand how to arrive at this answer.)
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A textbook of mass 2.06 kg rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.100 m , to a hanging book with mass 2.99 kg . The system is released from rest, and the books are observed to move a distance 1.24 m over a time interval of 0.750 s.
a) What is the tension in the part of the cord attached to the textbook?
b) What is the tension in the part of the cord attached to the book? (Take the free fall acceleration to be g = 9.80 m/s2.)
c) What is the moment of inertia of the pulley about its rotation axis? (Take the free fall acceleration to be g = 9.80 m/s2.)
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You accidentally drop an eraser out the window of an apartment 17 m above the ground.
Part A:
How long will it take for the eraser to reach the ground?
Express your answer to three significant figures and include the appropriate units.
Part B:
What speed will it have just before it reaches the ground?
Express your answer to three significant figures and include the appropriate units.
Part C:
. If you multiply the time interval answer from a and the speed answer from b, why is the result much more than 15 m?
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A uniform ladder of length L and mass m leans against a frictionless vertical wall, making an angle of 55° with the horizontal. The coefficient of static friction between the ladder and the ground is 0.40. If your mass is four times that of the ladder, how high can you climb before the ladder begins to slip?
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Very large magnetic fields can be produced using a procedure called flux compression. A metallic cylindrical tube of radius R is placed coaxially in a long solonoid of somewhat larger radius. The space between the tube and the solonoid is filled with a highly explosive material. When the explosive is set off, it collapses the tube to a cylinder of radius r<R. If the collapse happens very rapidly, induced current in the tube maintains the magnetic flux nearly constant inside the tube. If the initial magnetic field in the solonoid is T and R/r=12.0, what maximum value of magnetic field can be achieved?
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At t = 0, a flywheel has an angular velocity of 6.2 rad/s, an angular acceleration of -0.18 rad/s2, and a reference line at θ0 = 0. (a) Through what maximum angle θmax will the reference line turn in the positive direction? What are the (b) first and (c) second times the reference line will be at θ = θmax/5? At what (d) negative time and (e) positive time will the reference line be at θ = -7.7 rad?
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If the wavelength of a wave on a string is increased, will you see more nodes or fewer nodes? Explain.
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