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A small hole of radius 0.1 mm is present at the bottom of a tumbler. Up to what maximum height may water be stored inside the tumbler so that no water leaks out through the whole? [ given that the surface tension of water is 7.1 x 10^(-2) N/m ]

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If a 1.1x1011 N force is applied on each 100.0 m cylinder of aluminum, brass and steel with a radius of 10.0 m

(figure 8 ). Find the final length of each cylinder. Create a 1000.0 kg, cylindrical boat made of steel such that it is

able to hold a 1500.0 kg, 1.5 m3

container. Of this same boat, what is the pressure that the bottom of the boat

exerts on the water (3 Extra Credit points: What are the three principle components of steel?)

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Calculate the moment of inertia for the following examples in figure 5 given r = 0.5 m and m = 500.0 kg. How

much rotational energy does each example have if ω = 120.0 rad/sec. If each example had translational motion

through space of 100.0 m/s, what would be the total kinetic energy of each example (NOTE: For 5f, R1 = 0.25 m

and R2 = 0.5 m)?

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Each object, starting from left to right, has a mass of 20.0 kg, 25.0 kg and 5.0 kg respectively. They are attached

by rope and pulled by an individual (see figure 4). Their unified acceleration is 5.5 m/s2

in the x direction. What is

the horizontal force applied on the block system? What type of horizontal force is applied on all three blocks (e.g.

tensional, compressional, etc)? What is the horizontal force applied on m3? What is the work done by all the

blocks if they all start from rest, and are accelerated with the force you calculated for 10.0 seconds? If there is a

220.0 N frictional force is applied to the system, will the system continue to accelerate? If so, by how much?

Explain your reasoning

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A brick is on 45° incline (fig 3a). Draw the Free Body Diagram. What is the net force on the brick if it is

stationary? What must the coefficient of static friction (µs) be to have zero net work done on the block? If the

block is 125 kg, what is the work done by gravity, by friction and the net work on the block if it slides down for 5.0

seconds and assuming µk to be 1/8 that of µs? Starting at rest on a flat, frictionless surface, calculate the

acceleration needed to attain the same amount of work as the system above over a 10.5 second period.

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A 25.0 kg ball rolls off a 3.0 meter, frictionless ramp, inclined at 30.0º onto a level, frictionless floor for 25.5

seconds. Then it rolls up another frictionless ramp of equal degree and 3.5 meters in length. What is the potential

energy of the ball at part I (fig 1)? What is the kinetic energy of the ball at the part I/part II boundary? What is the

work done in part I and in part II? What is the total work done on the system from start to finish? What kind of

potential energy is described in part I? If the 2nd ramp in part III were only 2.5 m, at what velocity (remember,

speed and direction) will the ball leave the ramp? If instead you have a loop-d-loop that is as high as the 3.0 ramp

is above ground, what would be the necessary initial velocity to complete passing through the loop?

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If a force of 86 lbs parallel to the surface of a 20 degree inclined plane will push a 120 lb block up the plane at a constant speed. What is the coeffficient of sliding friction

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2 persons manage to push a motorcar of mass 1200kg at a uniform velocity along a level road.the same motorcar can be pushed by three persons to produce an accelertion of 0.2m/s.Whit what force does each person push the motorcar?

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a bullet of mass 0.04kg mpoving with a speed of 90meters per second square enters a heavy wooden block and is stopped after a distance of 60 cm. what is the average resistive force exerted by the block on the bullet??

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the main scale of vernier has 10 divisions in a centimeter and 10 vernier scale divisions coincide with 9 main scale divisions.calculate1) pitch 2)L.c of vernier caliperse

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