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A cylindrical cork of radius R=1.5cm height d = 0.75cm and specific gravity of 0.24 floats at an air -water interface.
a) How far below the surface of the water is the bottom of the cork in equilibrium.
b) At time t= 0, a small of aluminium bead of mass m= 1.0gm is placed on top of the cork while imparting a downward velocity of v0 = 10cm/s to the combined cork and head system. Neglecting any friction or water flow induced with the motion of the cork, compute the dept y(t) of the bottom of the cork for all t> 0 and sketch its form. What is the maximum depth and at what time is it first reached. What is the minimum depth and at what time is it first reched?
An automobile travels on a straight road for 44 km at 49 km/h. What is the average velocity (in km/h) of the car during this 88 km trip? (Assume that it moves in the positive x direction.)
A rock is thrown vertically upward with a speed of 11.0 from the roof of a building that is 40.0 above the ground. Assume free fall. What is the speed of the rock just before it strikes the ground?
A point is located at r = 42mmi - 71mmj + 90mmk. It is first rotated about the x-axis by +82o, and then rotated about the z-axis by -35o
If you run the wire between the poles of a strong horseshoe magnet, subjecting 5.00 cm of it to a 1.95 T field (perpendicular to the wire), what force is exerted on this segment of wire
A set of crash tests consists of running a test car moving at a speed of 12.4 m/s (27.7 miles/hour) into a solid wall. obtain the average acceleration of dummy during that time
The velocity gradient u(y) near the surface of a single plate over which a fluid flows is given by the function: u(y) = ay + by^2 + cy^3. Where y is the distance from the plate's surface and a, b and c are constants with the values: a = 10.0s^-1, ..
The temperature difference between the inside and the outside of a home on a cold winter day is 49°F. Express this difference on the Celsius scale.
Two balls of mud collide head-on in a perfect inelastic Collision. Suppose m1=0.5kg, m2 = 0.25kg, v1i = 4 m/s and V2i = -3 m/s, What is the change in kinetic energy in this collision
Air is confined at atmospheric pressure (101.3kPa) in a cylinder whole volume is 0.22 m^3. When 8.0 kcal of heat is added, the volume increases at constant pressure to 0.35m^3. Calculate the increase in internal energy of the air.
Find the final velocity of the combined mass after an in elastic collision 500g at 4m/s toward 300g 2 m/s and the change of KE
Presume you carry a bag of groceries weighing 148 N from your car to the kitchen, a distance of 59m, without raising or lowering the bag.
A 500 kg mass is released at rest from a distance of two Earth radii above the surface of the Earth. Find the speed of the mass
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